Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
[1] => [1] => [1] => ([],1)
[1,2] => [1,2] => [1,2] => ([],2)
[2,1] => [1,2] => [1,2] => ([],2)
[1,2,3] => [1,2,3] => [1,2,3] => ([],3)
[1,3,2] => [1,3,2] => [1,3,2] => ([(1,2)],3)
[2,1,3] => [1,3,2] => [1,3,2] => ([(1,2)],3)
[2,3,1] => [1,2,3] => [1,2,3] => ([],3)
[3,1,2] => [1,2,3] => [1,2,3] => ([],3)
[3,2,1] => [1,2,3] => [1,2,3] => ([],3)
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => ([],4)
[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => ([(2,3)],4)
[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => ([(2,3)],4)
[1,3,4,2] => [1,3,4,2] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4)
[1,4,2,3] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[1,4,3,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[2,1,3,4] => [1,3,4,2] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4)
[2,1,4,3] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[2,3,1,4] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => ([],4)
[2,4,1,3] => [1,3,2,4] => [1,3,2,4] => ([(2,3)],4)
[2,4,3,1] => [1,2,4,3] => [1,2,4,3] => ([(2,3)],4)
[3,1,2,4] => [1,2,4,3] => [1,2,4,3] => ([(2,3)],4)
[3,1,4,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[3,2,1,4] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4)
[3,2,4,1] => [1,2,4,3] => [1,2,4,3] => ([(2,3)],4)
[3,4,1,2] => [1,2,3,4] => [1,2,3,4] => ([],4)
[3,4,2,1] => [1,2,3,4] => [1,2,3,4] => ([],4)
[4,1,2,3] => [1,2,3,4] => [1,2,3,4] => ([],4)
[4,1,3,2] => [1,3,2,4] => [1,3,2,4] => ([(2,3)],4)
[4,2,1,3] => [1,3,2,4] => [1,3,2,4] => ([(2,3)],4)
[4,2,3,1] => [1,2,3,4] => [1,2,3,4] => ([],4)
[4,3,1,2] => [1,2,3,4] => [1,2,3,4] => ([],4)
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => ([],4)
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[1,2,5,4,3] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[1,3,4,2,5] => [1,3,4,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[1,3,4,5,2] => [1,3,4,5,2] => [1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,2,4] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,4,2] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[1,4,2,5,3] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[1,4,3,2,5] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[1,4,3,5,2] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[1,4,5,2,3] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,5,3,2] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[1,5,2,4,3] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,2,4] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,4,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[1,5,4,2,3] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[1,5,4,3,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,1,3,4,5] => [1,3,4,5,2] => [1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,1,3,5,4] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,1,4,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[2,1,4,5,3] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,1,5,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,1,5,4,3] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,3,1,4,5] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,3,1,5,4] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,3,4,1,5] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[2,3,5,1,4] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[2,3,5,4,1] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[2,4,1,3,5] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,5,3] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,1,5] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,5,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[2,4,5,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[2,4,5,3,1] => [1,2,4,5,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[2,5,1,3,4] => [1,3,4,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[2,5,1,4,3] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[2,5,3,1,4] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[2,5,3,4,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[2,5,4,1,3] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[2,5,4,3,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,1,2,4,5] => [1,2,4,5,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[3,1,2,5,4] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,1,4,2,5] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[3,1,4,5,2] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,1,5,2,4] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,1,5,4,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[3,2,1,4,5] => [1,4,5,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,2,1,5,4] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[3,2,4,1,5] => [1,5,2,4,3] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,4,5,1] => [1,2,4,5,3] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[3,2,5,1,4] => [1,4,2,5,3] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[3,2,5,4,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,4,1,2,5] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,4,1,5,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[3,4,2,1,5] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[3,4,2,5,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,4,5,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[3,4,5,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[3,5,1,2,4] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[3,5,1,4,2] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
>>> Load all 12014 entries. <<<
[3,5,2,1,4] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[3,5,2,4,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[3,5,4,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[3,5,4,2,1] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,1,2,3,5] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,1,2,5,3] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[4,1,3,2,5] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[4,1,3,5,2] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[4,1,5,2,3] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,1,5,3,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,2,1,3,5] => [1,3,5,2,4] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[4,2,1,5,3] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,2,3,1,5] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,2,3,5,1] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,2,5,1,3] => [1,3,2,5,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[4,2,5,3,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[4,3,1,2,5] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[4,3,1,5,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,3,2,1,5] => [1,5,2,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[4,3,2,5,1] => [1,2,5,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[4,3,5,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,3,5,2,1] => [1,2,3,5,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,5,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[4,5,1,3,2] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[4,5,2,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[4,5,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[4,5,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[4,5,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,1,2,3,4] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,1,2,4,3] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[5,1,3,2,4] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[5,1,3,4,2] => [1,3,4,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[5,1,4,2,3] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,1,4,3,2] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,2,1,3,4] => [1,3,4,2,5] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[5,2,1,4,3] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,2,3,1,4] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,2,3,4,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,2,4,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[5,2,4,3,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[5,3,1,2,4] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[5,3,1,4,2] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,3,2,1,4] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[5,3,2,4,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(3,4)],5)
[5,3,4,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,3,4,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,4,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,4,1,3,2] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[5,4,2,1,3] => [1,3,2,4,5] => [1,3,2,4,5] => ([(3,4)],5)
[5,4,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,4,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5)
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[1,2,3,6,5,4] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,5,3] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,4,3,6] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,4,6,3] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,6,4,3] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[1,2,6,5,3,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[1,2,6,5,4,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[1,3,2,6,5,4] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,5,2] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,5,4,2,6] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,5,4,6,2] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,3,5,6,4,2] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,4,5,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,2,4] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,4,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,2,6,5,3] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,2,5,6] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,3,2,6,5] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,5,2,6] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,5,6,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[1,4,3,6,2,5] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,6,5,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,5,3,2,6] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,5,3,6,2] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,3,2] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [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)
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [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)
[1,4,6,3,5,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,2,3] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,3,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,6,4,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,2,6,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,6,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,6,4,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,2,3,6] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,2,6,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,4,3,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,4,3,6,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,6,2,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,4,6,3,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,4,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,2,3] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,3,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,5,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,5,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,3,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,4,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,3,4,5,6] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,4,6,5] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,4,6] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,6,4] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,1,3,6,4,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,6,5,4] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[2,1,4,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[2,1,4,5,3,6] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,5,6,3] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,6,3,5] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,6,5,3] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,3,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[2,1,5,3,6,4] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,1,5,4,3,6] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,1,5,4,6,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[2,1,5,6,3,4] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,6,4,3] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,3,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,5,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,5,3,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,5,4,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,1,4,5,6] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,4,6,5] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,5,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[2,3,1,5,6,4] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,6,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,1,6,5,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,1,5,6] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,1,6,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[2,3,5,1,4,6] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,6,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[2,3,5,6,4,1] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,5,4] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,1,5] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[2,3,6,5,1,4] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[2,4,1,3,5,6] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,1,3,6,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,6,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,6,5,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[2,4,5,1,3,6] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,6,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[2,4,5,6,3,1] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,3,5,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[2,4,6,5,3,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,4,6] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,4,3,6] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [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)
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [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)
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,6,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[2,5,3,6,1,4] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,3,6,4,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,6,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,6,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[2,5,6,1,4,3] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,6,3,1,4] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,6,3,4,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,1,3] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[2,5,6,4,3,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,5,4] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,1,4,3,5] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,1,4,5,3] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,1,5,3,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,5,4,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,1,4,5] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,3,1,5,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,4,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[2,6,3,5,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,3,5] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,4,1,5,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,4,3,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[2,6,5,1,3,4] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[2,6,5,1,4,3] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,3,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,3,4,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[2,6,5,4,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[2,6,5,4,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,1,2,4,5,6] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,4,6,5] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,5,4,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[3,1,2,5,6,4] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,6,4,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,1,2,6,5,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,1,4,2,5,6] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,4,2,6,5] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,1,4,5,2,6] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,4,5,6,2] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [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)
[3,1,4,6,5,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,2,6,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,6,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,6,4,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,5,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,1,6,5,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,5,4,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,1,4,5,6] => [1,4,5,6,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,6,5] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,5,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[3,2,1,5,6,4] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,6,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,1,6,5,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,6,1] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,6,5,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [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)
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,6,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[3,2,5,6,1,4] => [1,4,2,5,6,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,5,6,4,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,1,4,5] => [1,4,5,2,6,3] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,2,6,1,5,4] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,4,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,4,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,2,6,5,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,5,4,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,1,2,5,6] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,2,6,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,1,5,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,6,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,6,5,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,1,5,6] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,1,6,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,6,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,6,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,2,6,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,5,1,2,6] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,5,1,6,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,5,2,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,5,2,6,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[3,4,6,1,5,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[3,4,6,2,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[3,4,6,2,5,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[3,4,6,5,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[3,5,1,2,4,6] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,4,2,6] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,1,4,6,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,4,6] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,6,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[3,5,4,6,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[3,5,6,2,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[3,5,6,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[3,5,6,4,1,2] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[3,5,6,4,2,1] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[3,6,1,2,5,4] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,2,5] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,5,2] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,4,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,1,4,5] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,5,4] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,4,5,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[3,6,2,5,1,4] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,2,5,4,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,1,2,5] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,1,5,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,4,2,1,5] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,4,2,5,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[3,6,4,5,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[3,6,5,1,2,4] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[3,6,5,1,4,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[3,6,5,2,1,4] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[3,6,5,2,4,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[3,6,5,4,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[3,6,5,4,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,1,2,3,5,6] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[4,1,2,3,6,5] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,1,2,5,3,6] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[4,1,2,5,6,3] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,6,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,1,3,2,5,6] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[4,1,3,2,6,5] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,1,3,5,2,6] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,5,6,2] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,6,5,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,2,3,6] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,2,6,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,5,3,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,5,3,6,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,2,3] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,6,3,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,5,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,1,6,5,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,1,3,5,6] => [1,3,5,6,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,1,3,6,5] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,5,3,6] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,1,5,6,3] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,6,5,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,3,1,5,6] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,1,6,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,6,1] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[4,2,3,6,1,5] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,3,6,5,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,3,6,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[4,2,5,6,1,3] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[4,2,5,6,3,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,1,3,5] => [1,3,5,2,6,4] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,6,1,5,3] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,3,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,5,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,2,6,5,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,3,1,2,5,6] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,6,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,3,1,5,2,6] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,1,5,6,2] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,6,5,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,3,2,1,5,6] => [1,5,6,2,3,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,1,6,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,6,1] => [1,2,5,6,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,1,5] => [1,5,2,6,3,4] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,1,2] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[4,3,5,6,2,1] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[4,3,6,1,2,5] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,1,5,2] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,2,1,5] => [1,5,2,3,6,4] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,2,5,1] => [1,2,5,3,6,4] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,3,6,5,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,1,2,3,6] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,1,2,6,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,5,1,3,2,6] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,5,1,3,6,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,6,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,1,6,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,1,3,6] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,6,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,3,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,3,6,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,2,6,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,5,2,6,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,5,3,1,2,6] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,5,3,1,6,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,3,2,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,3,2,6,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[4,5,3,6,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,3,6,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[4,5,6,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[4,6,1,2,5,3] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[4,6,1,3,2,5] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[4,6,1,3,5,2] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,5,2,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,1,5,3,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,2,1,3,5] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,1,5,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,2,3,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,2,3,5,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[4,6,2,5,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[4,6,2,5,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[4,6,3,1,2,5] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[4,6,3,1,5,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,3,2,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[4,6,3,2,5,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[4,6,3,5,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[4,6,3,5,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[4,6,5,1,3,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[4,6,5,2,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[4,6,5,2,3,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[4,6,5,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[4,6,5,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,1,2,3,4,6] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,1,2,3,6,4] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,1,2,4,3,6] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[5,1,2,4,6,3] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,6,3,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,1,2,6,4,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,1,3,2,4,6] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[5,1,3,2,6,4] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[5,1,3,4,2,6] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,1,3,4,6,2] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,2,4] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,4,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,2,3,6] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,1,4,2,6,3] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,4,3,2,6] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,4,3,6,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,1,4,6,2,3] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,6,3,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,2,3,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,4,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,4,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,4,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,3,4,6] => [1,3,4,6,2,5] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,6,4] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,4,3,6] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,2,1,4,6,3] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,6,3,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,6,4,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,1,4,6] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,1,6,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,4,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,4,6,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,2,3,6,1,4] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,2,3,6,4,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,2,4,1,3,6] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[5,2,4,6,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[5,2,4,6,3,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,1,3,4] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,2,6,1,4,3] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,6,3,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,6,3,4,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,2,6,4,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[5,2,6,4,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,3,1,2,4,6] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,6,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,3,1,4,2,6] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,4,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,2,1,4,6] => [1,4,6,2,3,5] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,6,4] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,6,1] => [1,2,4,6,3,5] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,1,4] => [1,4,2,6,3,5] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,2,6,4,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,3,4,1,2,6] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,3,4,1,6,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,4,2,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,4,2,6,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,3,4,6,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,3,4,6,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,3,6,1,2,4] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[5,3,6,1,4,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,3,6,2,1,4] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,3,6,2,4,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[5,3,6,4,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,3,6,4,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,4,1,2,3,6] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,4,1,2,6,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,4,1,3,2,6] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[5,4,1,3,6,2] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,6,2,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,1,6,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,1,3,6] => [1,3,6,2,4,5] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,6,3] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,3,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,3,6,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,4,2,6,1,3] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[5,4,2,6,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,4,3,1,2,6] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,4,3,1,6,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,1,6] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,4,3,6,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[5,4,6,1,2,3] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,4,6,1,3,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[5,4,6,2,1,3] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[5,4,6,2,3,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,4,6,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,4,6,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[5,6,1,4,2,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,1,4,3,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,2,1,3,4] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[5,6,2,1,4,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,2,3,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,2,4,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[5,6,2,4,3,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[5,6,3,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[5,6,3,1,4,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,3,2,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[5,6,3,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,4,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[5,6,4,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,1,2,3,5,4] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,1,2,4,3,5] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,1,2,4,5,3] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[6,1,2,5,3,4] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,1,2,5,4,3] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,1,3,2,4,5] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,1,3,2,5,4] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[6,1,3,4,2,5] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[6,1,3,4,5,2] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,2,4] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,4,2] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,3,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,1,4,2,5,3] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,1,4,3,2,5] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,1,4,3,5,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,1,4,5,2,3] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,3,2] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,3,4] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,4,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,1,5,4,2,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,1,5,4,3,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,2,1,3,4,5] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,5,4] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,4,3,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,2,1,4,5,3] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,3,4] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,2,1,5,4,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,2,3,1,4,5] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,1,5,4] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,2,3,4,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,2,3,5,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,2,3,5,4,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,2,4,1,3,5] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,5,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,2,4,5,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,2,4,5,3,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[6,2,5,1,3,4] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[6,2,5,1,4,3] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,2,5,3,1,4] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,2,5,3,4,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,2,5,4,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[6,2,5,4,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,3,1,2,4,5] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[6,3,1,2,5,4] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,3,1,4,2,5] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,1,4,5,2] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,4,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,3,2,1,4,5] => [1,4,5,2,3,6] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,5,4] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,5,1] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[6,3,2,5,1,4] => [1,4,2,5,3,6] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,5,4,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,3,4,1,2,5] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,3,4,1,5,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,3,4,2,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,3,4,2,5,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,3,5,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,3,5,1,4,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,3,5,2,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,3,5,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,3,5,4,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,3,5,4,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,4,1,2,3,5] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,4,1,2,5,3] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,4,1,3,2,5] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[6,4,1,3,5,2] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,5,2,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,1,5,3,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,2,1,3,5] => [1,3,5,2,4,6] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,5,3] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,2,3,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,2,3,5,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,4,2,5,1,3] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[6,4,2,5,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,4,3,1,2,5] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,4,3,1,5,2] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,3,2,1,5] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[6,4,3,5,1,2] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,4,3,5,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(4,5)],6)
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,4,5,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,4,5,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,1,2,4,3] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,5,1,3,2,4] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,5,1,3,4,2] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[6,5,1,4,2,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,1,4,3,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,2,1,3,4] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[6,5,2,1,4,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,2,3,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,2,4,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,5,2,4,3,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,5,3,1,2,4] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,5,3,1,4,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,3,2,1,4] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[6,5,3,2,4,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6)
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,4,1,3,2] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,5,4,2,1,3] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6)
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6)
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],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] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[1,2,3,5,6,4,7] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,6,4] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[1,2,3,6,4,7,5] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,5,4,7] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,5,7,4] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[1,2,4,3,6,7,5] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,4,5,3,6,7] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[1,2,4,5,3,7,6] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,3,6] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,6,3] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,7,5] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,3,7] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,7,3] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,7,3,5] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,6,7,5,3] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,6,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,3,5] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,5,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,5,3,6,4,7] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,3,6,7,4] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,3,7,6,4] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,3,6,7] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,4,3,7,6] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,6,3,7] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,6,7,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[1,2,5,4,7,3,6] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,7,6,3] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,2,5,6,3,4,7] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,3,7,4] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,3,7] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,7,3] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => [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)
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => [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)
[1,2,5,7,4,6,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,3,4] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,4,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,7,5] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,7,4,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,7,5,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,7,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,5,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,5,7,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,5,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,3,4,7] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,3,7,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,5,4,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,5,4,7,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,7,3,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,4,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[1,3,2,4,6,7,5] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[1,3,2,5,6,4,7] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,5,6,7,4] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,5,7,4] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,5,7] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[1,3,4,2,7,5,6] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,3,4,2,7,6,5] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,2,7,6] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => [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)
[1,3,4,5,7,2,6] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,7,6,2] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,7,5] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,2,7] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,7,2] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,2,5] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,5,2] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,5,6] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => [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)
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => [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)
[1,3,4,7,5,6,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,2,5] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,5,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,6,4,7] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,2,6,7,4] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,2,7,6,4] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,2,6,7] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,5,4,2,7,6] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,6,2,7] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,6,7,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,2,6] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,6,2] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,2,4,7] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,6,2,7,4] => [1,3,5,6,2,7,4] => [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)
[1,3,5,6,4,2,7] => [1,3,5,6,2,7,4] => [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)
[1,3,5,6,4,7,2] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,6,7,2,4] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,7,4,2] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => [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)
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => [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)
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,7,5] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => [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)
[1,3,6,2,7,4,5] => [1,3,6,2,7,4,5] => [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)
[1,3,6,2,7,5,4] => [1,3,6,2,7,4,5] => [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)
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => [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)
[1,3,6,4,2,7,5] => [1,3,6,2,7,4,5] => [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)
[1,3,6,4,5,2,7] => [1,3,6,2,7,4,5] => [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)
[1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,5,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,4,7] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,7,4] => [1,3,6,2,7,4,5] => [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)
[1,3,6,5,4,2,7] => [1,3,6,2,7,4,5] => [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)
[1,3,6,5,4,7,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,2,4,5] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => [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)
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => [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)
[1,3,6,7,4,5,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,2,4] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,4,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => [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)
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => [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)
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => [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)
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => [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)
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => [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)
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => [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)
[1,3,7,4,5,6,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => [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)
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => [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)
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,4,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,5,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,7,5] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,3,7,6,5] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,5,3,6,7] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,3,7,6] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,6,7,3] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,5,7,3,6] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,7,6,3] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,3,7,5] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,2,6,5,3,7] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,2,6,5,7,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,7,3,5] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,5,3] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,3,6] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,6,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,6,3,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,6,5,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,5,6,7] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,7,6] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,2,6,5,7] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,6,7,5] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,7,5,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,7,6,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,2,6,7] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,7,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,6,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,6,7,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[1,4,3,5,7,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[1,4,3,6,2,5,7] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,6,2,7,5] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,5,2,7] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,5,7,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[1,4,3,6,7,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,6,7,5,2] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,7,2,6,5] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,3,7,5,2,6] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,3,7,5,6,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,3,7,6,2,5] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,7,6,5,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,5,2,3,6,7] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,6,3,7] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,2,6,7,3] => [1,4,5,2,6,7,3] => [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)
[1,4,5,2,7,3,6] => [1,4,5,2,7,3,6] => [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)
[1,4,5,2,7,6,3] => [1,4,5,2,7,3,6] => [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)
[1,4,5,3,2,6,7] => [1,4,5,2,6,7,3] => [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)
[1,4,5,3,2,7,6] => [1,4,5,2,7,3,6] => [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)
[1,4,5,3,6,2,7] => [1,4,5,2,7,3,6] => [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)
[1,4,5,3,6,7,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,7,2,6] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,3,7] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,7,3] => [1,4,5,6,2,7,3] => [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)
[1,4,5,6,3,2,7] => [1,4,5,6,2,7,3] => [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)
[1,4,5,6,3,7,2] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => [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)
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => [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)
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,7,5] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => [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)
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => [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)
[1,4,6,2,7,3,5] => [1,4,6,2,7,3,5] => [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)
[1,4,6,2,7,5,3] => [1,4,6,2,7,3,5] => [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)
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => [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)
[1,4,6,3,2,7,5] => [1,4,6,2,7,3,5] => [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)
[1,4,6,3,5,2,7] => [1,4,6,2,7,3,5] => [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)
[1,4,6,3,5,7,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => [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)
[1,4,6,3,7,5,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,3,7] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,7,3] => [1,4,6,2,7,3,5] => [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)
[1,4,6,5,3,2,7] => [1,4,6,2,7,3,5] => [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)
[1,4,6,5,3,7,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,2,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,3,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,2,3,5] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,2,5,3] => [1,4,6,7,2,5,3] => [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)
[1,4,6,7,3,2,5] => [1,4,6,7,2,5,3] => [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)
[1,4,6,7,3,5,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,2,3] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,3,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,3,6] => [1,4,7,2,5,3,6] => [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)
[1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => [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)
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => [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)
[1,4,7,2,6,5,3] => [1,4,7,2,6,3,5] => [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)
[1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => [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)
[1,4,7,3,2,6,5] => [1,4,7,2,6,3,5] => [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)
[1,4,7,3,5,2,6] => [1,4,7,2,6,3,5] => [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)
[1,4,7,3,5,6,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,2,5] => [1,4,7,2,5,3,6] => [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)
[1,4,7,3,6,5,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,3,6] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,6,3] => [1,4,7,2,6,3,5] => [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)
[1,4,7,5,3,2,6] => [1,4,7,2,6,3,5] => [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)
[1,4,7,5,3,6,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,3,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,5,3] => [1,4,7,2,5,3,6] => [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)
[1,4,7,6,3,2,5] => [1,4,7,2,5,3,6] => [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)
[1,4,7,6,3,5,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,4,7] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,3,6,7,4] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,7,4,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,7,6,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,3,7] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,6,7,3] => [1,5,2,4,6,7,3] => [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)
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,7,6,3] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,3,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,3,7,4] => [1,5,2,6,3,7,4] => [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)
[1,5,2,6,4,3,7] => [1,5,2,6,3,7,4] => [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)
[1,5,2,6,4,7,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,7,3,4] => [1,5,2,6,7,3,4] => [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)
[1,5,2,6,7,4,3] => [1,5,2,6,7,3,4] => [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)
[1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,3,6,4] => [1,5,2,7,3,6,4] => [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)
[1,5,2,7,4,3,6] => [1,5,2,7,3,6,4] => [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)
[1,5,2,7,4,6,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,6,3,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,6,4,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,4,6,7] => [1,5,2,4,6,7,3] => [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)
[1,5,3,2,4,7,6] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,7,4] => [1,5,2,6,7,3,4] => [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)
[1,5,3,2,7,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,7,6,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,2,6,7] => [1,5,2,6,7,3,4] => [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)
[1,5,3,4,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,6,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,6,7,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,7,6,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,3,6,2,4,7] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,6,2,7,4] => [1,5,2,7,3,6,4] => [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)
[1,5,3,6,4,2,7] => [1,5,2,7,3,6,4] => [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)
[1,5,3,6,4,7,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,6,7,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,7,4,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,2,4,6] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,2,6,4] => [1,5,2,6,3,7,4] => [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)
[1,5,3,7,4,2,6] => [1,5,2,6,3,7,4] => [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)
[1,5,3,7,4,6,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,6,2,4] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,6,4,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,3,6,7] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,3,7,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,6,3,7] => [1,5,2,6,3,7,4] => [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)
[1,5,4,2,6,7,3] => [1,5,2,6,7,3,4] => [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)
[1,5,4,2,7,3,6] => [1,5,2,7,3,6,4] => [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)
[1,5,4,2,7,6,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,2,6,7] => [1,5,2,6,7,3,4] => [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)
[1,5,4,3,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,6,2,7] => [1,5,2,7,3,6,4] => [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)
[1,5,4,3,6,7,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,7,2,6] => [1,5,2,6,3,7,4] => [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)
[1,5,4,3,7,6,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,7,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,3,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,3,7,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,7,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,4,6,7,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,4,7,2,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,2,6,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,6,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,6,2,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,4,7,6,3,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,6,2,3,4,7] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,3,7,4] => [1,5,6,2,3,7,4] => [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)
[1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => [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)
[1,5,6,2,7,3,4] => [1,5,6,2,7,3,4] => [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)
[1,5,6,2,7,4,3] => [1,5,6,2,7,3,4] => [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)
[1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => [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)
[1,5,6,3,2,7,4] => [1,5,6,2,7,3,4] => [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)
[1,5,6,3,4,2,7] => [1,5,6,2,7,3,4] => [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)
[1,5,6,3,4,7,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,4,2] => [1,5,6,2,3,7,4] => [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)
[1,5,6,4,2,3,7] => [1,5,6,2,3,7,4] => [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)
[1,5,6,4,2,7,3] => [1,5,6,2,7,3,4] => [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)
[1,5,6,4,3,2,7] => [1,5,6,2,7,3,4] => [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)
[1,5,6,4,3,7,2] => [1,5,6,2,3,7,4] => [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)
[1,5,6,4,7,2,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,3,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => [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)
[1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => [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)
[1,5,6,7,3,4,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,2,3] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,3,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,6,4] => [1,5,7,2,3,6,4] => [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)
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,4,6,3] => [1,5,7,2,4,6,3] => [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)
[1,5,7,2,6,3,4] => [1,5,7,2,6,3,4] => [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)
[1,5,7,2,6,4,3] => [1,5,7,2,6,3,4] => [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)
[1,5,7,3,2,4,6] => [1,5,7,2,4,6,3] => [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)
[1,5,7,3,2,6,4] => [1,5,7,2,6,3,4] => [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)
[1,5,7,3,4,2,6] => [1,5,7,2,6,3,4] => [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)
[1,5,7,3,4,6,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,4,2] => [1,5,7,2,3,6,4] => [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)
[1,5,7,4,2,3,6] => [1,5,7,2,3,6,4] => [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)
[1,5,7,4,2,6,3] => [1,5,7,2,6,3,4] => [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)
[1,5,7,4,3,2,6] => [1,5,7,2,6,3,4] => [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)
[1,5,7,4,3,6,2] => [1,5,7,2,3,6,4] => [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)
[1,5,7,4,6,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,3,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,4,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,4,7,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,2,3,5,4,7] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,5,7,4] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,7,4,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,7,5,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,7,5] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,3,7] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,7,3] => [1,6,2,4,5,7,3] => [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)
[1,6,2,4,7,3,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,7,5,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,5,3,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,7,4] => [1,6,2,5,3,7,4] => [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)
[1,6,2,5,4,3,7] => [1,6,2,5,3,7,4] => [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)
[1,6,2,5,4,7,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,7,3,4] => [1,6,2,5,7,3,4] => [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)
[1,6,2,5,7,4,3] => [1,6,2,5,7,3,4] => [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)
[1,6,2,7,3,4,5] => [1,6,2,7,3,4,5] => [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)
[1,6,2,7,3,5,4] => [1,6,2,7,3,5,4] => [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)
[1,6,2,7,4,3,5] => [1,6,2,7,3,5,4] => [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)
[1,6,2,7,4,5,3] => [1,6,2,7,3,4,5] => [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)
[1,6,2,7,5,3,4] => [1,6,2,7,3,4,5] => [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)
[1,6,2,7,5,4,3] => [1,6,2,7,3,4,5] => [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)
[1,6,3,2,4,5,7] => [1,6,2,4,5,7,3] => [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)
[1,6,3,2,4,7,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,5,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,5,7,4] => [1,6,2,5,7,3,4] => [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)
[1,6,3,2,7,4,5] => [1,6,2,7,3,4,5] => [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)
[1,6,3,2,7,5,4] => [1,6,2,7,3,4,5] => [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)
[1,6,3,4,2,5,7] => [1,6,2,5,7,3,4] => [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)
[1,6,3,4,2,7,5] => [1,6,2,7,3,4,5] => [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)
[1,6,3,4,5,2,7] => [1,6,2,7,3,4,5] => [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)
[1,6,3,4,5,7,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,7,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,5,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,3,5,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,5,2,7,4] => [1,6,2,7,3,5,4] => [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)
[1,6,3,5,4,2,7] => [1,6,2,7,3,5,4] => [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)
[1,6,3,5,4,7,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,4,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,2,4,5] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,2,5,4] => [1,6,2,5,3,7,4] => [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)
[1,6,3,7,4,2,5] => [1,6,2,5,3,7,4] => [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)
[1,6,3,7,4,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,5,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,3,5,7] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,3,7,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,5,3,7] => [1,6,2,5,3,7,4] => [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)
[1,6,4,2,5,7,3] => [1,6,2,5,7,3,4] => [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)
[1,6,4,2,7,3,5] => [1,6,2,7,3,5,4] => [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)
[1,6,4,2,7,5,3] => [1,6,2,7,3,4,5] => [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)
[1,6,4,3,2,5,7] => [1,6,2,5,7,3,4] => [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)
[1,6,4,3,2,7,5] => [1,6,2,7,3,4,5] => [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)
[1,6,4,3,5,2,7] => [1,6,2,7,3,5,4] => [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)
[1,6,4,3,5,7,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,7,2,5] => [1,6,2,5,3,7,4] => [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)
[1,6,4,3,7,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,7,3] => [1,6,2,7,3,4,5] => [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)
[1,6,4,5,3,2,7] => [1,6,2,7,3,4,5] => [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)
[1,6,4,5,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,7,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,7,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,2,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,5,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,5,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,4,7,5,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,2,3,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,2,3,7,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,4,3,7] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,7,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,7,3,4] => [1,6,2,7,3,4,5] => [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)
[1,6,5,2,7,4,3] => [1,6,2,7,3,4,5] => [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)
[1,6,5,3,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,2,7,4] => [1,6,2,7,3,4,5] => [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)
[1,6,5,3,4,2,7] => [1,6,2,7,3,4,5] => [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)
[1,6,5,3,4,7,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,3,7,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,2,7,3] => [1,6,2,7,3,4,5] => [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)
[1,6,5,4,3,2,7] => [1,6,2,7,3,4,5] => [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)
[1,6,5,4,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,7,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,4,7,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,7,2,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => [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)
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => [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)
[1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => [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)
[1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => [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)
[1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => [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)
[1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => [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)
[1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => [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)
[1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => [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)
[1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,4,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => [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)
[1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => [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)
[1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => [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)
[1,7,2,4,3,5,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,6,5] => [1,7,2,4,3,6,5] => [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)
[1,7,2,4,5,3,6] => [1,7,2,4,5,3,6] => [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)
[1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => [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)
[1,7,2,4,6,3,5] => [1,7,2,4,6,3,5] => [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)
[1,7,2,4,6,5,3] => [1,7,2,4,6,3,5] => [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)
[1,7,2,5,3,4,6] => [1,7,2,5,3,4,6] => [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)
[1,7,2,5,3,6,4] => [1,7,2,5,3,6,4] => [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)
[1,7,2,5,4,3,6] => [1,7,2,5,3,6,4] => [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)
[1,7,2,5,4,6,3] => [1,7,2,5,3,4,6] => [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)
[1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => [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)
[1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => [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)
[1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => [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)
[1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => [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)
[1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => [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)
[1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => [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)
[1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => [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)
[1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => [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)
[1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => [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)
[1,7,3,2,4,6,5] => [1,7,2,4,6,3,5] => [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)
[1,7,3,2,5,4,6] => [1,7,2,5,3,4,6] => [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)
[1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => [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)
[1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => [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)
[1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => [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)
[1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => [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)
[1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => [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)
[1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => [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)
[1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,6,2,5] => [1,7,2,5,3,4,6] => [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)
[1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,4,6] => [1,7,2,4,6,3,5] => [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)
[1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => [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)
[1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => [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)
[1,7,3,5,4,6,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => [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)
[1,7,3,6,2,4,5] => [1,7,2,4,5,3,6] => [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)
[1,7,3,6,2,5,4] => [1,7,2,5,3,6,4] => [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)
[1,7,3,6,4,2,5] => [1,7,2,5,3,6,4] => [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)
[1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => [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)
[1,7,3,6,5,2,4] => [1,7,2,4,3,6,5] => [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)
[1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => [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)
[1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => [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)
[1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => [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)
[1,7,4,2,5,3,6] => [1,7,2,5,3,6,4] => [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)
[1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => [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)
[1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => [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)
[1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => [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)
[1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => [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)
[1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => [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)
[1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => [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)
[1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => [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)
[1,7,4,3,6,2,5] => [1,7,2,5,3,6,4] => [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)
[1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => [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)
[1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => [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)
[1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => [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)
[1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => [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)
[1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => [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)
[1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,5,3] => [1,7,2,5,3,4,6] => [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)
[1,7,4,6,3,2,5] => [1,7,2,5,3,4,6] => [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)
[1,7,4,6,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => [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)
[1,7,5,2,4,3,6] => [1,7,2,4,3,6,5] => [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)
[1,7,5,2,4,6,3] => [1,7,2,4,6,3,5] => [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)
[1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => [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)
[1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => [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)
[1,7,5,3,2,4,6] => [1,7,2,4,6,3,5] => [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)
[1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => [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)
[1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => [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)
[1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,2,4] => [1,7,2,4,3,6,5] => [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)
[1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => [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)
[1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => [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)
[1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => [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)
[1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => [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)
[1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => [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)
[1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,5,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,3,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,5,3] => [1,7,2,4,5,3,6] => [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)
[1,7,6,2,5,3,4] => [1,7,2,5,3,4,6] => [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)
[1,7,6,2,5,4,3] => [1,7,2,5,3,4,6] => [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)
[1,7,6,3,2,4,5] => [1,7,2,4,5,3,6] => [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)
[1,7,6,3,2,5,4] => [1,7,2,5,3,4,6] => [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)
[1,7,6,3,4,2,5] => [1,7,2,5,3,4,6] => [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)
[1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,5,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,4,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,5,3] => [1,7,2,5,3,4,6] => [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)
[1,7,6,4,3,2,5] => [1,7,2,5,3,4,6] => [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)
[1,7,6,4,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => [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)
[2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,3,5] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,4,6,7,5,3] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,4,7,3,5,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,3,6,5] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,3,6] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,6,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,3,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,5,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,1,5,3,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,5,3,6,4,7] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,3,6,7,4] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,4,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,6,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,6,7] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,7,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,7,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,1,5,4,7,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,4,7,6,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,5,6,3,4,7] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,3,7,4] => [1,5,6,2,3,7,4] => [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)
