Identifier
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00326: Permutations —weak order rowmotion⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00326: Permutations —weak order rowmotion⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
[1] => [1] => [1] => ([],1)
[1,2] => [2,1] => [1,2] => ([],2)
[2,1] => [1,2] => [2,1] => ([(0,1)],2)
[1,2,3] => [3,2,1] => [1,2,3] => ([],3)
[1,3,2] => [2,3,1] => [2,1,3] => ([(1,2)],3)
[2,1,3] => [3,1,2] => [1,3,2] => ([(1,2)],3)
[2,3,1] => [1,3,2] => [2,3,1] => ([(0,2),(1,2)],3)
[3,1,2] => [2,1,3] => [3,1,2] => ([(0,2),(1,2)],3)
[3,2,1] => [1,2,3] => [3,2,1] => ([(0,1),(0,2),(1,2)],3)
[1,2,3,4] => [4,3,2,1] => [1,2,3,4] => ([],4)
[1,2,4,3] => [3,4,2,1] => [3,1,2,4] => ([(1,3),(2,3)],4)
[1,3,2,4] => [4,2,3,1] => [2,4,1,3] => ([(0,3),(1,2),(2,3)],4)
[1,3,4,2] => [2,4,3,1] => [2,1,3,4] => ([(2,3)],4)
[1,4,2,3] => [3,2,4,1] => [2,3,1,4] => ([(1,3),(2,3)],4)
[1,4,3,2] => [2,3,4,1] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4)
[2,1,3,4] => [4,3,1,2] => [1,3,4,2] => ([(1,3),(2,3)],4)
[2,1,4,3] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4)
[2,3,1,4] => [4,1,3,2] => [1,4,2,3] => ([(1,3),(2,3)],4)
[2,3,4,1] => [1,4,3,2] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4)
[2,4,1,3] => [3,1,4,2] => [1,3,2,4] => ([(2,3)],4)
[2,4,3,1] => [1,3,4,2] => [3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[3,1,2,4] => [4,2,1,3] => [1,2,4,3] => ([(2,3)],4)
[3,1,4,2] => [2,4,1,3] => [2,1,4,3] => ([(0,3),(1,2)],4)
[3,2,1,4] => [4,1,2,3] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4)
[3,2,4,1] => [1,4,2,3] => [2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4)
[3,4,1,2] => [2,1,4,3] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4)
[3,4,2,1] => [1,2,4,3] => [3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,1,2,3] => [3,2,1,4] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4)
[4,1,3,2] => [2,3,1,4] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4)
[4,2,1,3] => [3,1,2,4] => [4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4)
[4,2,3,1] => [1,3,2,4] => [4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,3,1,2] => [2,1,3,4] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[4,3,2,1] => [1,2,3,4] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[1,2,3,4,5] => [5,4,3,2,1] => [1,2,3,4,5] => ([],5)
[1,2,3,5,4] => [4,5,3,2,1] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5)
[1,2,4,3,5] => [5,3,4,2,1] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[1,2,4,5,3] => [3,5,4,2,1] => [3,1,2,4,5] => ([(2,4),(3,4)],5)
[1,2,5,3,4] => [4,3,5,2,1] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5)
[1,2,5,4,3] => [3,4,5,2,1] => [4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,2,4,5] => [5,4,2,3,1] => [2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[1,3,2,5,4] => [4,5,2,3,1] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[1,3,4,2,5] => [5,2,4,3,1] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,3,4,5,2] => [2,5,4,3,1] => [2,1,3,4,5] => ([(3,4)],5)
[1,3,5,2,4] => [4,2,5,3,1] => [2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5)
[1,3,5,4,2] => [2,4,5,3,1] => [4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,2,3,5] => [5,3,2,4,1] => [2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[1,4,2,5,3] => [3,5,2,4,1] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[1,4,3,2,5] => [5,2,3,4,1] => [2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[1,4,3,5,2] => [2,5,3,4,1] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[1,4,5,2,3] => [3,2,5,4,1] => [2,3,1,4,5] => ([(2,4),(3,4)],5)
[1,4,5,3,2] => [2,3,5,4,1] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5)
[1,5,2,3,4] => [4,3,2,5,1] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5)
[1,5,2,4,3] => [3,4,2,5,1] => [3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,2,4] => [4,2,3,5,1] => [2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,4,2] => [2,4,3,5,1] => [3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,2,3] => [3,2,4,5,1] => [4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,4,3,2] => [2,3,4,5,1] => [4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,1,3,4,5] => [5,4,3,1,2] => [1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5)
[2,1,3,5,4] => [4,5,3,1,2] => [4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[2,1,4,3,5] => [5,3,4,1,2] => [3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[2,1,4,5,3] => [3,5,4,1,2] => [3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5)