[2,1,5,6,4,3,7] => [1,5,6,2,3,7,4] => [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)
[2,1,5,6,4,7,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,3,4] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,4,3] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,4,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,6,4] => [1,5,7,2,3,6,4] => [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)
[2,1,5,7,4,3,6] => [1,5,7,2,3,6,4] => [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)
[2,1,5,7,4,6,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,3,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,4,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,3,4,7,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,3,5,4,7] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,5,7,4] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,4,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,5,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,5,7] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,7,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,7,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,4,7,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,5,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,3,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,3,7,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,7,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,7,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,5,7,4,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,4,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => [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)
[2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => [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)
[2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => [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)
[2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => [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)
[2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => [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)
[2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => [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)
[2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,4,6,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => [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)
[2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => [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)
[2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,3,5,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,6,7,5] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,1,4,7,5,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,7,6,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,3,1,5,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,1,5,6,4,7] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,6,7,4] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,4,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,6,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,6,4,7,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,6,5,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,6,5,7,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,5,6,7] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[2,3,4,5,7,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[2,3,4,6,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[2,3,4,6,7,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,6,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,4,7,5,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[2,3,4,7,6,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[2,3,5,1,4,6,7] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,5,1,4,7,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,6,4,7] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,7,4,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,7,6,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,7,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[2,3,5,4,7,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[2,3,5,6,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => [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)
[2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => [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)
[2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,6,4] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,1,6] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,7,5] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,5,4,7] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,1,5,7,4] => [1,5,7,2,3,6,4] => [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)
[2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => [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)
[2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => [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)
[2,3,6,4,1,5,7] => [1,5,7,2,3,6,4] => [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)
[2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => [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)
[2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => [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)
[2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[2,3,6,4,7,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,1,4,7] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => [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)
[2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => [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)
[2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,1,5,4] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,4,1,5] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,1,5,4,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,5,6,4] => [1,5,6,2,3,7,4] => [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)
[2,3,7,1,6,4,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,6,5,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,1,5,6] => [1,5,6,2,3,7,4] => [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)
[2,3,7,4,1,6,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,5,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[2,3,7,4,6,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,6,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,4,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,5,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,4,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,3,6,7] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,3,7,6] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => [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)
[2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,3,7,5] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,5,3,7] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,5,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,6,5] => [1,7,2,4,3,6,5] => [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)
[2,4,1,7,5,3,6] => [1,7,2,4,3,6,5] => [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)
[2,4,1,7,5,6,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,3,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,5,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => [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)
[2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,5,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,6,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,7,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,1,7,5] => [1,7,2,4,3,6,5] => [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)
[2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => [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)
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[2,4,3,6,7,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,6,5] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,1,6] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[2,4,3,7,6,1,5] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,3,7] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => [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)
[2,4,5,1,7,3,6] => [1,7,2,4,5,3,6] => [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)
[2,4,5,1,7,6,3] => [1,7,2,4,5,3,6] => [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)
[2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => [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)
[2,4,5,3,1,7,6] => [1,7,2,4,5,3,6] => [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)
[2,4,5,3,6,1,7] => [1,7,2,4,5,3,6] => [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)
[2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,1,6] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => [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)
[2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => [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)
[2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,6,3] => [1,6,2,4,5,7,3] => [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)
[2,4,5,7,3,1,6] => [1,6,2,4,5,7,3] => [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)
[2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,5,3,7] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,5,7,3] => [1,5,7,2,4,6,3] => [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)
[2,4,6,1,7,3,5] => [1,7,2,4,6,3,5] => [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)
[2,4,6,1,7,5,3] => [1,7,2,4,6,3,5] => [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)
[2,4,6,3,1,5,7] => [1,5,7,2,4,6,3] => [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)
[2,4,6,3,1,7,5] => [1,7,2,4,6,3,5] => [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)
[2,4,6,3,5,1,7] => [1,7,2,4,6,3,5] => [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)
[2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,1,5] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,7,3] => [1,7,2,4,6,3,5] => [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)
[2,4,6,5,3,1,7] => [1,7,2,4,6,3,5] => [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)
[2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,5,3] => [1,5,2,4,6,7,3] => [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)
[2,4,6,7,3,1,5] => [1,5,2,4,6,7,3] => [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)
[2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,1,5,3,6] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => [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)
[2,4,7,1,6,3,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,6,5,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => [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)
[2,4,7,3,1,6,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,5,1,6,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,5,3] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => [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)
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => [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)
[2,5,1,4,6,7,3] => [1,4,6,7,2,5,3] => [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)
[2,5,1,4,7,3,6] => [1,4,7,2,5,3,6] => [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)
[2,5,1,4,7,6,3] => [1,4,7,2,5,3,6] => [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)
[2,5,1,6,3,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,7,4] => [1,6,2,5,3,7,4] => [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)
[2,5,1,6,4,3,7] => [1,6,2,5,3,7,4] => [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)
[2,5,1,6,4,7,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => [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)
[2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => [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)
[2,5,1,7,3,4,6] => [1,7,2,5,3,4,6] => [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)
[2,5,1,7,3,6,4] => [1,7,2,5,3,6,4] => [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)
[2,5,1,7,4,3,6] => [1,7,2,5,3,6,4] => [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)
[2,5,1,7,4,6,3] => [1,7,2,5,3,4,6] => [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)
[2,5,1,7,6,3,4] => [1,7,2,5,3,4,6] => [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)
[2,5,1,7,6,4,3] => [1,7,2,5,3,4,6] => [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)
[2,5,3,1,4,6,7] => [1,4,6,7,2,5,3] => [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)
[2,5,3,1,4,7,6] => [1,4,7,2,5,3,6] => [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)
[2,5,3,1,6,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => [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)
[2,5,3,1,7,4,6] => [1,7,2,5,3,4,6] => [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)
[2,5,3,1,7,6,4] => [1,7,2,5,3,4,6] => [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)
[2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => [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)
[2,5,3,4,1,7,6] => [1,7,2,5,3,4,6] => [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)
[2,5,3,4,6,1,7] => [1,7,2,5,3,4,6] => [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)
[2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[2,5,3,4,7,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[2,5,3,6,1,4,7] => [1,4,7,2,5,3,6] => [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)
[2,5,3,6,1,7,4] => [1,7,2,5,3,6,4] => [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)
[2,5,3,6,4,1,7] => [1,7,2,5,3,6,4] => [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)
[2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => [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)
[2,5,3,7,1,6,4] => [1,6,2,5,3,7,4] => [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)
[2,5,3,7,4,1,6] => [1,6,2,5,3,7,4] => [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)
[2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => [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)
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,3,7] => [1,6,2,5,3,7,4] => [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)
[2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => [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)
[2,5,4,1,7,3,6] => [1,7,2,5,3,6,4] => [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)
[2,5,4,1,7,6,3] => [1,7,2,5,3,4,6] => [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)
[2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => [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)
[2,5,4,3,1,7,6] => [1,7,2,5,3,4,6] => [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)
[2,5,4,3,6,1,7] => [1,7,2,5,3,6,4] => [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)
[2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,1,6] => [1,6,2,5,3,7,4] => [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)
[2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,7,3] => [1,7,2,5,3,4,6] => [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)
[2,5,4,6,3,1,7] => [1,7,2,5,3,4,6] => [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)
[2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,6,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => [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)
[2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => [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)
[2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => [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)
[2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => [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)
[2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => [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)
[2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => [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)
[2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => [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)
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => [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)
[2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => [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)
[2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => [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)
[2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => [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)
[2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => [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)
[2,5,7,1,6,3,4] => [1,6,2,5,7,3,4] => [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)
[2,5,7,1,6,4,3] => [1,6,2,5,7,3,4] => [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)
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => [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)
[2,5,7,3,1,6,4] => [1,6,2,5,7,3,4] => [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)
[2,5,7,3,4,1,6] => [1,6,2,5,7,3,4] => [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)
[2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => [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)
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => [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)
[2,5,7,4,1,6,3] => [1,6,2,5,7,3,4] => [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)
[2,5,7,4,3,1,6] => [1,6,2,5,7,3,4] => [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)
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => [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)
[2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => [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)
[2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => [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)
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => [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)
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => [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)
[2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => [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)
[2,6,1,4,7,3,5] => [1,4,7,2,6,3,5] => [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)
[2,6,1,4,7,5,3] => [1,4,7,2,6,3,5] => [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)
[2,6,1,5,3,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,3,7,4] => [1,5,2,6,3,7,4] => [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)
[2,6,1,5,4,3,7] => [1,5,2,6,3,7,4] => [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)
[2,6,1,5,4,7,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,7,3,4] => [1,5,7,2,6,3,4] => [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)
[2,6,1,5,7,4,3] => [1,5,7,2,6,3,4] => [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)
[2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => [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)
[2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => [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)
[2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => [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)
[2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => [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)
[2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => [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)
[2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => [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)
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => [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)
[2,6,3,1,4,7,5] => [1,4,7,2,6,3,5] => [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)
[2,6,3,1,5,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,5,7,4] => [1,5,7,2,6,3,4] => [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)
[2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => [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)
[2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => [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)
[2,6,3,4,1,5,7] => [1,5,7,2,6,3,4] => [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)
[2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => [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)
[2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => [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)
[2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[2,6,3,4,7,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,5,1,4,7] => [1,4,7,2,6,3,5] => [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)
[2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => [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)
[2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => [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)
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,1,5,4] => [1,5,2,6,3,7,4] => [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)
[2,6,3,7,4,1,5] => [1,5,2,6,3,7,4] => [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)
[2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => [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)
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => [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)
[2,6,4,1,5,3,7] => [1,5,2,6,3,7,4] => [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)
[2,6,4,1,5,7,3] => [1,5,7,2,6,3,4] => [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)
[2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => [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)
[2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => [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)
[2,6,4,3,1,5,7] => [1,5,7,2,6,3,4] => [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)
[2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => [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)
[2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => [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)
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,7,1,5] => [1,5,2,6,3,7,4] => [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)
[2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => [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)
[2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => [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)
[2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => [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)
[2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,5,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,3,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => [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)
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => [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)
[2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,5,1,4,7,3] => [1,4,7,2,6,3,5] => [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)
[2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => [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)
[2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => [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)
[2,6,5,3,1,4,7] => [1,4,7,2,6,3,5] => [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)
[2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => [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)
[2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => [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)
[2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => [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)
[2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => [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)
[2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => [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)
[2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => [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)
[2,6,7,1,5,3,4] => [1,5,2,6,7,3,4] => [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)
[2,6,7,1,5,4,3] => [1,5,2,6,7,3,4] => [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)
[2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => [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)
[2,6,7,3,1,5,4] => [1,5,2,6,7,3,4] => [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)
[2,6,7,3,4,1,5] => [1,5,2,6,7,3,4] => [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)
[2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,7,4,1,5,3] => [1,5,2,6,7,3,4] => [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)
[2,6,7,4,3,1,5] => [1,5,2,6,7,3,4] => [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)
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => [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)
[2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => [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)
[2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => [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)
[2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => [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)
[2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => [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)
[2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => [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)
[2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => [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)
[2,7,1,5,3,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,3,6,4] => [1,5,2,7,3,6,4] => [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)
[2,7,1,5,4,3,6] => [1,5,2,7,3,6,4] => [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)
[2,7,1,5,4,6,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,6,3,4] => [1,5,6,2,7,3,4] => [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)
[2,7,1,5,6,4,3] => [1,5,6,2,7,3,4] => [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)
[2,7,1,6,3,4,5] => [1,6,2,7,3,4,5] => [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)
[2,7,1,6,3,5,4] => [1,6,2,7,3,5,4] => [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)
[2,7,1,6,4,3,5] => [1,6,2,7,3,5,4] => [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)
[2,7,1,6,4,5,3] => [1,6,2,7,3,4,5] => [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)
[2,7,1,6,5,3,4] => [1,6,2,7,3,4,5] => [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)
[2,7,1,6,5,4,3] => [1,6,2,7,3,4,5] => [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)
[2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => [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)
[2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => [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)
[2,7,3,1,5,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,5,6,4] => [1,5,6,2,7,3,4] => [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)
[2,7,3,1,6,4,5] => [1,6,2,7,3,4,5] => [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)
[2,7,3,1,6,5,4] => [1,6,2,7,3,4,5] => [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)
[2,7,3,4,1,5,6] => [1,5,6,2,7,3,4] => [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)
[2,7,3,4,1,6,5] => [1,6,2,7,3,4,5] => [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)
[2,7,3,4,5,1,6] => [1,6,2,7,3,4,5] => [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)
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,4,6,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => [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)
[2,7,3,5,1,6,4] => [1,6,2,7,3,5,4] => [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)
[2,7,3,5,4,1,6] => [1,6,2,7,3,5,4] => [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)
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => [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)
[2,7,3,6,1,5,4] => [1,5,2,7,3,6,4] => [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)
[2,7,3,6,4,1,5] => [1,5,2,7,3,6,4] => [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)
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => [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)
[2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => [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)
[2,7,4,1,5,3,6] => [1,5,2,7,3,6,4] => [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)
[2,7,4,1,5,6,3] => [1,5,6,2,7,3,4] => [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)
[2,7,4,1,6,3,5] => [1,6,2,7,3,5,4] => [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)
[2,7,4,1,6,5,3] => [1,6,2,7,3,4,5] => [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)
[2,7,4,3,1,5,6] => [1,5,6,2,7,3,4] => [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)
[2,7,4,3,1,6,5] => [1,6,2,7,3,4,5] => [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)
[2,7,4,3,5,1,6] => [1,6,2,7,3,5,4] => [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)
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,1,5] => [1,5,2,7,3,6,4] => [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)
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => [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)
[2,7,4,5,1,6,3] => [1,6,2,7,3,4,5] => [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)
[2,7,4,5,3,1,6] => [1,6,2,7,3,4,5] => [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)
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => [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)
[2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => [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)
[2,7,5,1,6,3,4] => [1,6,2,7,3,4,5] => [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)
[2,7,5,1,6,4,3] => [1,6,2,7,3,4,5] => [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)
[2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => [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)
[2,7,5,3,1,6,4] => [1,6,2,7,3,4,5] => [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)
[2,7,5,3,4,1,6] => [1,6,2,7,3,4,5] => [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)
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => [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)
[2,7,5,4,1,6,3] => [1,6,2,7,3,4,5] => [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)
[2,7,5,4,3,1,6] => [1,6,2,7,3,4,5] => [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)
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => [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)
[2,7,6,1,5,3,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,5,4,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => [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)
[2,7,6,3,1,5,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,4,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,5,7,6] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,5,7] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,7,5] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,2,4,7,5,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,7,6,5] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,4,6,7] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[3,1,2,5,4,7,6] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,1,2,5,6,4,7] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,4,6] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,6,4] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,1,2,6,4,7,5] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,6,5,4,7] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,6,5,7,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,4,2,5,6,7] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,7,6] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,2,6,5,7] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,2,6,7,5] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,4,2,7,5,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,2,7,6,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,5,2,6,7] => [1,4,5,2,6,7,3] => [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)
[3,1,4,5,2,7,6] => [1,4,5,2,7,3,6] => [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)
[3,1,4,5,6,2,7] => [1,4,5,6,2,7,3] => [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)
[3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => [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)
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => [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)
[3,1,4,6,2,7,5] => [1,4,6,2,7,3,5] => [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)
[3,1,4,6,5,2,7] => [1,4,6,2,7,3,5] => [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)
[3,1,4,6,5,7,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,2,5] => [1,4,6,7,2,5,3] => [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)
[3,1,4,6,7,5,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => [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)
[3,1,4,7,2,6,5] => [1,4,7,2,6,3,5] => [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)
[3,1,4,7,5,2,6] => [1,4,7,2,6,3,5] => [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)
[3,1,4,7,5,6,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,2,5] => [1,4,7,2,5,3,6] => [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)
[3,1,4,7,6,5,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,6,7] => [1,5,2,4,6,7,3] => [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)
[3,1,5,2,4,7,6] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,7,4] => [1,5,2,6,7,3,4] => [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)
[3,1,5,2,7,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,7,6,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,2,6,7] => [1,5,2,6,7,3,4] => [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)
[3,1,5,4,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,7,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[3,1,5,4,7,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,7,6,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => [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)
[3,1,5,6,2,7,4] => [1,5,6,2,7,3,4] => [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)
[3,1,5,6,4,2,7] => [1,5,6,2,7,3,4] => [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)
[3,1,5,6,4,7,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => [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)
[3,1,5,6,7,4,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,2,4,6] => [1,5,7,2,4,6,3] => [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)
[3,1,5,7,2,6,4] => [1,5,7,2,6,3,4] => [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)
[3,1,5,7,4,2,6] => [1,5,7,2,6,3,4] => [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)
[3,1,5,7,4,6,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,4,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,5,7] => [1,6,2,4,5,7,3] => [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)
[3,1,6,2,4,7,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,5,7,4] => [1,6,2,5,7,3,4] => [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)
[3,1,6,2,7,4,5] => [1,6,2,7,3,4,5] => [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)
[3,1,6,2,7,5,4] => [1,6,2,7,3,4,5] => [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)
[3,1,6,4,2,5,7] => [1,6,2,5,7,3,4] => [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)
[3,1,6,4,2,7,5] => [1,6,2,7,3,4,5] => [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)
[3,1,6,4,5,2,7] => [1,6,2,7,3,4,5] => [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)
[3,1,6,4,5,7,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,4,7,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,7,5,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,5,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,2,7,4] => [1,6,2,7,3,4,5] => [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)
[3,1,6,5,4,2,7] => [1,6,2,7,3,4,5] => [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)
[3,1,6,5,4,7,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,7,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => [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)
[3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => [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)
[3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => [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)
[3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => [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)
[3,1,7,2,4,6,5] => [1,7,2,4,6,3,5] => [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)
[3,1,7,2,5,4,6] => [1,7,2,5,3,4,6] => [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)
[3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => [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)
[3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => [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)
[3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => [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)
[3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => [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)
[3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => [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)
[3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => [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)
[3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,4,6,2,5] => [1,7,2,5,3,4,6] => [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)
[3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,4,6] => [1,7,2,4,6,3,5] => [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)
[3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => [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)
[3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => [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)
[3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,2,4,5] => [1,7,2,4,5,3,6] => [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)
[3,1,7,6,2,5,4] => [1,7,2,5,3,4,6] => [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)
[3,1,7,6,4,2,5] => [1,7,2,5,3,4,6] => [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)
[3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,5,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,5,7] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,7,5] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,1,4,7,5,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,6,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,6,7] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[3,2,1,5,4,7,6] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,2,1,5,6,4,7] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,7,4] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,4,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,6,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,6,4,7,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,1,6,5,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,1,6,5,7,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => [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)
[3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,5,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,6,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => [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)
[3,2,4,5,1,7,6] => [1,7,2,4,5,3,6] => [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)
[3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => [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)
[3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,1,6] => [1,6,2,4,5,7,3] => [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)
[3,2,4,5,7,6,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,5,7] => [1,5,7,2,4,6,3] => [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)
[3,2,4,6,1,7,5] => [1,7,2,4,6,3,5] => [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)
[3,2,4,6,5,1,7] => [1,7,2,4,6,3,5] => [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)
[3,2,4,6,5,7,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,1,5] => [1,5,2,4,6,7,3] => [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)
[3,2,4,6,7,5,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => [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)
[3,2,4,7,1,6,5] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,6,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,6,5,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,6,7] => [1,4,6,7,2,5,3] => [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)
[3,2,5,1,4,7,6] => [1,4,7,2,5,3,6] => [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)
[3,2,5,1,6,4,7] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => [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)
[3,2,5,1,7,4,6] => [1,7,2,5,3,4,6] => [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)
[3,2,5,1,7,6,4] => [1,7,2,5,3,4,6] => [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)
[3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => [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)
[3,2,5,4,1,7,6] => [1,7,2,5,3,4,6] => [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)
[3,2,5,4,6,1,7] => [1,7,2,5,3,4,6] => [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)
[3,2,5,4,6,7,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[3,2,5,4,7,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,7,6,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => [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)
[3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => [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)
[3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => [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)
[3,2,5,6,4,7,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,1,4] => [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => [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)
[3,2,5,7,1,6,4] => [1,6,2,5,7,3,4] => [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)
[3,2,5,7,4,1,6] => [1,6,2,5,7,3,4] => [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)
[3,2,5,7,4,6,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,4,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => [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)
[3,2,6,1,4,7,5] => [1,4,7,2,6,3,5] => [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)
[3,2,6,1,5,4,7] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,5,7,4] => [1,5,7,2,6,3,4] => [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)
[3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => [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)
[3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => [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)
[3,2,6,4,1,5,7] => [1,5,7,2,6,3,4] => [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)
[3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => [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)
[3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => [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)
[3,2,6,4,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,2,6,4,7,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,7,5,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,1,4,7] => [1,4,7,2,6,3,5] => [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)
[3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => [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)
[3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => [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)
[3,2,6,5,4,7,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,7,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,7,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,2,6,7,1,4,5] => [1,4,5,2,6,7,3] => [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)
[3,2,6,7,1,5,4] => [1,5,2,6,7,3,4] => [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)
[3,2,6,7,4,1,5] => [1,5,2,6,7,3,4] => [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)
[3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,5,6] => [1,4,5,6,2,7,3] => [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)
[3,2,7,1,4,6,5] => [1,4,6,2,7,3,5] => [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)
[3,2,7,1,5,4,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,5,6,4] => [1,5,6,2,7,3,4] => [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)
[3,2,7,1,6,4,5] => [1,6,2,7,3,4,5] => [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)
[3,2,7,1,6,5,4] => [1,6,2,7,3,4,5] => [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)
[3,2,7,4,1,5,6] => [1,5,6,2,7,3,4] => [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)
[3,2,7,4,1,6,5] => [1,6,2,7,3,4,5] => [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)
[3,2,7,4,5,1,6] => [1,6,2,7,3,4,5] => [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)
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,4,6,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,1,4,6] => [1,4,6,2,7,3,5] => [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)
[3,2,7,5,1,6,4] => [1,6,2,7,3,4,5] => [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)
[3,2,7,5,4,1,6] => [1,6,2,7,3,4,5] => [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)
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,6,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,6,1,4,5] => [1,4,5,2,7,3,6] => [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)
[3,2,7,6,1,5,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,6,5,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,5,7,6] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,6,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,5,2,6,7] => [1,5,2,6,7,3,4] => [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)
[3,4,1,5,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,2,7] => [1,5,6,2,7,3,4] => [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)
[3,4,1,5,6,7,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,5,7,2,6] => [1,5,7,2,6,3,4] => [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)
[3,4,1,5,7,6,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,2,5,7] => [1,6,2,5,7,3,4] => [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)
[3,4,1,6,2,7,5] => [1,6,2,7,3,4,5] => [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)
[3,4,1,6,5,2,7] => [1,6,2,7,3,4,5] => [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)
[3,4,1,6,5,7,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => [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)
[3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => [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)
[3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => [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)
[3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => [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)
[3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,7,6,2,5] => [1,7,2,5,3,4,6] => [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)
[3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,5,6,7] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => [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)
[3,4,2,5,1,7,6] => [1,7,2,5,3,4,6] => [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)
[3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => [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)
[3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,7,1,6] => [1,6,2,5,7,3,4] => [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)
[3,4,2,5,7,6,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,5,7] => [1,5,7,2,6,3,4] => [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)
[3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => [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)
[3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => [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)
[3,4,2,6,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,2,6,7,1,5] => [1,5,2,6,7,3,4] => [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)
[3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,1,5,6] => [1,5,6,2,7,3,4] => [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)
[3,4,2,7,1,6,5] => [1,6,2,7,3,4,5] => [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)
[3,4,2,7,5,1,6] => [1,6,2,7,3,4,5] => [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)
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,7,6,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,1,6,2,7] => [1,6,2,7,3,4,5] => [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)
[3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => [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)
[3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => [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)
[3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,7,1,6] => [1,6,2,7,3,4,5] => [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)
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[3,4,5,7,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,5,7,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[3,4,6,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,7,2,5] => [1,7,2,5,3,4,6] => [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)
[3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,1,7] => [1,7,2,5,3,4,6] => [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)
[3,4,6,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[3,4,6,5,7,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[3,4,6,7,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[3,4,6,7,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,6,7,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,6,7,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,6,5] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,5,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,1,6,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,2,6,5,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,1,6,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,2,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,2,6,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[3,4,7,6,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,4,7,6,1,5,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,4,7,6,2,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,4,7,6,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[3,5,1,2,4,6,7] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,2,4,7,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,2,6,7] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,1,4,2,7,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,4,6,2,7] => [1,4,6,2,7,3,5] => [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)
[3,5,1,4,6,7,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,4,7,2,6] => [1,4,7,2,6,3,5] => [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)
[3,5,1,4,7,6,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,2,7,4] => [1,6,2,7,3,5,4] => [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)
[3,5,1,6,4,2,7] => [1,6,2,7,3,5,4] => [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)
[3,5,1,6,4,7,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,2,4,6] => [1,7,2,4,6,3,5] => [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)
[3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => [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)
[3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => [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)
[3,5,1,7,4,6,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,4,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,6,7] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,1,4,7,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,4,7] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,4,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,6,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,7,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,1,7] => [1,7,2,4,6,3,5] => [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)
[3,5,2,4,6,7,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,4,7,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,7,6,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,4,7] => [1,4,7,2,6,3,5] => [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)
[3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => [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)
[3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => [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)
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,7,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,1,4,6] => [1,4,6,2,7,3,5] => [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)
[3,5,2,7,1,6,4] => [1,6,2,7,3,5,4] => [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)
[3,5,2,7,4,1,6] => [1,6,2,7,3,5,4] => [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)
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,6,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,6,2,7] => [1,6,2,7,3,5,4] => [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)
[3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => [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)
[3,5,4,1,7,6,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,7,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => [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)
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,1,6] => [1,6,2,7,3,5,4] => [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)
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,7,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,6,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,6,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[3,5,4,7,6,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[3,5,6,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,4,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,1,4,7,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,7,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => [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)
[3,5,6,2,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => [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)
[3,5,6,2,4,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => [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)
[3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => [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)
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[3,5,6,7,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[3,5,6,7,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[3,5,6,7,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,4,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,1,4,6,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,6,4,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,2,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,1,6,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,1,6] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,6,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[3,5,7,6,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[3,5,7,6,4,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,4,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,5,7] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,5,4,7] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => [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)
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,5,7] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,7,5] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,5,2,7] => [1,4,5,2,7,3,6] => [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)
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,7,2,5] => [1,4,7,2,5,3,6] => [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)
[3,6,1,4,7,5,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,2,4,7] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,2,7,4] => [1,5,2,7,3,6,4] => [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)
[3,6,1,5,4,2,7] => [1,5,2,7,3,6,4] => [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)
[3,6,1,5,4,7,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,4,2] => [1,5,7,2,3,6,4] => [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)
[3,6,1,7,2,4,5] => [1,7,2,4,5,3,6] => [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)
[3,6,1,7,2,5,4] => [1,7,2,5,3,6,4] => [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)
[3,6,1,7,4,2,5] => [1,7,2,5,3,6,4] => [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)
[3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => [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)
[3,6,1,7,5,2,4] => [1,7,2,4,3,6,5] => [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)
[3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => [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)
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,7,5] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,4,7] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,1,5,7,4] => [1,5,7,2,3,6,4] => [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)
[3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => [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)
[3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => [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)
[3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,7,5] => [1,7,2,4,3,6,5] => [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)
[3,6,2,4,5,1,7] => [1,7,2,4,5,3,6] => [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)
[3,6,2,4,5,7,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,4,7] => [1,4,7,2,5,3,6] => [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)
[3,6,2,5,1,7,4] => [1,7,2,5,3,6,4] => [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)
[3,6,2,5,4,1,7] => [1,7,2,5,3,6,4] => [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)
[3,6,2,5,4,7,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,7,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => [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)
[3,6,2,7,1,4,5] => [1,4,5,2,7,3,6] => [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)
[3,6,2,7,1,5,4] => [1,5,2,7,3,6,4] => [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)
[3,6,2,7,4,1,5] => [1,5,2,7,3,6,4] => [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)
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => [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)
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,2,7] => [1,5,2,7,3,6,4] => [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)
[3,6,4,1,5,7,2] => [1,5,7,2,3,6,4] => [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)
[3,6,4,1,7,2,5] => [1,7,2,5,3,6,4] => [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)
[3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => [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)
[3,6,4,2,1,5,7] => [1,5,7,2,3,6,4] => [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)
[3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => [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)
[3,6,4,2,5,1,7] => [1,7,2,5,3,6,4] => [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)
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => [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)
[3,6,4,2,7,1,5] => [1,5,2,7,3,6,4] => [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)
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => [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)
[3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => [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)
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[3,6,4,5,7,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[3,6,4,7,1,2,5] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,1,5,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,7,2,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,7,2,5,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,2,7] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,7,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,7,2,4] => [1,7,2,4,3,6,5] => [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)
[3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => [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)
[3,6,5,2,1,4,7] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => [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)
[3,6,5,2,4,1,7] => [1,7,2,4,3,6,5] => [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)
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => [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)
[3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => [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)
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,7,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[3,6,5,7,1,4,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[3,6,5,7,2,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[3,6,5,7,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[3,6,5,7,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[3,6,5,7,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[3,6,7,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[3,6,7,1,2,5,4] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,1,4,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,5,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,4,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,1,5,4] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,4,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,5,4,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,5,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,2,1,5] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,2,5,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,2,4] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,4,2] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,6,7,5,2,1,4] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,6,7,5,2,4,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,5,6] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,6,5] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,2,5,4,6] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,1,2,5,6,4] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,2,6,4,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,6,5,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,6,5] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,1,4,5,2,6] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,4,5,6,2] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => [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)
[3,7,1,4,6,5,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,4,6] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,2,6,4] => [1,5,2,6,3,7,4] => [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)
[3,7,1,5,4,2,6] => [1,5,2,6,3,7,4] => [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)
[3,7,1,5,4,6,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,4,2] => [1,5,6,2,3,7,4] => [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)
[3,7,1,6,2,4,5] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,5,4] => [1,6,2,5,3,7,4] => [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)
[3,7,1,6,4,2,5] => [1,6,2,5,3,7,4] => [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)
[3,7,1,6,4,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,5,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,6,5] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,4,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,5,6,4] => [1,5,6,2,3,7,4] => [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)
[3,7,2,1,6,4,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,6,5,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,6,5] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,1,6] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,6,1] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,1,5] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,6,5,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => [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)
[3,7,2,5,1,6,4] => [1,6,2,5,3,7,4] => [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)
[3,7,2,5,4,1,6] => [1,6,2,5,3,7,4] => [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)
[3,7,2,5,4,6,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,4,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,2,6,1,4,5] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,2,6,1,5,4] => [1,5,2,6,3,7,4] => [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)
[3,7,2,6,4,1,5] => [1,5,2,6,3,7,4] => [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)
[3,7,2,6,4,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,5,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,2,6,5,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,2,5,6] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,1,2,6,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,5,2,6] => [1,5,2,6,3,7,4] => [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)
[3,7,4,1,5,6,2] => [1,5,6,2,3,7,4] => [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)
[3,7,4,1,6,2,5] => [1,6,2,5,3,7,4] => [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)
[3,7,4,1,6,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,2,1,5,6] => [1,5,6,2,3,7,4] => [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)
[3,7,4,2,1,6,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,2,5,1,6] => [1,6,2,5,3,7,4] => [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)
[3,7,4,2,5,6,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,2,6,1,5] => [1,5,2,6,3,7,4] => [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)
[3,7,4,2,6,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,4,6,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,6,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,4,6] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,6,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,4,2,6] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,1,4,6,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,2,1,4,6] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,2,4,1,6] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,2,6,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[3,7,5,6,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,5,6,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,5,6,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,6,1,2,4,5] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,5,4] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,1,4,2,5] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,2,4] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,4,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,4,1,5] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,5,1] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,5,4,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,6,5,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[3,7,6,5,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,6,5,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,6,5,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,5,7,6] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,6,5,7] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,5,3,6,7] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,2,5,3,7,6] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,2,5,6,3,7] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => [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)
[4,1,2,5,7,6,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,3,7,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,7,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,3,2,5,6,7] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,5,7] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,3,5,2,6,7] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,3,5,2,7,6] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,6,2,7] => [1,3,5,6,2,7,4] => [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)
[4,1,3,5,6,7,2] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => [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)
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => [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)
[4,1,3,6,2,7,5] => [1,3,6,2,7,4,5] => [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)
[4,1,3,6,5,2,7] => [1,3,6,2,7,4,5] => [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)
[4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => [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)
[4,1,3,6,7,5,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => [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)
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => [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)
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => [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)
[4,1,3,7,5,6,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,5,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,3,6,7] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,3,7,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,6,3,7] => [1,5,2,6,3,7,4] => [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)
[4,1,5,2,6,7,3] => [1,5,2,6,7,3,4] => [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)
[4,1,5,2,7,3,6] => [1,5,2,7,3,6,4] => [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)
[4,1,5,2,7,6,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,2,6,7] => [1,5,2,6,7,3,4] => [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)
[4,1,5,3,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,6,2,7] => [1,5,2,7,3,6,4] => [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)
[4,1,5,3,6,7,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,7,2,6] => [1,5,2,6,3,7,4] => [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)
[4,1,5,3,7,6,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,2,3,7] => [1,5,6,2,3,7,4] => [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)
[4,1,5,6,2,7,3] => [1,5,6,2,7,3,4] => [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)
[4,1,5,6,3,2,7] => [1,5,6,2,7,3,4] => [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)
[4,1,5,6,3,7,2] => [1,5,6,2,3,7,4] => [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)
[4,1,5,6,7,2,3] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,3,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,3,6] => [1,5,7,2,3,6,4] => [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)
[4,1,5,7,2,6,3] => [1,5,7,2,6,3,4] => [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)
[4,1,5,7,3,2,6] => [1,5,7,2,6,3,4] => [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)
[4,1,5,7,3,6,2] => [1,5,7,2,3,6,4] => [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)
[4,1,5,7,6,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,3,5,7] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,3,7,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,5,3,7] => [1,6,2,5,3,7,4] => [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)
[4,1,6,2,5,7,3] => [1,6,2,5,7,3,4] => [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)
[4,1,6,2,7,3,5] => [1,6,2,7,3,5,4] => [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)
[4,1,6,2,7,5,3] => [1,6,2,7,3,4,5] => [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)
[4,1,6,3,2,5,7] => [1,6,2,5,7,3,4] => [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)
[4,1,6,3,2,7,5] => [1,6,2,7,3,4,5] => [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)
[4,1,6,3,5,2,7] => [1,6,2,7,3,5,4] => [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)
[4,1,6,3,5,7,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,7,2,5] => [1,6,2,5,3,7,4] => [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)
[4,1,6,3,7,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,7,3] => [1,6,2,7,3,4,5] => [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)
[4,1,6,5,3,2,7] => [1,6,2,7,3,4,5] => [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)
[4,1,6,5,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,5,7,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => [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)
[4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => [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)
[4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => [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)
[4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => [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)
[4,1,7,2,5,3,6] => [1,7,2,5,3,6,4] => [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)
[4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => [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)
[4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => [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)
[4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => [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)
[4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => [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)
[4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => [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)
[4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => [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)
[4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => [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)
[4,1,7,3,6,2,5] => [1,7,2,5,3,6,4] => [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)
[4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => [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)
[4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => [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)
[4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => [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)
[4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => [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)
[4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => [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)
[4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,6,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,2,5,3] => [1,7,2,5,3,4,6] => [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)
[4,1,7,6,3,2,5] => [1,7,2,5,3,4,6] => [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)
[4,1,7,6,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,3,5,6,7] => [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,7,5] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,3,7,5,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,6,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,3,6,7] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,3,7,6] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,6,3,7] => [1,5,6,2,3,7,4] => [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)
[4,2,1,5,6,7,3] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,7,3,6] => [1,5,7,2,3,6,4] => [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)
[4,2,1,5,7,6,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,3,5,7] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,3,7,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,7,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => [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)
[4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => [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)
[4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => [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)
[4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,7,6,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,5,6,7] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,7,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => [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)
[4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,1,6] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,5,7,6,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,5,7] => [1,5,7,2,3,6,4] => [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)
[4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => [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)
[4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => [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)
[4,2,3,6,5,7,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,2,3,6,7,1,5] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,5,6] => [1,5,6,2,3,7,4] => [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)
[4,2,3,7,1,6,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,5,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,2,3,7,6,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => [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)
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,3,7] => [1,6,2,5,3,7,4] => [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)
[4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => [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)
[4,2,5,1,7,3,6] => [1,7,2,5,3,6,4] => [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)
[4,2,5,1,7,6,3] => [1,7,2,5,3,4,6] => [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)
[4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => [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)
[4,2,5,3,1,7,6] => [1,7,2,5,3,4,6] => [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)
[4,2,5,3,6,1,7] => [1,7,2,5,3,6,4] => [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)
[4,2,5,3,6,7,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,1,6] => [1,6,2,5,3,7,4] => [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)
[4,2,5,3,7,6,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => [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)
[4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => [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)
[4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => [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)
[4,2,5,6,3,7,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,7,1,3] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => [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)
[4,2,5,7,1,6,3] => [1,6,2,5,7,3,4] => [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)
[4,2,5,7,3,1,6] => [1,6,2,5,7,3,4] => [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)
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => [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)
[4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => [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)
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => [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)
[4,2,6,1,5,3,7] => [1,5,2,6,3,7,4] => [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)
[4,2,6,1,5,7,3] => [1,5,7,2,6,3,4] => [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)
[4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => [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)
[4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => [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)
[4,2,6,3,1,5,7] => [1,5,7,2,6,3,4] => [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)
[4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => [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)
[4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => [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)
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,3,7,1,5] => [1,5,2,6,3,7,4] => [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)
[4,2,6,3,7,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => [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)
[4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => [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)
[4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => [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)
[4,2,6,5,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,7,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,2,6,5,7,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,2,6,7,1,3,5] => [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,7,1,5,3] => [1,5,2,6,7,3,4] => [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)
[4,2,6,7,3,1,5] => [1,5,2,6,7,3,4] => [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)
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,5,6] => [1,3,5,6,2,7,4] => [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)
[4,2,7,1,3,6,5] => [1,3,6,2,7,4,5] => [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)
[4,2,7,1,5,3,6] => [1,5,2,7,3,6,4] => [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)
[4,2,7,1,5,6,3] => [1,5,6,2,7,3,4] => [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)
[4,2,7,1,6,3,5] => [1,6,2,7,3,5,4] => [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)
[4,2,7,1,6,5,3] => [1,6,2,7,3,4,5] => [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)
[4,2,7,3,1,5,6] => [1,5,6,2,7,3,4] => [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)
[4,2,7,3,1,6,5] => [1,6,2,7,3,4,5] => [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)
[4,2,7,3,5,1,6] => [1,6,2,7,3,5,4] => [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)
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,1,5] => [1,5,2,7,3,6,4] => [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)
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,1,3,6] => [1,3,6,2,7,4,5] => [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)
[4,2,7,5,1,6,3] => [1,6,2,7,3,4,5] => [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)
[4,2,7,5,3,1,6] => [1,6,2,7,3,4,5] => [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)
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,7,6,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,7,6] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,5,7] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,5,2,6,7] => [1,5,2,6,7,3,4] => [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)
[4,3,1,5,2,7,6] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,6,2,7] => [1,5,6,2,7,3,4] => [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)
[4,3,1,5,6,7,2] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,2,6] => [1,5,7,2,6,3,4] => [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)
[4,3,1,5,7,6,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,5,7] => [1,6,2,5,7,3,4] => [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)
[4,3,1,6,2,7,5] => [1,6,2,7,3,4,5] => [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)
[4,3,1,6,5,2,7] => [1,6,2,7,3,4,5] => [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)
[4,3,1,6,5,7,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => [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)
[4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => [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)
[4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => [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)
[4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => [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)
[4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,7,6,2,5] => [1,7,2,5,3,4,6] => [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)
[4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,5,6,7] => [1,5,6,7,2,3,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,7,6] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,5,7] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => [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)
[4,3,2,5,1,7,6] => [1,7,2,5,3,4,6] => [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)
[4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => [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)
[4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,1,6] => [1,6,2,5,7,3,4] => [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)
[4,3,2,5,7,6,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,5,7] => [1,5,7,2,6,3,4] => [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)
[4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => [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)
[4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => [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)
[4,3,2,6,5,7,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,3,2,6,7,1,5] => [1,5,2,6,7,3,4] => [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)
[4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,5,6] => [1,5,6,2,7,3,4] => [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)
[4,3,2,7,1,6,5] => [1,6,2,7,3,4,5] => [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)
[4,3,2,7,5,1,6] => [1,6,2,7,3,4,5] => [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)
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,7,6,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,6,2,7] => [1,6,2,7,3,5,4] => [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)
[4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => [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)
[4,3,5,1,7,6,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,7,6] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => [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)
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,1,6] => [1,6,2,7,3,5,4] => [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)
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => [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)
[4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => [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)
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,1,6,2] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,1,6] => [1,6,2,3,5,7,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,6,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => [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)
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,5,2,7] => [1,5,2,7,3,6,4] => [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)
[4,3,6,1,5,7,2] => [1,5,7,2,3,6,4] => [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)
[4,3,6,1,7,2,5] => [1,7,2,5,3,6,4] => [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)
[4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => [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)
[4,3,6,2,1,5,7] => [1,5,7,2,3,6,4] => [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)
[4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => [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)
[4,3,6,2,5,1,7] => [1,7,2,5,3,6,4] => [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)
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => [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)
[4,3,6,2,7,1,5] => [1,5,2,7,3,6,4] => [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)
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => [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)
[4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => [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)
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,3,6,5,7,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,3,6,7,1,2,5] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,7,1,5,2] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,1,5] => [1,5,2,3,6,7,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,5,1] => [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,5,6] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,1,2,6,5] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,1,5,2,6] => [1,5,2,6,3,7,4] => [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)
[4,3,7,1,5,6,2] => [1,5,6,2,3,7,4] => [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)
[4,3,7,1,6,2,5] => [1,6,2,5,3,7,4] => [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)
[4,3,7,1,6,5,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,1,5,6] => [1,5,6,2,3,7,4] => [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)
[4,3,7,2,1,6,5] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,5,1,6] => [1,6,2,5,3,7,4] => [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)
[4,3,7,2,5,6,1] => [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,2,6,1,5] => [1,5,2,6,3,7,4] => [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)
[4,3,7,2,6,5,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,3,7,6,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,1,2,6,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,1,3,6,2,7] => [1,3,6,2,7,4,5] => [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)
[4,5,1,3,6,7,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => [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)
[4,5,1,3,7,6,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,7,3] => [1,6,2,7,3,4,5] => [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)
[4,5,1,6,3,2,7] => [1,6,2,7,3,4,5] => [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)
[4,5,1,6,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => [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)
[4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => [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)
[4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => [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)
[4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => [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)
[4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,2,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,6,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => [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)
[4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => [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)
[4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,7,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => [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)
[4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => [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)
[4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => [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)
[4,5,2,6,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,1,3,6] => [1,3,6,2,7,4,5] => [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)
[4,5,2,7,1,6,3] => [1,6,2,7,3,4,5] => [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)
[4,5,2,7,3,1,6] => [1,6,2,7,3,4,5] => [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)
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,1,6,2,7] => [1,6,2,7,3,4,5] => [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)
[4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => [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)
[4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => [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)
[4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,1,6] => [1,6,2,7,3,4,5] => [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)
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => [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)
[4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => [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)
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[4,5,6,7,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[4,5,6,7,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[4,5,7,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,5,7,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,5,7,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,5,7,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,5,7,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,5,7,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,5,7,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[4,5,7,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,5,7,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[4,5,7,6,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[4,5,7,6,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[4,6,1,2,3,5,7] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,5,3,7] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,1,2,5,7,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,5,2,7] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,2,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,7,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,7,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,7,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,5,3] => [1,7,2,5,3,4,6] => [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)
[4,6,1,7,3,2,5] => [1,7,2,5,3,4,6] => [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)
[4,6,1,7,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,5,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,5,7,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,7,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,7,3] => [1,7,2,5,3,4,6] => [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)
[4,6,2,5,3,1,7] => [1,7,2,5,3,4,6] => [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)
[4,6,2,5,3,7,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,7,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,2,5] => [1,7,2,5,3,4,6] => [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)
[4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,1,7] => [1,7,2,5,3,4,6] => [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)
[4,6,3,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,7,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[4,6,5,7,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[4,6,5,7,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[4,6,5,7,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[4,6,7,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[4,6,7,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[4,6,7,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[4,6,7,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[4,6,7,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[4,6,7,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,3,2] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,5,6] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,6,5] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,3,6] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,6,3] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,5,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,3,2,5,6] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,5,2,6] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,6,2] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,5,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,1,5,2,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,5,2,6,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,6,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,5,6,2,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,3,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,5,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,5,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,5,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,6,5,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,1,3,5,6] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,1,3,6,5] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,2,1,5,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,1,5,6,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,5,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,6,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,5,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,6,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,6,5,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,6,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,6,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,6,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,3,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,3,5] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,5,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,3,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,5,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,6,5] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,5,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,6,5] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,6,5,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,6,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,1,5,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,2,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,2,5,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,2,3,6] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,2,6,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,3,6,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,1,6,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,1,6,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,1,3,6] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,2,1,6,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,3,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,3,6,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,2,6,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,1,2,6] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,1,6,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,2,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,2,6,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,6,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,3,6,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,5,6,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,5,6,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,6,1,2,3,5] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[4,7,6,1,2,5,3] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[4,7,6,1,3,5,2] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,2,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,1,5,3,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,1,3,5] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,5,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,3,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,3,5,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[4,7,6,2,5,3,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,3,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,3,1,5,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,3,2,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,3,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,3,5,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[4,7,6,3,5,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,6,5,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,5,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,1,2,3,6,4,7] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,1,2,4,3,6,7] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,1,2,4,3,7,6] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,1,2,4,6,3,7] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,7,3] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,6,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,3,4,7] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,3,7,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,7,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,2,4,6,7] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,7,6] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,1,3,4,2,6,7] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,1,3,4,2,7,6] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,3,4,6,2,7] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,7,2] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => [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)
[5,1,3,4,7,6,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,4,7] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,6,2,7,4] => [1,3,6,2,7,4,5] => [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)
[5,1,3,6,4,2,7] => [1,3,6,2,7,4,5] => [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)
[5,1,3,6,4,7,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,6,7,2,4] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,6,7,4,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => [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)
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => [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)
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,6,7] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,4,2,3,7,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,4,2,6,3,7] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,4,2,6,7,3] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,4,2,7,3,6] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,6,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,4,3,2,6,7] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,4,3,2,7,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,4,3,6,2,7] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,7,2] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,4,3,7,2,6] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,4,3,7,6,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,4,6,2,3,7] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,6,2,7,3] => [1,4,6,2,7,3,5] => [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)
[5,1,4,6,3,2,7] => [1,4,6,2,7,3,5] => [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)
[5,1,4,6,3,7,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,2,3] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,6,7,3,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,7,2,3,6] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,2,6,3] => [1,4,7,2,6,3,5] => [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)
[5,1,4,7,3,2,6] => [1,4,7,2,6,3,5] => [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)
[5,1,4,7,3,6,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,3,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,2,3,7,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,3,7] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,4,7,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,3,4] => [1,6,2,7,3,4,5] => [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)
[5,1,6,2,7,4,3] => [1,6,2,7,3,4,5] => [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)
[5,1,6,3,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,7,4] => [1,6,2,7,3,4,5] => [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)
[5,1,6,3,4,2,7] => [1,6,2,7,3,4,5] => [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)
[5,1,6,3,4,7,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,3,7,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,7,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,7,3] => [1,6,2,7,3,4,5] => [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)
[5,1,6,4,3,2,7] => [1,6,2,7,3,4,5] => [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)
[5,1,6,4,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,7,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,4,7,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => [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)
[5,1,7,2,4,3,6] => [1,7,2,4,3,6,5] => [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)
[5,1,7,2,4,6,3] => [1,7,2,4,6,3,5] => [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)
[5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => [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)
[5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => [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)
[5,1,7,3,2,4,6] => [1,7,2,4,6,3,5] => [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)
[5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => [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)
[5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => [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)
[5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,6,2,4] => [1,7,2,4,3,6,5] => [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)
[5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => [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)
[5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => [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)
[5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => [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)
[5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => [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)
[5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => [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)
[5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,3,4,6,7] => [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,7,6] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,6,4,7] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,3,6,7,4] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,7,6,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,3,6,7] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,1,4,3,7,6] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,1,4,6,3,7] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,4,6,7,3] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,4,7,3,6] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,7,6,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,3,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,6,3,7,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,7,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => [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)
[5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => [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)
[5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,1,4,6,7] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,3,1,4,7,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,6,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,2,3,6,1,4,7] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => [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)
[5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => [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)
[5,2,3,6,4,7,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,6,7,1,4] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,4,6] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,6,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,7,4,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,6,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,2,4,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,3,7] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,7,3,6] => [1,7,2,4,3,6,5] => [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)
[5,2,4,1,7,6,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,7,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,6,1,7] => [1,7,2,4,3,6,5] => [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)
[5,2,4,3,6,7,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,1,6] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,6,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,7,3] => [1,7,2,4,6,3,5] => [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)
[5,2,4,6,3,1,7] => [1,7,2,4,6,3,5] => [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)
[5,2,4,6,3,7,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,3,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,3,6] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,6,3] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,2,4,7,6,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => [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)
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => [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)
[5,2,6,1,4,3,7] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,2,6,1,4,7,3] => [1,4,7,2,6,3,5] => [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)
[5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => [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)
[5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => [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)
[5,2,6,3,1,4,7] => [1,4,7,2,6,3,5] => [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)
[5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => [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)
[5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => [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)
[5,2,6,3,4,7,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,2,6,3,7,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => [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)
[5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => [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)
[5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => [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)
[5,2,6,4,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,7,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,2,6,7,1,4,3] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,4,6] => [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,6,4] => [1,3,6,2,7,4,5] => [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)
[5,2,7,1,4,3,6] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,4,6,3] => [1,4,6,2,7,3,5] => [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)
[5,2,7,1,6,3,4] => [1,6,2,7,3,4,5] => [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)
[5,2,7,1,6,4,3] => [1,6,2,7,3,4,5] => [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)
[5,2,7,3,1,4,6] => [1,4,6,2,7,3,5] => [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)
[5,2,7,3,1,6,4] => [1,6,2,7,3,4,5] => [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)
[5,2,7,3,4,1,6] => [1,6,2,7,3,4,5] => [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)
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,1,3,6] => [1,3,6,2,7,4,5] => [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)
[5,2,7,4,1,6,3] => [1,6,2,7,3,4,5] => [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)
[5,2,7,4,3,1,6] => [1,6,2,7,3,4,5] => [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)
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,7,6,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,2,4,6,7] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,1,2,4,7,6] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,6,7] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,7,6] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,6,2,7] => [1,4,6,2,7,3,5] => [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)
[5,3,1,4,6,7,2] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,1,4,7,2,6] => [1,4,7,2,6,3,5] => [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)
[5,3,1,4,7,6,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,2,4,7] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,6,2,7,4] => [1,6,2,7,3,4,5] => [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)
[5,3,1,6,4,2,7] => [1,6,2,7,3,4,5] => [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)
[5,3,1,6,4,7,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,2,4,6] => [1,7,2,4,6,3,5] => [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)
[5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => [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)
[5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => [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)
[5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,1,4,6,7] => [1,4,6,7,2,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,1,4,7,6] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,4,7] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,1,7,6] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,1,7] => [1,7,2,4,6,3,5] => [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)
[5,3,2,4,6,7,1] => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,4,7,1,6] => [1,6,2,4,7,3,5] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,4,7,6,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,4,7] => [1,4,7,2,6,3,5] => [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)
[5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => [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)
[5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => [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)
[5,3,2,6,4,7,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,6,7,1,4] => [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,1,4,6] => [1,4,6,2,7,3,5] => [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)
[5,3,2,7,1,6,4] => [1,6,2,7,3,4,5] => [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)
[5,3,2,7,4,1,6] => [1,6,2,7,3,4,5] => [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)
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,1,6,2,7] => [1,6,2,7,3,4,5] => [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)
[5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => [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)
[5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => [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)
[5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,1,6] => [1,6,2,7,3,4,5] => [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)
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,1,6,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,2,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,2,6,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,2,7] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,7,2] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,7,2,4] => [1,7,2,4,3,6,5] => [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)
[5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => [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)
[5,3,6,2,1,4,7] => [1,4,7,2,3,6,5] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => [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)
[5,3,6,2,4,1,7] => [1,7,2,4,3,6,5] => [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)
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4] => [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => [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)
[5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => [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)
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,7,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,1,2,4] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,3,6,7,1,4,2] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,3,6,7,2,1,4] => [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,3,6,7,2,4,1] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,4,6] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,6,4] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,4,2,6] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,1,4,6,2] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,1,6,2,4] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,6,4,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,1,4,6] => [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,2,1,6,4] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,4,1,6] => [1,6,2,4,3,7,5] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,4,6,1] => [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,2,6,1,4] => [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,2,6,4,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,3,7,6,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,3,7,6,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,3,7,6,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,4,1,2,6,3,7] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,4,1,3,6,2,7] => [1,3,6,2,7,4,5] => [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)
[5,4,1,3,6,7,2] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => [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)
[5,4,1,3,7,6,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,2,7,3] => [1,6,2,7,3,4,5] => [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)
[5,4,1,6,3,2,7] => [1,6,2,7,3,4,5] => [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)
[5,4,1,6,3,7,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => [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)
[5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => [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)
[5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => [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)
[5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => [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)
[5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,1,3,6,7] => [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,2,1,3,7,6] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,3,7] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => [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)
[5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => [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)
[5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => [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)
[5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => [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)
[5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => [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)
[5,4,2,6,3,7,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,3,6] => [1,3,6,2,7,4,5] => [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)
[5,4,2,7,1,6,3] => [1,6,2,7,3,4,5] => [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)
[5,4,2,7,3,1,6] => [1,6,2,7,3,4,5] => [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)
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,1,6,2,7] => [1,6,2,7,3,4,5] => [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)
[5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => [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)
[5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => [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)
[5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,1,6] => [1,6,2,7,3,4,5] => [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)
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => [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)
[5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => [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)
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,2,6] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,1,6,2] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,1,6] => [1,6,2,3,7,4,5] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,6,1] => [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,3,2] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,1,3] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,3,6] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,2,6,3] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,3,6,2] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,1,6,2,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,1,6,3,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,1,3,6] => [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,2,1,6,3] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,3,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,3,6,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,6,3,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,1,2,6] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,1,6,2] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,2,1,6] => [1,6,2,3,4,7,5] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,2,6,1] => [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,2,1] => [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,4,7,6,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,4,7,6,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,1,2,4,3,7] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,1,2,4,7,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,3,2,4,7] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,1,3,4,2,7] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,1,3,4,7,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,3,7] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,4,2,7,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,1,4,3,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,1,4,3,7,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,4,7,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,7,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,7,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,4,3,7] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,1,4,7,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,2,3,7,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,2,4,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,7,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,7,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,2,4,7,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,2,4,7,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,2,7,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,7,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,1,4,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,3,1,4,7,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,7,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,2,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,2,4,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,7,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,3,7,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,3,7,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,3,7,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,3,7,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,4,7,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,4,7,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[5,6,7,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[5,6,7,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[5,6,7,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[5,6,7,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[5,6,7,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[5,6,7,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[5,6,7,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[5,6,7,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[5,6,7,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[5,7,1,2,3,4,6] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,1,2,3,6,4] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,1,2,4,3,6] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[5,7,1,2,4,6,3] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,6,3,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,1,2,6,4,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,1,3,2,6,4] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,1,3,4,2,6] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,1,3,4,6,2] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,2,3,6] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,1,4,2,6,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,1,4,3,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,1,4,3,6,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,1,4,6,2,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,6,3,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,2,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,4,3,6] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,2,1,4,6,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,6,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,1,6,4,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,6,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,4,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,4,6,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,2,3,6,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,2,3,6,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,3,6,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,2,4,6,3,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,3,4] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,4,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,6,3,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,6,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,2,6,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,2,6,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,3,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,6,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,3,1,4,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,3,1,4,6,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,2,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,1,6,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,6,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,3,2,6,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,4,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,4,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,3,4,6,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,3,4,6,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,3,6,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[5,7,3,6,1,4,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,3,6,2,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,3,6,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[5,7,3,6,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,3,6,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,4,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,4,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,4,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,4,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,4,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,4,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,4,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[5,7,4,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,4,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[5,7,4,6,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,4,6,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,4,6,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,4,6,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,1,2,4,3] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,1,3,2,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,2,4,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,2,4,3,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,3,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[5,7,6,3,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,4,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,4,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,1,2,3,5,4,7] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,1,2,3,5,7,4] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,1,2,4,3,5,7] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,1,2,4,3,7,5] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,2,4,5,3,7] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,7,3] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,3,5] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,5,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,4,7] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,2,5,3,7,4] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,5,4,3,7] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,5,4,7,3] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,2,5,7,3,4] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,7,4,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,3,2,4,5,7] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,1,3,2,4,7,5] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,7,5] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,1,3,4,5,2,7] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,7,2] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,2,5] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,5,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,4,7] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,7,4] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,5,4,2,7] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,5,4,7,2] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,7,2,4,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,5,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,4,2,3,7,5] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,1,4,2,5,3,7] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,2,5,7,3] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,3,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,2,7,5,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,2,5,7] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,7,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,5,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,4,3,7,2,5] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,3,7,5,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,7,3] => [1,4,5,2,7,3,6] => [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)
[6,1,4,5,3,2,7] => [1,4,5,2,7,3,6] => [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)
[6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,3,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,5,3] => [1,4,7,2,5,3,6] => [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)
[6,1,4,7,3,2,5] => [1,4,7,2,5,3,6] => [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)
[6,1,4,7,3,5,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,4,7] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,2,3,7,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,4,3,7] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,7,3] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,7,3,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,7,4,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,2,4,7] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,2,7,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,4,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,4,7,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,3,7,2,4] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,4,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,2,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,2,7,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,3,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,3,7,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,7,2,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,4,7,3,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,7,2,3,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,4,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,2,3,5,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,3,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,5,3] => [1,7,2,4,5,3,6] => [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)
[6,1,7,2,5,3,4] => [1,7,2,5,3,4,6] => [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)
[6,1,7,2,5,4,3] => [1,7,2,5,3,4,6] => [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)
[6,1,7,3,2,4,5] => [1,7,2,4,5,3,6] => [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)
[6,1,7,3,2,5,4] => [1,7,2,5,3,4,6] => [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)
[6,1,7,3,4,2,5] => [1,7,2,5,3,4,6] => [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)
[6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,3,5,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,5,4,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,5,3] => [1,7,2,5,3,4,6] => [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)
[6,1,7,4,3,2,5] => [1,7,2,5,3,4,6] => [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)
[6,1,7,4,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,3,4,5,7] => [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,7,5] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,4,7] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,1,3,7,4,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,5,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,1,4,3,7,5] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,3,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,5,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,4,7] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,1,5,3,7,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,7,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,1,5,7,3,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,4,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,3,5,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,7,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,5,4,7] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,3,1,5,7,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,2,3,4,7,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,2,3,5,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,3,5,7,4,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,5,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,2,3,7,5,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,1,3,7,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,3,7] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,3,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,5,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,7,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,2,4,3,7,1,5] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,7,5,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,4,5,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,7,3] => [1,7,2,4,5,3,6] => [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)
[6,2,4,5,3,1,7] => [1,7,2,4,5,3,6] => [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)
[6,2,4,5,3,7,1] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,2,4,5,7,3,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,3,5] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,5,3] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,5,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,4,7,5,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,3,7] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,5,1,4,7,3] => [1,4,7,2,5,3,6] => [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)
[6,2,5,1,7,3,4] => [1,7,2,5,3,4,6] => [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)
[6,2,5,1,7,4,3] => [1,7,2,5,3,4,6] => [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)
[6,2,5,3,1,4,7] => [1,4,7,2,5,3,6] => [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)
[6,2,5,3,1,7,4] => [1,7,2,5,3,4,6] => [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)
[6,2,5,3,4,1,7] => [1,7,2,5,3,4,6] => [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)
[6,2,5,3,4,7,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,5,3,7,1,4] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,5,3,7,4,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,7,3] => [1,7,2,5,3,4,6] => [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)
[6,2,5,4,3,1,7] => [1,7,2,5,3,4,6] => [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)
[6,2,5,4,3,7,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,2,5,4,7,3,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,4,3] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,4,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,4,5] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,5,4] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,3,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,1,4,5,3] => [1,4,5,2,7,3,6] => [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)
[6,2,7,1,5,3,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,5,4,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,1,4,5] => [1,4,5,2,7,3,6] => [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)
[6,2,7,3,1,5,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,4,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,3,5,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,5,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,2,7,5,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,5,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,2,4,5,7] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,7,5] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,4,7] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,1,2,5,7,4] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,4,2,5,7] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,7,5] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,4,5,2,7] => [1,4,5,2,7,3,6] => [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)
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,2,5] => [1,4,7,2,5,3,6] => [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)
[6,3,1,4,7,5,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,2,4,7] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,7,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,7,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,7,4,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,2,4,5] => [1,7,2,4,5,3,6] => [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)
[6,3,1,7,2,5,4] => [1,7,2,5,3,4,6] => [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)
[6,3,1,7,4,2,5] => [1,7,2,5,3,4,6] => [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)
[6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,7,5,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,7,5] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,4,7] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,7,4] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,7,5] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,1,7] => [1,7,2,4,5,3,6] => [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)
[6,3,2,4,5,7,1] => [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5] => [1,5,2,4,7,3,6] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,4,7,5,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,4,7] => [1,4,7,2,5,3,6] => [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)
[6,3,2,5,1,7,4] => [1,7,2,5,3,4,6] => [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)
[6,3,2,5,4,1,7] => [1,7,2,5,3,4,6] => [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)
[6,3,2,5,4,7,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,2,5,7,1,4] => [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,5,7,4,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5] => [1,4,5,2,7,3,6] => [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)
[6,3,2,7,1,5,4] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,4,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,7,5,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,7,2,5] => [1,7,2,5,3,4,6] => [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)
[6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,1,7] => [1,7,2,5,3,4,6] => [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)
[6,3,4,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,3,4,7,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,4,7,1,5,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,3,5,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,1,4,7,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,4,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,7,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,3,5,4,7,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,3,5,7,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,5,7,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,3,5,7,4,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,4,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,4,5] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,5,4] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,1,4,2,5] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,5,2,4] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,5,4,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,1,5,4] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,4,1,5] => [1,5,2,4,3,7,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,4,5,1] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,3,7,2,5,1,4] => [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,5,4,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,3,7,5,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,7,5,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,3,7,5,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,3,7,5,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,1,2,3,5,7] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,1,2,5,3,7] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,1,3,5,2,7] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,5,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,2,7,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,3,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,3,7,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,7,2,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,3,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,5,3] => [1,7,2,5,3,4,6] => [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)
[6,4,1,7,3,2,5] => [1,7,2,5,3,4,6] => [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)
[6,4,1,7,3,5,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,2,1,3,7,5] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,5,7,3] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,3,5] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,3,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,3,5,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,7,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3] => [1,7,2,5,3,4,6] => [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)
[6,4,2,5,3,1,7] => [1,7,2,5,3,4,6] => [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)
[6,4,2,5,3,7,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,7,3,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,1,3,5] => [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,1,5,3] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,3,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,1,2,5,7] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,1,5,2,7] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,5,7,2] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,2,5] => [1,7,2,5,3,4,6] => [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)
[6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,2,1,5,7] => [1,5,7,2,3,4,6] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,2,5,1,7] => [1,7,2,5,3,4,6] => [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)
[6,4,3,2,5,7,1] => [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,1,5] => [1,5,2,7,3,4,6] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,7,2] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,1,7] => [1,7,2,3,5,4,6] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,1,2] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,2,1] => [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,7,1,5,2] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,1,5] => [1,5,2,3,7,4,6] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,5,1] => [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,4,5,7,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,4,5,7,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,4,7,1,2,3,5] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,4,7,1,2,5,3] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,4,7,1,3,5,2] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,5,2,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,1,5,3,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,1,3,5] => [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,2,1,5,3] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,5,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,4,7,2,5,3,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,3,1,2,5] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,3,1,5,2] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,1,5] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,5,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,3,5,1,2] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,4,7,3,5,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,4,7,5,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,5,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,1,2,4,3,7] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,1,2,4,7,3] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,3,2,4,7] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,1,3,4,2,7] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,3,4,7,2] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,2,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,4,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,3,7] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,1,4,2,7,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,1,4,3,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,1,4,3,7,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,1,4,7,2,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,3,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,2,4,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,1,3,4,7] => [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,3,7] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,2,1,4,7,3] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,2,3,7,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,2,4,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,7,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,2,4,7,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,2,4,7,3,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,3,4] => [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,2,7,1,4,3] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,7,3,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,1,2,4,7] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,1,4,2,7] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,1,4,7,2] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,2,4] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,2,1,4,7] => [1,4,7,2,3,5,6] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,2,4,1,7] => [1,7,2,4,3,5,6] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,7,1] => [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4] => [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,3,7,1,2,4] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,3,7,1,4,2] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,3,7,2,1,4] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,3,7,2,4,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,1,3,7,2] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,1,3,7] => [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,4,7,1,3,2] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,4,7,2,1,3] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,1,2,4,3] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,1,3,2,4] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,2,4,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,2,4,3,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,3,1,2,4] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,5,7,3,2,4,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,4,1,3,2] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,4,2,1,3] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,1,2,4,3,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,1,2,4,5,3] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,1,2,5,3,4] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,1,2,5,4,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,1,3,2,4,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[6,7,1,3,4,2,5] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,1,3,4,5,2] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,2,4] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,4,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,2,3,5] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,1,4,2,5,3] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,5,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,1,4,5,2,3] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,5,3,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,2,3,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,1,5,2,4,3] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,4,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,2,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,3,5,4] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,4,3,5] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,2,1,4,5,3] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,5,3,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,2,1,5,4,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,2,3,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,1,5,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,2,3,4,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,2,3,5,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,2,4,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,1,5,3] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,5,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,2,4,5,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,2,4,5,3,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,4,3] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,4,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[6,7,2,5,4,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,3,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,3,1,2,5,4] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,3,1,4,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,5,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,5,4,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,3,2,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,1,5,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,3,2,4,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,3,2,5,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,4,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,3,4,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,3,4,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,3,5,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,3,5,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,3,5,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,3,5,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,4,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[6,7,4,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[6,7,4,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,4,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,4,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,4,5,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,4,5,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,5,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,5,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,5,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[6,7,5,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,5,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,5,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,5,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[6,7,5,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,5,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,1,2,3,4,6,5] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,1,2,3,5,6,4] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,4,5] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,1,2,3,6,5,4] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,1,2,4,3,5,6] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,1,2,4,3,6,5] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,1,2,4,5,3,6] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,1,2,4,5,6,3] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,3,5] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,5,3] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,4,6] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,1,2,5,3,6,4] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,2,5,4,3,6] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,2,5,4,6,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,1,2,5,6,3,4] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,6,4,3] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,4,5] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,5,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,3,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,4,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,3,2,4,5,6] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,1,3,2,5,6,4] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,4,5] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,1,3,2,6,5,4] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,1,3,4,2,5,6] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,6,5] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,2,6] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,6,2] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,2,5] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,5,2] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,4,6] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,6,4] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,2,6] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,6,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,2,4] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,4,2] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,5,6] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,1,4,2,3,6,5] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,1,4,2,5,3,6] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,4,2,6,3,5] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,2,6,5,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,6,5] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,5,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,5,6,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,1,4,3,6,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,3,6,5,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,1,4,5,2,3,6] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,6,3] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,2,6] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,6,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,2,3] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,3,2] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,3,5] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => [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)
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => [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)
[7,1,4,6,3,5,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,2,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,3,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,4,6] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,5,2,3,6,4] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,2,4,3,6] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,6,3] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,6,3,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,6,4,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,2,4,6] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,2,6,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,4,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,4,6,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,5,3,6,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,4,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,2,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,2,6,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,4,3,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,4,3,6,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,6,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,1,5,6,2,3,4] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,4,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,2,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,3,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,4,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,3,5,4] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,5,3] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,3,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,4,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,4,5] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,5,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,5,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,4,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,5,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,5,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,5,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,3,4,5,6] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,6,5] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,4,6] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,6,4] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,3,5,6] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,2,1,4,3,6,5] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,2,1,4,5,3,6] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,5,6,3] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,3,5] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,5,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,4,6] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,1,5,3,6,4] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,1,5,4,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,1,5,4,6,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,1,5,6,3,4] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,4,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,4,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,3,5,4] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,5,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,4,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,6,5] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,4,6] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,3,1,5,6,4] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,6,4,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,1,6,5,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,1,6,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,5,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,2,3,4,6,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,3,4,6,5,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,2,3,5,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,2,3,5,6,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,2,3,5,6,4,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,5,4] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,4,5,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,2,3,6,5,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,2,3,6,5,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,2,4,1,3,5,6] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,3,6] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,6,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,2,4,3,6,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,5,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,1,6] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,2,4,5,6,3,1] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,6,3,1,5] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,6,3,5,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,2,4,6,5,3,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,3,6] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => [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)