[2,1,5,3,4] => [4,3,5,1,2] => [3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,1,5,4,3] => [3,4,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[2,3,1,4,5] => [5,4,1,3,2] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5)
[2,3,1,5,4] => [4,5,1,3,2] => [4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[2,3,4,1,5] => [5,1,4,3,2] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5)
[2,3,4,5,1] => [1,5,4,3,2] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[2,3,5,1,4] => [4,1,5,3,2] => [1,4,2,3,5] => ([(2,4),(3,4)],5)
[2,3,5,4,1] => [1,4,5,3,2] => [4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,3,5] => [5,3,1,4,2] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5)
[2,4,1,5,3] => [3,5,1,4,2] => [3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5)
[2,4,3,1,5] => [5,1,3,4,2] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,5,1] => [1,5,3,4,2] => [3,5,2,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,5,1,3] => [3,1,5,4,2] => [1,3,2,4,5] => ([(3,4)],5)
[2,4,5,3,1] => [1,3,5,4,2] => [3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,1,3,4] => [4,3,1,5,2] => [1,3,4,2,5] => ([(2,4),(3,4)],5)
[2,5,1,4,3] => [3,4,1,5,2] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5)
[2,5,3,1,4] => [4,1,3,5,2] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5)
[2,5,3,4,1] => [1,4,3,5,2] => [3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,5,4,1,3] => [3,1,4,5,2] => [4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[2,5,4,3,1] => [1,3,4,5,2] => [4,3,2,5,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,1,2,4,5] => [5,4,2,1,3] => [1,2,4,5,3] => ([(2,4),(3,4)],5)
[3,1,2,5,4] => [4,5,2,1,3] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5)
[3,1,4,2,5] => [5,2,4,1,3] => [2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[3,1,4,5,2] => [2,5,4,1,3] => [2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5)
[3,1,5,2,4] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
[3,1,5,4,2] => [2,4,5,1,3] => [4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[3,2,1,4,5] => [5,4,1,2,3] => [1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,1,5,4] => [4,5,1,2,3] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[3,2,4,1,5] => [5,1,4,2,3] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,2,4,5,1] => [1,5,4,2,3] => [2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,5,1,4] => [4,1,5,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5)
[3,2,5,4,1] => [1,4,5,2,3] => [4,2,5,3,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,1,2,5] => [5,2,1,4,3] => [1,2,5,3,4] => ([(2,4),(3,4)],5)
[3,4,1,5,2] => [2,5,1,4,3] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5)
[3,4,2,1,5] => [5,1,2,4,3] => [1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,2,5,1] => [1,5,2,4,3] => [2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,4,5,1,2] => [2,1,5,4,3] => [3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[3,4,5,2,1] => [1,2,5,4,3] => [3,4,5,2,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,1,2,4] => [4,2,1,5,3] => [1,2,4,3,5] => ([(3,4)],5)
[3,5,1,4,2] => [2,4,1,5,3] => [2,1,4,3,5] => ([(1,4),(2,3)],5)
>>> Load all 5913 entries. <<<
[3,5,2,1,4] => [4,1,2,5,3] => [1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[3,5,2,4,1] => [1,4,2,5,3] => [2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[3,5,4,1,2] => [2,1,4,5,3] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[3,5,4,2,1] => [1,2,4,5,3] => [4,3,5,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,1,2,3,5] => [5,3,2,1,4] => [1,2,3,5,4] => ([(3,4)],5)
[4,1,2,5,3] => [3,5,2,1,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5)
[4,1,3,2,5] => [5,2,3,1,4] => [2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
[4,1,3,5,2] => [2,5,3,1,4] => [2,1,3,5,4] => ([(1,4),(2,3)],5)
[4,1,5,2,3] => [3,2,5,1,4] => [2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5)
[4,1,5,3,2] => [2,3,5,1,4] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5)
[4,2,1,3,5] => [5,3,1,2,4] => [1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5)
[4,2,1,5,3] => [3,5,1,2,4] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[4,2,3,1,5] => [5,1,3,2,4] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,3,5,1] => [1,5,3,2,4] => [2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[4,2,5,1,3] => [3,1,5,2,4] => [1,3,2,5,4] => ([(1,4),(2,3)],5)
[4,2,5,3,1] => [1,3,5,2,4] => [3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[4,3,1,2,5] => [5,2,1,3,4] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5)