[7,2,5,1,6,3,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,4,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => [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)
[7,2,5,3,1,6,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,2,5,3,6,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,3,6,4,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,6,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,2,5,4,6,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,2,5,6,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,4,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,3,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,5,4] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,3,5] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,1,4,5,3] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,1,5,3,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,5,4,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,1,4,5] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,3,1,5,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,4,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,4,5,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,6,3,5,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,3,5] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,4,3,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,2,6,4,5,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,6,5,1,3,4] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,2,6,5,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,2,6,5,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,1,2,4,5,6] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,6,5] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,4,6] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,3,1,2,5,6,4] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,4,5] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,1,2,6,5,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,6,5] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,1,4,5,2,6] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,4,5,6,2] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => [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)
[7,3,1,4,6,5,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,2,4,6] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,2,6,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,6,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,4,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,4,5] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,5,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,5,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,1,4,5,6] => [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,6,5] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,4,6] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,2,1,5,6,4] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,6,4,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,1,6,5,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,1,6] => [1,6,2,4,5,3,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,1,5] => [1,5,2,4,6,3,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,6,5,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => [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)
[7,3,2,5,1,6,4] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,4,5] => [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,6,1,5,4] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,4,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,4,5,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,2,6,5,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,2,6,5] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,5,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,6,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,2,6,5,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,5,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,5,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,3,4,6,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,3,4,6,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,6,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,3,4,6,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,3,4,6,5,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,3,4,6,5,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,3,5,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,1,4,6,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,4,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,6,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,3,5,6,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,3,5,6,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,3,5,6,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,3,5,6,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,3,5,6,4,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,5,4] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,5,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,4,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,2,5,4,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,1,2,5] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,1,5,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,4,2,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,4,2,5,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,5,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,3,6,4,5,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,3,6,5,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,3,6,5,1,4,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,3,6,5,2,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,3,6,5,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,3,6,5,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,3,6,5,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,1,2,3,5,6] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,1,2,5,3,6] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,2,5,6,3] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,5,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,1,3,2,5,6] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,6,5] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,4,1,3,5,2,6] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,5,3,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,5,3,6,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,3,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,5,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,5,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,1,6,5,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,1,3,5,6] => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,3,6] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,1,5,6,3] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,3,5] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,5,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,3,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,6,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,3,5,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,6,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,3,6,5,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,6,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,5,6,1,3] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,3,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,3,5] => [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,5,3] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,6,3,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,4,2,6,5,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,3,1,2,5,6] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,3,1,5,2,6] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,1,5,6,2] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,2,5] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,5,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,3,2,1,5,6] => [1,5,6,2,3,4,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,6,5] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,3,2,5,1,6] => [1,6,2,5,3,4,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,6,1] => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,1,5] => [1,5,2,6,3,4,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,6,5,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,6,2] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,1,6] => [1,6,2,3,5,4,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,2,1] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,2,5] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,1,5,2] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,2,1,5] => [1,5,2,3,6,4,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1] => [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,5,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,3,6,5,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,5,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,5,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,5,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,4,5,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,5,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,5,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,5,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,5,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,4,5,6,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,4,5,6,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,4,6,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,4,6,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,4,6,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,4,6,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,4,6,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,4,6,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,4,6,5,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,4,6,5,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,4,6,5,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,4,6,5,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,1,2,3,4,6] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,1,2,3,6,4] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,1,2,4,3,6] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,5,1,2,4,6,3] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,6,3,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,1,2,6,4,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,5,1,3,2,6,4] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,1,3,4,2,6] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,3,6] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,1,4,2,6,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,3,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,3,6,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,1,4,6,2,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,3,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,2,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,4,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,4,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,1,3,4,6] => [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,3,6] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,2,1,4,6,3] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,1,6,4,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,6,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,6,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,2,3,6,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,2,3,6,4,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,5,2,4,6,3,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,3,4] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,4,3] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,6,3,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,6,3,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,2,6,4,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,2,6,4,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,3,1,2,4,6] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,3,1,4,2,6] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,4,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,2,1,4,6] => [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,6,4] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,6,1] => [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4] => [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,2,6,4,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,3,4,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,3,4,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,4,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,4,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,3,4,6,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,3,4,6,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,3,6,1,2,4] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,5,3,6,1,4,2] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,3,6,2,1,4] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,3,6,2,4,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[7,5,3,6,4,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,3,6,4,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,4,1,2,3,6] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,4,1,2,6,3] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,4,1,3,2,6] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,2,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,1,6,3,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,3,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,3,6,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,4,2,6,1,3] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[7,5,4,2,6,3,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,4,3,1,2,6] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,4,3,1,6,2] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,1,6] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,6,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,1,2] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,4,3,6,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[7,5,4,6,1,2,3] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[7,5,4,6,2,3,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,4,6,3,1,2] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,4,6,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,5,6,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,5,6,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,5,6,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,5,6,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,5,6,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,5,6,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,5,6,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,5,6,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,5,6,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,1,2,4,3,5] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,1,2,4,5,3] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,3,4] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,1,2,5,4,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,1,3,2,4,5] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,6,1,3,4,2,5] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,2,4] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,4,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,3,5] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,1,4,2,5,3] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,1,4,3,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,1,4,3,5,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,1,4,5,2,3] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,3,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,3,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,1,5,2,4,3] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,2,1,3,4,5] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,5,4] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,3,5] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,2,1,4,5,3] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,3,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,2,1,5,4,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,2,3,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,5,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,2,3,4,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,2,3,5,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,2,4,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,2,4,5,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,2,4,5,3,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,5,3,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,5,3,4,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,6,2,5,4,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,3,1,2,4,5] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,3,1,4,2,5] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,1,4,5,2] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,2,4] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,3,2,1,4,5] => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,5,4] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,3,2,4,1,5] => [1,5,2,4,3,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,1,4] => [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,5,4,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,3,4,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,3,4,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,3,5,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,3,5,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,3,5,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,3,5,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,4,1,2,5,3] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,6,4,1,3,5,2] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,2,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,1,5,3,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,2,1,3,5] => [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,2,3,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[7,6,4,2,5,3,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,4,3,1,2,5] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,4,3,1,5,2] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,1,5] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,5,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,4,5,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,4,5,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,1,2,4,3] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,5,1,3,2,4] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,5,1,3,4,2] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,2,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,1,4,3,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,2,1,3,4] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,4,3] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,2,3,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,2,4,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,5,2,4,3,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,5,3,1,2,4] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,5,3,1,4,2] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,3,2,1,4] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[7,6,5,3,2,4,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,4,1,3,2] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,5,4,2,1,3] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7)
[7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],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] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,8,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,7,8,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,5,6,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,8,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,5,6,8,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,5,7,8,4,3,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,4,8,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,5,7,4,8,3,2,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,5,4,6,8,3,2,1] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,8,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[4,5,6,7,8,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,6,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[5,6,7,8,3,4,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,7,8,3,4,5,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,6,5,4,3,8,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,7,3,8,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,8,2,1] => [1,2,3,8,4,6,7,5] => [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)
[4,5,6,7,3,8,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,3,4,8,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[7,6,4,3,5,8,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,8,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,3,4,5,7,8,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,8,2,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,6,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[5,6,7,8,4,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[4,5,6,7,8,2,3,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,3,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,6,5,7,3,2,4,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8)
[5,6,7,8,3,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,7,6,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,7,8,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,5,6,7,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[5,6,7,8,2,3,4,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,3,2,4,5,6,1] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,2,8,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,3,7,2,8,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,2,8,1] => [1,2,8,3,7,4,6,5] => [1,2,8,7,6,4,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,7,2,8,1] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(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] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,3,8,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,7,2,3,8,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,3,8,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,3,2,4,8,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,4,8,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,7,2,3,4,5,8,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,4,3,2,6,7,8,1] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,6,7,8,1] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,7,8,1] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,7,8,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,6,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,5,7,8,4,3,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[4,5,6,7,8,3,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,7,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,5,6,8,3,4,1,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,5,7,8,3,4,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,4,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,5,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,4,5,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,5,3,4,6,1,2] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[7,8,4,3,5,6,1,2] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,6,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,4,3,5,6,7,1,2] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,7,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,3,8,1,2] => [1,2,3,8,4,7,5,6] => [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)
[5,4,6,7,3,8,1,2] => [1,2,3,8,4,6,7,5] => [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)
[4,5,6,7,3,8,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,3,7,8,1,2] => [1,2,3,7,8,4,6,5] => [1,2,3,8,6,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,7,8,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,7,8,1,2] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,4,5,7,8,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,8,1,2] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,8,1,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,4,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[7,6,8,5,4,2,1,3] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8)
[5,6,7,8,4,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[4,5,6,7,8,2,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,7,8,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,5,6,7,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,5,7,8,4,1,2,3] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[6,7,4,5,8,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,5,4,7,8,1,2,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,1,2,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,5,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[7,8,5,6,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[7,6,5,8,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,6,7,8,3,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[7,8,5,6,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,7,5,8,2,3,1,4] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,6,8,2,3,1,4] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[5,6,7,8,2,3,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[7,8,5,6,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[6,7,5,8,3,1,2,4] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[7,5,6,8,3,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[5,6,7,8,3,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,7,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,7,8,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,3,4] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[5,6,7,8,2,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,8,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,7,8,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,7,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,5,6,8,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,5,7,8,1,2,3,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,7,6,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[6,7,8,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[8,7,6,3,2,1,4,5] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,1,4,5] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,1,4,5] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,3,1,4,5] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,7,6,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,8,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,5,4,3,2,1,6] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,1,6] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,1,3,6] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,4,5,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[8,7,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[7,8,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[7,8,3,4,1,2,5,6] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,4,1,2,3,5,6] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[8,6,5,4,3,2,1,7] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,6,3,2,1,7] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,4,5,6,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,1,2,3,7] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[8,6,5,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,3,4,7] => [1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[8,5,6,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[8,6,4,3,2,1,5,7] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,2,1,5,7] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[7,6,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(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] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,5,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,7,3,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,3,5,2,1,8] => [1,8,2,3,5,4,6,7] => [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)
[7,6,3,4,5,2,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,6,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,2,3,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,3,1,8] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(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] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,3,2,4,1,8] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,4,1,8] => [1,8,2,4,3,5,6,7] => [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)
[7,6,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,3,4,2,5,1,8] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,6,1,8] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(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] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,5,3,6,2,7,1,8] => [1,8,2,7,3,6,4,5] => [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)
[3,2,4,5,6,7,1,8] => [1,8,2,4,5,6,7,3] => [1,8,7,2,4,5,6,3] => ([(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)
[2,3,4,5,6,7,1,8] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,1,2,8] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,1,3,8] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,2,1,3,8] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,1,3,8] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,1,2,3,8] => [1,2,3,8,4,7,5,6] => [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)
[5,4,6,7,1,2,3,8] => [1,2,3,8,4,6,7,5] => [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)
[4,5,6,7,1,2,3,8] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,2,4,8] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,1,3,4,8] => [1,3,4,8,2,5,6,7] => [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)
[7,6,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,7,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[7,5,6,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,5,7,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[7,6,4,3,2,1,5,8] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,1,2,5,8] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,4,5,8] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,5,3,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,5,6,8] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,5,4,3,2,1,7,8] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,7,8] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,7,8] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,2,7,8] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,7,8] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,2,7,8] => [1,2,7,8,3,6,4,5] => [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)
[5,6,4,2,1,3,7,8] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,2,1,3,7,8] => [1,3,7,8,2,4,6,5] => [1,8,3,2,6,4,7,5] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,2,3,7,8] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,5,7,8] => [1,2,5,7,8,3,4,6] => [1,2,8,3,5,4,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,3,4,5,7,8] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,6,7,8] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,6,7,8] => [1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,4,6,7,8] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,6,7,8] => [1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,5,6,7,8] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,6,7,8] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,5,6,7,8] => [1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,5,6,7,8] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8)
[5,8,7,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,5,8,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,8,7,6,5,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[4,7,6,5,8,3,2,1] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,8,5,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[3,5,8,7,6,4,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,4,2,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,2,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,5,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[3,4,5,8,7,6,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,3,6,5,8,7,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[5,7,6,4,3,8,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,5,4,3,1] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,4,3,1] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,3,1] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,3,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,3,1] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,6,5,4,8,3,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,8,7,4,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,4,1] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,3,8,7,6,5,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,2,4,8,7,6,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[5,4,3,2,8,7,6,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,7,8,6,1] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,7,6,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,3,7,8,6,1] => [1,2,5,3,7,8,4,6] => [1,2,5,8,3,4,7,6] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,5,3,7,8,6,1] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,4,2,5,7,8,6,1] => [1,2,5,7,8,3,4,6] => [1,2,8,3,5,4,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,5,2,8,7,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,4,8,7,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,6,5,8,7,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[5,4,3,2,6,8,7,1] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,8,7,1] => [1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,8,7,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[4,3,6,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,8,1] => [1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,7,3,8,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,6,5,7,4,8,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,2,6,7,5,8,1] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,6,5,8,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,7,6,5,8,1] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,7,6,8,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,3,5,2,7,6,8,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,7,6,8,1] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,7,6,8,1] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[2,3,5,4,7,6,8,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[2,5,4,3,6,7,8,1] => [1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,8,6,5,4,3,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,4,3,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,5,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,8,5,4,3,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,4,3,2] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,4,3,2] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,8,4,3,2] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,6,5,3,2] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,8,6,4,2] => [1,3,5,7,8,2,4,6] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,6,5,7,8,4,2] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,4,2] => [1,3,5,6,7,8,2,4] => [1,8,3,2,5,6,7,4] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,6,5,2] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,3,7,8,6,5,2] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,3,7,6,8,5,2] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,8,7,6,5,2] => [1,3,4,8,2,5,6,7] => [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)
[1,3,4,7,6,8,5,2] => [1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,7,8,6,2] => [1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,3,8,7,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,3,8,7,2] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,6,5,8,7,2] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,4,5,6,8,7,2] => [1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,7,8,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,6,7,8,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,5,4,3] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,8,7,4,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,8,4,3] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,5,8,4,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,8,4,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,5,6,7,8,4,3] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,6,5,3] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,8,7,3] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,4,8,3] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,4,7,6,8,3] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,4,5,6,7,8,3] => [1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,8,5,4,3] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,8,4,3] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,7,6,5,3] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,8,6,5,3] => [1,2,4,7,8,3,5,6] => [1,2,8,4,3,5,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,6,7,8,5,3] => [1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,4,7,8,3] => [1,2,6,3,4,7,8,5] => [1,2,6,3,8,4,7,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,4,7,8,3] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,6,7,8,3] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,7,8,6,5,4] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,8,7,5,4] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,8,5,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,6,7,8,5,4] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,7,6,4] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,8,7,4] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,6,8,7,4] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,5,8,4] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,6,7,5,8,4] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,6,8,4] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,7,8,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,6,7,8,4] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,2,8,7,6,5,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,3,8,7,6,5,4] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,6,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,7,8,6,5,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,8,7,5,4] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,8,5,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,6,7,8,5,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,7,6,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,8,6,4] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,6,5,8,7,4] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,2,3,5,6,8,7,4] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,5,8,4] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,7,5,8,4] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,6,8,4] => [1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,7,8,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [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)
[2,4,3,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => [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)
[2,4,3,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [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)
[3,2,4,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => [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)
[3,2,4,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,2,7,6,8,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,2,8,7,6,5] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,7,8,6,5] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,7,5] => [1,4,2,3,6,8,5,7] => [1,4,2,3,8,6,5,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,8,7,6,5] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,4,3,7,6,8,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,7,6,8,5] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,7,6,8,5] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,7,6,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,7,6,5] => [1,3,4,8,2,5,6,7] => [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)
[2,1,3,4,7,6,8,5] => [1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,6,7,8,5] => [1,3,4,6,7,8,2,5] => [1,8,3,4,2,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,7,6,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,4,7,8,6,5] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,6,8,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,4,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [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)
[4,3,5,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [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)
[3,4,5,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,4,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,1,8,7,6] => [1,8,2,3,5,4,6,7] => [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)
[4,3,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,8,7,6] => [1,8,2,4,3,5,6,7] => [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)
[2,3,4,5,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,8,7,6] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,7,8,6] => [1,5,7,8,2,4,3,6] => [1,8,4,2,5,3,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,5,4,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,2,1,8,7] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,1,8,7] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,1,8,7] => [1,8,2,6,3,5,4,7] => [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)
[3,2,5,4,6,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,6,4,3,2,8,7] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[2,1,6,5,4,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,4,3,8,7] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,6,5,3,8,7] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,5,4,6,3,8,7] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,3,1,6,5,8,7] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,8,7] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,4,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[5,4,3,2,1,6,8,7] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,3,6,8,7] => [1,5,2,3,6,8,4,7] => [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)
[4,3,2,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,8,7] => [1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[5,7,6,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,5,2,1,8] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,5,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,4,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,5,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,5,4,2,7,6,1,8] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[3,2,5,4,7,6,1,8] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[2,3,4,5,7,6,1,8] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,7,1,8] => [1,8,2,6,7,3,5,4] => [1,8,7,5,3,2,6,4] => ([(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)
[1,3,4,6,7,5,2,8] => [1,3,4,6,7,2,8,5] => [1,7,3,4,8,6,2,5] => ([(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)
[1,3,4,5,7,6,2,8] => [1,3,4,5,7,2,8,6] => [1,7,3,4,5,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,6,5,8] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,6,5,8] => [1,4,2,7,3,5,8,6] => [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)
[1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,1,4,7,6,5,8] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,7,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,3,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[4,3,2,1,5,7,6,8] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,7,6,8] => [1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,7,6,8] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[2,3,4,6,5,1,7,8] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,5,3,7,8] => [1,2,4,6,3,7,8,5] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,2,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,1,6,5,7,8] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[3,2,5,4,1,6,7,8] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[1,2,3,4,8,6,7,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,5,8,6,7,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,6,8,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,8,5,6,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,5,7,6,4] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,5,7,4] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,7,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,4,8,6,5,7,3] => [1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,5,7,8,3] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[1,2,8,5,4,6,7,3] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,6,5,7,4] => [1,3,2,8,4,5,7,6] => [1,3,2,8,4,7,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,6,2,8] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[1,3,8,5,6,7,4,2] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,5,7,4,2] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,7,8,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[1,6,3,5,4,8,7,2] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [1,8,2,7,3,5,6,4] => ([(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)
[1,8,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,6,7,2] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[1,8,5,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,6,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,4,6,5,3,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,7,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,4,6,3,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,3,8,5,7,6,4] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,6,7,5] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,6,4,5,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,6,5,8,3] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,6,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,6,7,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,5,7,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,7,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[2,3,6,4,5,1,8,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,5,6,8,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[2,5,3,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,8,6,7,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,8,3,4,5,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,3,5,4,7,6,1] => [1,2,8,3,5,4,7,6] => [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)
[2,8,3,5,7,6,4,1] => [1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,6,7,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,5,7,6,1] => [1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,6,7,4] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,6,4,8] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,7,5,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,6,7,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,7,6,4] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,5,7,4] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,1,8,6,7,5] => [1,8,2,4,3,5,6,7] => [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)
[3,2,7,4,6,5,8,1] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,6,1,8] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,2,3,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,5,1,8,7,6] => [1,8,2,3,5,4,6,7] => [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)
[4,2,3,7,5,6,8,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[4,2,3,7,6,5,8,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,8,7,6,5,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,2,3,4,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,3,4,6,5,1,8] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,5,4,1,8] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,6,7,8] => [1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,4,3,1,7,6,8] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,8,7,6] => [1,8,2,4,3,5,6,7] => [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)
[5,2,4,3,6,1,8,7] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,3,7,6,8,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[7,2,4,3,6,5,8,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[8,2,7,4,6,5,3,1] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,7,5,6,8,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,3,2,4,1,6,8,7] => [1,6,8,2,4,3,5,7] => [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)
[5,3,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [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)
[6,3,2,5,4,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,7,6,1] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,2,7,6,5,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,3,4,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,7,4,6,5,2,1] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,4,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,6,5,2,1,8] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,3,5,4,2,1,8] => [1,8,2,3,5,4,6,7] => [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)
[8,7,3,5,4,6,2,1] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[8,7,3,6,5,4,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[8,5,4,3,2,7,6,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,3,6,5,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[2,1,4,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,3,5,8,7] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,4,3,6,8,5,7] => [1,4,2,3,6,8,5,7] => [1,4,2,3,8,6,5,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,6,3,8,5,7] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,1,6,3,8,5,7] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,6,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,8,3,5,7] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,8,3,5,7] => [1,6,8,2,4,3,5,7] => [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)
[2,4,6,1,8,3,5,7] => [1,8,2,4,6,3,5,7] => [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)
[2,4,6,8,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,3,7,5,8] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,3,7,8,5] => [1,6,2,4,3,7,8,5] => [1,6,4,2,8,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,4,1,6,7,3,8,5] => [1,6,7,2,4,3,8,5] => [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)
[2,4,1,6,7,8,3,5] => [1,6,7,8,2,4,3,5] => [1,8,4,2,3,6,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,6,7,1,8,3,5] => [1,8,2,4,6,7,3,5] => [1,8,7,2,3,4,6,5] => ([(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)
[2,1,4,3,7,5,8,6] => [1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,4,1,3,7,5,8,6] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,7,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [1,8,3,2,5,7,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,8,5,6] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,4,1,3,7,8,5,6] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,1,3,8,5,6] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,5,3,7,6,8] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,7,3,8,6] => [1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,1,3,8,6] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,4,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,1,5,3,6,8,7] => [1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,6,7,8,3] => [1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,1,8,3] => [1,8,2,4,5,6,7,3] => [1,8,7,2,4,5,6,3] => ([(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)
[2,4,5,6,7,8,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[2,1,5,3,6,4,8,7] => [1,5,2,3,6,4,8,7] => [1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,8,1,3,4,7] => [1,3,4,7,2,5,6,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,3,4,8] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,8,3,4] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,8,3,4] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[2,5,6,1,7,8,3,4] => [1,7,8,2,5,6,3,4] => [1,8,6,3,2,5,7,4] => ([(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)
[2,5,6,7,8,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[2,1,5,3,7,4,8,6] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,1,7,3,4,8,6] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,3,8,4,6] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[2,5,7,1,8,3,4,6] => [1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => ([(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)
[2,5,7,8,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,7,4,8,6] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,6,4,7,8] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,6,7,8,4] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[2,1,6,3,7,4,8,5] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,3,4,8,5] => [1,3,4,8,2,6,7,5] => [1,8,3,4,7,2,6,5] => ([(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)
[2,1,6,3,7,8,4,5] => [1,6,2,3,7,8,4,5] => [1,6,2,8,4,3,7,5] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,3,8,4,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[2,1,6,7,8,3,4,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,4,7,5,8] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,6,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,6,8,4,5,7] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,8,4,5,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,4,5,7,8] => [1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,1,7,5,8] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,8,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[2,1,7,8,3,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,3,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,7,8,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,4,8,5,6] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,8,1,4,5,6] => [1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,1,8,5,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,7,1,8,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,7,8,1,6] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,4,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,5,6,7] => [1,3,4,8,2,5,6,7] => [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)
[2,3,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,8,1,6,7] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,8,1,7] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,2,6,5,8,7] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,1,4,2,6,8,5,7] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,1,2,5,7] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,7,5,8] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,2,5,8] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,6,7,8,5] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,7,8,5] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,2,8,5] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,7,8,2,5] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,8,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,5,8,6] => [1,4,2,7,3,5,8,6] => [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)
[3,4,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,1,2,5,6] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,5,8,2,6,7] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[3,4,5,8,1,2,6,7] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,5,6,7,8] => [1,4,2,5,6,7,8,3] => [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)
[3,1,4,5,6,7,8,2] => [1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [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)
[3,5,6,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,2,6,8,4,7] => [1,2,6,8,3,5,4,7] => [1,2,8,5,3,6,4,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,2,8,4,7] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[3,5,6,1,8,2,4,7] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[3,5,6,8,1,2,4,7] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,8,2,4] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,1,2,4] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[3,1,5,2,7,4,8,6] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,7,2,4,8,6] => [1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => ([(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)
[3,1,5,7,2,8,4,6] => [1,5,7,2,8,3,4,6] => [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)
[3,5,1,7,2,8,4,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[3,5,7,8,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,7,4,6,8] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,2,7,4,8,6] => [1,3,5,2,7,4,8,6] => [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)
[3,1,5,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,2,5,8,4,6,7] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,2,4,6,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,5,2,6,8,4,7] => [1,3,5,2,6,8,4,7] => [1,5,3,8,2,6,4,7] => ([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,5,2,6,7,4,8] => [1,3,5,2,6,7,4,8] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,5,6,2,7,4,8] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,2,4] => [1,3,5,6,7,8,2,4] => [1,8,3,2,5,6,7,4] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,2,8,4,5] => [1,7,2,8,3,6,4,5] => [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)
[3,6,7,1,2,8,4,5] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[3,1,6,2,7,4,5,8] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,6,4,7,5,8] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,2,4,7,8,5] => [1,3,6,2,4,7,8,5] => [1,6,3,2,8,4,7,5] => ([(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,1,2,6,7,4,8,5] => [1,2,6,7,3,4,8,5] => [1,2,7,3,8,6,4,5] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,7,8,4,5] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => [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)
[1,3,2,6,4,8,5,7] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,4,5,7,8] => [1,6,2,4,5,7,8,3] => [1,6,8,2,4,5,7,3] => ([(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)
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[3,1,2,4,6,7,8,5] => [1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,2,8,5] => [1,3,4,6,7,2,8,5] => [1,7,3,4,8,6,2,5] => ([(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)
[1,3,2,7,4,8,5,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,2,8,4,5,6] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[3,7,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,4,5,7,8,2,6] => [1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [1,8,7,2,4,5,6,3] => ([(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)
[1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,4,8,5,6,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,4,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[4,1,5,2,6,3,8,7] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,1,2,6,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,2,6,8,3,7] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[4,5,1,6,2,8,3,7] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[4,5,6,1,2,8,3,7] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,8,2,3,7] => [1,5,6,8,2,3,7,4] => [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)
[4,5,6,8,1,2,3,7] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[4,5,1,6,2,7,3,8] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,5,6,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,6,7,8,2,3] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,8,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,2,7,3,8,6] => [1,5,2,7,3,8,4,6] => [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)
[4,5,1,7,2,3,8,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,7,2,8,3,6] => [1,7,2,8,3,6,4,5] => [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)
[4,5,7,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,8,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[4,5,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,5,3,7,6,8] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,5,7,3,8,6] => [1,4,2,5,7,3,8,6] => [1,4,7,2,5,8,3,6] => ([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,5,2,7,3,8,6] => [1,4,5,2,7,3,8,6] => [1,5,7,4,2,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,2,3,8,6] => [1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,3,8,6,7] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,2,5,6,3,8,7] => [1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,3,6,7,8] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,2,6,3,7,8] => [1,4,5,2,6,3,7,8] => [1,5,6,4,2,3,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,5,6,7,3,8] => [1,4,2,5,6,7,3,8] => [1,4,7,2,5,6,3,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,2,7,3,8] => [1,4,5,6,2,7,3,8] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,2,3,8] => [1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,6,7,8,3] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,6,7,8,3] => [1,4,2,5,6,7,8,3] => [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)
[1,4,5,2,6,7,8,3] => [1,4,5,2,6,7,8,3] => [1,5,8,4,2,6,7,3] => ([(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)
[1,4,5,6,7,8,2,3] => [1,4,5,6,7,8,2,3] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,3,8,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,6,7,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [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)
[4,6,7,8,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[4,6,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,3,7,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,3,7,5,8] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,1,6,2,3,7,8,5] => [1,6,2,3,7,8,4,5] => [1,6,2,8,4,3,7,5] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,6,7,3,8,5] => [1,2,6,7,3,8,4,5] => [1,2,7,8,4,6,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,3,8,5] => [1,4,6,2,7,3,8,5] => [1,6,7,4,8,2,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,7,8,3,5] => [1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,8,3,5] => [1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => ([(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)
[1,4,6,7,2,8,3,5] => [1,4,6,7,2,8,3,5] => [1,7,8,4,3,6,2,5] => ([(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)
[4,6,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,3,8,5,7] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,3,8,5,7] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,5,8,7] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,1,2,3,6,8,5,7] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,6,3,5,7,8] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,6,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[4,1,2,3,6,7,5,8] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,7,8,5] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,7,8,3,5] => [1,2,4,6,7,8,3,5] => [1,2,8,4,3,6,7,5] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,8,5,6] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,3,5,6] => [1,2,7,8,3,5,6,4] => [1,2,8,6,3,5,7,4] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,8,3,5,6] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,7,5,8,6] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,7,8,5,6] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,3,5,6,8] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,5,6,8] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,3,5,7,6,8] => [1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[4,1,2,3,5,7,8,6] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,5,7,3,8,6] => [1,2,4,5,7,3,8,6] => [1,2,7,4,5,8,3,6] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,5,6,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,8,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,2,3,5,8,6,7] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,3,5,6,8,7] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[5,1,6,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[5,6,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,3,7,4,8] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,2,3,7,8,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,2,3,4] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,8,3,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(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] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[5,1,6,2,3,8,4,7] => [1,6,2,3,8,4,7,5] => [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)
[5,6,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [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)
[1,5,2,6,3,8,4,7] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,6,2,3,8,4,7] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,3,4,7,8] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,6,4,7,8] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,3,6,4,7,8] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,3,4,7,8] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,6,7,8,4] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,6,7,8,4] => [1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,3,7,8,4] => [1,2,5,6,3,7,8,4] => [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)
[1,2,5,6,7,3,8,4] => [1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => ([(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)
[1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[1,5,2,7,3,8,4,6] => [1,5,2,7,3,8,4,6] => [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)
[1,5,7,2,8,3,4,6] => [1,5,7,2,8,3,4,6] => [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)
[5,1,2,7,3,4,8,6] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,4,6,8] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,7,4,6,8] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,1,2,8,3,4,6,7] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,3,4,6,7] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,8,4,6,7] => [1,2,3,8,4,6,7,5] => [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)
[1,2,5,3,8,4,6,7] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,1,2,3,4,6,8,7] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,1,7,8,2,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,7,3,8,4,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[1,6,7,8,2,3,4,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,1,2,3,7,8,4,5] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,3,4,5,8] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,3,4,5,8] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,3,4,5,8] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,3,4,5,8] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,7,4,5,8] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,4,7,5,8] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,3,6,4,7,5,8] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,7,8,5] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,4,7,8,5] => [1,2,6,3,4,7,8,5] => [1,2,6,3,8,4,7,5] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,4,7,8,5] => [1,2,3,6,4,7,8,5] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,3,6,7,4,8,5] => [1,2,3,6,7,4,8,5] => [1,2,3,7,8,6,4,5] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,2,3,4,5,7] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,3,4,5,7] => [1,6,2,8,3,4,5,7] => [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)
[1,6,8,2,3,4,5,7] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,4,8,5,7] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,4,8,5,7] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,5,8,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,1,8,2,3,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,2,8,3,4,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,2,8,3,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,7,8,2,3,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,8,4,5,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,8,5,6] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,7,2,3,4,8,5,6] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,7,4,8,5,6] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,5,8,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[1,7,2,3,4,5,8,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,4,5,8,6] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,3,7,4,5,8,6] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,3,2,5,4,8,1,6] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[7,4,5,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,2,8,7] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [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)
[8,6,4,3,7,2,5,1] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => ([(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)
[3,7,1,5,4,8,2,6] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,1,5,4,7,6,2] => [1,5,2,3,8,4,7,6] => [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)
[4,8,5,1,3,7,6,2] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,3,7,1,5,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[6,8,5,7,3,1,4,2] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,8,6,7,1,3,4,2] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,8,6,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,4,5,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,4,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,4,2,5] => [1,6,8,2,5,3,7,4] => [1,8,5,7,2,6,3,4] => ([(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),(5,7),(6,7)],8)
[4,7,6,1,8,3,2,5] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[5,7,6,8,1,3,2,4] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[5,4,7,2,1,8,3,6] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,8,1,3,5] => [1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[7,4,6,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,2,7,3,5,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,4,5,1] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,8,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,3,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,7,6,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,3,2,8,7,1,5,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,8,6,5,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,2,6,5,3,1] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,2,6,5,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,7,1,5,3] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,8,2,1,7,6,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,6,4] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[2,1,6,8,7,3,5,4] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,2,5,4] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[4,6,8,1,7,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,4,3] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[6,5,8,7,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,8,6,2,4,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[8,5,7,6,2,4,3,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8)
[5,7,8,6,1,4,2,3] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,7,1,8,6,5,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[2,1,7,8,6,5,3,4] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,5,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,4,1,3,2] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8)
[2,1,4,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => ([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => [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)
[6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[6,5,4,3,2,1,10,9,8,7] => [1,10,2,3,4,5,6,7,8,9] => [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)
[4,3,2,1,10,9,8,7,6,5] => [1,10,2,3,4,5,6,7,8,9] => [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)
[2,1,10,9,8,7,6,5,4,3] => [1,10,2,3,4,5,6,7,8,9] => [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)
[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)
[3,2,6,1,4,5,7,8] => [1,4,5,7,8,2,6,3] => [1,8,6,4,5,2,7,3] => ([(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)
[6,3,5,1,2,4,7,8] => [1,2,4,7,8,3,5,6] => [1,2,8,4,3,5,7,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,5,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,8,1,3,4,5,7] => [1,3,4,5,7,2,8,6] => [1,7,3,4,5,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[8,3,7,1,2,4,5,6] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[5,2,6,7,1,3,4,8] => [1,3,4,8,2,6,7,5] => [1,8,3,4,7,2,6,5] => ([(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)
[6,2,5,7,1,3,4,8] => [1,3,4,8,2,5,7,6] => [1,8,3,4,2,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,5,7,1,2,4,8] => [1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,1,3,5,7] => [1,3,5,7,2,6,8,4] => [1,7,3,8,5,2,6,4] => ([(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)
[3,2,7,8,1,4,5,6] => [1,4,5,6,2,7,8,3] => [1,6,8,4,5,2,7,3] => ([(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)
[8,2,4,6,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,1,3,7,8] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => [1,7,3,5,2,6,4,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,2,7,1,4,5,6] => [1,4,5,6,2,7,3,8] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,2,4,6] => [1,2,4,6,3,7,5,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,4,7,1,2,3,6] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[7,8,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,5,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[4,3,2,6,1,5,7,8] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[5,3,2,6,1,4,7,8] => [1,4,7,8,2,6,3,5] => [1,8,6,4,3,2,7,5] => ([(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)
[5,4,2,6,1,3,7,8] => [1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => ([(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)
[4,3,2,7,1,5,6,8] => [1,5,6,8,2,7,3,4] => [1,8,7,3,5,6,2,4] => ([(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)
[6,5,3,7,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,5,6,7] => [1,5,6,7,2,8,3,4] => [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)
[5,3,2,8,1,4,6,7] => [1,4,6,7,2,8,3,5] => [1,7,8,4,3,6,2,5] => ([(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)
[6,4,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[6,5,2,8,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,2,4,7] => [1,2,4,7,3,8,5,6] => [1,2,7,4,8,5,3,6] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,4,8,1,2,3,7] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => [1,6,3,8,5,2,4,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => [1,7,3,5,2,6,4,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,2,3,6] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => [1,6,3,2,5,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,3,5,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,3,4,5] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,2,4,5] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[5,6,2,4,8,1,3,7] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,4,8,1,3,6] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,6,8,1,2,5] => [1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,4,8,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,4,6,7,1,2,3] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => ([(5,6),(5,7),(6,7)],8)
[6,8,2,5,7,1,3,4] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[7,8,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,8,1,4,7] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[6,4,3,5,8,1,2,7] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,4,8,1,3,7] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,7,8,1,5,6] => [1,5,6,2,7,8,3,4] => [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)
[5,4,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[4,3,7,2,6,1,5,8] => [1,5,8,2,6,3,7,4] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,5,1,4,8] => [1,4,8,2,5,3,7,6] => [1,8,5,4,2,7,3,6] => ([(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)
[6,4,7,2,5,1,3,8] => [1,3,8,2,5,4,7,6] => [1,8,3,5,2,7,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,2,5,1,3,7] => [1,3,7,2,5,4,8,6] => [1,7,3,5,2,8,4,6] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,1,5,6] => [1,5,6,2,7,3,8,4] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => [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)
[6,5,8,2,7,1,3,4] => [1,3,4,2,7,5,8,6] => [1,4,3,2,7,8,5,6] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[7,5,8,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[8,3,7,2,6,1,4,5] => [1,4,5,2,6,3,7,8] => [1,5,6,4,2,3,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,4,7,3,6,1,2,5] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,4,3,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[6,5,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[6,5,3,2,8,1,4,7] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[7,5,3,2,8,1,4,6] => [1,4,6,2,8,3,5,7] => [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)
[7,6,5,3,8,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,5,3,2,7,1,4,6] => [1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,3,7,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,7,4,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,4,3,6,1,2,5] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,6,1,2,4] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[8,7,6,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,6,1,5] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,8,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,3,6,1,2] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,2,5,1,4] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[6,8,4,7,3,5,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[6,8,5,7,2,4,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[6,8,5,7,3,4,1,2] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[7,8,3,6,2,5,1,4] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,6,2,5,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[7,8,4,6,3,5,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[7,8,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[6,4,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => [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)
[6,5,3,8,2,7,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[8,5,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,5,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,7,3,6,1,2] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[8,7,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[6,5,4,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[8,5,4,3,2,7,1,6] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,7,6,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,1,2,3,4,7,5,6] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[8,1,2,3,7,4,5,6] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,1,2,3,8,7,4,6] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,7,4,5] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,6,3,8,5] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,5,6,3,4,7] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,7,3,4,6] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,6,3,4,5] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,1,2,5,6,3,8,4] => [1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,4,8,5] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[6,1,4,2,3,8,5,7] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,4,2,3,7,5,6] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,1,7,2,3,4,5,6] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,2,3,8,4,7] => [1,5,2,3,8,4,7,6] => [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)
[5,1,4,2,7,3,8,6] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,5,7] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,6,3,8,5] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,5,2,7,3,4,6] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,6,3,8,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,4,2,8,7,3,6] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,7,8,3] => [1,4,2,6,7,8,3,5] => [1,4,8,2,3,6,7,5] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,7,4,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,1,4,5,2,3,6,7] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,2,3,5,6] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,2,3,4,6] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,5,2,7,3,6] => [1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,2,7,3,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,8,7,2,5,6] => [1,4,8,2,5,6,3,7] => [1,8,6,4,2,5,3,7] => ([(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)
[3,1,7,5,6,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[8,1,4,5,7,2,3,6] => [1,4,5,7,2,3,6,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,6,2,3,5] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,5,8,7,2,6] => [1,4,5,8,2,6,3,7] => [1,8,6,4,5,2,3,7] => ([(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)
[3,1,4,8,6,7,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,6,7,2,4] => [1,8,2,4,3,5,6,7] => [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)
[8,1,4,5,6,7,2,3] => [1,4,5,6,7,2,3,8] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,4,7,5,6] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,3,5,7] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,2,4,7,5,6] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,6,4,5,7] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,6,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[5,8,1,2,3,7,4,6] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,3,7,4,5] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,4,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,6,3,8,5] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,2,7,3,4,6] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,6,3,4,5] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,7,1,2,6,3,8,4] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,2,8,7,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,3,5] => [1,2,6,7,3,5,4,8] => [1,2,7,5,3,6,4,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,6,7,3,4] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,6,7,8,3] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,2,8,5,7] => [1,6,2,8,3,4,5,7] => [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)
[4,3,1,6,2,7,8,5] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[7,3,1,6,2,4,8,5] => [1,6,2,4,8,3,5,7] => [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)
[8,3,1,5,2,7,4,6] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,6,2,7,4,5] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,5,2,7,8,4] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,3,8,6] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,2,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,2,3,8,5] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,5,2,3,4,6] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,1,5,2,3,8,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,8,3,7] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[8,4,1,5,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,7,3,5] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[6,8,1,5,2,7,3,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,7,8,3] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,2,8,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,3,1,5,6,2,8,4] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[8,4,1,7,6,2,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,6,2,8,3] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[4,3,1,5,6,8,2,7] => [1,5,6,8,2,7,3,4] => [1,8,7,3,5,6,2,4] => ([(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)
[4,3,1,8,6,7,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,7,8,5] => [1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => ([(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)
[2,8,5,1,3,7,4,6] => [1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => ([(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)
[2,6,5,1,3,7,8,4] => [1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => ([(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)
[2,7,4,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[2,7,8,1,6,3,4,5] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[2,7,5,1,6,3,8,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[2,5,4,1,8,7,3,6] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[2,5,4,1,6,7,8,3] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[6,3,4,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,2,4,8,6] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,4,8,5] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,7,4,6] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,2,3,8,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,1,2,3,8,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[6,7,5,1,2,3,8,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,7,3,5] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,7,3,4] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,7,8,3] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,6,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,2,8,5] => [1,6,2,8,3,4,5,7] => [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)
[8,3,5,1,6,2,4,7] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => [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)
[7,3,5,1,6,2,8,4] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,4,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,1,6,2,8,3] => [1,6,2,8,3,4,5,7] => [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)
[5,3,4,1,8,7,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,6,7,2,5] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,7,2,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,6,7,8,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,1,7,5,6] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,6,1,7,4,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[2,7,4,8,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,1,3,4,6] => [1,3,4,6,2,7,8,5] => [1,6,3,4,8,2,7,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,8,6,1,3,4,5] => [1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,1,8,3,7] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[2,8,4,5,1,7,3,6] => [1,7,2,8,3,6,4,5] => [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)
[2,8,4,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[2,8,6,5,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,3,4,6,1,2,8,5] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,1,2,4,5] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,3,6,5,1,2,8,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,4,5,1,8,2,7] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,3,4,5,1,7,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,6,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,1,7,2,4] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,5,1,7,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,4,5,1,7,8,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,1,5,7] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,1,8,5] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,7,1,4,6] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,8,7,6,1,4,5] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,1,8,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[2,8,4,5,6,1,3,7] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[2,8,4,5,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,6,1,3,5] => [1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,8,7,5,6,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,7,4,5,6,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,3,4,5,7,1,2,6] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,3,4,7,6,1,2,5] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,7,5,6,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[7,3,4,5,6,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,8,7,1,6] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,6,7,1,5] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,8,5,6,7,1,4] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,8,4,5,6,7,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,1,2,3,4,5,6,9,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[7,1,2,3,4,5,8,9,6] => [1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,6,8,7] => ([(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,9,4,5,6,7] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[2,3,4,5,6,7,9,1,8] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[3,5,2,6,4,1,8,7] => [1,8,2,6,3,5,4,7] => [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)
[3,5,2,7,4,8,1,6] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[3,5,2,7,4,8,6,1] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,6,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,4,2,8,7] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,6,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [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)
[4,6,7,3,8,2,5,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,7,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,2,6] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,8,6,3] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,6,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,3,8,6,2] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,1,8,6,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,5,1,2] => [1,2,3,8,4,6,7,5] => [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)
[4,6,7,3,8,5,2,1] => [1,2,3,8,4,6,7,5] => [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)
[5,6,7,8,3,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[5,6,7,8,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [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)
[2,1,6,7,8,4,5,3] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,4,3,5] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,4,2,5] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[4,6,7,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[4,5,7,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,1,3,5] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,6,7,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,4,5,1] => [1,2,7,8,3,6,4,5] => [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)
[3,5,2,7,1,8,4,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[3,4,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,8,6,5] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,6,4] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[3,6,2,7,8,5,1,4] => [1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,5,4,1] => [1,2,7,8,3,6,4,5] => [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)
[4,6,7,2,8,5,3,1] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,5,1,3] => [1,3,2,8,4,6,7,5] => [1,3,2,8,7,4,6,5] => ([(1,2),(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] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,1,8,6,3] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,6,4] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[2,1,5,7,3,8,6,4] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[2,1,6,7,8,3,5,4] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,2,5,4] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[4,6,7,1,8,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[5,6,7,8,2,1,4,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[5,6,7,8,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[5,6,7,8,2,4,3,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[5,6,7,8,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[2,1,6,7,8,5,3,4] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[5,6,7,8,4,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[5,6,7,8,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => [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)
[4,5,6,3,2,1,9,10,8,7] => [1,9,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,9,8] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[6,5,8,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[3,6,7,4,5,8,1,2] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,6,2,3,8] => [1,5,2,3,8,4,7,6] => [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)
[2,5,4,7,6,1,8,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[3,5,4,7,6,8,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[4,5,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,3,7,5,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,4,5,7,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,6,7,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[4,3,5,6,8,7,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,8,1,4,5,2,3,6] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,2,3,7] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,1,3,2,8,6,5,7] => [1,3,2,8,4,5,7,6] => [1,3,2,8,4,7,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,2,6,4,7] => [1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => ([(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)
[6,1,8,3,2,5,4,7] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[7,8,1,3,2,5,4,6] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[6,2,8,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => [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)
[6,3,8,2,1,7,5,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,6,5,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,4,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => [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)
[4,5,2,7,8,1,6,3] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[2,5,3,7,1,6,8,4] => [1,6,8,2,5,3,7,4] => [1,8,5,7,2,6,3,4] => ([(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),(5,7),(6,7)],8)
[1,5,3,7,2,6,4,8] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,6,7,3,2,5,4,8] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,5,8,4] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[3,6,7,2,1,8,5,4] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[7,8,5,6,2,1,4,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,5,8,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,4,1,8,7,2,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,2,6,4,5] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,3,1,8,2,7,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,3,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,1,3,8,5,7,6] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,4,7,5] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,4,6,5] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,3,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [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)
[6,3,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,2,8,4,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,3,4,8,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(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] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [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)
[6,7,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [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)
[5,7,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,8,4,6] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[2,1,8,5,3,7,4,6] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[3,8,1,5,2,7,4,6] => [1,5,2,7,3,8,4,6] => [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)
[4,8,5,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => [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)
[5,8,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,8,6,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,2,4,5] => [1,6,7,2,4,5,3,8] => [1,7,5,2,4,6,3,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,6,8,2,4,5] => [1,6,8,2,4,5,3,7] => [1,8,5,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,2,3,5] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[6,4,7,1,8,2,3,5] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,6,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [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)
[8,4,6,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,2,4,5] => [1,6,7,2,4,5,3,8] => [1,7,5,2,4,6,3,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,2,4,5] => [1,6,8,2,4,5,3,7] => [1,8,5,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,7,5,6] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,4,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,2,3,5] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => [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)
[4,5,8,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,4,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[2,1,6,8,7,3,4,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[7,5,8,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[8,5,7,6,1,2,3,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[5,7,8,6,1,2,3,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,2,3,5] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,1,7,6,2,4,5] => [1,7,2,4,5,3,8,6] => [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)
[4,8,7,1,6,2,3,5] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,8,7,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[6,4,7,3,8,5,1,2] => [1,2,3,8,4,7,5,6] => [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)
[6,4,7,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,8,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[5,4,2,7,6,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,4,3,7,6,8,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,4,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,3,8,6,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,6,8,7,1,2] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,7,4,8] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[5,3,2,6,1,8,7,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,4,8,2,5,1,7,3] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,5,1,6,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,5,1,3,6] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,3,7] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[5,3,2,6,1,8,4,7] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[4,3,2,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,6,4,7] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,5,4,7] => [1,5,2,3,8,4,7,6] => [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)
[7,8,3,2,1,5,4,6] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,5,7,4] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[5,4,2,7,8,1,6,3] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,3,2,7,1,8,6,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,3,7,2,1,5,4,8] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,1,8,5,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,4,7,2,8,1,5,3] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,4,3] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,5,8,7,2,1,3,4] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,3,7,2,1,8,4,5] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[5,3,2,7,1,4,8,6] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,4,2,8,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,1,3,5] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,2,1,6,4,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,7,4,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,4,7,6] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[7,8,3,2,1,4,6,5] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,4,5,7] => [1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[7,8,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,2,5,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[6,1,8,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,8,1,3,2,6,5,4] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[7,8,3,1,2,6,5,4] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,8,3,4,6,5,1,2] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[7,8,2,3,1,6,5,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,2,1,3,6,5,4] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[6,1,8,2,3,7,5,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[1,6,8,2,3,7,5,4] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[1,5,2,8,3,7,6,4] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[5,1,2,8,3,7,6,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,7,6,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,2,8,1,3,7,5,4] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[6,2,8,3,1,7,5,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,2,8,4,7,1,5,3] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,7,5,1,2] => [1,2,3,8,4,7,5,6] => [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)
[3,6,8,4,7,5,1,2] => [1,2,3,6,8,4,7,5] => [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)
[2,5,1,8,3,7,6,4] => [1,8,2,5,3,7,4,6] => [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)
[1,2,5,8,3,7,6,4] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[2,4,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,7,6,4] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[2,5,4,8,7,1,6,3] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,7,6,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,3,4,8,7,6,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[5,2,4,8,7,1,6,3] => [1,6,2,4,8,3,5,7] => [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)
[5,2,3,8,1,7,6,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,6,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,4,2,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,3,2,8,7,6,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,1,2,7,5,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,7,6,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,5,3,8,2,7,6,4] => [1,5,2,7,3,8,4,6] => [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)
[5,4,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,5,3] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,1,2,4,3] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,6,8,7,3,4,1,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[5,6,8,7,2,1,4,3] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,5,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,2,6,3] => [1,4,5,8,2,6,3,7] => [1,8,6,4,5,2,3,7] => ([(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)
[3,1,5,8,2,7,6,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[3,6,8,1,2,7,5,4] => [1,2,7,3,6,8,4,5] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,3,7,5,1,2] => [1,2,3,7,4,6,8,5] => [1,2,3,7,8,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,5,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => [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)
[3,5,2,8,1,7,6,4] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[3,1,4,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,4,8,7,6,5] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,7,1,6,3] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,8,7,6,1,2] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,7,6,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[2,3,5,8,1,7,6,4] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,2,6,4,8,7] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,2,5,4,8,7] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[7,1,3,2,5,4,8,6] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[8,1,3,2,5,4,7,6] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => ([(2,7),(3,6),(4,5)],8)
[8,1,4,2,5,3,7,6] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,5,3,8,6] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,1,4,2,5,3,8,7] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,1,4,2,6,3,8,7] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,6,3,5,4,8,7] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,4,8,7] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,5,3,8,7] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,5,1,4,3,8,7] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,2,6,1,4,3,8,7] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,7,1,4,3,8,6] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,4,3,7,6] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,4,3,7,5] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,4,3,8,5] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,4,3,8,5] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,5,1,4,3,8,6] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,7,2,5,3,8,6] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[3,1,7,2,5,4,8,6] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,5,4,8,6] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,5,4,7,6] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,4,7,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[4,1,8,2,5,3,7,6] => [1,8,2,5,3,7,4,6] => [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)
[8,2,5,1,4,3,7,6] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,4,3,7,5] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[7,1,4,3,8,2,6,5] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,4,3,7,2,6,5] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,5,3,7,2,6,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,3,8,2,6,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,6,1,5,3,7,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,2,6,3,7,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,1,8,2,6,3,7,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[3,1,8,2,6,4,7,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[2,1,8,3,6,4,7,5] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,2,6,3,8,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,1,7,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[7,2,6,1,5,3,8,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,1,5,3,8,4] => [1,5,2,7,3,8,4,6] => [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)
[6,2,8,1,5,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[8,1,5,2,6,3,7,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,5,2,7,3,8,4] => [1,5,2,7,3,8,4,6] => [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)
[6,1,4,2,7,3,8,5] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,7,5] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,3,2,6,4,7,5] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,6,4,8,5] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,2,7,4,8,5] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,2,7,4,8,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,2,7,5,8,6] => [1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,5,7,6] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,3,2,8,5,7,6] => [1,3,2,8,4,5,7,6] => [1,3,2,8,4,7,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,8,4,7,6] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,8,4,7,5] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,2,6,5] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,1,3,2,6,5] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,7,1,4,2,6,5] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,1,4,2,8,3,7,5] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,8,3,7,6] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,3,7,6] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[3,1,5,2,8,4,7,6] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => [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)
[2,1,6,3,8,4,7,5] => [1,6,2,3,8,4,7,5] => [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)
[3,1,6,2,8,4,7,5] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[5,1,6,2,8,3,7,4] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[6,1,5,2,8,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[8,3,7,1,5,2,6,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,8,1,5,2,6,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,8,1,5,4] => [1,5,2,7,3,8,4,6] => [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)
[6,2,8,3,7,1,5,4] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[8,3,7,2,6,1,5,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,3,7,2,6,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,1,8,3,7,2,6,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[3,1,8,4,7,2,6,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[2,1,8,4,7,3,6,5] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,4,8,2,6,5] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[4,1,7,3,8,2,6,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,1,7,3,8,2,6,4] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[7,3,8,2,6,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,6,3,7,1,5,4] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,6,3,8,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,8,1,4,7] => [1,4,7,2,8,3,6,5] => [1,7,8,4,6,3,2,5] => ([(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)
[5,7,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,2,5,8,3,1,6] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,6,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,5,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[5,6,2,8,1,3,4,7] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[4,1,5,6,3,8,2,7] => [1,5,6,2,7,3,8,4] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,1,6,3,8,2,7] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,5,6,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,4,5,3,8,2,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,8,2,6,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,3,2,5,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,8,3,2,1,5] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,4,2,6] => [1,4,2,6,3,7,8,5] => [1,4,6,2,8,3,7,5] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,2,4,6,1,3] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[7,3,5,8,1,4,6,2] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,3,6,2] => [1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,3,1,5,2] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,8,3,5,2,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,6,7,3,8,4,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,7,3,8,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,1,8,3,5,2] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,3,1,4,5,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,1,7,4,8,3,2,5] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,6,7,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,8,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,7,3,8,4,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,6,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[6,7,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,8,2,1,3,4,6] => [1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,4,6] => [1,8,2,4,6,3,5,7] => [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)
[4,7,1,5,2,8,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[6,7,4,2,1,8,3,5] => [1,8,2,3,5,4,6,7] => [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)
[6,7,4,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,4,5,1] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,4,1,5] => [1,5,2,8,3,6,7,4] => [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)
[3,6,7,2,1,8,4,5] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[5,7,3,8,2,1,4,6] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,2,6,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,7,8,5,2,4,1] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,5,3,1] => [1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,4,7,8,2,1,5,3] => [1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,1,5,7,8,2,6,3] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[5,3,7,8,1,6,2,4] => [1,6,2,4,3,7,8,5] => [1,6,4,2,8,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,7,2,8,5,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,4,1,7,8,2,5,3] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,7,8,4,3] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,6,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,6,2,7,8,4,3,1] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,8,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,2,1,8,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,7,2,8,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,4,7,1,8,2,5,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[6,7,8,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[6,7,8,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[4,6,7,8,1,5,3,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,1,6,7,8,4,3,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,4,3,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,3,4,2,5,7] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,6,4,7] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,2,4,1,7] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,2,4,5,6,3,1,7] => [1,7,2,4,5,6,3,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,6,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,5,6,3,7] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,6,4,7] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,4,3,7] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,3,6,4,1,2,7] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,3,2,7] => [1,4,5,6,2,7,3,8] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,7,2,1,8,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[7,4,5,8,3,2,6,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,8,5,1] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,2,8,1,5] => [1,5,2,8,3,6,7,4] => [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)
[4,5,3,7,1,8,2,6] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,1,5,3,7,2,8,6] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[5,3,4,7,1,2,8,6] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(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] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,8,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,6,4,7,8,3,5,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,3,5,2,1] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,1,2] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,7,8,4,2] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,5,2] => [1,4,8,2,3,6,7,5] => [1,8,2,4,7,3,6,5] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,8,5,3] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,8,1,2,5] => [1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,7,8,2,4] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[3,5,6,7,8,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[4,5,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,8,3,1,5] => [1,5,2,6,7,8,3,4] => [1,5,8,3,2,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,2,7,4,8,5,1] => [1,2,7,3,6,4,8,5] => [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)
[3,6,2,7,4,8,1,5] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [1,8,3,2,5,7,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,6,5] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,8,5,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,6,2,7,1,8,5,4] => [1,8,2,7,3,6,4,5] => [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)
[6,7,3,8,2,5,4,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,7,8,5,2,3,1] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,8,1,5,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,7,8,1,5,3] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,8,6,2,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[7,4,1,5,8,6,2,3] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,8,2,1,6,3,4] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,1,7,8,2,5,4] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,8,5,2,3] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,7,8,4,3] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,1,3] => [1,3,2,6,7,8,4,5] => [1,3,2,8,4,6,7,5] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,3,1] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,7,8,4,3] => [1,5,2,6,7,8,3,4] => [1,5,8,3,2,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,8,2,1,5,4,3] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,3,8,5,1,4,2] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,4,7,8,5,3,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,7,6,1,8] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,4,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => [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)
[8,4,3,6,5,1,2,7] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[4,7,2,6,5,3,1,8] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[5,7,6,2,4,3,1,8] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(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] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[6,8,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,4,1,3,7] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,8,6,5,1,4,7] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[4,1,2,6,5,8,7,3] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,1,6,2,4,8,7,3] => [1,6,2,4,8,3,5,7] => [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)
[6,1,5,4,2,8,7,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,7,6,2,3] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,7,4,5,2,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,5,6,3] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,5,6,4] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,5,4,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,7,1,5,3,6] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,4,3,6] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[6,8,7,1,2,4,3,5] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[7,8,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,4,3,5,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,4,5,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,6,8,1,3,2,4,5] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8)
[5,7,8,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => [1,6,3,8,5,2,4,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => [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)
[5,6,8,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,2,1,4,7] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,3,1,4,2,6] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,3,8,4,6,2] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[1,4,3,7,8,5,6,2] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,4,3,7,1,5,2,6] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[3,2,5,4,8,1,6,7] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,1,8,2,6,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,7,6,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,6,2,4] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,8,4,6,5] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,7,2,1,8,3,6,5] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [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)
[7,6,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,5,4,2] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,3,4,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,2,5,3,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,7,6,3,4] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,1,7,6,3,5] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,1,2,8,7,6,5,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,2,7,6,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,1,8,7,2,5,4,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[8,1,7,6,5,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,6,5,8,7,4] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,1,6,2,4,8,7,5] => [1,6,2,4,8,3,5,7] => [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)
[3,1,5,2,4,8,7,6] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,6,1,2,3,8,7,5] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,4,8,7,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,4,8,7,3] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,8,7,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,3,6,5] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,8,4,6,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,3,7,4,6,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[8,1,5,2,7,4,6,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,3,6,5] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,2,3,5,6] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,4,5,3] => [1,6,7,2,4,5,3,8] => [1,7,5,2,4,6,3,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,8,3,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,6,8,2,4,5,3] => [1,6,8,2,4,5,3,7] => [1,8,5,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [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)
[3,1,2,7,8,5,6,4] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,5,6,2] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,8,7,5,6,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,5,6,4] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,8,2,7,4,6,5] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[3,1,7,6,2,4,5,8] => [1,7,2,4,5,8,3,6] => [1,7,8,2,4,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,6,2,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,7,2,3,5,6] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,3,6,5] => [1,2,7,3,6,4,8,5] => [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)
[5,8,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,7,4,6,3] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[1,6,8,7,3,4,5,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => ([(6,7)],8)
[5,8,7,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[5,8,6,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,3,4,5,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,3,5,4] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,8,7] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,1,8,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[4,2,5,3,7,6,8,1] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,1,8,6] => [1,8,2,5,3,7,4,6] => [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)
[4,2,5,3,6,1,8,7] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[4,2,5,1,6,3,8,7] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,1,5,4,6,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,6,2,8,7] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,6,2,8,7] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,5,2,7,1,8,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[4,3,6,2,7,5,8,1] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,1,8,5] => [1,8,2,7,3,6,4,5] => [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)
[4,3,6,1,7,2,8,5] => [1,7,2,8,3,6,4,5] => [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)
[4,3,5,1,7,2,8,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[3,1,5,4,7,2,8,6] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,7,3,8,6] => [1,5,2,3,8,4,7,6] => [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)
[3,1,5,4,7,6,8,2] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,5,3,7,6,8,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,7,6,8,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,5,8,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,1,8,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,1,8,2] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,3,7,4,8,2] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,6,4,7,5,8,2] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,6,4,7,5,8,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,6,4,7,3,8,5] => [1,6,2,3,8,4,7,5] => [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)
[3,1,6,4,7,2,8,5] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[5,1,6,3,7,2,8,4] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[5,3,6,1,7,2,8,4] => [1,7,2,8,3,6,4,5] => [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)
[5,3,6,2,7,1,8,4] => [1,8,2,7,3,6,4,5] => [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)
[5,3,6,2,7,4,8,1] => [1,2,7,3,6,4,8,5] => [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)
[5,2,6,3,7,4,8,1] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,6,3,7,1,8,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[5,2,6,1,7,3,8,4] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,2,5,1,7,3,8,6] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[4,2,6,1,7,3,8,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,2,6,3,7,1,8,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,2,6,3,7,5,8,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,5,8,1] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,1,8,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[3,2,6,1,7,4,8,5] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,2,5,1,7,4,8,6] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,5,8,6] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,6,8,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,5,8,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,7,1,8,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,7,3,8,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,7,1,8,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,7,6,8,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,7,6,8,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,7,5,8,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,7,5,8,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,1,7,4,8,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[5,2,6,4,7,1,8,3] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[5,2,6,4,7,3,8,1] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,7,3,8,1] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[5,4,6,2,7,1,8,3] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[5,1,6,4,7,2,8,3] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,2,8,3] => [1,6,2,8,3,4,5,7] => [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)
[3,1,6,5,7,2,8,4] => [1,6,2,8,3,4,5,7] => [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)
[2,1,6,5,7,3,8,4] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,4,8,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,7,3,8,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,7,3,8,2] => [1,6,2,3,8,4,7,5] => [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)
[5,4,6,3,7,1,8,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[8,3,5,2,1,6,4,7] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,4,1,8,6] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[8,3,7,5,2,4,6,1] => [1,2,4,6,3,7,5,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,2,4,6,5,3,1,7] => [1,7,2,4,6,3,5,8] => [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)
[8,2,5,4,6,1,3,7] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,4,2,7] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7] => [1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,2,1,8,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,2,6,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[4,7,6,3,2,8,1,5] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,2,8,5] => [1,4,6,7,2,8,3,5] => [1,7,8,4,3,6,2,5] => ([(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)
[5,4,7,3,1,8,2,6] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[1,7,4,5,3,2,8,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,7,5,1,4,2,8,6] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,3,8,6] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,2,1,6,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,7,5,1,4,6,2] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,3,6,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,7,1,5,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,8,6,3,5,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,5,2,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[3,6,5,8,7,4,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[3,1,5,8,6,7,4,2] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,3,5,2] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,8,7,5,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,4,3,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,1,6,4,8,2,5] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,6,8,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,8,2,4] => [1,3,6,7,2,4,5,8] => [1,7,3,2,4,6,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,6,5,8,2,1,4] => [1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,3,5,7,6,8,1,4] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[2,1,6,5,7,8,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,6,8,3,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,8,7,3,5,1] => [1,2,6,8,3,5,4,7] => [1,2,8,5,3,6,4,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,6,7,5,1] => [1,2,4,6,7,3,8,5] => [1,2,7,4,8,6,3,5] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,2,6,4,8,1,5] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,6,1,4,7,8,5] => [1,4,7,8,2,6,3,5] => [1,8,6,4,3,2,7,5] => ([(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)
[5,3,7,2,1,8,4,6] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[4,7,3,2,1,5,8,6] => [1,5,8,2,3,4,7,6] => [1,8,2,3,5,7,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,5,7,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,6,7,2,1,5,4] => [1,5,2,3,6,7,4,8] => [1,5,2,7,3,6,4,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,6,2,1,5,4] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,3,5,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,5,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,1,3,5,4] => [1,3,5,2,6,7,4,8] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,6,1,7,5,2,4] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,8,7,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,7,4,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[2,1,7,8,5,6,4,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,6,4,3,1] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,4,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,7,4,8,2,6,5,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,7,8,1,6,5,2,4] => [1,6,2,4,3,7,8,5] => [1,6,4,2,8,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[8,7,6,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,1,6,7,5,4,3,2] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,4,5,7,3,2] => [1,4,5,7,2,3,6,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,3,6] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,5,3,8,7] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,6,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,5,2,8,7] => [1,6,2,8,3,4,5,7] => [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)
[8,3,7,4,5,1,2,6] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,2,6,3,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,8,7,4,1,6,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,7,4,2,6,3,5] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(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] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,8,7,5,3,4,6] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,7,3,4] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,7,2,4] => [1,7,2,4,3,8,5,6] => [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)
[3,7,6,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,4,7,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,6,1,3] => [1,3,2,5,8,4,7,6] => [1,3,2,8,5,7,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,5,6,7,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [1,8,2,7,3,5,6,4] => ([(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)
[3,8,4,2,5,6,7,1] => [1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => ([(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)
[8,4,1,3,5,6,7,2] => [1,3,5,6,7,2,4,8] => [1,7,3,2,5,6,4,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,5,3,8,4,1,7,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,8,4,6,7,3] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,3,6,7,5] => [1,4,8,2,3,6,7,5] => [1,8,2,4,7,3,6,5] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,1,7,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,6,7,4] => [1,8,2,5,6,7,3,4] => [1,8,7,3,2,5,6,4] => ([(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)
[2,3,8,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => [1,7,2,8,5,6,3,4] => ([(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)
[4,3,8,2,5,6,7,1] => [1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => ([(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)
[4,8,2,3,5,6,7,1] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => [1,7,2,8,5,6,3,4] => ([(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)
[2,8,1,3,5,6,7,4] => [1,3,5,6,7,2,8,4] => [1,7,3,8,5,6,2,4] => ([(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)
[8,1,2,3,5,6,7,4] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,1,8,4,5,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,3,1,6] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[8,7,1,4,3,6,2,5] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,8,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[5,6,3,8,4,2,7,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,1,4,2,7,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,3,1,8,5,7,6] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,3,2,6,8,7,5] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,2,7,4] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,6,2,7,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,4,7,6,2,1] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,6,1,3] => [1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,7,6,4,5,8,1,3] => [1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,8,2,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,8,3,4] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,3,6,7,4] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[6,8,3,5,2,1,7,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,1,4,2,5,6,7,3] => [1,4,2,5,6,7,3,8] => [1,4,7,2,5,6,3,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,5,6,7,3] => [1,5,6,7,2,8,3,4] => [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)
[3,4,2,8,5,6,7,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,1,8,5,6,7,3] => [1,8,2,4,3,5,6,7] => [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)
[4,1,2,8,5,6,7,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,4,8,6,1,3] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,5,3,2,8,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,1,5,3,8,6,7,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,1,7,2] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,6,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[4,3,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,8,5,6,7,2] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,2,8,4,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,8,6,3,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,8,6,3,1] => [1,2,5,7,3,4,8,6] => [1,2,7,3,5,8,4,6] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[3,8,7,4,5,2,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,4,8,6,2,1] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,8,6,2,3] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,6,3,5,8,2,7,1] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,1,2,7,5] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[3,6,2,5,4,8,1,7] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,4,7,1,8,6] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[4,2,5,8,3,7,6,1] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[4,2,6,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,4,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[6,3,5,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[4,6,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => [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)
[5,1,6,4,3,8,2,7] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[5,4,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,4,3,8,2,7,6,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,4,3,1,7,2,8,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,5,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,1,4,6,2] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,7,3,6,2] => [1,5,2,3,6,4,8,7] => [1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,8,1,7,5,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,8,6,5,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,8,3,7,6,5,2,1] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,4,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,1,8,6,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,5,3,7,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,6,1,8,7,3,5,2] => [1,8,2,3,5,4,6,7] => [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)
[6,2,8,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[1,7,6,4,8,3,2,5] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,3,2,8,4] => [1,6,2,8,3,4,5,7] => [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)
[6,1,7,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,6,5,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,2,8,7,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,6,3,8,7,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,6,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,5,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,4,1,8,3,6] => [1,8,2,7,3,6,4,5] => [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)
[4,7,2,6,3,1,8,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[2,4,8,6,3,7,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,7,5,1] => [1,2,4,7,3,8,5,6] => [1,2,7,4,8,5,3,6] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,6,2,4,1,8,5] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,1,4,8,5] => [1,4,8,2,3,6,7,5] => [1,8,2,4,7,3,6,5] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,1,5,6] => [1,5,6,2,3,7,8,4] => [1,6,2,8,5,3,7,4] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,2,5,7,1,6,4] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[8,3,6,2,7,1,5,4] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,5,4] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,6,2,5,4,1] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,2,7,1,8,6,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,8,2,7,6,4,3,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,7,5,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,2,8,5,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,5,1,8,2,6,4,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,2,5,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[7,8,3,1,6,5,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,5,3,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,5,7,1,6,4,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,5,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,8,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,3,7,6,1,8] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,4,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[7,4,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [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)
[3,2,7,6,4,5,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,7,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [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)
[5,7,6,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,3,8,4,7] => [1,6,2,3,8,4,7,5] => [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)
[6,8,5,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,8,6,4,1,5,7] => [1,5,7,2,8,3,4,6] => [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)
[3,2,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,8,3,4,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[1,8,6,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,7,2,3,4,5] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,2,3,4,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,4,5,6] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,3,4,6] => [1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => [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)
[3,2,5,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,3,5,6] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,3,5,6] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,7,3,4,6] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[8,5,1,2,7,3,4,6] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [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)
[4,6,2,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,8,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,7,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,8,7,2,3,4,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,2,3,4,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,2,1,7,3,5,6] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,2,1,8,7,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[6,1,8,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,6,2,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,5,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,5,2,7,1,8,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,5,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => [1,6,3,7,4,2,5,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,5,4,3,8,7] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,6,2,8,7] => [1,4,6,2,8,3,5,7] => [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)
[3,1,4,6,5,2,8,7] => [1,4,6,2,8,3,5,7] => [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)
[5,7,4,6,2,8,3,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,3,4,6] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,7,1,2] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,1,6,3,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,6,7,1,8,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,8,1] => [1,2,4,6,3,7,5,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,6,3,8,5,7,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,2,8,6,5,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,8,6,2] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,1,7,3,2] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,2,1,6,5] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,1,8,2,5] => [1,8,2,5,3,7,4,6] => [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)
[8,3,1,2,5,7,6,4] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,7,2,3,8,5,6,1] => [1,2,3,8,4,7,5,6] => [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)
[3,8,2,1,7,5,6,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,3,6,5,7,4] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,5,4,3,1,6] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[8,7,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(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] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,3,8,7,4,2,6,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,2,1,6,5] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,1,4,2,7,5] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,4,1,6] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,6,7,8,5] => [1,3,2,6,7,8,4,5] => [1,3,2,8,4,6,7,5] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,2,7,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,2,4] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,7,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[2,8,6,5,4,7,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,5,7,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,3,6,1,7,2,4] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,5,7,3,4] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,1,8,4] => [1,8,2,3,5,4,6,7] => [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)
[7,1,4,2,5,6,8,3] => [1,4,2,5,6,8,3,7] => [1,4,8,2,5,6,3,7] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,6,5,8,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,7,6,3] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,8,6,7,3] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,8,7,3] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,6,1,7,3] => [1,7,2,4,6,3,5,8] => [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)
[7,5,3,2,6,8,1,4] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,5,3,6,8,7,4] => [1,5,2,3,6,8,4,7] => [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)
[7,3,5,4,6,1,8,2] => [1,8,2,3,5,4,6,7] => [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)
[4,3,1,5,7,6,8,2] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,1,8,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,4,3,8,7] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,5,2,7,4,8,3,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,7,4,1,6,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,2,8,4,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,4,2,8,7] => [1,6,2,8,3,4,5,7] => [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)
[5,6,3,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [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)
[3,6,2,4,1,5,8,7] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,8,5,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[8,7,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,5,7,3,8,6,4,1] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,7,4,1,8,5,2] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[5,6,3,7,4,8,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,4,8,5,3] => [1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,3,6,5] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,2,6,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,1,2,6,5] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,5,2,6,4] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,7,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => [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)
[8,1,6,3,2,5,4,7] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[4,8,1,2,7,6,3,5] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,5,7,1,6] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[6,8,3,5,2,7,4,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,7,6,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,2,8,7,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,4,8,1,6,3] => [1,6,2,4,8,3,5,7] => [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)
[2,4,1,8,7,6,5,3] => [1,8,2,4,3,5,6,7] => [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)
[8,4,2,1,7,5,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,7,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,8,6,5,7,2] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,8,2,3] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,6,8,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,7,1,6,8,2,4,3] => [1,6,8,2,4,3,5,7] => [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)
[8,6,2,5,1,7,4,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,7,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,5,8,3,7,1] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[7,5,2,6,3,8,1,4] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,8,7,5] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [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)
[7,5,2,8,3,4,6,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,7,2,8,1,5,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,1,5,4,2] => [1,5,2,3,6,8,4,7] => [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)
[5,7,8,6,3,4,1,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[7,1,8,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,3,6,1] => [1,2,7,8,3,6,4,5] => [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)
[5,7,3,8,1,4,6,2] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,8,5,4,6,3] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,4,1,2,7] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,4,3,6,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,1,8,3,6,5,2,7] => [1,8,2,7,3,6,4,5] => [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)
[3,4,8,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,6,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,7,6,5] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[2,3,8,1,4,6,7,5] => [1,4,6,7,2,3,8,5] => [1,7,2,4,8,6,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,5,1,7,6] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[6,3,8,4,2,5,7,1] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,2,5,1,6] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,4,8,3,5,7,6] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,5,1,7] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,5,1,6,7] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,6,5,7] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,1,3,4,5,7,6] => [1,3,4,5,7,2,8,6] => [1,7,3,4,5,8,2,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,5,3,7] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[2,8,4,1,6,5,7,3] => [1,6,2,8,3,4,5,7] => [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)
[2,8,7,6,1,4,3,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,6,7,4,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,8,6,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[3,5,7,2,4,1,6,8] => [1,6,8,2,4,3,5,7] => [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)
[7,5,8,2,4,1,6,3] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,7,6,1] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,8,7,6,1,4,5,3] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,6,1,7,4] => [1,7,2,8,3,6,4,5] => [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)
[2,8,5,6,7,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,5,3,4,7,1,6] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,6,7,1] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,6,1,8] => [1,8,2,4,6,3,5,7] => [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)
[6,5,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[6,5,2,8,3,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,5,2,8,3,1,4,7] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[7,5,8,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,5,8,2,1,3,7,4] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,2,1,8,7,4] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,1,4,8,2] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,1,8,6] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,7,2,4,6,8,1] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,1,2,3,7,6,8,5] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[6,5,2,7,3,4,8,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,4,8,7,3] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,8,6,4,7,3] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,3,4,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,7,4,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,5,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,8,6,5,7] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,6,7,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,7,6,5,8] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,8,5,7,6] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,4,3,5,2] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,2,4,3,1,7] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,4,3,7,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,8,3,4,1,6] => [1,6,2,8,3,4,5,7] => [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)
[6,5,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,1,6,8,7,3,2,4] => [1,6,8,2,4,3,5,7] => [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)
[5,7,8,6,3,4,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => ([(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,5,7,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,2,7,5] => [1,8,2,7,3,6,4,5] => [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)
[3,1,4,8,6,2,7,5] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[3,1,4,8,6,5,2,7] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[7,1,6,5,8,3,2,4] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,8,3,2,5] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[4,1,6,5,7,3,2,8] => [1,6,2,8,3,4,5,7] => [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)
[4,5,2,6,3,7,1,8] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,5,2,7,3,8,1,6] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[3,5,6,2,4,8,7,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,8,4,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[3,6,5,2,8,1,7,4] => [1,7,2,8,3,6,4,5] => [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)
[6,1,2,5,8,4,7,3] => [1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,3,4,2] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,6,3,8,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,5,8,7,6] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,8,6,5] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,8,6,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,7,8,3,5,2] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,8,5,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,6,8,7,3] => [1,2,5,6,8,3,4,7] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,7,8,1] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,5,6,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[7,8,4,2,1,5,3,6] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,6,5,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,2,5,7,3,8] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,1,5,7,3,6] => [1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => ([(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)
[6,3,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[7,8,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,5,4,2,1,6] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,2,3,6,5] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,3,6,5,4,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,2,1,5,3,4,6] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,1,3,5] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,2,5,6,4,1,3] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,4,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,2,1,7,5,4,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,5,4,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,6,4,7,5] => [1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => ([(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)
[5,3,7,1,6,4,8,2] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,7,4,1,8] => [1,8,2,7,3,6,4,5] => [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)
[6,1,2,5,8,7,4,3] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,4,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,4,2,1,5,3,8,7] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,7,5,8,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,5,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,4,7,1,5,3,6,8] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,6,4,2,8,5] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[2,1,7,5,6,8,4,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,8,6,4,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[3,8,1,7,6,4,5,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,3,6,4,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,3,6,1,4] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,2,4,7,3] => [1,5,6,8,2,4,7,3] => [1,8,7,2,5,6,4,3] => ([(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)
[5,6,7,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,2,8,1,4,7,3,6] => [1,4,7,2,8,3,6,5] => [1,7,8,4,6,3,2,5] => ([(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)
[4,5,6,7,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,6,1,8,3,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,2,7,3,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[1,6,5,8,3,2,7,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,1,2,8,3] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,1,8,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,4,2,8,7] => [1,6,2,8,3,4,5,7] => [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)
[5,7,1,4,2,3,8,6] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,6,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,2,4,1,8,3,7,5] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[6,2,3,5,4,8,1,7] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,5,8,7,2] => [1,3,4,5,8,2,6,7] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,6,8,3] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,4,1,6,3,8] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,4,2,8,5,3,7] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,8,7,6,2,3,1,4] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,7,2,6,5,3,8] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,8,2,1,5,6,3,7] => [1,5,6,2,3,7,4,8] => [1,6,2,7,5,3,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,1,6,3,5] => [1,6,2,7,8,3,5,4] => [1,6,8,5,3,2,7,4] => ([(1,5),(1,7),(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)
[2,1,8,7,6,5,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,7,8,2,6,5] => [1,4,7,8,2,6,3,5] => [1,8,6,4,3,2,7,5] => ([(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)
[3,1,7,4,5,6,8,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,3,7,5,6,8,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[4,8,6,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,1,2,5,3,7,6] => [1,2,5,3,7,4,8,6] => [1,2,5,7,3,8,4,6] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,8,6,5,2,4,1,7] => [1,7,2,4,3,8,5,6] => [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)