[4,3,1,5,2] => [2,5,1,3,4] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5)
[4,3,2,1,5] => [5,1,2,3,4] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,2,5,1] => [1,5,2,3,4] => [2,5,4,3,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,3,5,1,2] => [2,1,5,3,4] => [3,5,4,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,3,5,2,1] => [1,2,5,3,4] => [3,5,4,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[4,5,1,2,3] => [3,2,1,5,4] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,1,3,2] => [2,3,1,5,4] => [4,5,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,2,1,3] => [3,1,2,5,4] => [4,5,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[4,5,2,3,1] => [1,3,2,5,4] => [4,5,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,5,3,1,2] => [2,1,3,5,4] => [4,5,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[4,5,3,2,1] => [1,2,3,5,4] => [4,5,3,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,2,3,4] => [4,3,2,1,5] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5)
[5,1,2,4,3] => [3,4,2,1,5] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,3,2,4] => [4,2,3,1,5] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,3,4,2] => [2,4,3,1,5] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,2,3] => [3,2,4,1,5] => [5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,1,4,3,2] => [2,3,4,1,5] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,1,3,4] => [4,3,1,2,5] => [5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,1,4,3] => [3,4,1,2,5] => [5,3,1,4,2] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,3,1,4] => [4,1,3,2,5] => [5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,3,4,1] => [1,4,3,2,5] => [5,2,3,4,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,4,1,3] => [3,1,4,2,5] => [5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,2,4,3,1] => [1,3,4,2,5] => [5,3,2,4,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,1,2,4] => [4,2,1,3,5] => [5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,1,4,2] => [2,4,1,3,5] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
[5,3,2,1,4] => [4,1,2,3,5] => [5,1,4,3,2] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,2,4,1] => [1,4,2,3,5] => [5,2,4,3,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,3,4,1,2] => [2,1,4,3,5] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[5,3,4,2,1] => [1,2,4,3,5] => [5,3,4,2,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,1,2,3] => [3,2,1,4,5] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,1,3,2] => [2,3,1,4,5] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,2,1,3] => [3,1,2,4,5] => [5,4,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,2,3,1] => [1,3,2,4,5] => [5,4,2,3,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,3,1,2] => [2,1,3,4,5] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[5,4,3,2,1] => [1,2,3,4,5] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => ([],6)
[1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,3,5,6,4] => [4,6,5,3,2,1] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6)
[1,2,3,6,4,5] => [5,4,6,3,2,1] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,3,6,5,4] => [4,5,6,3,2,1] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,4,3,6,5] => [5,6,3,4,2,1] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,2,4,5,6,3] => [3,6,5,4,2,1] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6)
[1,2,4,6,3,5] => [5,3,6,4,2,1] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,2,4,6,5,3] => [3,5,6,4,2,1] => [5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,3,4,6] => [6,4,3,5,2,1] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,2,5,3,6,4] => [4,6,3,5,2,1] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,2,5,4,3,6] => [6,3,4,5,2,1] => [3,6,4,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,2,5,4,6,3] => [3,6,4,5,2,1] => [4,6,3,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,6,3,4] => [4,3,6,5,2,1] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,6,4,3] => [3,4,6,5,2,1] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,4,5] => [5,4,3,6,2,1] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,6,3,5,4] => [4,5,3,6,2,1] => [4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,6,4,3,5] => [5,3,4,6,2,1] => [3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,2,6,4,5,3] => [3,5,4,6,2,1] => [4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,2,6,5,3,4] => [4,3,5,6,2,1] => [5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,2,6,5,4,3] => [3,4,5,6,2,1] => [5,4,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,4,5,6] => [6,5,4,2,3,1] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,2,4,6,1,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,2,5,6,4] => [4,6,5,2,3,1] => [4,2,5,6,1,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[1,3,2,6,4,5] => [5,4,6,2,3,1] => [4,5,2,6,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[1,3,2,6,5,4] => [4,5,6,2,3,1] => [5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,4,2,5,6] => [6,5,2,4,3,1] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,3,4,5,6,2] => [2,6,5,4,3,1] => [2,1,3,4,5,6] => ([(4,5)],6)