[5,3,7,8,2,1,6,4] => [1,6,2,3,7,8,4,5] => [1,6,2,8,4,3,7,5] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,7,1,6,4,3] => [1,6,2,8,3,4,5,7] => [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)
[1,6,8,7,5,2,4,3] => [1,6,8,2,4,3,5,7] => [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)
[3,7,6,8,5,2,1,4] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[3,7,8,5,1,2,4,6] => [1,2,4,6,3,7,8,5] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,1,6,4,2,5,8] => [1,6,2,5,8,3,7,4] => [1,6,8,7,2,5,3,4] => ([(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)
[4,1,8,6,2,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,3,5,1,2] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,3,4,8] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,6,4,5,3,7] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[2,8,7,5,1,4,3,6] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,1,3,4] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,7,8,6,5,4,1,3] => [1,3,2,7,8,4,5,6] => [1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,7,4,8,5] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,1,7,2,4] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,2,5,8,6] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[3,6,2,7,1,4,8,5] => [1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => ([(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)
[5,3,6,7,1,2,8,4] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,1,2,8,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,2,3,8,6] => [1,5,2,3,8,4,7,6] => [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)
[3,7,5,1,2,4,8,6] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,3,8,1,5] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,2,3,7,1,5] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,3,8,1,2,5] => [1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,1,4,8,2,5] => [1,4,8,2,5,3,7,6] => [1,8,5,4,2,7,3,6] => ([(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)
[5,7,2,6,1,8,3,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,8,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,6,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,8,6,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,2,4,7,1,5] => [1,5,2,4,7,3,8,6] => [1,5,7,2,4,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,7,1,2,5] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,7,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[4,8,6,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => [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)
[7,3,8,5,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,3,7,5,8,1,2,4] => [1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,4,8,1,3,5] => [1,3,5,2,7,4,8,6] => [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)
[2,5,7,4,8,1,3,6] => [1,3,6,2,5,7,4,8] => [1,6,3,7,2,5,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,7,2,8,1,3] => [1,3,2,8,4,6,7,5] => [1,3,2,8,7,4,6,5] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,1,8,2,5] => [1,8,2,5,3,7,4,6] => [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)
[5,4,7,3,8,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,7,1,2,5] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,7,2,3,5] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,8,2,3,5] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[6,5,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,8,1,2] => [1,2,3,6,4,7,8,5] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,4,8,5,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,5,8,6,2,3] => [1,5,8,2,3,4,7,6] => [1,8,2,3,5,7,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,6,3,4] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,1,8,6,2,3,5] => [1,8,2,3,5,4,6,7] => [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)
[7,6,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,8,1,6,3,4] => [1,6,2,8,3,4,5,7] => [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)
[6,4,7,8,2,5,1,3] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => ([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[3,6,8,2,7,1,4,5] => [1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,1,2,3,5] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[5,4,8,7,1,2,3,6] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,7,1,3,4,6] => [1,3,4,6,2,5,8,7] => [1,6,3,4,2,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,7,1,3,5] => [1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,6,2,3,5] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,4,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[6,8,4,7,5,1,2,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[5,8,7,1,6,2,3,4] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,7,6,1,2,4,5] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,8,7,6,1,2,3,5] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,6,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,1,2,6,4] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,4,5,3,2,6] => [1,4,5,2,6,3,7,8] => [1,5,6,4,2,3,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,4,1,6,5,3] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[7,1,8,4,2,6,5,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,8,6,3,2] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,4,7,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,1,5,7,2] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[8,6,3,1,2,5,7,4] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,2,6,5,3] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,5,6,7,8,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,8,9,1,7] => [1,7,2,3,4,5,6,8,9] => [1,7,2,3,4,5,6,8,9] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,5,6,7,8,9,1,4] => [1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => ([(6,8),(7,8)],9)
[2,4,5,6,7,8,9,1,3] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => ([(7,8)],9)
[3,4,5,6,7,8,9,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[2,3,4,5,6,7,8,9,1,10] => [1,10,2,3,4,5,6,7,8,9] => [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)
[2,3,4,5,6,7,1,8,9] => [1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,10,1,9] => [1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,1,9,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,1,8,9,6,7] => [1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,5,6,7,8,9,10,1,3] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => ([(8,9)],10)
[3,4,5,6,7,8,9,10,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[3,6,4,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,1,8,4,7] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[8,5,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,7,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,3,4,5,8,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,2,7,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,2,7,4,5,8,1] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,2,3,8,1] => [1,2,3,8,4,7,5,6] => [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)
[6,7,3,5,2,4,8,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,4,5,8,1] => [1,2,4,5,8,3,7,6] => [1,2,8,4,5,7,3,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,3,1,2,8,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,3,7,1,4] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => [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)
[5,7,3,1,2,8,4,6] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,1,8,4,7] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,1,8,3,7] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[5,4,8,6,2,7,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,5,2,7,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,3,6,1,4] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[6,8,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,2,7,3,4,5,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,8,1,7,3,4,5,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,8,6,1,7,2,4,5] => [1,7,2,4,5,3,8,6] => [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)
[4,2,8,3,7,1,5,6] => [1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => ([(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)
[4,1,7,5,8,2,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,2,4,5,6] => [1,7,2,4,5,6,3,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,4,5,6] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,6,2,7,1,8,4,5] => [1,8,2,7,3,6,4,5] => [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)
[6,3,7,1,2,8,4,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,8,3,4,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,7,3,4,5] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,4,6,7] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,6,8,2,7] => [1,3,6,8,2,7,4,5] => [1,8,3,7,4,6,2,5] => ([(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)
[1,5,3,4,6,8,2,7] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,8,7,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,8,7,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,5,3,4,8,7,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[5,3,2,8,7,1,4,6] => [1,4,6,2,8,3,5,7] => [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)
[5,3,1,8,7,2,4,6] => [1,8,2,4,6,3,5,7] => [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)
[8,5,3,7,6,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[6,3,8,1,7,2,4,5] => [1,7,2,4,5,3,8,6] => [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)
[7,6,8,2,3,5,1,4] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,7,3,8,2,5,1,4] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,4,7,8,2,6,1,3] => [1,3,2,6,4,7,8,5] => [1,3,2,6,8,4,7,5] => ([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,1,4,5] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,3,4,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,8,7,3,4,5,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,7,2,4,5,6] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,7,2,3,6] => [1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,1,2,3] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,8,3,7,5,1,2,4] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[7,8,6,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,5,4] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,4,5] => [1,6,7,2,4,5,3,8] => [1,7,5,2,4,6,3,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,6,2,4,7] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,3,6,2,4,8] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,2,4,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[7,4,8,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,3,2,6,5,7] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,3,2,7,5,6] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,4,3,2,7,6,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,5,4,6,7,2,3] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,7,4] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,6,7,5] => [1,4,2,6,7,3,5,8] => [1,4,7,2,3,6,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,7,6] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,5,6,7] => [1,4,2,5,6,7,3,8] => [1,4,7,2,5,6,3,8] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,6,8] => [1,3,2,5,6,8,4,7] => [1,3,2,8,5,6,4,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,5,7,1] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,8,6] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,6,8,5] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,6,2,8,4] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,6,8,2,3] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,8,3,6,2,1,4] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[7,4,8,3,2,5,1,6] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[6,4,3,7,2,5,8,1] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[5,4,3,2,8,6,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,4,3,2,8,7,1,6] => [1,6,2,8,3,4,5,7] => [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)
[6,5,3,8,7,2,1,4] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,5,4,8,7,1,2,3] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,5,4,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,4,3,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,5,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,4,8,6,2,3] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,8,6,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,1,3,2,8,5,6] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,8,2,7,5,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,7,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,5,3,1,8,2,4,7] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[7,5,1,3,8,2,4,6] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,8,5,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,2,6,4] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,8,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,8,1,7,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,4,3,7,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,5,3,7,1,2,8,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,1,8,2,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,8,2,1,4] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[5,4,3,2,7,8,1,6] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,6,2,1,3,4,8,7] => [1,3,4,8,2,5,6,7] => [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)
[5,8,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => [1,6,3,7,4,2,5,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,8,2,1,4,6] => [1,4,6,2,3,7,8,5] => [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)
[7,6,1,2,5,8,3,4] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,1,5,6,2] => [1,5,6,2,3,7,4,8] => [1,6,2,7,5,3,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,4,6,3] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[8,4,1,3,7,6,2,5] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,2,1,6,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,6,8,3,4,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,7,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,3,6,5] => [1,3,6,2,8,4,7,5] => [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)
[7,3,8,6,1,2,5,4] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,8,2,6,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[1,8,2,4,3,5,6,7] => [1,8,2,4,3,5,6,7] => [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)
[1,7,2,4,3,5,6,8] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,5,7,8] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,6,7,8] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,4,7,8] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,4,6,8] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,4,6,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,4,5,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,3,4,5,8] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,5,4,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[1,7,2,8,3,5,4,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[1,6,2,8,3,5,4,7] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,8,3,6,4,7] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,6,5,7] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,6,5,7] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,6,5,7] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,4,6,5,8] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,6,5,8] => [1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,6,5,8] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,6,4,8] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,3,5,4,8] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[1,7,2,6,3,5,4,8] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,5,4,7] => [1,8,2,6,3,5,4,7] => [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)
[1,8,2,5,3,6,4,7] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[1,7,2,5,3,6,4,8] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,5,3,7,4,8] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,7,6,8] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,7,5,8] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,6,5,8] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,4,3,6,5,7] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,6,5,7] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,6,5,8] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,7,5,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(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] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[1,7,2,4,3,8,5,6] => [1,7,2,4,3,8,5,6] => [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)
[1,6,2,4,3,8,5,7] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,5,2,4,3,8,6,7] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,6,2,5,3,8,4,7] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,2,5,3,8,4,6] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[1,8,2,5,3,7,4,6] => [1,8,2,5,3,7,4,6] => [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)
[1,8,2,6,3,7,4,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[1,7,2,6,3,8,4,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[1,2,3,8,4,7,5,6] => [1,2,3,8,4,7,5,6] => [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)
[1,3,2,8,4,7,5,6] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,5,6] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,7,4,6] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[1,6,2,8,3,7,4,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[1,7,2,8,3,6,4,5] => [1,7,2,8,3,6,4,5] => [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)
[1,8,2,7,3,6,4,5] => [1,8,2,7,3,6,4,5] => [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)
[4,6,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => [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)
[4,6,3,7,5,2,1,8] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[4,6,3,8,5,1,2,7] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[5,6,8,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,7,5,3,1,8] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[5,6,7,2,4,3,1,8] => [1,8,2,4,3,5,6,7] => [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)
[5,6,8,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,1,3,7] => [1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => ([(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)
[5,6,8,2,4,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[5,7,8,4,1,2,6,3] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[6,7,8,1,5,2,3,4] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,5,2,4] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,6,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,8,1,6,4,5] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[3,2,7,8,1,6,5,4] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[4,7,2,8,1,6,5,3] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,3,5,4,2] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,4,2,3] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,8,1,4,5,2,3] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,5,3,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,5,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,1,3,4,5,2] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,6,3] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,5,6,3] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[3,2,7,8,1,5,6,4] => [1,5,6,2,7,8,3,4] => [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)
[5,6,8,3,2,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,4,6,2] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,6,2,5] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,3,8,1,6,5,2] => [1,6,2,3,8,4,7,5] => [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)
[4,7,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,5,2,3,8,1,7,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,8,1,7,6] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[4,7,3,8,1,5,2,6] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,3,8,1,2,6,5] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => [1,2,6,8,5,3,4,7] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,2,4,6] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,2,6,4] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,4,2,6] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,3,2,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,5,4,6] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,3,6] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[6,7,8,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,4,2,5,3] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,1,2,5,3,4] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,1,2,5,4,3] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[6,7,8,1,2,4,5,3] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[5,7,8,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,4,6,5] => [1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => ([(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)
[6,7,8,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[6,7,8,1,2,4,3,5] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[6,7,8,1,2,3,5,4] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[7,2,8,5,1,6,4,3] => [1,6,2,8,3,4,5,7] => [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)
[7,2,8,5,4,1,6,3] => [1,6,2,8,3,4,5,7] => [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)
[2,8,5,4,3,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,8,4,5,6,1,7,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,8,4,5,3,7,1,6] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[7,2,8,4,5,6,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,5,1,4,7] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[7,4,8,5,2,1,3,6] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,1,3,7,2] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,3,7,5,1,2,8,6] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,5,6,8,2] => [1,5,6,8,2,3,7,4] => [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)
[3,6,1,7,5,2,8,4] => [1,7,2,8,3,6,4,5] => [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)
[3,4,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,7,1,4,8,2] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,1,8,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,3,1,8,6,4,7,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,7,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[6,3,5,8,2,7,4,1] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,4,2,3,7,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,8,3,7,1,4] => [1,4,2,5,8,3,7,6] => [1,4,8,2,5,7,3,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,3,4,2,8] => [1,6,2,8,3,4,5,7] => [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)
[1,5,2,7,4,6,3,8] => [1,5,2,7,3,8,4,6] => [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)
[5,2,1,8,7,6,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,6,1,7,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,6,5,1,7] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,3,5,8,6,1,4] => [1,4,2,7,3,5,8,6] => [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)
[3,2,4,7,8,6,1,5] => [1,5,2,4,7,8,3,6] => [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)
[1,5,4,6,2,7,3,8] => [1,5,2,7,3,8,4,6] => [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)
[5,2,4,7,1,8,3,6] => [1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => ([(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)
[5,3,6,4,1,8,7,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,8,2,7] => [1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => ([(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)
[7,3,5,6,8,4,2,1] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,8,2,7,4] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[2,7,6,5,8,3,4,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,1,6,3,8,4,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,1,7,8,5,6] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,8,6,5] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,4,7,2,8,6,3] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[3,6,4,7,8,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,8,5,7,2] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,4,5,7,1,8,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,1,7,8,3] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,3,6,5,8] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[7,3,4,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,4,3,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,3,2,5,4,1,8] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,8,3,2,5,4,7,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[1,8,4,5,2,3,7,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[7,3,5,1,6,2,4,8] => [1,6,2,4,8,3,5,7] => [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)
[7,2,1,6,5,4,3,8] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,1,5,4,2,8] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,1,3,2,8] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,8,6,4,3,7,2,5] => [1,8,2,5,3,7,4,6] => [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)
[6,5,7,4,3,1,8,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,1,3,8,2] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,4,8,2] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,1,7,5,4,8,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => [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)
[2,4,8,5,1,3,7,6] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,1,5] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[2,7,8,4,3,6,5,1] => [1,2,7,8,3,6,4,5] => [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)
[1,8,7,4,3,6,5,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,5,6,3,4,1] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,3,1,4] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,1,3,4] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,1,7,6,8,4,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,7,1,6,8,4,2] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[5,4,7,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,8,1,3,2] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[4,6,7,5,8,3,1,2] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => ([(5,6),(5,7),(6,7)],8)
[1,8,6,5,7,3,2,4] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(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] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,5,6,8,2,3,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[4,6,5,7,8,2,1,3] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8)
[5,2,1,6,7,8,3,4] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,7,3,8,4] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[6,3,5,1,7,2,8,4] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[6,5,4,7,2,1,8,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,2,8,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,2,7,3,5] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[5,7,3,2,6,8,4,1] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,8,1,4] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,4,3,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,3,7,8,5] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,2,1,4,3,8,7,6] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,3,4,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,3,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,2,8,6,5,1] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,8,4,7,2,6,5,3] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[3,7,4,8,2,6,5,1] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,8,2,7,1,5] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,2,1,7,6] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,2,7,6] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,5,1,8,2,7,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[4,2,1,6,8,7,3,5] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,8,7,2,5] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[3,4,6,8,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[3,6,5,8,7,2,1,4] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[3,7,5,8,6,2,4,1] => [1,2,4,3,7,5,8,6] => [1,2,4,3,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,6,2,4,3] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(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] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,8,5,4,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,1,4,2] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,2,1,7,8,6,5,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,1,6,5,3] => [1,6,2,4,8,3,5,7] => [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)
[2,6,8,7,5,4,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[12,11,10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => ([],12)
[7,4,6,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [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)
[8,3,5,1,7,4,6,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,5,6,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,3,1,7,5,6,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,7,5,8,3] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,5,8,3] => [1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,1,6,8,4,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,1,7,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,5,1,8,4,2] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[7,5,6,1,8,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,5,7,1,8,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,4,1,7,5,3,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,1,6,7,5,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,7,5,8,3] => [1,7,2,4,6,3,5,8] => [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)
[4,7,1,6,5,8,2,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,6,5,7,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,7,5,8,3] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,6,8,4,3] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,5,3] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,7,6,8,4] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,5,3,7,6,8,4] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,5,1,2,7,6,8,4] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,8,2,3,4] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,5,8,3,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[2,3,5,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,8,3,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,5,8,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,2,4,3] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,8,4,2,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,5,2,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,7,6,8,4] => [1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,1,5,8,3,4] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,6,2,4] => [1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,5,8,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,7,4,8,3] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,8,2,5,3] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,7,1,5,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,7,4,8,3] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,6,2,1,4] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[1,8,3,5,7,6,2,4] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,2,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,3,7,6,8,4] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,8,4,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,7,5,1,3] => [1,3,2,6,7,4,5,8] => [1,3,2,7,4,6,5,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,5,8,3] => [1,4,2,7,3,5,8,6] => [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)
[8,2,6,5,7,1,4,3] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,2,5,7,1,4] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,6,1,4] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,3,2,7,6,8,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,3,2,7,6,8,5] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,2,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[2,4,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,3,7,6,8,4] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,3,5,7,1,4] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[6,7,1,3,5,8,2,4] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,6,1,2,4] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8)
[5,1,2,3,7,6,8,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[3,1,2,4,7,6,8,5] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[10,8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,8,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[8,1,2,4,3,6,5,7] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[8,1,3,5,6,2,7,4] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,4,2,6,7,5] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[8,1,3,2,4,5,7,6] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[2,7,8,3,4,5,6,1] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,4,5,7,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,4,2,6,8,5] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,1,5,6,8,2,3] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,6,1,2,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,2,1,4] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,6,1,5] => [1,5,2,6,3,7,8,4] => [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)
[3,6,2,8,4,5,1,7] => [1,7,2,8,3,6,4,5] => [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)
[2,3,6,7,4,5,8,1] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,7,1,6] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,5,8,7,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[6,4,5,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,3,8,5,6] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,1,3,7,5,8] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,8,3,7,5,1] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,5,8,7,3,4,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,4,8] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,3,4,7] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,3,4,1] => [1,2,5,6,7,8,3,4] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,3,8,5,1] => [1,2,4,6,7,3,8,5] => [1,2,7,4,8,6,3,5] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,6,7,3,1,5,8] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[5,6,4,8,1,7,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,1,6,8] => [1,6,8,2,5,3,7,4] => [1,8,5,7,2,6,3,4] => ([(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),(5,7),(6,7)],8)
[4,3,6,7,2,1,8,5] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[3,4,6,7,2,8,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,2,7,8,1,6] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,2,7,8,6,4,1,3] => [1,3,2,7,8,4,5,6] => [1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,8,6,4,3] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,5,2,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,8,6,5,3] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,5,3,2,4] => [1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,5,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[7,8,1,6,3,5,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,6,5,2,4] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,5,2,1,4] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[4,7,2,8,6,1,5,3] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,8,6,5,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(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] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,8,2,3,6,5,1,4] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,5,7,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,6,3,4] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,3,5,4] => [1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,8,7,1,5,3] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,3,7,4,5,2] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[1,6,8,3,4,7,5,2] => [1,6,8,2,3,4,7,5] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,3,5,1,4] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,8,2,1,7,3,5,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,3,6,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[8,7,6,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,5,7,2,3,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,4,2,7,1,6,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,5,3,4,6,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,6,2] => [1,8,2,3,5,4,6,7] => [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)
[8,2,5,4,7,1,6,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,3,1,6,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,4,3,5] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,7,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[5,8,4,7,2,1,6,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,3,7,5,2] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[6,8,1,7,3,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,3,2,6,4] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,5,7,3,1,2,6,4] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,8,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,2,6,5,7,4,3] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[4,8,5,7,1,6,2,3] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,7,1,2,6,3] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[8,5,3,1,7,2,6,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,6,4] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,3,7,2,5,4] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,7,5,2] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,8,7,4,5,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(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] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,5,3,2,7,1,6,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,4,3,5,6,2] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(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] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,1,5,4,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,7,6,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,1,7,6,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,2,5,1,4,8,7] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,2,7,6,3] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,1,6,3,2,5] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,3,7,6,2] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,5,1,7,6,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,6,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,3,2,5,1,7,4,6] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(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] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,4,3,6,2,1,5] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,4,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,4,3,5] => [1,8,2,3,5,4,6,7] => [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)
[2,1,8,7,6,4,5,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,7,6,4,5,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,3,6,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,5,2,4,3,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[8,5,4,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,5,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,3,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,6,4,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,7,6,5,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,5,4,7,6,2] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,3,1,5,4,7,2,6] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,6,5,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,2,6,5,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,2,5,4,7,1,6] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,3,6] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,7,6,5,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,3,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,7,6,5,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,3,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,4,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,7,4,3,6,1,5,2] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,1,5,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,3,5,4] => [1,8,2,3,5,4,6,7] => [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)
[8,3,2,7,6,1,4,5] => [1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,7,6,5,1,2,4,3] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[7,3,5,1,8,4,6,2] => [1,8,2,3,5,4,6,7] => [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)
[7,3,4,1,8,5,6,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,2,1,8,7,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,5,2,7,4,3,8] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[7,4,3,1,8,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,1,8,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,2,1,8,7,5,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,4,2,7,5,3,8] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[1,5,3,2,7,6,4,8] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,1,8,7,6,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,6,8,2,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,8,4,3,7] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,5,3,7] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,8,6,4,7] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,8,3,4,7] => [1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,8,2,5,6] => [1,3,4,8,2,5,6,7] => [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)
[7,1,5,6,8,2,3,4] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,7,8,3,4] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[7,4,1,6,8,5,2,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,8,6,7,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,6,8,7,4] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,7,3,4,8] => [1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,5,8,7,3,4] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,8,6,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,8,5,7,3] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,5,1,8,4,7,3] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[7,3,1,4,8,6,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,8,7,3,5] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,3,5,8] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,3,8,7,4,6] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,3,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,7,8,3,5] => [1,4,7,8,2,6,3,5] => [1,8,6,4,3,2,7,5] => ([(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)
[7,1,4,6,8,2,3,5] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,3,5,8,2,4,6] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,4,8,3,5,7] => [1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,6,4,8,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,3,1,8,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,2,4,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[7,3,5,2,4,1,8,6] => [1,8,2,4,3,5,6,7] => [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)
[6,3,5,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [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)
[5,2,4,1,6,3,8,7] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,6,3,5,2,8,7] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,1,5,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,3,4,1,8,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,4,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,2,8,6,7,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,3,4,1,8,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,3,4,1,5,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,5,2,8,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[3,1,7,4,5,2,8,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,1,7,4,5,3,8,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,6,7,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,6,7,3,5,2] => [1,8,2,3,5,4,6,7] => [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)
[8,6,7,3,4,1,5,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,5,7,3,4,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,2,7,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,3,5,1,6,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,3,6,2] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,5,7,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,4,6,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,4,6,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,2,8,5] => [1,7,2,8,3,6,4,5] => [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)
[5,1,7,3,6,2,8,4] => [1,7,2,8,3,6,4,5] => [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)
[6,2,7,3,5,1,8,4] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[6,2,8,4,7,3,5,1] => [1,2,8,3,5,4,7,6] => [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)
[8,4,7,3,6,2,5,1] => [1,2,5,3,6,4,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,5,1,8,4] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[6,2,5,1,7,3,8,4] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[5,2,4,1,7,3,8,6] => [1,7,2,4,3,8,5,6] => [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)
[6,2,4,1,7,3,8,5] => [1,7,2,4,3,8,5,6] => [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)
[8,5,7,3,6,2,4,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8)
[8,5,7,4,6,2,3,1] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[7,4,6,2,3,1,8,5] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,7,4,8,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,1,7,4,8,6] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,8,6,7,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,1,8,5,7,4] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,8,5,6,2,3,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[7,3,8,5,6,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,8,6,7,3] => [1,8,2,4,3,5,6,7] => [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)
[4,1,5,2,8,6,7,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,8,6,7,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,8,5,7,4] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,8,5,7,4] => [1,6,2,8,3,4,5,7] => [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)
[4,1,6,2,8,5,7,3] => [1,6,2,8,3,4,5,7] => [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)
[5,1,6,2,8,4,7,3] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,1,7,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,6,2,5,1] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,7,3,8,4,5,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,6,2,7,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,6,2,7,3] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,1,8,5,6,2,7,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,1,8,5,6,2,7,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,1,8,5,6,3,7,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[2,1,7,4,8,5,6,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,4,8,5,6,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,8,5,6,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,7,3,6,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,8,4,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,3,4,2] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,8,1,3,6,2,5,4] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[4,6,1,2,5,7,3,8] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,2,5,7,3,6] => [1,4,8,2,5,7,3,6] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,5,6,1,3] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[7,8,1,5,4,6,3,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,8,2,1,6,3,4,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,5,6,4,1,2] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => ([(5,6),(5,7),(6,7)],8)
[7,8,1,4,2,3,6,5] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[7,8,5,1,4,2,6,3] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,5,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,5,8,4,3,2,7,6] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[5,6,1,4,3,2,7,8] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,8,3,7,1,5] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,6,8,3,7,5,2] => [1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => ([(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)
[2,4,8,5,3,1,6,7] => [1,6,7,2,4,8,3,5] => [1,7,8,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,1,4,7,6,3] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[3,5,8,4,7,6,1,2] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,3,8,5] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[4,6,2,5,3,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,4,8,2] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,2,1,8,4] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[1,4,7,2,5,3,8,6] => [1,4,7,2,5,3,8,6] => [1,7,5,4,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,3,5,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[3,5,6,7,8,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[3,6,5,7,8,2,1,4] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[5,2,7,6,1,4,3,8] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,8,1,3,4] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,7,5,6,8,4,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,6,8,4,5,3,7] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[2,7,1,8,5,3,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[3,7,6,8,5,4,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[4,3,8,5,6,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,2,8,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[3,2,8,4,5,6,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,4,2,8,6,1,7,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,3,7,8,1,2,6,5] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,2,6,4] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,7,8,6,3,2,1,4] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,7,8,6,1,3,4,2] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[7,6,5,8,1,3,4,2] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,6,4,3,8,2,5,7] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[3,6,5,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [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)
[2,6,3,4,5,8,1,7] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,8,3,7,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[7,3,6,4,8,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,4,8,3,5,6] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,3,8,4,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,6,7,4,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,4,1,8,3,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,8,3,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,8,3,4,7] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,6,5,4,2,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,3,4,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,5,3,2,8,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,4,1,2,8,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,4,3,1,6,8] => [1,6,8,2,4,3,5,7] => [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)
[7,4,6,1,2,5,3,8] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,1,4,2,5,7,3] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[1,6,3,7,5,4,2,8] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[6,8,1,3,7,5,4,2] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,6,4,2,8] => [1,3,5,6,2,8,4,7] => [1,6,3,8,5,2,4,7] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,6,4,5,2,8] => [1,6,2,8,3,4,5,7] => [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)
[7,4,6,3,1,5,2,8] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,5,3,6,8] => [1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,1,6,8] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,3,4,7,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[1,5,7,2,3,8,6,4] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[5,1,8,2,3,6,7,4] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[5,8,2,3,7,6,4,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,3,7,4,5] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[6,8,2,3,5,4,7,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[6,8,2,4,1,5,7,3] => [1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,2,4,7,5] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,7,8,3,6,4] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[2,5,3,6,8,4,7,1] => [1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,7,6,1,8,4] => [1,8,2,5,3,7,4,6] => [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)
[2,5,7,8,1,4,6,3] => [1,4,6,2,5,7,8,3] => [1,6,8,4,2,5,7,3] => ([(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)
[5,3,4,1,8,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,1,8,6,3,7,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,2,8,6,5,3,7,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,5,8,6,3] => [1,4,2,7,3,5,8,6] => [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)
[4,1,8,6,7,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,8,7,6,2,4,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[5,8,4,7,6,2,1,3] => [1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,3,6,1,2] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,4,8,3,1,7,2,5] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,1,3,5] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,3,8,7,2,5,1,4] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,1,3,8,6,7,2,4] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,4,2,8,3] => [1,5,7,2,8,3,4,6] => [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)
[5,8,7,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,1,2,7,3,5] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,3,7,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[6,8,5,2,4,3,7,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[6,8,5,3,1,2,7,4] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,5,1,2,7,6,3,8] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,6,8,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,8,4,7,2] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,2,8,6,4] => [1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,5,1,4,8] => [1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => ([(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)
[4,2,6,1,7,3,5,8] => [1,7,2,6,3,5,8,4] => [1,7,6,8,3,2,5,4] => ([(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)
[4,6,3,1,2,7,5,8] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,6,2,8] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,2,5,7,1,6,3,8] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[3,5,2,7,8,1,6,4] => [1,6,2,7,8,3,5,4] => [1,6,8,5,3,2,7,4] => ([(1,5),(1,7),(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)
[3,1,4,7,5,6,2,8] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[3,4,6,5,8,7,1,2] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[4,5,3,1,6,8,7,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,4,3] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,3,8,6,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,7,3,8,6,5] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,5,2,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,7,5,2,4,8] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,5,4,7] => [1,2,6,8,3,4,7,5] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,4,8,6] => [1,2,5,3,7,4,8,6] => [1,2,5,7,3,8,4,6] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,3,7,2,4,8,6,5] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,7,8,6,5,3] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,1,8,6,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,5,8,6,3] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[5,2,8,1,3,7,4,6] => [1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => ([(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)
[2,1,6,8,3,4,7,5] => [1,6,8,2,3,4,7,5] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,5,7,3] => [1,5,7,2,8,3,4,6] => [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)
[6,3,7,4,5,1,8,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[2,6,3,7,5,8,1,4] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,1,7,8,3,4,6] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,8,1,5] => [1,5,2,3,6,8,4,7] => [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)
[5,7,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,6,1,8,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,1,6,7,4] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,6,7,1,5] => [1,5,2,8,3,6,7,4] => [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)
[8,4,1,3,6,2,5,7] => [1,3,6,2,5,7,4,8] => [1,6,3,7,2,5,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,3,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [1,7,6,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,7,1,6,3] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,1,6,2] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,8,2,7,1,5,4] => [1,5,2,7,3,8,4,6] => [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)
[6,3,1,8,2,4,7,5] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[5,3,8,1,2,6,4,7] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,2,3,8] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,1,2,6,3,7] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,2,7,3,6] => [1,8,2,7,3,6,4,5] => [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)
[1,6,2,8,5,3,7,4] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[6,8,5,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,1,2,6,3,7] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,2,8,4,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[6,3,2,7,8,5,1,4] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,8,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,5,8,1,6,3] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,4,6,2,5,7] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,7,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,8,1,7,3] => [1,7,2,4,5,6,8,3] => [1,7,8,2,4,5,6,3] => ([(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)
[4,8,3,5,6,1,7,2] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,7,8,1,4] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,1,2,6] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,8,7,3,4,1,2,5] => [1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,8,4,7,1,5,3,2] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,8,4,7,2,5,3,1] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,4,8,7,2,6,3,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,1,6,3,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,3,8,7,6,1,2,5] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,3,7,5,1,2,6] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,4,6,5,1,2,7] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,5,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[3,5,8,7,6,1,2,4] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[4,5,8,7,6,1,2,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,5,8,7,1,6,3,2] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,8,7,2,6,3,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,5,8,2,7,6,4,1] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,1,7,6,4,2] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,7,1,6,3,4] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,1,6,3,5] => [1,6,2,4,8,3,5,7] => [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)
[2,8,4,7,1,5,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,5,3,6] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[1,5,8,2,7,6,4,3] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[2,5,8,3,7,6,4,1] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[1,4,2,8,7,6,5,3] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,2,7,5,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[8,1,3,2,6,5,4,7] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,8,1,7,6,4,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,1,8,7,6,5,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,8,7,1,6,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => [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)
[5,2,8,1,7,6,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,3,8,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,2,7,6,4,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,7,5,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,3,1,7,5,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,1,7,5,4,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,5,3,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,2,1,4,3,5] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[8,5,6,1,2,4,3,7] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,1,2,4,3,6] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[6,8,1,2,7,5,4,3] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,3,7,5,4,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,2,8,3,7,6,4,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,6,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[5,1,8,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [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)
[4,8,1,7,2,5,3,6] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,6,2,5,3,7] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,6,5,4,7] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,2,7,5,4,6] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[3,1,8,2,7,6,4,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,1,2,8,7,6,5,4] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,3,8,7,6,5,2] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,6,5,2] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,6,4,5] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[2,8,1,3,7,5,4,6] => [1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => ([(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)
[8,2,1,3,6,5,4,7] => [1,3,6,2,4,7,5,8] => [1,6,3,2,7,4,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,2,3,6,5,4,7] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,3,7,5,4,6] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[1,2,8,3,7,6,4,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,8,2,5,7] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,8,4,7] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,8,2,4,7,6] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[1,4,5,2,8,3,7,6] => [1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => ([(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)
[1,4,2,6,5,8,3,7] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,4,2,6,8,3,7] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[3,1,6,5,8,2,4,7] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,5,8,3,7] => [1,6,2,5,8,3,7,4] => [1,6,8,7,2,5,3,4] => ([(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)
[1,5,2,6,4,8,3,7] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,6,5,4,8,3,7] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,5,4,7,3,8,6] => [1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,3,8,7,5] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,2,8,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,2,8,3,6] => [1,4,7,2,8,3,6,5] => [1,7,8,4,6,3,2,5] => ([(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)
[7,1,3,5,2,8,4,6] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[7,2,5,1,8,3,4,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,2,8,7,3,6] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[1,4,2,8,3,7,6,5] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,7,6,4] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,8,6,5,3,7,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,3,7,4] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[1,6,4,2,8,7,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,1,8,7,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,1,6,2,8,4,5] => [1,6,2,8,3,4,5,7] => [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)
[1,7,6,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[1,7,5,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[1,6,2,7,5,3,8,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[1,2,7,6,5,3,8,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,5,3,8,7,4] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,3,8,7,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,6,3,8,4] => [1,5,2,7,3,8,4,6] => [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)
[1,6,5,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,1,2,8,6,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,4,7,5] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[4,3,7,1,8,2,5,6] => [1,8,2,5,6,3,7,4] => [1,8,6,7,2,5,3,4] => ([(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)
[8,3,1,6,2,4,7,5] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [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)
[1,8,7,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [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)
[1,4,2,8,7,3,6,5] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,3,6,5] => [1,7,2,8,3,6,4,5] => [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)
[8,1,5,4,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,2,7,3,6] => [1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => ([(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)
[8,5,3,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => [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)
[8,6,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,4,2,7,3,5] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[1,8,5,2,6,3,7,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[1,5,2,7,3,8,6,4] => [1,5,2,7,3,8,4,6] => [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)
[1,2,8,5,3,7,6,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,7,5,4] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,6,3,8,5,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,8,5,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[1,7,2,8,5,3,6,4] => [1,7,2,8,3,6,4,5] => [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)
[1,7,4,2,8,6,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[7,1,8,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,6,3,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,6,3,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,5,3,6,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,7,5,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,6,5,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,6,5,8,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,6,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[8,1,7,6,3,4,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,6,2,4,1,3] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[5,7,1,6,2,4,3,8] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,1,5,2,7,3,8] => [1,5,2,7,3,8,4,6] => [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)
[8,1,4,5,3,7,6,2] => [1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,8,7,2] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,7,8,2] => [1,4,5,2,3,7,8,6] => [1,5,2,4,3,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,2,4,3] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,3,5,7,2] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,4,5,3,8,6,2] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,6,7,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,6,3,8] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,5,7,2,1,4,8] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,1,7,4] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,7,2,1,8,4] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[6,4,5,8,3,7,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,2,4,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,4,8,6,3,1,7,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,8,2,3,7,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[5,8,1,6,2,4,3,7] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,6,3,7] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,5,8,2,1,4,7] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,2,1,4,7] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,1,5,7,4] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[2,8,6,7,1,3,5,4] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,3,5,7,2,1,6,4] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,5,6,1,7,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,6,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,6,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,6,2,8,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,2,1,6,4] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,2,1,4,8] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,3,5,4] => [1,3,5,2,7,4,6,8] => [1,5,3,7,2,4,6,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,5,8,3,1,4] => [1,4,2,7,3,5,8,6] => [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)
[8,7,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[2,6,4,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,6,5,8,4] => [1,3,6,2,7,4,5,8] => [1,6,3,7,4,2,5,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,6,8,4,3,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,8,3,4,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,7,6,1,4,3,5,8] => [1,4,2,7,3,5,8,6] => [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)
[7,3,5,1,2,8,4,6] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,3,7,6] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,3,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,3,8,6,4,1,7,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,4,3,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,7,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,6,1,7,3,4,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,3,8,1,6,4,7,5] => [1,6,2,3,8,4,7,5] => [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)
[2,3,8,1,4,5,7,6] => [1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => ([(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)
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[2,1,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => ([(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)
[1,2,3,4,5,6,7,8,9,11,10] => [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)
[9,1,2,3,4,5,6,7,10,8] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => ([(7,9),(8,9)],10)
[1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,9,6,7] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,1,2,3,4,5,6,9,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[2,1,9,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,4,3,6,5,1,7,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,5,4,2,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,5,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,7,5,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,5,1,7,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,2,8,6,5,1,7,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,2,1,7,6,4,5,8] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,5,2,4,3,8] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,2,7,6,3,4,5,8] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,7,4,5,6] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,3,5,4] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,6,4,3,5] => [1,8,2,6,3,5,4,7] => [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)
[6,1,8,2,4,7,3,5] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[5,1,8,3,2,7,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[3,2,1,8,4,7,5,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,6,5,4] => [1,6,2,8,3,4,5,7] => [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)
[5,8,7,2,1,6,4,3] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,7,1,3,5,4,2] => [1,3,5,2,4,6,8,7] => [1,5,3,2,4,6,8,7] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,6,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[1,8,7,2,6,5,3,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,5,6,3,4] => [1,7,8,2,5,6,3,4] => [1,8,6,3,2,5,7,4] => ([(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)
[8,6,7,1,4,5,3,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,3,5,2] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,5,8,3,2,1,7,4] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,4,6,2] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,5,4,8,2,7,3,6] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,5,2,7,8] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,3,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,4,3,1,2,5,7,6] => [1,2,5,7,3,4,6,8] => [1,2,7,3,5,4,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,2,3,7,6] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,1,4,2,6,3,8] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,5,1,4,3,2,7,8] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,1,5,4,7,8] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,1,4,6,5,8] => [1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,3,6,5,8] => [1,3,6,2,4,7,5,8] => [1,6,3,2,7,4,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,1,3,2,6,4,8] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,4,5,3,8] => [1,2,4,5,3,8,6,7] => [1,2,5,4,3,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,1,2,5,4,3,8] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,1,2,5,3,7,4] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,6,4,5,8] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,8,1,2,3,5,6,4] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => ([(5,6),(5,7),(6,7)],8)
[6,8,1,2,4,3,7,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,8,1,3,2,4,7,6] => [1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,1,4,5,7,6] => [1,4,5,7,2,8,3,6] => [1,7,8,4,5,3,2,6] => ([(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)
[5,1,2,4,3,6,7,8] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,4,7,8] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,6,5,8] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[6,7,3,8,5,1,2,4] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,7,4,5,1,8,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,6,8,1,2,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[3,8,4,5,7,1,2,6] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,6,7,1,2,5] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,5,6,7,1,8,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,6,8,2,3,7,4] => [1,5,6,8,2,3,7,4] => [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)
[1,5,6,2,8,4,7,3] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[2,5,6,3,4,7,8,1] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,5,7,3] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,3,2,5,4,6,7] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[2,8,3,1,5,7,4,6] => [1,5,7,2,8,3,4,6] => [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)
[2,4,1,6,8,7,5,3] => [1,6,8,2,4,3,5,7] => [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)
[3,4,1,6,7,8,5,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,7,8,1,6,3,4] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,3,7,2,6,4,8,1] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,3,1,5,8,4,2] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,2,8,1,5,3,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,7,1,2,8,4,5,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,1,3,4,8,5,2] => [1,3,4,8,2,5,6,7] => [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)
[5,1,7,3,4,8,6,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,7,2,3,6,5] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,7,4,5,6] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,7,5,8,6,2] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,3,4,7,6,5] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,6,5,7] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,6,7,5] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(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] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,6,4,1,8,7,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,8,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,8,6,1,4] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,2,3,8,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,3,1,8,7,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,1,3,8,7,4] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => [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)
[5,6,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,1,2,8,7,4] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,2,1,8,7,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => [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)
[6,7,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,8,1,2,5,4] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,6,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,2,6,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[1,5,7,4,8,6,3,2] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,6,2,4] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,6,2,4] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,3,8,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,7,3,8,5,2,1,4] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,8,3,5,2,4] => [1,8,2,4,3,5,6,7] => [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)
[6,1,7,8,4,5,2,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,5,3,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,3,5,2] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,2,5,3] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(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] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,1,3,5,4] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,7,2,8,3,1,5,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,3,5,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,4,5,1,3] => [1,3,2,7,8,4,5,6] => [1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,1,5,3] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,4,6,3] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[4,2,1,7,8,5,6,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,6,5,3] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,1,5,4,3] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,8,5,1,4,3] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,8,5,4,1,3] => [1,3,2,7,8,4,5,6] => [1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,5,3,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,8,6,3,4] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,6,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,5,7,3,8,6,4,2] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[1,6,7,8,3,5,4,2] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,5,4,3] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,3,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => [1,5,3,2,4,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,2,4,3] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,5,3,4,2] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,5,4,2,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [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)
[6,7,8,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[6,3,8,5,2,7,4,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,4,7,3,1] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[3,8,4,7,5,2,1,6] => [1,6,2,3,8,4,7,5] => [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)
[5,8,1,4,7,2,3,6] => [1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,8,7,3,2] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,7,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,1,8,6,5,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,7,1,5] => [1,5,2,7,3,8,4,6] => [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)
[5,3,7,1,6,8,2,4] => [1,6,8,2,4,3,7,5] => [1,8,4,2,7,6,3,5] => ([(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)
[4,3,8,5,6,7,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,6,2,4,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,7,8,5,3] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,8,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,1,4,6,2] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,6,7,2,3] => [1,4,6,7,2,3,5,8] => [1,7,2,4,3,6,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,7,2,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,2,8,5,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,1,4,5,2] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,1,2,6] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,1,5,6,2] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,8,7,3,2,4] => [1,8,2,4,3,5,6,7] => [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)
[5,4,2,7,3,6,8,1] => [1,2,7,3,6,8,4,5] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => [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)
[8,5,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,3,4,7,5,1] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,4,3,5,8,1] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,5,2,8,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,4,8,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,1,8,2,7] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,6,5,4,2,7,3,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,8,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,8,3,4,7] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,8,2,7] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[6,5,8,4,2,7,3,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,2,5,7,4,1] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,2,6,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,8,3,1,7,2,5,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,7,5,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[8,7,5,2,6,4,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,5,4,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,3,2,5,4] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,7,4,5,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,5,7,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,3,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,8,4,2,6] => [1,5,8,2,6,3,7,4] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,8,4,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,4,5,2,6] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[7,6,1,8,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(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] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,3,5,4,6] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,8,4,3,5] => [1,8,2,6,3,5,4,7] => [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)
[8,2,6,1,7,3,5,4] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,7,5,6,2] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,8,3,6,7] => [1,5,8,2,3,6,7,4] => [1,8,2,7,5,3,6,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,1,8,3,6] => [1,8,2,7,3,6,4,5] => [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)
[4,7,5,6,8,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[6,5,4,8,2,7,3,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,7,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,1,8,7,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[5,1,8,3,7,6,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[5,4,8,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[7,5,8,3,2,6,4,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[3,6,8,2,4,7,5,1] => [1,2,4,7,3,6,8,5] => [1,2,7,4,8,3,6,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,3,8,2,6,4,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,8,7,3,4,1] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,6,3,5,1] => [1,2,8,3,5,4,7,6] => [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)
[3,6,8,1,7,2,5,4] => [1,7,2,5,3,6,8,4] => [1,7,5,8,2,3,6,4] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,8,7,4,5,6,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,2,8,6,4,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,7,6,3,5,4,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,2,4,3] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,3,2,4] => [1,8,2,4,3,5,6,7] => [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)
[1,2,8,7,6,3,4,5] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,8,3,7,6,2,4] => [1,5,8,2,4,3,7,6] => [1,8,4,2,5,7,3,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,4,2,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[6,8,7,2,5,4,3,1] => [1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[3,8,7,6,4,5,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,8,7,6,5,3,4,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,8,6,7,3,5,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[3,8,6,7,4,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,8,6,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,7,4,6,2,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,3,6,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,4,5,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[6,8,3,7,4,5,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,8,3,7,4,6,1,2] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,5,6,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,5,6,1,2] => [1,2,3,8,4,7,5,6] => [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)
[4,7,2,8,5,6,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,5,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,5,6,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[3,7,2,8,5,6,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,5,6,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,5,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,7,4,6,1,3] => [1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,4,5,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,5,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[7,8,1,6,4,5,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,4,5,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,4,6,2,3] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,5,6,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,8,5,6,2,4] => [1,7,2,4,3,8,5,6] => [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)
[2,8,5,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,8,5,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,7,3,8,4,6,2,5] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[4,8,1,7,3,6,2,5] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,7,3,6,2,4] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,3,5,1,4] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,5,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,3,6,1,4] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,6,1,5] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,4,6,1,5] => [1,5,2,7,3,8,4,6] => [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)
[3,7,2,8,4,6,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[3,7,1,8,4,6,2,5] => [1,8,2,5,3,7,4,6] => [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)
[1,8,4,7,3,6,2,5] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[2,8,4,7,3,6,1,5] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,5,7,2,6,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,7,2,6,1,4] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,5,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,6,2,4] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,3,5,2,4] => [1,8,2,4,3,5,6,7] => [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)
[2,8,6,7,3,5,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,5,1,4] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,8,6,7,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[5,8,6,7,2,4,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[6,8,5,7,1,4,2,3] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,8,6,7,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[4,8,6,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,8,6,7,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,5,2,8,6,7,3,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(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] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,5,7,3,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,5,7,3,4] => [1,6,2,8,3,4,5,7] => [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)
[3,8,5,7,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,4,7,1,5,2,3] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,6,1,5,2,3] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,8,3,6,1,5,2,4] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,1,5,2,4] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,6,2,5] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,6,2,5] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,2,8,4,7,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,8,4,7,3,5] => [1,8,2,6,3,5,4,7] => [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)
[3,7,2,6,1,8,4,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[3,7,1,6,2,8,4,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[4,8,1,6,2,7,3,5] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[5,8,1,6,2,7,3,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,5,2,6,3,4] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,6,3,4] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,1,7,3,4] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,1,7,3,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,1,7,3,5] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,8,4,5] => [1,7,2,8,3,6,4,5] => [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)
[2,7,3,6,1,8,4,5] => [1,8,2,7,3,6,4,5] => [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)
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => ([(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => ([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => ([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => ([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => ([(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)
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => ([(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => ([(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => ([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => ([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => ([(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,5,6,7,8,9,2] => [1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => ([(6,8),(7,8)],9)
[1,2,4,5,6,7,8,9,10,3] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => ([(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)
[3,2,4,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => ([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,9,10,2] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => ([(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)
[6,7,4,8,3,5,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[6,7,4,5,2,8,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,4,6,2,3,1,8] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,8,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,3,6,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,5,3,7,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,8,4,6,3,7,1,2] => [1,2,3,7,4,6,5,8] => [1,2,3,7,6,4,5,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,3,7,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,2,4,1,8] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[5,6,3,7,2,8,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,2,7,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,7,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,2,7,1,3] => [1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,2,7,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[6,8,4,5,2,3,1,7] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,4,6,2,3,1,7] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,3,1,7] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,2,4,1,7] => [1,7,2,4,3,8,5,6] => [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)
[5,6,3,4,2,8,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,6,3,5,2,7,1,8] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[4,6,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[4,8,3,6,2,5,1,7] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,6,2,4,1,7] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,6,1,4] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,7,1,5] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => [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)
[4,6,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[4,7,3,6,2,5,1,8] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[4,7,3,6,2,8,1,5] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,6,1,5] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,4,8,2,6,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,4,1,8] => [1,8,2,4,3,5,6,7] => [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)
[6,7,3,5,2,8,1,4] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[6,7,5,8,2,4,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[6,8,5,7,2,3,1,4] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[6,7,4,8,2,3,1,5] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,3,8,2,4,1,5] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,7,3,4,2,8,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,2,6,1,8] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,1,6] => [1,6,2,8,3,4,5,7] => [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)
[5,7,4,8,2,3,1,6] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,2,3,1,6] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,4,7,2,3,1,5] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,6,2,3,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[7,8,3,6,2,4,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,4,1,5] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,4,1,6] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,5,1,6] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,5,1,6] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,3,5,2,8,1,6] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,3,5,2,6,1,8] => [1,8,2,6,3,5,4,7] => [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)
[4,5,3,7,2,6,1,8] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,5,3,7,2,8,1,6] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[4,5,3,8,2,7,1,6] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[4,8,3,5,2,7,1,6] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[5,8,3,4,2,7,1,6] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,7,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,2,6,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,5,1,7] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,6,1,7] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(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] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(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] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,5,3,6,2,8,1,7] => [1,7,2,8,3,6,4,5] => [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)
[4,7,5,2,1,8,3,6] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,2,1,7,6,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,1,3,7,6,2] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,5,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => [1,8,3,6,7,2,4,5] => ([(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)
[6,4,8,1,7,5,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,7,2,1,3,4] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,2,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[8,4,6,3,7,2,1,5] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,7,4,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,8,7,4,3,5] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,4,5,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,4,5,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,8,5,2,4,3,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[5,7,8,6,2,3,1,4] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,8,7,6,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,3,2,4,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[5,8,4,2,3,7,6,1] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,5,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[4,8,6,2,7,3,1,5] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,1,8,7,4,2,5] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[3,7,1,8,6,4,5,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[3,8,1,6,7,5,2,4] => [1,6,7,2,4,3,8,5] => [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)
[3,7,1,6,8,2,5,4] => [1,6,8,2,5,3,7,4] => [1,8,5,7,2,6,3,4] => ([(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),(5,7),(6,7)],8)
[4,7,6,2,8,1,3,5] => [1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,7,4,2,8,1,5,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,2,7,5,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,8,6,7,5,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,6,7,5,1,4] => [1,4,2,6,7,3,5,8] => [1,4,7,2,3,6,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,3,7,5,1,2] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,8,6,7,3,1,2,4] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[6,7,5,8,1,3,4,2] => [1,3,4,2,5,8,6,7] => [1,4,3,2,5,8,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,6,5,7,4,1,3,2] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[7,6,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,8,3,5,4] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,1,4,2,3] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[6,5,7,8,1,2,4,3] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[5,2,8,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,4,7,3,8] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,7,5,4,8,3,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,5,4,7,6,2] => [1,3,5,2,4,7,6,8] => [1,5,3,2,4,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,3,8,7,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,3,4,5,7,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,4,8,6,2] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[7,1,4,3,5,6,8,2] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[8,1,3,4,5,6,7,2] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,6,3,8] => [1,7,2,4,5,6,3,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,4,7,2,5,6,1,3] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,3,7,6] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,5,2,8,4,1,3,7] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[3,6,1,8,5,2,4,7] => [1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => ([(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)
[1,2,6,3,5,4,7,8] => [1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,3,2,4,7] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,4,7,6] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,5,8,3,1,6,4] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,8,5,7,4] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,5,8,4] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[7,2,1,3,8,6,4,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,1,8,4,6] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[5,8,2,4,1,3,7,6] => [1,3,7,2,4,5,8,6] => [1,7,3,2,4,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,2,6,3,4,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,6,4,2,7,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,1,6,7,4,3,2,5] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,4,1,6] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,7,8,5,6] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,6,4,7,5] => [1,3,6,2,8,4,7,5] => [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)
[6,8,2,3,4,1,5,7] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,2,4,6,7] => [1,8,2,4,6,7,3,5] => [1,8,7,2,3,4,6,5] => ([(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)
[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] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[8,7,6,5,9,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => ([(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,9,3,2,1] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => ([(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,9,2,1] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[8,6,7,9,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => ([(7,9),(8,9)],10)
[8,7,5,6,9,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => ([(6,9),(7,9),(8,9)],10)
[8,7,6,4,5,9,3,2,1] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => ([(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => ([(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,3,4,9,2,1] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => ([(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,10,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,4,2,3,9,1] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,10,2,1] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,4,3,1,2,9] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,2,10,1] => [1,2,10,3,4,5,6,7,8,9] => [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)
[9,8,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [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)
[1,4,2,7,8,6,3,5] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,4,7,5,3,8] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[1,7,3,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,2,5,7,8,6,1,3] => [1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,3,1,8,5,6,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,5,1,7,3,4,6] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,3,4,7,5] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(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] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[1,3,6,4,8,5,7,2] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,7,5,8,2] => [1,3,6,2,4,7,5,8] => [1,6,3,2,7,4,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,7,5,8,1,3] => [1,3,2,4,7,5,8,6] => [1,3,2,4,7,8,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,7,8,4,5] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,1,4,3,5,6] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[7,6,4,2,3,1,8,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,3,1,6,8,4] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,6,8,1,3] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,6,7,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[5,2,6,3,1,8,7,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,3,1,7,5] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,3,5,6] => [1,3,5,6,2,7,4,8] => [1,6,3,7,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,1,3,2,5,7] => [1,3,2,5,7,4,6,8] => [1,3,2,7,5,4,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,2,4,7,5] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[5,3,8,1,2,7,4,6] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[5,1,8,3,2,6,4,7] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[5,7,3,1,2,6,4,8] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,2,6,3,8] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[1,5,8,4,2,7,3,6] => [1,5,8,2,7,3,6,4] => [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)
[5,3,1,6,7,2,4,8] => [1,6,7,2,4,8,3,5] => [1,7,8,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,2,7,8,4,5] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[1,7,4,5,3,8,6,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,2,7,5,8] => [1,4,2,7,3,5,8,6] => [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)
[1,8,3,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [1,8,7,2,4,5,6,3] => ([(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)
[8,6,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,7,1,4] => [1,4,2,6,7,3,5,8] => [1,4,7,2,3,6,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,3,6,7,1,8,4] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[6,2,3,4,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,2,5,7] => [1,4,2,5,7,3,6,8] => [1,4,7,2,5,3,6,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,6,5,2,4,7] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,8,7,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,5,3,7] => [1,2,4,6,3,7,5,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,2,5,4,6,3,7] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,6,2,5,4,7] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(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] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,6,5,4,3,7] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,2,8,3,6] => [1,7,2,8,3,6,4,5] => [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)
[5,1,4,8,2,7,3,6] => [1,4,8,2,7,3,6,5] => [1,8,7,4,6,3,2,5] => ([(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)
[1,4,7,6,2,8,3,5] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[5,1,4,7,2,8,3,6] => [1,4,7,2,8,3,6,5] => [1,7,8,4,6,3,2,5] => ([(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)
[1,7,4,5,2,8,3,6] => [1,7,2,8,3,6,4,5] => [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)
[3,7,5,1,2,8,4,6] => [1,2,8,3,7,4,6,5] => [1,2,8,7,6,4,3,5] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,2,7,3,6] => [1,5,8,2,7,3,6,4] => [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)
[1,4,6,2,8,7,3,5] => [1,4,6,2,8,3,5,7] => [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)
[1,4,2,8,6,7,3,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,6,4,8,7,5] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,3,4,8,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,8,5,7,4] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,8,3,6] => [1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,6,8,3,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,8,7,3,5] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,8,4,6,7,5] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,4,8,5] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,8,3,6,5] => [1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,4,7,6] => [1,3,4,7,2,8,5,6] => [1,7,3,4,8,5,2,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,3,4,7,5] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(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] => [1,4,2,6,8,3,7,5] => [1,4,8,2,7,6,3,5] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,8,5,6,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,8,6,4] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,3,8,6,5] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,1,7,8,3,4,6,5] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,5,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,1,2,3,4,10,5,6,7,8] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,1,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,8,9] => [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)
[10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => ([],11)
[10,1,2,3,4,5,6,7,8,11,9] => [1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => ([(8,10),(9,10)],11)
[11,10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => ([],11)
[4,7,8,5,6,2,1,3] => [1,3,2,4,7,8,5,6] => [1,3,2,4,8,5,7,6] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[6,7,8,4,2,5,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[8,6,3,7,2,1,5,4] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,3,2,1,5,4] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[5,7,8,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,4,3,5,6,1] => [1,2,7,8,3,5,6,4] => [1,2,8,6,3,5,7,4] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,2,1,4,6] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,2,1,4,5] => [1,4,5,2,3,8,6,7] => [1,5,2,4,3,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,6,3,7,2,1,4,5] => [1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,5,1,7] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,7,2,5,1,8] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[8,4,3,2,1,6,5,7] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,2,1,7,5,8] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,2,8,6,1,7] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[6,4,3,2,1,8,5,7] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,8,5,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,7,5,6] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,7,6,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,2,1,8,6,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,2,1,8,7,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => [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)
[8,5,4,2,7,6,1,3] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,4,2,8,6,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,2,8,7,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,5,8,7,2,1,3] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[2,6,5,7,8,3,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[6,5,4,2,7,8,1,3] => [1,3,2,7,8,4,5,6] => [1,3,2,8,4,5,7,6] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,6,7,1,3] => [1,3,2,6,7,4,5,8] => [1,3,2,7,4,6,5,8] => ([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,1,8,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,6,3,7,2,1,8,5] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[3,6,4,7,2,8,1,5] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,3,8,5,1] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,8,1,6] => [1,6,2,7,8,3,5,4] => [1,6,8,5,3,2,7,4] => ([(1,5),(1,7),(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)
[4,5,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,4,3,2,1,6,8,5] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,6,7,5] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,5,7,6] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,5,8,6] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,5,8,7] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,8,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,3,7,2,6,4,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,2,6,3,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[2,1,7,8,5,6,3,4] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,5,1,4,2] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,7,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,2,6,4,8,5,1,7] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,5,2,4,1,7,6,8] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,3,6,8] => [1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => ([(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)
[4,5,2,3,7,1,6,8] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[3,1,5,4,2,8,6,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,8,2,6,7] => [1,5,2,6,7,3,8,4] => [1,5,7,8,2,6,3,4] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,8,3,2,6,7] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[4,7,3,5,2,1,6,8] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,5,1,7,8] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[4,6,3,2,5,1,7,8] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,2,5,8] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,2,7,6,8] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,1,4,3,7,8,6] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,3,1,4,2,7,6,8] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,3,1,5,2,7,8] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [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)
[6,3,4,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,4,1,3,7,8,5] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,7,5,8] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,1,4,7,8] => [1,4,7,8,2,3,6,5] => [1,8,2,4,6,3,7,5] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,3,1,5,8] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,7,3,5,8] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,6,1,8] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[7,2,1,4,6,3,8,5] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,1,5,7,4,8] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,5,3,7,8] => [1,5,2,6,3,7,8,4] => [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)
[7,4,1,5,6,2,3,8] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,5,3,6,8,4] => [1,5,2,3,6,8,4,7] => [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)
[6,3,5,1,2,7,4,8] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,1,3,7,8] => [1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => ([(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)
[3,6,5,1,2,7,4,8] => [1,2,7,3,6,4,8,5] => [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)
[6,5,3,1,4,7,2,8] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[2,3,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,3,7,6] => [1,5,8,2,4,3,7,6] => [1,8,4,2,5,7,3,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,8,7,6] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,4,5,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,5,1,8,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,8,4,5,3,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,4,5,8,2,1,7,6] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,4,6,2,1,7,8,5] => [1,7,8,2,3,4,6,5] => [1,8,2,3,6,4,7,5] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,1,7,5,8] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[3,5,6,2,7,1,8,4] => [1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => ([(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),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,8,1,4] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,8,2,7,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,6,3,7,1,5] => [1,5,2,4,8,3,7,6] => [1,5,8,2,4,7,3,6] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,4,6,3,7,2,5] => [1,8,2,5,3,7,4,6] => [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)
[1,8,4,6,3,7,5,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[3,4,6,2,8,7,5,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,8,4,1] => [1,2,7,8,3,5,6,4] => [1,2,8,6,3,5,7,4] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,4,1,8] => [1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => ([(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),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,8,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,2,4,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[2,5,8,6,7,3,4,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,3,4,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,3,2,4] => [1,8,2,4,3,5,6,7] => [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)
[3,5,6,8,7,2,1,4] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,5,6,7,2,1,8,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,1,8,7,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,8,7,3,5] => [1,6,8,2,4,3,5,7] => [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)
[2,3,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,1,6,7,8,4,3] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[2,5,1,6,7,4,8,3] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,4,8,2] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,7,5,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,2,7,5,3] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[1,8,5,6,7,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[3,5,6,8,7,1,4,2] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,5,6,7,8,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[4,5,6,7,1,3,8,2] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,3,2,8] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,1,8,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,4,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,4,1,3] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,4,3,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,7,1,6,4] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,1,6,5] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,7,1,6] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,1,8,3,7] => [1,8,2,5,6,3,7,4] => [1,8,6,7,2,5,3,4] => ([(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)
[6,1,5,7,3,2,4,8] => [1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => ([(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)
[6,1,5,8,3,2,4,7] => [1,5,8,2,4,7,3,6] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,7,1,8,2] => [1,8,2,3,5,6,7,4] => [1,8,2,7,3,5,6,4] => ([(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)
[3,2,5,1,7,4,6,8] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,4,6,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,8,4,6] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,8,3,2,4] => [1,5,7,8,2,4,3,6] => [1,8,4,2,5,3,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,1,7,8,3] => [1,7,8,2,5,6,3,4] => [1,8,6,3,2,5,7,4] => ([(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)
[5,7,6,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,7,3,4,2] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,7,3,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,7,4,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,7,8] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,7,5,6] => [1,8,2,4,3,5,6,7] => [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)
[3,8,6,5,1,7,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,5,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,5,1,7,8,4,2,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,7,8,4] => [1,6,7,8,2,5,3,4] => [1,8,5,3,2,6,7,4] => ([(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)
[3,2,4,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [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)
[3,2,4,1,7,5,6,8] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => [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)
[3,2,4,1,8,5,7,6] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,2,4,7,6,1,5] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,1,8,4,7,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[3,2,5,1,6,7,4,8] => [1,6,7,2,5,3,4,8] => [1,7,5,3,2,6,4,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,4,2,3,8] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,8,4,2,3,7] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,2,6,1,8,3,7,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[5,2,6,1,8,3,7,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[8,4,6,1,7,3,5,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,8,4,7,3] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[7,4,2,3,8,5,1,6] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,6,4,2,3,8] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,1,7,6,4,8] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,6,4,7] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[7,3,2,4,8,6,1,5] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,5,7,3,2,4] => [1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,7,3,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,1,6,7,4,2,3] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,6,7,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,6,5,7] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,1,5,8,6,7] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,8,5,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,1,8,6,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,7,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,5,1,8,7,6,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,1,8,4,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,1,8,5,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[4,6,3,7,5,1,8,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[4,2,6,1,7,5,3,8] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[2,5,7,4,1,6,3,8] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[5,4,7,3,6,1,8,2] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,5,1,8,6,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,4,3,8,5,1,7,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,3,6,1,7,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,1,8,2] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[2,5,4,6,1,7,3,8] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[2,5,4,6,8,1,7,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,5,7,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,8,6,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,3,8,6] => [1,7,2,4,3,8,5,6] => [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)
[2,6,4,1,8,5,3,7] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[5,4,8,2,1,6,3,7] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,8,4,1,6,3,7] => [1,6,2,5,8,3,7,4] => [1,6,8,7,2,5,3,4] => ([(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)
[3,5,2,8,1,6,4,7] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,1,6,8,5,4,7] => [1,6,8,2,3,4,7,5] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,5,4,8,6] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,7,1,5,8,6,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[4,8,3,2,6,7,1,5] => [1,5,2,6,7,3,4,8] => [1,5,7,3,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,8,2,6,7,1,5] => [1,5,2,6,7,3,8,4] => [1,5,7,8,2,6,3,4] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,7,8,1,5] => [1,5,2,6,7,8,3,4] => [1,5,8,3,2,6,7,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,2,6,7,1,5,8] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[4,3,7,2,6,8,1,5] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[4,3,7,8,2,6,1,5] => [1,5,2,6,3,7,8,4] => [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)
[2,5,7,4,8,1,6,3] => [1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,7,8,1,6,4] => [1,6,2,5,7,8,3,4] => [1,6,8,3,2,5,7,4] => ([(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)
[3,2,5,7,1,6,4,8] => [1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,7,1,5,4,8] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,5,8,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[6,3,2,7,8,1,5,4] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,8,6,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,8,5,3,7,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,3,2,7,1,4,8,5] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[6,3,2,1,4,7,5,8] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,7,4,6,8] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,3,7,5] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[2,4,1,7,3,8,6,5] => [1,7,2,4,3,8,5,6] => [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)
[3,2,7,1,4,8,6,5] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[3,5,8,2,1,7,4,6] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,7,2,1,5,6] => [1,5,6,2,3,7,4,8] => [1,6,2,7,5,3,4,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,8,1,5,6] => [1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => ([(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)
[4,3,7,2,1,5,6,8] => [1,5,6,8,2,3,7,4] => [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)
[3,5,2,8,1,7,4,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[6,3,2,8,1,4,7,5] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[3,2,1,4,7,5,8,6] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,8,2,1,5,6,7] => [1,5,6,7,2,3,8,4] => [1,7,2,8,5,6,3,4] => ([(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)
[1,9,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,4,5,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,8,7,5,6,4,3,2] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(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] => [1,10,2,3,4,5,6,7,8,9] => [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)
[10,9,8,7,6,5,4,3,2,1,11] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[9,8,7,5,6,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [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)
[1,10,9,8,6,7,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [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)
[1,11,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[6,2,3,1,5,4,8,7] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,4,5,2,3,1,7,6] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,2,5,3,4,1] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[8,2,5,3,4,1,7,6] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,4,1,8,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,3,8,7] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,4,5,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,3,4,2,8,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,4,1,7,6] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,6,2,4,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,7,2,4,1,6,5] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,4,2,7,6] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,7,6] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,3,2,7,6] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,8,4,5,3,7,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,6,7,4,5,1,3,2] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,6,7,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[8,3,7,5,6,1,4,2] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,7,3,6,1,4,2] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,7,4,6,2,5,1] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,6,1,5,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,3,6,4,5,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(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] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,4,7,5,6,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,2,6,5] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,2,5,4] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,1,6,2,5,4] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,4,5,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,3,6,4,5,1] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(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] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,3,5,4] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[8,1,7,2,4,3,6,5] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(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] => [1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,4,6,5] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[8,1,5,2,4,3,7,6] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,3,6,5] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,1,6,5] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,6,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,5,6,2,3,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[8,4,7,2,3,1,6,5] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,3,1,7,4,6,5] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,5,4,7,6] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,6,7,5] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,2,3,1,5,4] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,2,3,1,7,5,6,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,2,6,3,4,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,5,7,2,6,1,4,3] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,6,1,4,3] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,7,2,5,1,4,3] => [1,4,2,5,3,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[2,1,8,6,7,3,5,4] => [1,8,2,3,5,4,6,7] => [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)
[2,1,8,3,7,5,6,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,1,3,2,7,5,6,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,1,7,5,6,2,4,3] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,4,5,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,4,5,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,3,5,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,2,4,3] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,3,6,4] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,6,1,3,2] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8)
[8,5,7,1,6,3,4,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,4,6,3,5,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,3,5,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,1,5,2] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,2,7,4] => [1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,6,3,2,7,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,8,7,3,1,2,4] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[1,5,8,7,3,6,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,4,1,5,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,8,4,5,7,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,4,5,7,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,1,5,7,3] => [1,5,7,2,8,3,4,6] => [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)
[6,3,1,8,4,5,7,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,8,4,5,7,2] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,8,4,5,7,1] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,8,4,1,5,2] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,8,4,6,5,2] => [1,3,7,8,2,4,6,5] => [1,8,3,2,6,4,7,5] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,8,2,4,6,3] => [1,5,7,8,2,4,6,3] => [1,8,6,2,5,4,7,3] => ([(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)
[3,6,7,8,4,2,5,1] => [1,2,5,3,6,7,8,4] => [1,2,5,8,3,6,7,4] => ([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,4,2,5,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(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] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[2,8,3,7,1,6,5,4] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[5,2,8,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,4,6,5,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,4,6,5,1] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,8,1,4,6,3] => [1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => ([(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)
[1,2,7,8,5,4,6,3] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,5,8,3,4,6,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,5,4,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,4,8,5,2,3,1,7] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,6,8,4,3,5,1] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,8,3,4,6,2] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,8,1,4,6,2] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,7,5,8,3,4,6,2] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,5,1,3,2,7] => [1,3,2,7,4,6,8,5] => [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)
[5,6,8,1,4,3,2,7] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[2,8,4,1,5,6,3,7] => [1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => ([(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)
[4,1,8,3,5,6,2,7] => [1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => ([(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),(5,6),(5,7),(6,7)],8)
[5,6,8,4,1,3,2,7] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,6,8,1,5,3,2,7] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,1,8,5,4,6,2] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[2,7,3,8,4,6,5,1] => [1,2,7,3,8,4,6,5] => [1,2,7,8,6,4,3,5] => ([(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)
[7,1,3,8,4,6,5,2] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[2,8,7,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => [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)
[6,5,8,4,2,3,1,7] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,2,8,5,6,7] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,3,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,8,5,4,6,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,2,5,3,1,7] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,3,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,2,3,8,5,4,6,1] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,4,8,6,7] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,8,1,5,3,4,7,6] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,4,5,3,7,6] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,4,3,6,7] => [1,5,2,8,3,6,7,4] => [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)
[1,2,8,5,4,3,6,7] => [1,2,8,3,6,7,4,5] => [1,2,8,7,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,3,8,6,7] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,4,8,5,3,7,6] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,4,8,5,3,6] => [1,2,7,3,6,4,8,5] => [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)
[5,1,2,7,4,8,3,6] => [1,2,7,3,6,4,8,5] => [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)
[2,8,1,5,4,7,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,5,7,4,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,3,7,6,5] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,7,4,3,5] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,1,7,2,5] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,6,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,2,8,4,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,7,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,1,4,8,2,5] => [1,4,8,2,5,3,7,6] => [1,8,5,4,2,7,3,6] => ([(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)
[7,1,2,8,5,3,4,6] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,4,5,3,6] => [1,7,2,8,3,6,4,5] => [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)
[1,4,2,7,8,5,3,6] => [1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,4,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,3,7,5] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[6,7,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,7,3,5,8,4,6] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,8,3,4,6] => [1,2,7,3,4,6,5,8] => [1,2,7,3,6,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,7,3,4,6] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,8,3,7,4,6] => [1,2,5,8,3,7,4,6] => [1,2,8,7,5,4,3,6] => ([(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)
[2,8,1,7,3,5,4,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[4,2,8,1,7,3,6,5] => [1,7,2,8,3,6,4,5] => [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)
[2,8,1,7,4,3,6,5] => [1,7,2,8,3,6,4,5] => [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)
[7,1,2,8,4,3,6,5] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,4,5,3,6] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,4,7,2,5] => [1,4,7,2,5,3,8,6] => [1,7,5,4,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,2,7,3,5] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,6,2,7,4,3,5] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[7,1,2,8,6,4,3,5] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,6,3,5] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,1,6,2,5] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,1,6,2,5] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,1,7,6,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[2,8,1,7,6,4,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[7,8,3,4,1,5,2,6] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,1,6,2,5] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,7,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,4,1,8,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,1,8,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,7,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,1,6,2,7] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,1,5,2,7] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,4,1,5,2,8] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,1,6,2,8] => [1,6,2,8,3,4,5,7] => [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)
[5,6,2,8,3,4,1,7] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,6,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[4,6,2,8,3,5,1,7] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[4,7,3,5,1,6,2,8] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,3,5,1,6,2,7] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[4,8,3,5,1,7,2,6] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,1,8,2,6] => [1,8,2,6,3,5,4,7] => [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)
[5,6,2,3,1,7,4,8] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,4,1,8,3,7] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[5,6,2,4,1,7,3,8] => [1,7,2,4,3,8,5,6] => [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)
[4,6,2,5,1,7,3,8] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[4,6,2,5,1,8,3,7] => [1,8,2,5,3,7,4,6] => [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)
[4,5,1,8,3,7,2,6] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[4,5,1,7,3,8,2,6] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,6,2,7,3,8,1,5] => [1,5,2,7,3,8,4,6] => [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)
[5,6,2,7,3,8,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,4,7,1,2] => [1,2,3,8,4,7,5,6] => [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)
[5,6,2,8,4,7,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,3,7,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[4,5,1,7,3,6,2,8] => [1,7,2,8,3,6,4,5] => [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)
[4,5,1,8,3,6,2,7] => [1,8,2,7,3,6,4,5] => [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)
[4,2,3,5,6,7,8,9,1] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => ([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[3,2,4,5,6,7,8,9,10,1] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => ([(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)
[2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => ([],11)
[6,5,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,1,8,7] => [1,8,2,3,5,4,6,7] => [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)
[8,7,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,5,7,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,3,6,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[2,8,7,4,3,6,1,5] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,3,6,2,5] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,7,3,5,1,4,2,6] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,8,5,7,4,3] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,6,3,1] => [1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,1,5,6,7,2] => [1,5,6,7,2,3,8,4] => [1,7,2,8,5,6,3,4] => ([(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)
[4,8,1,3,5,6,7,2] => [1,3,5,6,7,2,4,8] => [1,7,3,2,5,6,4,8] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,1,6,3,2] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,3,6,1,4,7,2] => [1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,1,2,7,5] => [1,2,7,3,6,4,8,5] => [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)
[3,8,7,4,1,6,2,5] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,8,1,2,5,6,7,4] => [1,2,5,6,7,3,8,4] => [1,2,7,8,5,6,3,4] => ([(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)
[8,7,1,4,2,6,3,5] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,1,2,4,7,5] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,2,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,7,4,5,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,1,6,3,5] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,1,4,7,5] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,2,1,4,6] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,2,1,7,4] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(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] => [1,3,2,6,8,4,5,7] => [1,3,2,8,4,6,5,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,7,2,3] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,1,7,2,4] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,8,3,6,7,4] => [1,5,8,2,3,6,7,4] => [1,8,2,7,5,3,6,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,6,1,2,7,4] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,2,5,6,7,3] => [1,8,2,5,6,7,3,4] => [1,8,7,3,2,5,6,4] => ([(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)
[5,8,1,4,7,6,2,3] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,3,1,6,2,7,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,6,1,7,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,9,10,1,2,3,4,6] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => ([(8,9)],10)
[7,8,9,10,11,12,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => ([],12)
[4,5,7,6,2,3,8,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,3,6,8,4,2] => [1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => ([(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)
[8,4,3,7,6,1,5,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,3,5,4,8,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,2,7,3,6,4,8,1] => [1,2,7,3,6,4,8,5] => [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)
[8,3,4,7,6,1,5,2] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,2,4,7,1,6,5,3] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,7,6,8,5,2] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,7,6,8,5,2] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,8,7,3,6,1,4,2] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[4,8,3,7,6,1,5,2] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,4,7,6,1,5,2] => [1,5,2,3,8,4,7,6] => [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)
[2,8,4,7,1,6,5,3] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,6,5,4] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,8,3,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[3,8,2,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,8,5,4,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,3,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,2,7,8,6,5,3] => [1,4,2,7,8,3,5,6] => [1,4,8,2,3,5,7,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,7,1,6,5,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,5,7,2,8,6,4,3] => [1,5,7,2,8,3,4,6] => [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)
[2,5,7,1,8,6,4,3] => [1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => ([(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)
[3,5,7,1,6,8,4,2] => [1,6,8,2,3,5,7,4] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,5,8,1,3,2] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[2,5,7,8,1,6,4,3] => [1,6,2,5,7,8,3,4] => [1,6,8,3,2,5,7,4] => ([(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)
[1,5,7,8,2,6,4,3] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[8,5,7,1,2,6,4,3] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,4,1,7,2,6,5,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,1,5,2] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,3,8,7,6,1,5,2] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,8,6,1,4,2] => [1,4,2,3,7,8,5,6] => [1,4,2,3,8,5,7,6] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,7,2,8,1,5,4,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,8,1,6,4,3] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[4,2,8,7,1,6,5,3] => [1,6,2,8,3,4,5,7] => [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)
[3,2,8,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[8,3,1,2,7,6,5,4] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,2,1,3,7,6,5,4] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,6,5,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,6,5,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,1,8,7,2,6,5,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,4,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,1,2,6,4,3] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,8,1,7,2,6,5,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,8,1,2,7,6,5,4] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,3,7,6,5,4] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[1,8,2,3,7,6,5,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,1,2,3,7,6,5,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[6,7,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,5,8,2,6,4] => [1,5,8,2,6,3,7,4] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,8,3,6,4] => [1,5,8,2,7,3,6,4] => [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)
[2,6,5,1,8,3,7,4] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[3,6,5,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [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)
[4,6,5,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,5,7,6,2,3] => [1,4,5,7,2,3,6,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,1,8,2,7,4] => [1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => ([(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),(5,6),(5,7),(6,7)],8)
[2,5,6,1,8,3,7,4] => [1,8,2,5,6,3,7,4] => [1,8,6,7,2,5,3,4] => ([(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)
[2,4,6,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [1,8,3,2,6,4,5,7] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [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)
[8,1,3,5,7,2,6,4] => [1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,8,3,6,4] => [1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,8,3,7,4] => [1,8,2,5,3,7,4,6] => [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)
[2,3,6,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,3,8,6,5] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,1,2,4,3,7,6,5] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[7,3,1,4,2,8,6,5] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,3,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,4,3,8,6,5] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,4,2,8,6,5] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,3,2,8,6,5] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,3,5,4] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,3,8,6,5] => [1,2,3,8,4,7,5,6] => [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)
[3,7,1,2,4,8,6,5] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,3,7,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,5,2,1,8,3,7,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[8,1,5,2,7,3,6,4] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,3,7,6,5] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8)
[7,4,1,2,3,8,6,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [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)
[6,3,2,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,8,6,5] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,7,6,5] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[7,2,1,3,4,8,6,5] => [1,3,4,8,2,5,6,7] => [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)
[6,2,3,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,1,5,8,7] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,8,1,7] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,6,3,5,8,1,7] => [1,7,2,4,6,3,5,8] => [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)
[2,4,6,3,5,1,8,7] => [1,8,2,4,6,3,5,7] => [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)
[2,4,1,6,5,3,8,7] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,2,6,5,3,1,8,7] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,1,8,7,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,8,1,7,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,8,3,1,7] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,5,8,3,7] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,8,3,7] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,6,5,8,7,3] => [1,6,2,4,3,5,8,7] => [1,6,4,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,3,8,7,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,8,3,7,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,3,8,7,1,5] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,4,3,8,7,5,1] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,6,1,8,5,7,3] => [1,8,2,4,6,3,5,7] => [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)
[2,4,1,6,8,5,7,3] => [1,6,8,2,4,3,5,7] => [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)
[2,1,4,6,8,5,7,3] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,4,6,8,5,3,7] => [1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => ([(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)
[2,4,1,6,8,5,3,7] => [1,6,8,2,4,3,7,5] => [1,8,4,2,7,6,3,5] => ([(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)
[2,4,6,8,1,5,3,7] => [1,5,2,4,6,8,3,7] => [1,5,8,2,4,6,3,7] => ([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,6,8,3,5,7,1] => [1,2,4,6,8,3,5,7] => [1,2,8,4,3,6,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,6,3,1,8,5,7] => [1,8,2,4,6,3,5,7] => [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)
[2,4,3,6,8,1,5,7] => [1,5,7,2,4,3,6,8] => [1,7,4,2,5,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,1,8,5,7] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,4,3,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => [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)
[2,4,3,6,1,8,7,5] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,5,2,8,7,3,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,2,8,7,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,8,7,1,3] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,5,8,7,3,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,1,8,7,5] => [1,8,2,4,6,3,5,7] => [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)
[2,4,1,6,3,8,7,5] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,1,4,6,3,8,7,5] => [1,4,6,2,3,8,5,7] => [1,6,2,4,8,3,5,7] => ([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,4,6,8,3,7,5] => [1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => ([(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)
[2,4,1,6,8,3,7,5] => [1,6,8,2,4,3,7,5] => [1,8,4,2,7,6,3,5] => ([(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)
[4,6,2,8,5,7,3,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,7,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,7,1,3,5] => [1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,5,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,8,1,7,5,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[2,6,4,1,8,7,5,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,8,7,5,3] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,4,8,7,3,5] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [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)
[2,6,4,8,1,7,3,5] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,5,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,8,7,3,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,8,7,3,1,5] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,7,3,8,2,5] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,2,4,7,3,6,8,1] => [1,2,4,7,3,6,8,5] => [1,2,7,4,8,3,6,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,6,3,4,8,2,5] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,3,4,8,2,5] => [1,7,2,5,3,4,8,6] => [1,7,5,3,2,8,4,6] => ([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,5,8,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,7,3,8,2,6] => [1,4,7,2,6,3,8,5] => [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)
[4,3,1,7,5,8,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => ([(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)
[6,8,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,3,8,2,4,5] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,5,8,2,7] => [1,5,8,2,7,3,6,4] => [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)
[2,6,1,4,5,8,3,7] => [1,4,5,8,2,6,3,7] => [1,8,6,4,5,2,3,7] => ([(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)
[1,6,2,4,8,3,5,7] => [1,6,2,4,8,3,5,7] => [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)
[1,5,3,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,8,6,7] => [1,8,2,3,5,4,6,7] => [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)
[1,6,4,8,7,2,3,5] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,7,1,5,6] => [1,5,6,2,8,3,4,7] => [1,6,8,3,5,2,4,7] => ([(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)
[5,2,4,8,7,1,3,6] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => ([(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)
[5,1,4,8,7,2,3,6] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,5,1,3,7,6] => [1,3,7,2,5,4,8,6] => [1,7,3,5,2,8,4,6] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,5,1,3,8,6] => [1,3,8,2,5,4,7,6] => [1,8,3,5,2,7,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,2,1,5,4,8,6] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,2,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => [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)
[8,3,2,1,5,4,6,7] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,3,2,1,6,4,5,7] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,5,1,6,3,7] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,6,5,7] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,5,7,6] => [1,4,5,7,2,3,8,6] => [1,7,2,4,5,8,3,6] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,4,6,7,5] => [1,4,6,7,2,8,3,5] => [1,7,8,4,3,6,2,5] => ([(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)
[3,2,8,1,4,7,6,5] => [1,4,7,2,8,3,5,6] => [1,7,8,4,3,5,2,6] => ([(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)
[3,8,2,1,5,7,4,6] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[4,8,2,5,1,7,3,6] => [1,7,2,5,3,6,4,8] => [1,7,5,6,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[3,2,1,7,5,8,6,4] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,6,1,8,3,5] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[4,3,7,6,8,1,2,5] => [1,2,5,3,7,4,6,8] => [1,2,5,7,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,6,7,1,2,5] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,2,8,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[3,2,1,8,7,5,6,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,2,1,7,4,5,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,1,6,4,7,5] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,8,6,1,3,7,5] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[4,2,8,7,1,3,6,5] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,8,3,4,1,2,6] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => ([(4,7),(5,7),(6,7)],8)
[4,2,7,8,1,3,6,5] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,1,8,4,7,5] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[3,7,2,1,8,4,5,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[3,7,2,1,8,5,4,6] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[4,7,3,8,5,1,2,6] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,6,1,2,5] => [1,2,5,3,7,8,4,6] => [1,2,5,8,3,4,7,6] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,7,1,8,6,4,5] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,2,1,6,8,5,7,4] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,8,7,4,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,7,1,2,5] => [1,2,5,3,6,8,4,7] => [1,2,5,8,3,6,4,7] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,6,7,1,8,3,5] => [1,8,2,6,7,3,5,4] => [1,8,7,5,3,2,6,4] => ([(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)
[3,4,6,8,7,5,1,2] => [1,2,3,4,6,8,5,7] => [1,2,3,4,8,6,5,7] => ([(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,8,7,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,8,5,3] => [1,4,6,2,7,8,3,5] => [1,6,8,4,3,2,7,5] => ([(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)
[1,2,7,5,4,8,6,3] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,4,8,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,8,5,1,2] => [1,2,3,6,7,8,4,5] => [1,2,3,8,4,6,7,5] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,6,8,5,4,7,1,2] => [1,2,3,6,8,4,7,5] => [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)
[6,8,3,5,4,7,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[7,6,3,5,4,8,1,2] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[1,6,2,5,4,8,7,3] => [1,6,2,5,3,4,8,7] => [1,6,5,3,2,4,8,7] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,4,8,7,3] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,6,2,8,7,5,3] => [1,6,2,8,3,4,5,7] => [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)
[7,8,1,2,4,6,5,3] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,4,2,6,5] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,1,8,2,7,5] => [1,8,2,7,3,6,4,5] => [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)
[4,8,1,5,2,3,7,6] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,5,1,6,4,3,2,8] => [1,6,2,8,3,4,5,7] => [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)
[5,8,1,6,4,3,2,7] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,7,4,3,2,8] => [1,5,7,2,8,3,4,6] => [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)
[1,5,8,6,4,3,2,7] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[3,4,6,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[7,8,4,1,5,3,2,6] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,1,6,3,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,4,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,4,3,2,8] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,1,7,6,4,3,2,8] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,1,7,8,4,3,2,5] => [1,7,8,2,5,3,4,6] => [1,8,5,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,6,3,8,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => [1,6,2,4,5,3,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,4,6,7,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,5,4,6,8,3] => [1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,8,5,6,3,7,4] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,7,3,8,4] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,5,6,3,7,8] => [1,5,6,2,3,7,8,4] => [1,6,2,8,5,3,7,4] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,3,7,8,2,4] => [1,6,2,4,3,7,8,5] => [1,6,4,2,8,3,7,5] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[1,3,6,4,8,7,2,5] => [1,3,6,2,5,4,8,7] => [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)
[5,4,6,1,3,7,2,8] => [1,3,7,2,8,4,6,5] => [1,7,3,8,6,4,2,5] => ([(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)
[6,4,1,5,2,3,7,8] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,5,2,3,8,6] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,4,5,8,3,7,6] => [1,2,4,5,8,3,7,6] => [1,2,8,4,5,7,3,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,1,8,6] => [1,8,2,3,5,4,6,7] => [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)
[2,8,3,5,4,1,7,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[4,2,6,3,8,1,7,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[7,8,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,1,6,4,7,8,2,5] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,8,4,3,2,7] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,5,8,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,8,4,3,2,6] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[2,4,7,5,1,3,8,6] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,3,2,5] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[7,8,5,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[3,5,6,4,1,8,2,7] => [1,8,2,7,3,5,6,4] => [1,8,7,6,3,5,2,4] => ([(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),(5,6),(5,7),(6,7)],8)
[1,6,5,8,4,3,2,7] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,1,4,3,2,7] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,5,1,4,3,2,8] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,9,6,7] => ([(5,7),(5,8),(6,7),(6,8)],9)
[1,2,3,4,7,5,8,9,6] => [1,2,3,4,7,5,8,9,6] => [1,2,3,4,7,9,5,8,6] => ([(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[1,2,3,6,4,7,8,9,5] => [1,2,3,6,4,7,8,9,5] => [1,2,3,6,9,4,7,8,5] => ([(3,4),(3,8),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,5,3,6,7,8,9,4] => [1,2,5,3,6,7,8,9,4] => [1,2,5,9,3,6,7,8,4] => ([(2,3),(2,8),(3,7),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,4,2,5,6,7,8,9,3] => [1,4,2,5,6,7,8,9,3] => [1,4,9,2,5,6,7,8,3] => ([(1,2),(1,8),(2,7),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => ([],9)
[9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[8,9,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[9,10,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[3,4,6,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[3,6,2,5,4,1,7,8] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[6,1,2,5,4,7,8,3] => [1,2,5,3,4,7,8,6] => [1,2,5,3,4,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,2,4,5,1,3,7,8] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,2,8,5,1,3,7,6] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[4,3,6,8,1,7,2,5] => [1,7,2,5,3,6,8,4] => [1,7,5,8,2,3,6,4] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,7,2,8] => [1,7,2,8,3,6,4,5] => [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)
[1,6,7,4,8,3,5,2] => [1,6,7,2,3,5,4,8] => [1,7,2,5,3,6,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,3,7,5,8,2] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,6,7,2,5,8,1,3] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,4,1,6,3,8] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[7,5,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => [1,3,2,8,6,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,5,4,3,8,6,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,3,5,8,7,2] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,4,3,6,7,2] => [1,5,8,2,3,6,7,4] => [1,8,2,7,5,3,6,4] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,6,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,5,6,3,2,7,1,4] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,1,6,3,8,7] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,6,3,2,1,8,4,7] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,6,4,7,8] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,2,1,5,7] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,2,1,6,4,7] => [1,6,2,3,8,4,7,5] => [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)
[3,7,5,8,2,1,4,6] => [1,4,6,2,3,7,5,8] => [1,6,2,4,7,3,5,8] => ([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,3,2,8,5,1,6,4] => [1,6,2,8,3,4,5,7] => [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)
[8,4,6,3,2,1,7,5] => [1,7,2,3,4,6,5,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,3,2,1,7,5] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,3,2,1,8,5] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,4,3,2,1,6,5] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,2,1,8,6,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,2,1,6,8,4] => [1,6,8,2,3,4,5,7] => [1,8,2,3,4,6,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,1,6,4,8] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,2,5,1,8,4] => [1,8,2,5,3,7,4,6] => [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)
[6,7,8,3,5,2,1,4] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => ([(5,7),(6,7)],8)
[6,2,5,7,8,4,1,3] => [1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => ([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,7,2,8,1,4,5] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,8,1,4,5] => [1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => ([(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)
[3,2,6,1,7,4,5,8] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,4,7,6,8] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,2,1,8,4,6] => [1,8,2,3,5,4,6,7] => [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)
[3,7,2,8,6,1,4,5] => [1,4,5,2,8,3,7,6] => [1,5,8,4,2,7,3,6] => ([(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)
[4,7,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,1,4,7,6] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,1,4,5] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,1,4,6,8,7] => [1,4,6,8,2,3,5,7] => [1,8,2,4,3,6,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,8,9,7,6,5,4,3,2] => [1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,9,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => [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)
[1,8,7,9,6,5,4,3,2] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,7,9,8,6,5,4,3,2] => [1,7,9,2,3,4,5,6,8] => [1,9,2,3,4,5,7,6,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,10,8,7,6,5,4,3,2] => [1,9,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,9,8] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[7,8,3,5,4,6,1,2] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => ([(6,7)],8)
[8,6,3,7,5,2,4,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => ([(3,4),(5,7),(6,7)],8)
[5,4,1,6,3,2,8,7] => [1,6,2,8,3,4,5,7] => [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)
[5,4,1,6,2,3,8,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,6,2,8,3,4] => [1,6,2,8,3,4,5,7] => [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)
[5,7,1,6,2,8,4,3] => [1,6,2,8,3,4,5,7] => [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)
[2,7,6,5,1,8,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,7,6,5,1,8,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,3,6,5,1,4,8,7] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,4,1,5,8,7] => [1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,5,4,8,7] => [1,5,2,3,6,4,8,7] => [1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,4,8,5,3] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[2,7,6,1,4,8,3,5] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[7,3,5,1,8,4,2,6] => [1,8,2,6,3,5,4,7] => [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)
[7,3,5,1,8,6,4,2] => [1,8,2,3,5,4,6,7] => [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)
[2,7,6,1,5,8,4,3] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[2,7,6,4,1,8,5,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[2,1,7,6,3,8,5,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,3,8,4,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,2,8,4,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,4,1,8,3,5] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[7,3,5,1,8,6,2,4] => [1,8,2,4,3,5,6,7] => [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)
[6,3,5,1,8,2,4,7] => [1,8,2,4,7,3,5,6] => [1,8,7,2,3,5,4,6] => ([(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)
[2,3,4,8,7,6,1,5] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,4,8,5,7,1,6] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,7,2,1] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,8,7,1,2] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,8,1,6,2] => [1,6,2,3,5,4,8,7] => [1,6,2,5,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,5,6,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[2,3,4,8,7,5,1,6] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,5,4,8,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,8,4,1,2] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,8,1,4,2] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[7,3,5,6,8,1,2,4] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8)
[6,4,1,5,8,7,2,3] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,8,7,3,2] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,3,8,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,1,5,8,3,2,7] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[7,4,1,5,8,2,3,6] => [1,5,8,2,3,6,4,7] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,8,2,1,4] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,3,5,7,8,2,4,1] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[2,7,6,4,5,8,3,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,6,1,8,4,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,4,8,6,2,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[2,3,4,8,5,6,1,7] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,7,1,6,5] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,1,7,6,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,1,6,7,5] => [1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,1,7,6] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,8,2,7,1] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,5,8,2,1,6] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,4,8,2,1,7] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,5,1,6,7] => [1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,1,6,5,7] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,1,5,7,6] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,2,6,1,5,3,4] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,2,5,3,4] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(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] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,7,2,6,3,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,1,6,3,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,1,5,3,4] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => [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)
[2,8,1,7,5,6,3,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,8,2,7,5,6,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[1,8,2,7,4,6,3,5] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[2,8,1,7,4,6,3,5] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[2,8,4,7,1,6,3,5] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,8,2,7,1,6,3,5] => [1,6,2,7,3,5,4,8] => [1,6,7,5,3,2,4,8] => ([(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)
[4,8,1,7,2,6,3,5] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [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)
[4,8,1,7,5,6,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,4,7,5,6,2,3] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,7,5,6,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[3,8,1,7,5,6,2,4] => [1,7,2,4,3,8,5,6] => [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)
[3,8,1,7,4,6,2,5] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[1,8,3,7,4,6,2,5] => [1,8,2,5,3,7,4,6] => [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)
[1,8,3,7,2,6,4,5] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[3,8,1,7,2,6,4,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[3,8,2,7,1,6,4,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[3,8,2,7,4,6,1,5] => [1,5,2,7,3,8,4,6] => [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)
[3,8,2,7,5,6,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,5,6,1,3] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,7,5,6,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,7,5,6,1,2] => [1,2,3,8,4,7,5,6] => [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)
[2,8,4,7,5,6,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,5,6,1,4] => [1,4,2,8,3,7,5,6] => [1,4,8,2,7,5,3,6] => ([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,3,7,4,6,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[2,8,3,7,1,6,4,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[2,8,1,7,3,6,4,5] => [1,7,2,8,3,6,4,5] => [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)
[7,5,2,8,6,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,8,6,2,3,4] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,8,6,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[7,1,8,4,5,2,6,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,3,8,5,2,4] => [1,6,7,2,4,3,8,5] => [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)
[7,1,8,3,5,6,2,4] => [1,8,2,4,3,5,6,7] => [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)
[7,3,8,6,2,5,1,4] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[7,4,2,8,6,1,3,5] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[7,2,8,4,1,5,3,6] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,3,5,1,6,4] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,2,8,3,4,6,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,8,2,6,3,4] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[6,2,3,8,5,7,4,1] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,8,5,2,7] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[2,6,3,7,8,5,4,1] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,3,7,8,4,5,1] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,3,5,6,8,1] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,3,6,8,5,1] => [1,2,4,7,3,6,8,5] => [1,2,7,4,8,3,6,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,4,7,8,2,6] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,8,6,1,3,7] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,3,8,4,6,7,1] => [1,2,3,8,4,6,7,5] => [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)
[4,8,2,3,5,7,1,6] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,7,8,3,6,2,5] => [1,4,7,8,2,5,3,6] => [1,8,5,4,2,3,7,6] => ([(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)
[4,8,1,3,6,7,2,5] => [1,3,6,7,2,5,4,8] => [1,7,3,5,2,6,4,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,8,2,4,7,1,6] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[5,4,3,8,1,2,7,6] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,8,1,3,7,5] => [1,3,7,2,8,4,5,6] => [1,7,3,8,4,5,2,6] => ([(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)
[6,3,8,2,5,1,7,4] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[6,3,8,1,4,7,2,5] => [1,4,7,2,5,3,8,6] => [1,7,5,4,2,8,3,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,3,6,2,7,4] => [1,3,6,2,7,4,5,8] => [1,6,3,7,4,2,5,8] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,8,1,4,2,6,3,7] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,8,4,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,1,2,8,7,3,4] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,6,4,2,7,8] => [1,6,2,7,8,3,4,5] => [1,6,8,3,4,2,7,5] => ([(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)
[5,2,6,4,1,7,3,8] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,5,1,7,2,6,3,8] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[3,5,7,1,8,6,2,4] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,2,7,5,1,8,4] => [1,8,2,7,3,6,4,5] => [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)
[4,2,5,7,1,8,6,3] => [1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => ([(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)
[3,4,7,2,8,6,1,5] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,2,7,1,6] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => [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)
[4,3,1,2,5,6,8,7] => [1,2,5,6,8,3,4,7] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,8,4,7,2,1] => [1,2,3,6,8,4,7,5] => [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)
[3,7,2,5,4,8,6,1] => [1,2,5,3,7,4,8,6] => [1,2,5,7,3,8,4,6] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,1,6,5,8,3,2,7] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,7,6,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[5,7,1,8,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,5,4,3,8,6] => [1,5,2,7,3,8,4,6] => [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)
[8,2,1,5,4,3,7,6] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,7,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[8,4,6,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,3,8,5] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => ([(6,7)],8)
[5,7,6,8,2,3,4,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[5,7,2,8,4,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(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] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => ([(6,7)],8)
[4,7,6,2,8,3,5,1] => [1,2,8,3,5,4,7,6] => [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)
[3,7,6,2,4,8,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,4,6,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,8,6,2,1] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,3,6,5] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,7,6,3,2,5,4,1] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[8,7,3,5,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,5,1,3,6,4] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,5,7,1,2,3] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => ([(6,7)],8)
[5,7,6,8,4,1,2,3] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[4,7,6,5,8,1,2,3] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,5,1,8,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => ([(7,8)],9)
[1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => ([(8,9)],10)
[7,8,1,2,3,4,5,6,9] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => ([(6,8),(7,8)],9)
[1,8,9,2,3,4,5,6,7] => [1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [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)
[10,1,2,3,4,5,6,7,8,9,11] => [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)
[8,9,1,2,3,4,5,6,7,10] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => ([(7,9),(8,9)],10)
[7,1,8,2,3,4,5,6,9] => [1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,9,6,7] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[6,8,1,2,3,4,5,7,9] => [1,2,3,4,5,7,9,6,8] => [1,2,3,4,5,9,7,6,8] => ([(5,8),(6,7),(6,8),(7,8)],9)
[1,7,9,2,3,4,5,6,8] => [1,7,9,2,3,4,5,6,8] => [1,9,2,3,4,5,7,6,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[1,9,10,2,3,4,5,6,7,8] => [1,9,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,9,8] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => ([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[3,6,4,8,7,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,4,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,6,2,4,8,1,5,7] => [1,5,7,2,4,8,3,6] => [1,7,8,2,5,3,4,6] => ([(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)
[3,4,7,2,8,1,6,5] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,8,6,3] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[7,3,8,4,5,6,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,4,8,7,1,2] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => ([(3,4),(5,6),(5,7),(6,7)],8)
[4,6,8,5,3,7,1,2] => [1,2,3,7,4,6,8,5] => [1,2,3,7,8,4,6,5] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,4,7,1,2] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => ([(5,7),(6,7)],8)
[1,6,5,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => [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)
[1,8,5,2,7,3,6,4] => [1,8,2,7,3,6,4,5] => [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)
[4,2,7,5,1,8,6,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[7,8,1,4,2,6,5,3] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,8,2,5,7] => [1,3,6,2,5,7,4,8] => [1,6,3,7,2,5,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,1,3,4,2,8,7] => [1,3,4,2,8,5,6,7] => [1,4,3,2,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,8,5,3,1,7,2,6] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[7,4,5,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [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)
[5,8,3,6,1,4,2,7] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,5,8,3,7] => [1,4,6,2,5,8,3,7] => [1,6,8,4,2,5,3,7] => ([(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)
[1,6,8,7,4,2,3,5] => [1,6,8,2,3,5,4,7] => [1,8,2,5,3,6,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,4,3,5] => [1,7,8,2,4,3,5,6] => [1,8,4,2,3,5,7,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,3,4,2,5] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,6,5,7,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,7,5,8,4] => [1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,8,5,7,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,6,4,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,4,2,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,6,7,3,2,1,4] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,6,4,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[1,8,3,5,4,2,7,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[4,1,6,3,8,2,7,5] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[3,2,6,4,7,8,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,7,4,3,1,6] => [1,6,2,8,3,4,5,7] => [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)
[7,2,5,8,3,4,1,6] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,1,2,6,4] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,4,1,2,3,6] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[1,4,7,5,3,8,2,6] => [1,4,7,2,6,3,8,5] => [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)
[2,4,6,7,3,1,8,5] => [1,8,2,4,6,7,3,5] => [1,8,7,2,3,4,6,5] => ([(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)
[7,8,4,6,3,1,2,5] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => ([(5,7),(6,7)],8)
[2,6,4,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[3,6,5,8,4,2,1,7] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,3,1,7] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[4,8,6,5,3,2,7,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,1,2,4,7,3] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[1,7,5,8,2,6,4,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,5,7,6,2,4] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,2,1,4,7,3] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,5,6,3,7,4] => [1,5,6,2,8,3,7,4] => [1,6,8,7,5,2,3,4] => ([(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)
[1,8,2,5,7,6,3,4] => [1,8,2,5,7,3,4,6] => [1,8,7,3,2,4,5,6] => ([(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)
[5,1,8,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[8,6,1,5,7,2,3,4] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,8,1,2,4,3] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,1,7,6,8,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,3,7,8,6,2,4] => [1,3,7,8,2,4,5,6] => [1,8,3,2,4,5,7,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,5,8,1,6,4,3] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,1,5,7,6,3,4] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[8,2,5,6,3,7,1,4] => [1,4,2,5,6,3,7,8] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,6,5,4,1,8,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,4,7,8,2] => [1,3,5,2,4,7,8,6] => [1,5,3,2,4,8,7,6] => ([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,1,5,3,4,7,8,2] => [1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,5,6,2,4,1,8,3] => [1,8,2,4,3,5,6,7] => [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)
[8,5,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,3,1,2,6,7,8,5] => [1,2,6,7,8,3,4,5] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,7,3,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,6,2,7,1,4] => [1,4,2,7,3,5,8,6] => [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)
[5,8,1,6,3,7,2,4] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,3,7,2,4] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[1,7,6,5,4,2,8,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[7,1,4,2,6,5,8,3] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,4,1,5,6,8,3] => [1,5,6,8,2,7,3,4] => [1,8,7,3,5,6,2,4] => ([(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)
[4,7,6,1,5,2,8,3] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,4,5,2,8,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,8,3,6,5,7,2,4] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,8,1,6,5,7,2,4] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[8,1,3,5,7,6,2,4] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,4,3,7,8,2] => [1,5,2,3,7,8,4,6] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,4,2,1,8,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,6,5,7,1,4] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,2,5,1,8,3] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,3,5,7,8,2] => [1,4,2,3,5,7,8,6] => [1,4,2,3,5,8,7,6] => ([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,1,3,4,5,7,8,2] => [1,3,4,5,7,8,2,6] => [1,8,3,4,5,2,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,4,5,1,8,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,6,5,7,1,4] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[5,4,7,3,6,8,1,2] => [1,2,3,6,8,4,7,5] => [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)
[3,4,7,8,5,6,1,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => ([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,8,3,6] => [1,4,7,2,5,8,3,6] => [1,7,8,4,2,3,5,6] => ([(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)
[3,6,2,4,7,1,5,8] => [1,5,8,2,4,7,3,6] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,5,7,1,2] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[4,3,6,7,5,8,1,2] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,8,4,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,6,4,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,7,6,5,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[1,2,7,6,5,8,3,4] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,3,8,6,4,1,5,7] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[4,3,6,2,5,1,8,7] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[7,8,1,2,5,6,3,4] => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => [1,6,7,8,2,5,3,4] => ([(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)
[6,1,2,5,8,7,3,4] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,4,7,3,5] => [1,8,2,3,5,4,7,6] => [1,8,2,5,3,7,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,3,6,7,4,5,2] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[7,1,5,8,3,6,2,4] => [1,5,8,2,4,3,6,7] => [1,8,4,2,5,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,2,3,6,4] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,4,2,8,3] => [1,5,7,2,8,3,4,6] => [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)
[3,1,6,4,7,2,5,8] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,7,5,1,8,3,6] => [1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => ([(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)
[6,5,7,1,4,2,3,8] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,8,3,4,5,1,7,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[6,2,4,3,1,5,7,8] => [1,5,7,8,2,4,3,6] => [1,8,4,2,5,3,7,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,1,7,5,6] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[5,3,7,4,1,6,2,8] => [1,6,2,8,3,7,4,5] => [1,6,8,7,4,2,3,5] => ([(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)
[2,4,7,3,6,1,8,5] => [1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => ([(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)
[5,8,7,6,3,1,2,4] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[7,5,6,8,1,4,3,2] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => ([(3,4),(5,7),(6,7)],8)
[2,4,7,1,6,5,3,8] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[1,2,7,8,5,4,3,6] => [1,2,7,8,3,6,4,5] => [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)
[7,2,1,5,4,6,3,8] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,8,5,3,7] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[7,8,2,1,4,5,3,6] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,5,3,6,2] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,1,5,8,7,2] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,4,3,8,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,6,3,4,7,2] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,1,8,2,7,4,3] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[6,8,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [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)
[5,6,1,7,4,8,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,1,7,4,8,3] => [1,7,2,5,6,3,4,8] => [1,7,6,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,6,4,8,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,6,4,8,3,2] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,8,5,3,4,2] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,5,7,3,4,8,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,7,5,8,2,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,3,6,2,7,4,1] => [1,2,7,3,6,4,5,8] => [1,2,7,6,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,6,8,2,5] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,2,8,1] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,4,8,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,5,7,2,4,3] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,6,8,3,4,5] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,5,3,8,2,4] => [1,7,2,4,3,8,5,6] => [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)
[2,1,7,5,6,8,3,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,1,7,6,8,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,5,6,2,7,3,1] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,4,2,7,5,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,2,4,6,3,1] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,3,7,4,5,1] => [1,2,8,3,7,4,5,6] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,4,7,1,8,3,2,6] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[3,7,4,1,8,5,2,6] => [1,8,2,6,3,7,4,5] => [1,8,6,7,4,2,3,5] => ([(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)
[6,7,1,4,8,3,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,4,5,3,6] => [1,8,2,7,3,6,4,5] => [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)
[6,1,2,8,4,3,5,7] => [1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,4,3,8,2,7] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,8,3,4,7] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,2,1,7,3,6,5] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,5,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,2,8,3,6,7] => [1,5,2,8,3,6,7,4] => [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)
[6,4,3,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[3,7,6,8,4,5,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[2,7,6,8,5,3,4,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,8,5,4,2,3] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,8,6,7,5,2,3] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,7,3,5,1] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,5,4,6,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,5,6,7,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[6,3,5,8,4,7,2,1] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,6,7,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,8,7,3,6,1] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,8,7,3,4,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,5,7,4,6,1] => [1,2,8,3,4,6,5,7] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,7,5,6,2,4] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,6,3,5] => [1,8,2,3,5,4,6,7] => [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)
[3,1,8,5,7,6,2,4] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,5,8,7,4,2,3] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,8,7,6,2,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[4,8,7,5,6,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[4,2,1,6,3,5,8,7] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,4,3,5,8,7] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[6,2,1,4,3,8,5,7] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,2,1,4,3,6,5,7] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,2,4,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,6,4,3,5,8,7] => [1,6,2,3,5,8,4,7] => [1,6,2,8,3,5,4,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,4,3,5,8,7] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,2,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,6,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,3,8,5,7] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,6,4,3,8,5,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,4,3,6,5,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,4,3,6,5,7] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,3,6,5,7] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,3,6,5,7] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,1,6,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[8,6,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => ([(3,4),(5,7),(6,7)],8)
[2,8,1,4,6,3,5,7] => [1,4,6,2,8,3,5,7] => [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)
[2,1,8,4,6,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,4,8,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,4,8,1,3,5,7] => [1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[6,2,4,1,8,3,5,7] => [1,8,2,4,3,5,7,6] => [1,8,4,2,3,7,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,2,4,1,6,3,5,7] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,4,6,3,5,7] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,8,3,5,7] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,3,5,7] => [1,6,8,2,3,5,7,4] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,3,8,5,7] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,6,5,7] => [1,4,2,3,8,5,7,6] => [1,4,2,3,8,7,5,6] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,3,6,5,7] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,6,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,4,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,6,4,3,5,7] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,4,3,5,7] => [1,4,2,6,3,5,7,8] => [1,4,6,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,1,3,6,5,7] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,1,3,6,5,7] => [1,3,6,2,4,8,5,7] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,8,3,6,5,7] => [1,8,2,4,3,6,5,7] => [1,8,4,2,6,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,4,8,3,6,5,7] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,6,3,5,7] => [1,4,8,2,3,5,7,6] => [1,8,2,4,3,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,6,3,5,7] => [1,6,2,4,8,3,5,7] => [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)
[4,2,8,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[6,2,8,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[8,2,6,4,1,3,5,7] => [1,3,5,7,2,6,4,8] => [1,7,3,6,5,2,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,6,8,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,8,4,1,3,5,7] => [1,3,5,7,2,6,8,4] => [1,7,3,8,5,2,6,4] => ([(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)
[2,6,8,1,4,3,5,7] => [1,4,2,6,8,3,5,7] => [1,4,8,2,3,6,5,7] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,8,4,3,5,7] => [1,6,8,2,3,5,7,4] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,4,3,5,7] => [1,8,2,3,5,7,4,6] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => [1,7,3,8,5,4,2,6] => ([(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)
[6,8,4,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => [1,7,3,2,5,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,4,3,8,1,7,6] => [1,7,2,4,3,8,5,6] => [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)
[6,2,4,1,5,3,8,7] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,3,6,1,5,2,8,7] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,8,1,7,6] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[4,3,7,2,6,5,8,1] => [1,2,6,3,7,4,5,8] => [1,2,6,7,4,3,5,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,2,6,1,7,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,3,8,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[4,3,8,1,5,2,7,6] => [1,5,2,7,3,8,4,6] => [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)
[5,1,8,3,4,2,7,6] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,4,8,1,3,2,7,6] => [1,3,2,7,4,8,5,6] => [1,3,2,7,8,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,4,8,3,7,6] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[5,1,7,6,8,3,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,7,6,8,1,5,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,8,5,6,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,3,6,5,8,1,7,2] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,4,7,2,8,1] => [1,2,8,3,5,4,7,6] => [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)
[6,3,5,4,8,1,7,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,3,8,4,5,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,5,8,1,3,2] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[2,1,8,4,6,3,7,5] => [1,8,2,3,7,4,6,5] => [1,8,2,7,6,4,3,5] => ([(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)
[8,4,6,1,3,2,7,5] => [1,3,2,7,4,6,5,8] => [1,3,2,7,6,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,3,4,2,7,5] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,3,7,2,5,4] => [1,6,2,5,3,7,4,8] => [1,6,5,7,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,2,6,4] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,6,1,7,4] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,5,1,7,4] => [1,7,2,6,3,5,4,8] => [1,7,6,5,3,2,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,5,3,6,4] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,5,3,7,6] => [1,5,2,4,3,7,6,8] => [1,5,4,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,1,7,3,6,5] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,4,3,6,1,7,5] => [1,7,2,4,3,6,5,8] => [1,7,4,2,6,3,5,8] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,8,1,5,4,7,6] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,8,1,5,4] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,1,8,5,6,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[3,2,6,5,8,1,7,4] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,2,4,3,8,1] => [1,2,4,3,8,5,7,6] => [1,2,4,3,8,7,5,6] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,4,1,8,5,6,3] => [1,8,2,4,3,5,6,7] => [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)
[7,6,8,2,4,1,5,3] => [1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,5,2,4,3] => [1,5,2,4,3,6,8,7] => [1,5,4,2,3,6,8,7] => ([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,8,5,6,4] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,8,5,6,4] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,8,5,6,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[7,1,8,2,6,4,5,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,1,5,4,6,3] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,4,5,3,8,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,2,6,3,8,1] => [1,2,6,3,8,4,7,5] => [1,2,6,8,7,3,4,5] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,2,6,1,7,3] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[6,5,8,1,7,2,4,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,4,8,3,5,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,1,8,3,6,2] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,9,10,11,12,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => ([],12)
[2,8,3,1,5,4,6,7] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,3,4,7,1,8,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[2,4,8,3,5,7,6,1] => [1,2,4,8,3,5,7,6] => [1,2,8,4,3,7,5,6] => ([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,3,1,8,6,7] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,8,5,3,6,7] => [1,8,2,3,6,7,4,5] => [1,8,2,7,4,3,6,5] => ([(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)
[1,5,8,4,3,2,6,7] => [1,5,8,2,6,7,3,4] => [1,8,7,3,5,2,6,4] => ([(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)
[1,7,4,3,8,5,2,6] => [1,7,2,6,3,8,4,5] => [1,7,6,8,4,2,3,5] => ([(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)
[5,1,4,7,8,3,2,6] => [1,4,7,8,2,6,3,5] => [1,8,6,4,3,2,7,5] => ([(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)
[8,1,5,3,7,4,6,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,4,7,6,5,2,1] => [1,2,3,8,4,7,5,6] => [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)
[1,6,8,5,3,7,4,2] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[6,8,1,7,4,3,5,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,7,5,6,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[2,7,4,6,3,1,8,5] => [1,8,2,7,3,4,6,5] => [1,8,7,3,6,4,2,5] => ([(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)
[6,2,4,8,3,7,5,1] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,3,4,1,8,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,3,5,4,6] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[2,1,7,3,5,8,4,6] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,3,6,2,4,5] => [1,3,6,2,4,5,7,8] => [1,6,3,2,4,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,7,3,5,6,4] => [1,7,2,3,5,6,4,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,3,1,5,4] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,3,5,4,1] => [1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,4,5,6,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,2,7,5,3,4] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,2,7,4,5,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,8,6,7,4,3] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,1,6,4,2,5,3] => [1,6,2,5,3,4,7,8] => [1,6,5,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,1,5,2,4] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,7,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,1,6,4,5,3,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,5,6,4,3,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,7,5,4,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,5,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => [1,8,2,4,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,7,2,8,4,1] => [1,2,8,3,5,7,4,6] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,4,3,1,6] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,6,2,8,7] => [1,4,6,2,8,3,5,7] => [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)
[8,3,4,5,7,2,1,6] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,4,6,3,8,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,8,6,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,6,3,7,1,5] => [1,5,2,8,3,7,4,6] => [1,5,8,7,2,4,3,6] => ([(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)
[8,3,4,7,5,1,2,6] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[2,1,8,5,7,4,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,4,2] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,3,4,7,5,8,1,2] => [1,2,3,4,7,5,8,6] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,6,8,3,7,2] => [1,4,6,8,2,3,7,5] => [1,8,2,4,7,6,3,5] => ([(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)
[4,7,1,3,5,8,6,2] => [1,3,5,8,2,4,7,6] => [1,8,3,2,5,7,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,2,6,5] => [1,2,6,3,7,4,8,5] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,6,4,1,7,2,5] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[3,8,1,2,5,7,6,4] => [1,2,5,7,3,8,4,6] => [1,2,7,8,5,4,3,6] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,5,4,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,6,4,1,3,5] => [1,3,5,2,6,4,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,8,6,7,4,2,1,5] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,8,4,2,3,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => ([(6,7)],8)
[5,3,7,8,2,4,6,1] => [1,2,4,6,3,7,8,5] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,6,2,1,4,7,5] => [1,4,7,2,3,6,5,8] => [1,7,2,4,6,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,6,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[5,3,6,2,8,7,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,4,2,1,3] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => ([(3,4),(5,6),(5,7),(6,7)],8)
[6,1,7,4,5,8,2,3] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,5,1,8,2,4] => [1,8,2,4,3,5,6,7] => [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)
[2,1,6,7,5,8,3,4] => [1,6,7,2,3,4,5,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,3,6,8,4] => [1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => ([(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)
[5,7,3,6,1,2,8,4] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,1,6,5,8,3] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,8,7,5,3] => [1,8,2,3,4,6,5,7] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,7,8,5,1] => [1,2,7,8,3,4,6,5] => [1,2,8,3,6,4,7,5] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,5,8,7,3] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,8,2,7,3] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,6,3,1,8,7,2,4] => [1,8,2,4,3,5,6,7] => [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)
[3,5,6,4,7,1,8,2] => [1,8,2,3,5,6,4,7] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,7,6,8,2] => [1,5,7,2,3,4,6,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,1,6,5,4] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[3,8,2,7,6,1,5,4] => [1,5,2,7,3,8,4,6] => [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)
[3,8,2,7,6,5,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,7,6,5,4,1] => [1,2,7,3,8,4,5,6] => [1,2,7,8,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,2,6,5,3,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,2,6,5,1,3] => [1,3,2,6,4,8,5,7] => [1,3,2,6,8,4,5,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,2,1,6,5,3] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,1,6,5,2] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,6,2,1,5] => [1,5,2,3,6,4,8,7] => [1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,6,1,5,2] => [1,5,2,3,6,4,8,7] => [1,5,2,6,3,4,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,6,5,1,2] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,3,6,5,2,1] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,8,7,6,3,1,4,2] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,3,2,4,1] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,6,2,4,3,1] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,6,2,1,4,3] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,4,2,3,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,8,7,6,4,2,1,3] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,6,4,1,3,2] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,6,4,3,1,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[7,3,4,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,2,6,4,1,8] => [1,8,2,6,3,5,4,7] => [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)
[6,3,5,2,7,4,8,1] => [1,2,7,3,5,4,8,6] => [1,2,7,5,3,8,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,5,6,4,3,8] => [1,5,6,2,3,8,4,7] => [1,6,2,8,5,3,4,7] => ([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,1,6,4,2,8] => [1,6,2,8,3,5,4,7] => [1,6,8,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,4,5,6,1,3,2,8] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,4,5,7,3,2,8,6] => [1,4,5,7,2,8,3,6] => [1,7,8,4,5,3,2,6] => ([(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)
[6,4,5,7,3,1,8,2] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,1,3,8,2] => [1,3,8,2,4,5,7,6] => [1,8,3,2,4,7,5,6] => ([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,7,4,8,2] => [1,7,2,3,5,4,8,6] => [1,7,2,5,3,8,4,6] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,7,4,8,3] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,4,8,6] => [1,5,7,2,3,4,8,6] => [1,7,2,3,5,8,4,6] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,8,5,2] => [1,4,6,7,2,3,8,5] => [1,7,2,4,8,6,3,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,3,4,2] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,3,1,4] => [1,4,2,5,6,7,8,3] => [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)
[3,2,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,6,7,8,4,3] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,3,2,4] => [1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,7,2,1,8,3] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,2,8,3,1] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,7,8,4,1] => [1,2,7,8,3,6,4,5] => [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)
[5,3,6,2,7,8,1,4] => [1,4,2,7,8,3,6,5] => [1,4,8,2,6,3,7,5] => ([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,7,1,8,4] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[6,3,4,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,2,7,8,6] => [1,2,7,8,3,4,5,6] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,8,5,1] => [1,2,7,8,3,6,4,5] => [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)
[1,3,6,2,7,8,5,4] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,7,2,8,5,3] => [1,4,6,7,2,8,3,5] => [1,7,8,4,3,6,2,5] => ([(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)
[3,4,6,7,2,8,5,1] => [1,2,8,3,4,6,7,5] => [1,2,8,3,7,4,6,5] => ([(2,7),(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] => [1,8,2,3,4,5,7,6] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,3,8,6] => [1,5,7,2,3,8,4,6] => [1,7,2,8,5,4,3,6] => ([(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)
[4,2,1,6,7,8,3,5] => [1,6,7,8,2,3,5,4] => [1,8,2,5,3,6,7,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,8,2,5] => [1,7,8,2,5,3,6,4] => [1,8,5,6,2,3,7,4] => ([(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)
[1,5,6,7,8,2,4,3] => [1,5,6,7,8,2,4,3] => [1,8,4,2,5,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,4,2,3] => [1,5,6,7,8,2,3,4] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,7,8,5,3] => [1,6,7,8,2,3,4,5] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,1,8,5,3] => [1,8,2,4,6,7,3,5] => [1,8,7,2,3,4,6,5] => ([(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)
[2,5,6,7,8,1,4,3] => [1,4,2,5,6,7,8,3] => [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)
[2,1,4,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => [1,4,2,3,6,5,8,7,9] => ([(2,5),(3,4),(6,8),(7,8)],9)
[1,3,2,5,4,7,6,9,8] => [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)
[1,4,2,5,3,7,6,9,8] => [1,4,2,5,3,7,6,9,8] => [1,4,5,2,3,7,6,9,8] => ([(1,4),(2,3),(5,7),(5,8),(6,7),(6,8)],9)
[1,3,2,5,4,7,6,9,8,10] => [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)
[7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => ([(6,7),(6,8),(7,8)],9)
[1,4,3,7,2,5,6,8] => [1,4,2,5,6,8,3,7] => [1,4,8,2,5,6,3,7] => ([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,7,6,8,2,5] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,7,5,8,2,6] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,4,3,7,2,6,5,8] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,3,7,4,8,2,6] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,3,2,6,5,8,4,7] => [1,3,2,6,4,7,5,8] => [1,3,2,6,7,4,5,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,4,8,2,6,3,7] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,5,4,8,3,7,2,6] => [1,5,2,6,3,7,4,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,3,6,5,8,4,7] => [1,2,3,6,4,7,5,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,4,5,7,1,3] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8)
[3,7,8,4,5,2,6,1] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,1,4,5,3,6,2] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,1,6,4,7,2] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,1,4,7,6,3,2] => [1,4,7,2,3,5,8,6] => [1,7,2,4,3,8,5,6] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,8,6,2,4,3] => [1,8,2,4,3,5,6,7] => [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)
[7,4,1,8,2,6,3,5] => [1,8,2,6,3,5,4,7] => [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)
[7,1,8,4,2,6,3,5] => [1,8,2,6,3,5,4,7] => [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)
[1,6,3,8,5,2,4,7] => [1,6,2,4,7,3,8,5] => [1,6,7,2,8,4,3,5] => ([(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)
[6,1,3,8,5,2,4,7] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,3,6,2,5,4] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[7,3,1,8,4,2,6,5] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => [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)
[7,2,8,3,6,5,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,8,3,6,1,5,4] => [1,5,2,8,3,6,4,7] => [1,5,8,6,2,3,4,7] => ([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,3,6,5,4] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,8,3,5,4,7] => [1,2,8,3,5,4,7,6] => [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)
[1,5,2,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => [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)
[5,1,2,3,8,4,7,6] => [1,2,3,8,4,7,5,6] => [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)
[6,2,8,1,3,5,4,7] => [1,3,5,2,8,4,7,6] => [1,5,3,8,2,7,4,6] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,2,4,1,8,7,3,5] => [1,8,2,4,3,5,6,7] => [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)
[3,1,6,4,2,8,5,7] => [1,6,2,8,3,4,5,7] => [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)
[2,6,3,8,7,1,5,4] => [1,5,2,6,3,8,4,7] => [1,5,6,8,2,3,4,7] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,3,8,5,1,4,7] => [1,4,7,2,6,3,8,5] => [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)
[2,5,1,8,3,4,7,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[2,5,1,3,8,4,7,6] => [1,3,8,2,5,4,7,6] => [1,8,3,5,2,7,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,5,3,8,4,7,6] => [1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,3,7,6,5] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,1,3,7,6,5] => [1,3,7,2,4,8,5,6] => [1,7,3,2,8,5,4,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,8,3,7,6,1,5] => [1,5,2,4,8,3,7,6] => [1,5,8,2,4,7,3,6] => ([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,7,4,6] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[3,1,5,4,8,2,7,6] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,1,4,8,2,7,6] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,2,3,8,4,7,1,6] => [1,6,2,3,8,4,7,5] => [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)
[4,8,2,3,7,6,1,5] => [1,5,2,3,7,4,8,6] => [1,5,2,7,3,8,4,6] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,2,3,7,1,6,5] => [1,6,2,3,7,4,8,5] => [1,6,2,7,8,3,4,5] => ([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,1,2,3,7,6,5] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,3,7,2,6,5] => [1,4,8,2,6,3,7,5] => [1,8,6,4,7,2,3,5] => ([(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)
[6,3,8,1,5,2,4,7] => [1,5,2,4,7,3,8,6] => [1,5,7,2,4,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,2,4,7,6] => [1,2,4,7,3,8,5,6] => [1,2,7,4,8,5,3,6] => ([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,1,3,8,2,4,7,6] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,4,7,6] => [1,5,2,4,7,3,8,6] => [1,5,7,2,4,8,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,2,7,6,3] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,4,8,2,7,6,3] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[5,4,8,1,2,7,6,3] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,8,7,4,3] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,1,6,4,2,8,7] => [1,6,2,8,3,4,5,7] => [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)
[5,1,6,2,8,7,4,3] => [1,6,2,8,3,4,5,7] => [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)
[4,1,5,8,2,7,6,3] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[4,1,2,5,8,7,6,3] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,8,7,4,6] => [1,3,5,2,8,4,6,7] => [1,5,3,8,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[3,5,1,2,8,7,4,6] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,5,1,4] => [1,4,2,8,3,6,5,7] => [1,4,8,2,6,3,5,7] => ([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [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)
[4,3,1,5,8,2,7,6] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[3,5,2,8,7,1,4,6] => [1,4,6,2,8,3,5,7] => [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)
[3,4,8,7,1,2,6,5] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,1,7,2,6,5] => [1,7,2,6,3,4,8,5] => [1,7,6,3,8,2,4,5] => ([(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)
[3,4,8,1,2,7,6,5] => [1,2,7,3,4,8,5,6] => [1,2,7,3,8,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,2,7,6,1,5] => [1,5,2,7,3,4,8,6] => [1,5,7,3,2,8,4,6] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,1,2,5,8,7,6] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,8,7,6,4] => [1,8,2,3,5,4,6,7] => [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)
[7,8,2,1,5,3,6,4] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,2,7,3,5,8] => [1,2,7,3,5,8,4,6] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,5,4,1,8,6] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[6,3,1,5,4,2,7,8] => [1,5,2,7,8,3,4,6] => [1,5,8,3,2,4,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,8,1,5,4,2,6,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,4,1,6,2] => [1,6,2,3,5,4,7,8] => [1,6,2,5,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,1,3,6] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,5,4,6,1,3] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8)
[6,2,1,5,4,7,3,8] => [1,5,2,3,8,4,7,6] => [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)
[5,3,6,1,4,7,8,2] => [1,4,7,8,2,3,6,5] => [1,8,2,4,6,3,7,5] => ([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,4,7,1,8] => [1,8,2,4,7,3,6,5] => [1,8,7,2,6,3,4,5] => ([(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)
[6,4,2,1,7,3,8,5] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,5,8,6,1,2] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,8,3,6,5] => [1,8,2,7,3,6,4,5] => [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)
[3,2,6,7,4,8,1,5] => [1,5,2,6,7,3,4,8] => [1,5,7,3,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,6,7,4,8,5,2] => [1,6,7,2,3,4,8,5] => [1,7,2,3,8,6,4,5] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,3,8,4,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,5,3,8,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,1,4,8] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[2,7,1,4,8,3,5,6] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[3,7,6,4,8,5,1,2] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,3,8,4,1,2] => [1,2,3,8,4,5,7,6] => [1,2,3,8,4,7,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,2,1,3,8] => [1,3,8,2,4,7,5,6] => [1,8,3,2,7,5,4,6] => ([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,2,8,1,3] => [1,3,2,8,4,7,5,6] => [1,3,2,8,7,5,4,6] => ([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,1,8,3,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,2,8,3,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,7,6,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[4,7,6,5,1,2,8,3] => [1,2,8,3,4,7,5,6] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,1,8,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,5,4,8,7,2] => [1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,2,6,3,4,8,7,5] => [1,2,6,3,4,8,5,7] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,5,3,6,8] => [1,5,2,3,6,8,4,7] => [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)
[4,7,1,6,2,3,8,5] => [1,6,2,3,8,4,7,5] => [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)
[1,2,6,7,4,8,5,3] => [1,2,6,7,3,4,8,5] => [1,2,7,3,8,6,4,5] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => [1,2,3,8,5,7,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,5,3,8,6] => [1,2,5,3,8,4,7,6] => [1,2,5,8,3,7,4,6] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,2,4,1,8] => [1,8,2,4,3,7,5,6] => [1,8,4,2,7,5,3,6] => ([(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)
[3,7,6,5,2,1,8,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[1,7,6,5,8,2,4,3] => [1,7,2,4,3,5,8,6] => [1,7,4,2,3,8,5,6] => ([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,5,8,1,4,2] => [1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,7,6,5,1,2,4,8] => [1,2,4,8,3,7,5,6] => [1,2,8,4,7,5,3,6] => ([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,8,3,5,1,2] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8)
[2,7,6,5,1,4,3,8] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,1,3,4] => [1,3,4,2,7,5,8,6] => [1,4,3,2,7,8,5,6] => ([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[2,7,6,5,8,4,1,3] => [1,3,2,7,4,5,8,6] => [1,3,2,7,4,8,5,6] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,1,7,4,8,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,7,3,5,8,6] => [1,7,2,3,5,8,4,6] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,4,2,8,6] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,5,2,7,6,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,5,1,3,7,6,4] => [1,3,7,2,5,4,6,8] => [1,7,3,5,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,2,1,8,5] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,7,2,5,3,1,8,6] => [1,8,2,5,3,4,7,6] => [1,8,5,3,2,7,4,6] => ([(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)
[7,5,4,3,2,1,8,6] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,3,2,1,7,6,4] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,2,1,8,4,3,7] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[4,6,3,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => [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)
[5,7,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => [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)
[2,7,3,6,4,8,1,5] => [1,5,2,7,3,6,4,8] => [1,5,7,6,2,3,4,8] => ([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,5,3,8,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,3,6,4,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,2,7,4,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,2,3,7,5,4] => [1,8,2,3,7,4,5,6] => [1,8,2,7,4,5,3,6] => ([(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)
[1,8,6,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,8,3,2,7,1,6,4] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,1,6,5,4,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,2,6,1,5,4,3] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,4,3,6,2] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,2,4,6,3] => [1,8,2,4,6,3,5,7] => [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)
[3,8,6,1,7,2,5,4] => [1,7,2,5,3,8,4,6] => [1,7,5,8,2,4,3,6] => ([(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)],8)
[5,8,4,6,7,1,3,2] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => ([(3,4),(5,6),(5,7),(6,7)],8)
[7,2,8,5,6,1,4,3] => [1,4,2,8,3,5,6,7] => [1,4,8,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,8,2,1,4] => [1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[3,7,2,6,8,4,1,5] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[3,6,5,8,1,4,2,7] => [1,4,2,7,3,6,5,8] => [1,4,7,2,6,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,8,3,2,1,7] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,7,1,3,6,5] => [1,3,6,2,4,7,5,8] => [1,6,3,2,7,4,5,8] => ([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,5,8,1,4,3,7] => [1,4,2,5,8,3,7,6] => [1,4,8,2,5,7,3,6] => ([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,8,2,1,5,7] => [1,5,7,2,3,6,8,4] => [1,7,2,8,5,3,6,4] => ([(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)
[6,3,5,1,8,4,2,7] => [1,8,2,7,3,5,4,6] => [1,8,7,5,3,4,2,6] => ([(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)
[5,4,1,6,8,2,3,7] => [1,6,8,2,3,7,4,5] => [1,8,2,7,4,6,3,5] => ([(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)
[6,5,2,1,7,8,3,4] => [1,7,8,2,3,4,5,6] => [1,8,2,3,4,5,7,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,8,5,2,1] => [1,2,3,7,4,8,5,6] => [1,2,3,7,8,5,4,6] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,5,8,6,3,1] => [1,2,5,8,3,4,7,6] => [1,2,8,3,5,7,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,4,7,5,2] => [1,8,2,3,4,7,5,6] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,7,4,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,3,7,6,4,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[5,4,8,1,7,6,2,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,7,3,6,4] => [1,7,2,8,3,6,4,5] => [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)
[6,4,8,2,1,7,5,3] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,1,4,7,5,2] => [1,4,7,2,3,6,8,5] => [1,7,2,4,8,3,6,5] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,3,8,1,6,4,2] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,8,1,5,3,2] => [1,5,2,3,4,7,8,6] => [1,5,2,3,4,8,7,6] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,3,8,7,2,1,6,4] => [1,6,2,3,8,4,5,7] => [1,6,2,8,4,3,5,7] => ([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,6,1,5,4,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,6,5,1,4,3] => [1,4,2,7,3,5,6,8] => [1,4,7,2,3,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,8,7,6,2,1,5] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,6,1,3,5] => [1,3,5,2,4,8,6,7] => [1,5,3,2,4,8,6,7] => ([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,6,1,4] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,6,5,1,2] => [1,2,3,8,4,7,5,6] => [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)
[7,5,8,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => ([(5,7),(6,7)],8)
[5,8,7,3,6,4,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => ([(3,4),(5,7),(6,7)],8)
[4,8,7,6,2,5,3,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[3,8,7,6,5,1,4,2] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,8,7,6,5,4,1,3] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => ([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,8,1,2,3,4,9] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => ([(4,8),(5,8),(6,8),(7,8)],9)
[7,8,5,6,3,4,1,2,9] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[7,6,5,4,3,2,1,8,9] => [1,8,9,2,3,4,5,6,7] => [1,9,2,3,4,5,6,8,7] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[8,6,9,4,7,2,5,1,3] => [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)
[7,8,9,4,5,6,1,2,3,10] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,1,9,10] => [1,9,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,9,8] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[3,7,5,8,2,4,1,6] => [1,6,2,4,3,7,5,8] => [1,6,4,2,7,3,5,8] => ([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,2,4,1,6] => [1,6,2,4,3,8,5,7] => [1,6,4,2,8,3,5,7] => ([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,2,6,4,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,5,4,3,8,7] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,2,6,5,3,8,7] => [1,2,6,3,8,4,5,7] => [1,2,6,8,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,7,8,3,2,6] => [1,5,7,8,2,6,3,4] => [1,8,6,3,5,2,7,4] => ([(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)
[4,7,1,8,3,6,2,5] => [1,8,2,5,3,6,4,7] => [1,8,5,6,2,3,4,7] => ([(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)
[7,5,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,5,8,7,3,4,6] => [1,5,8,2,3,4,6,7] => [1,8,2,3,5,4,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,2,3,6] => [1,8,2,3,6,4,7,5] => [1,8,2,6,7,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,7,5,2,3,6] => [1,8,2,3,6,4,5,7] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,3,2,8,5] => [1,6,2,8,3,4,7,5] => [1,6,8,3,7,2,4,5] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,1,2,3,7,5,8,4] => [1,2,3,7,4,5,8,6] => [1,2,3,7,4,8,5,6] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,8,6,5,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[7,1,2,3,5,8,6,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,4,3,7,2,5] => [1,4,2,5,3,7,6,8] => [1,4,5,2,3,7,6,8] => ([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,4,8,6,5] => [1,7,2,3,4,8,5,6] => [1,7,2,3,8,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,4,3,8,2,5] => [1,4,2,5,3,8,6,7] => [1,4,5,2,3,8,6,7] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[8,1,2,3,5,7,6,4] => [1,2,3,5,7,4,6,8] => [1,2,3,7,5,4,6,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,7,5,4] => [1,2,3,6,7,4,5,8] => [1,2,3,7,4,6,5,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,8,5,4] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,8,5,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,1,2,3,7,5,6,4] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => ([(4,7),(5,7),(6,7)],8)
[8,1,2,3,6,5,7,4] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => ([(5,7),(6,7)],8)
[7,1,8,5,4,3,2,6] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,3,4,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,4,1,5] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,3,4,1,5] => [1,5,2,8,3,4,6,7] => [1,5,8,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => [1,4,6,2,8,3,5,7] => ([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,8,1,4,2,6,5] => [1,4,2,6,3,7,8,5] => [1,4,6,2,8,3,7,5] => ([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,7,8,2,4,1,6] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,2,8,3,1,4,5] => [1,4,5,2,8,3,6,7] => [1,5,8,4,2,3,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,7,3,1,4,5] => [1,4,5,2,7,3,6,8] => [1,5,7,4,2,3,6,8] => ([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,4,3,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,5,3,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => [1,4,6,2,7,3,5,8] => ([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,7,3,2,4,1,8,5] => [1,8,2,4,3,5,6,7] => [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)
[8,7,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [1,5,4,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,5,6,8,4] => [1,2,3,5,6,8,4,7] => [1,2,3,8,5,6,4,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,8,7,4,5] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,1,2,3,7,8,6,4] => [1,2,3,7,8,4,5,6] => [1,2,3,8,4,5,7,6] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,8,7,6,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[5,1,2,3,8,6,7,4] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,1,2,3,5,8,7,4] => [1,2,3,5,8,4,6,7] => [1,2,3,8,5,4,6,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,3,1,7,5] => [1,7,2,4,3,5,6,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [1,5,8,2,4,3,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,4,8,7,5] => [1,6,2,3,4,8,5,7] => [1,6,2,3,8,4,5,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,2,4,7,1,5] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,4,3,1,8,5] => [1,8,2,4,3,5,6,7] => [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)
[6,1,2,3,5,7,8,4] => [1,2,3,5,7,8,4,6] => [1,2,3,8,5,4,7,6] => ([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,1,2,3,6,8,7,4] => [1,2,3,6,8,4,5,7] => [1,2,3,8,4,6,5,7] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,6,3,5,4] => [1,2,6,3,5,4,7,8] => [1,2,6,5,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,2,7,3,5,6] => [1,4,8,2,7,3,5,6] => [1,8,7,4,3,5,2,6] => ([(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),(6,7)],8)
[2,3,6,8,4,7,1,5] => [1,5,2,3,6,8,4,7] => [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)
[3,4,8,5,7,6,1,2] => [1,2,3,4,8,5,7,6] => [1,2,3,4,8,7,5,6] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,8,4,5,7,3] => [1,2,6,8,3,4,5,7] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,5,2,3,8] => [1,5,2,3,8,4,6,7] => [1,5,2,8,3,4,6,7] => ([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,6,3,5,8] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,4,7,2,3,5] => [1,4,7,2,3,5,6,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,5,4,2,7] => [1,6,2,7,3,8,4,5] => [1,6,7,8,4,2,3,5] => ([(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)
[6,8,1,7,3,5,4,2] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,6,5,4,2,8] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,6,5,4,2,8] => [1,6,2,8,3,4,5,7] => [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)
[7,2,1,4,6,3,5,8] => [1,4,6,2,3,5,8,7] => [1,6,2,4,3,5,8,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,5,1,4,8] => [1,4,8,2,3,6,5,7] => [1,8,2,4,6,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,5,4,8] => [1,2,3,6,4,8,5,7] => [1,2,3,6,8,4,5,7] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,2,7,3,5,4] => [1,2,7,3,5,4,6,8] => [1,2,7,5,3,4,6,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,8,5,4,7] => [1,6,2,3,8,4,7,5] => [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)
[1,5,8,2,7,6,3,4] => [1,5,8,2,7,3,4,6] => [1,8,7,3,5,4,2,6] => ([(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),(6,7)],8)
[5,1,8,2,7,6,3,4] => [1,8,2,7,3,4,5,6] => [1,8,7,3,4,5,2,6] => ([(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)
[5,8,2,7,6,3,4,1] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,1,7,3,5,4] => [1,7,2,8,3,5,4,6] => [1,7,8,5,3,4,2,6] => ([(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)
[6,8,2,1,7,4,3,5] => [1,7,2,3,5,4,6,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,8,5,4,7] => [1,6,2,3,8,4,7,5] => [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)
[2,5,1,8,7,6,3,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(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] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,5,3,8,7,4,6] => [1,2,5,3,8,4,6,7] => [1,2,5,8,3,4,6,7] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,1,3] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[2,5,3,8,7,1,6,4] => [1,6,2,5,3,8,4,7] => [1,6,5,8,2,3,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,5,8,7,1,4,2,6] => [1,4,2,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => ([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,4,1,7,6,2] => [1,7,2,3,8,4,5,6] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,7,6,3,5,1] => [1,2,8,3,5,4,6,7] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,7,6,5,3,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,7,6,5,3,2] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,8,7,6,5,1,2] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8)
[6,3,1,8,7,2,5,4] => [1,8,2,5,3,4,6,7] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,6,1,4,2] => [1,4,2,3,7,5,8,6] => [1,4,2,3,7,8,5,6] => ([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,1,3,8,7,6,2,4] => [1,3,8,2,4,5,6,7] => [1,8,3,2,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,7,6,2,4] => [1,5,2,4,3,8,6,7] => [1,5,4,2,3,8,6,7] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,1,8,4,7,2,6,3] => [1,8,2,6,3,4,7,5] => [1,8,6,3,7,2,4,5] => ([(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)
[5,8,7,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8)
[6,8,5,1,2,4,7,3] => [1,2,4,7,3,5,6,8] => [1,2,7,4,3,5,6,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,3,1,8,7] => [1,8,2,4,3,5,6,7] => [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)
[5,6,1,2,4,3,8,7] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => ([(2,3),(4,7),(5,7),(6,7)],8)
[4,5,8,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,8,7,4,6] => [1,3,2,5,8,4,6,7] => [1,3,2,8,5,4,6,7] => ([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,7,4,6,2] => [1,8,2,3,5,4,6,7] => [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)
[3,5,1,8,7,2,6,4] => [1,8,2,6,3,5,4,7] => [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)
[4,3,6,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,8,7,1,3,6] => [1,3,6,2,8,4,5,7] => [1,6,3,8,4,2,5,7] => ([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,8,7,1,6,4] => [1,6,2,5,8,3,4,7] => [1,6,8,3,2,5,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,7,6,2,1,5] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,1,4,8,7,6,2,5] => [1,4,8,2,5,3,6,7] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,5,1,2] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => ([(4,7),(5,7),(6,7)],8)
[1,3,4,8,7,6,2,5] => [1,3,4,8,2,5,6,7] => [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)
[3,4,8,7,6,2,5,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8)
[3,2,5,8,7,4,6,1] => [1,2,5,8,3,4,6,7] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => [1,7,2,3,4,8,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,3,5,8,7,4,6] => [1,3,5,8,2,4,6,7] => [1,8,3,2,5,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,7,5,8,6,4,3] => [1,2,7,3,4,5,8,6] => [1,2,7,3,4,8,5,6] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,1,3,7,5,2,4] => [1,3,7,2,4,5,6,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,2,6,5,4] => [1,2,6,3,7,8,4,5] => [1,2,6,8,4,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,7,8,2,6,5,4] => [1,3,7,8,2,6,4,5] => [1,8,3,6,4,2,7,5] => ([(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)
[2,3,7,8,1,6,5,4] => [1,6,2,3,7,8,4,5] => [1,6,2,8,4,3,7,5] => ([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,1,3,6,5,4] => [1,3,6,2,7,8,4,5] => [1,6,3,8,4,2,7,5] => ([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,6,7,3,5,4] => [1,2,6,7,3,5,4,8] => [1,2,7,5,3,6,4,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,7,5,3,4] => [1,2,6,7,3,4,5,8] => [1,2,7,3,4,6,5,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,3,6,4] => [1,3,6,2,5,7,4,8] => [1,6,3,7,2,5,4,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,6,8,3,7,1,5,4] => [1,5,2,6,8,3,7,4] => [1,5,8,7,2,6,3,4] => ([(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)
[2,8,6,4,7,1,5,3] => [1,5,2,8,3,4,7,6] => [1,5,8,3,2,7,4,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,4,1,7,5,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,3,7,4,1,5,2] => [1,5,2,3,7,4,6,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,3,7,5,1,4] => [1,4,2,6,8,3,7,5] => [1,4,8,2,7,6,3,5] => ([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,1,6,3,4] => [1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,2,3,6,1,5] => [1,5,2,3,6,4,7,8] => [1,5,2,6,3,4,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[8,3,5,7,4,1,6,2] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,4,7,1,6,3] => [1,6,2,4,7,3,5,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,5,7,1,6,4] => [1,6,2,3,5,7,4,8] => [1,6,2,7,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,4,7,3,6,1,5] => [1,5,2,4,7,3,6,8] => [1,5,7,2,4,3,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,1,4,6,3,5] => [1,4,6,2,7,3,5,8] => [1,6,7,4,3,2,5,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,2,4,6,3,5] => [1,2,4,6,3,5,7,8] => [1,2,6,4,3,5,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,6,2,3,5] => [1,4,6,2,3,5,7,8] => [1,6,2,4,3,5,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,6,2,5] => [1,3,6,2,5,4,7,8] => [1,6,3,5,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,2,5,4] => [1,6,8,2,5,3,7,4] => [1,8,5,7,2,6,3,4] => ([(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),(5,7),(6,7)],8)
[8,5,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => [1,6,2,3,7,4,5,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,5,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => [1,2,6,3,7,4,5,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,8,2,7,4,3] => [1,6,2,7,3,4,5,8] => [1,6,7,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => [1,7,8,3,4,5,2,6] => ([(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)
[1,8,4,5,7,2,6,3] => [1,8,2,6,3,4,5,7] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,3,6,1,2,4] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => ([(2,7),(3,6),(4,5)],8)
[8,3,5,7,1,6,2,4] => [1,6,2,4,3,5,7,8] => [1,6,4,2,3,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,7,5,2,4] => [1,6,8,2,4,3,7,5] => [1,8,4,2,7,6,3,5] => ([(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)
[6,3,8,2,7,5,1,4] => [1,4,2,7,3,8,5,6] => [1,4,7,2,8,5,3,6] => ([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => [1,5,7,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,3,1,5,2] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => ([(2,3),(4,7),(5,7),(6,7)],8)
[8,4,5,7,3,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,5,7,1,6,3] => [1,6,2,5,7,3,4,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,4,7,2,6,1,5] => [1,5,2,6,3,4,7,8] => [1,5,6,3,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,3,4,6,2,5] => [1,3,4,6,2,5,7,8] => [1,6,3,4,2,5,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,7,1,6,3] => [1,6,2,8,3,4,5,7] => [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)
[8,7,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => ([(3,4),(5,7),(6,7)],8)
[5,8,7,2,3,6,1,4] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => ([(1,4),(2,3),(5,7),(6,7)],8)
[8,7,2,3,4,6,1,5] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[8,7,2,3,6,1,4,5] => [1,4,5,2,3,6,7,8] => [1,5,2,4,3,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
- the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
- the set of left-to-right maxima of π is the set of maximal elements in the cycles of χ(π),
- the set of global ascent of π is the set of global ascent of χ(π),
- the set of maximal elements in the decreasing runs of π is the set of weak deficiency positions of χ(π), and
- the set of minimal elements in the decreasing runs of π is the set of weak deficiency values of χ(π).
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of {1,…,n}, this is the graph with vertices {1,…,n}, where (i,j) is an edge if and only if it is an inversion of the permutation.
For a permutation of {1,…,n}, this is the graph with vertices {1,…,n}, where (i,j) is an edge if and only if it is an inversion of the permutation.
searching the database
Sorry, this map was not found in the database.