[1,3,4,6,2,5] => [5,2,6,4,3,1] => [2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,3,4,6,5,2] => [2,5,6,4,3,1] => [5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[1,3,5,2,6,4] => [4,6,2,5,3,1] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[1,3,5,4,2,6] => [6,2,4,5,3,1] => [2,6,4,1,3,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,4,6,2] => [2,6,4,5,3,1] => [4,6,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,3,5,6,2,4] => [4,2,6,5,3,1] => [2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6)
[1,3,5,6,4,2] => [2,4,6,5,3,1] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,4,5] => [5,4,2,6,3,1] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,3,6,2,5,4] => [4,5,2,6,3,1] => [4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,6,4,2,5] => [5,2,4,6,3,1] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,6,4,5,2] => [2,5,4,6,3,1] => [4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,3,6,5,2,4] => [4,2,5,6,3,1] => [5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,4,2] => [2,4,5,6,3,1] => [5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,5,6] => [6,5,3,2,4,1] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,2,3,6,5] => [5,6,3,2,4,1] => [5,2,3,6,1,4] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,5,6,3] => [3,6,5,2,4,1] => [3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[1,4,2,6,3,5] => [5,3,6,2,4,1] => [3,5,2,6,1,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,6,5,3] => [3,5,6,2,4,1] => [5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,2,5,6] => [6,5,2,3,4,1] => [2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,3,2,6,5] => [5,6,2,3,4,1] => [5,2,6,3,1,4] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,5,2,6] => [6,2,5,3,4,1] => [2,6,3,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,3,5,6,2] => [2,6,5,3,4,1] => [3,5,6,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,3,6,2,5] => [5,2,6,3,4,1] => [2,5,3,6,1,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,3,6,5,2] => [2,5,6,3,4,1] => [5,3,6,2,1,4] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[1,4,5,2,6,3] => [3,6,2,5,4,1] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,5,3,2,6] => [6,2,3,5,4,1] => [2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,5,3,6,2] => [2,6,3,5,4,1] => [3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,5,6,2,3] => [3,2,6,5,4,1] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6)
[1,4,5,6,3,2] => [2,3,6,5,4,1] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6)
[1,4,6,2,3,5] => [5,3,2,6,4,1] => [2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[1,4,6,2,5,3] => [3,5,2,6,4,1] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[1,4,6,3,2,5] => [5,2,3,6,4,1] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,6,3,5,2] => [2,5,3,6,4,1] => [3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,6,5,2,3] => [3,2,5,6,4,1] => [5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,3,2] => [2,3,5,6,4,1] => [5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,4,6] => [6,4,3,2,5,1] => [2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[1,5,2,3,6,4] => [4,6,3,2,5,1] => [4,2,3,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,2,4,3,6] => [6,3,4,2,5,1] => [3,6,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,2,4,6,3] => [3,6,4,2,5,1] => [3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,5,2,6,3,4] => [4,3,6,2,5,1] => [3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,2,6,4,3] => [3,4,6,2,5,1] => [4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,2,4,6] => [6,4,2,3,5,1] => [2,4,6,3,1,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,2,6,4] => [4,6,2,3,5,1] => [4,2,6,3,1,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [2,6,3,4,1,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,4,6,2] => [2,6,4,3,5,1] => [3,4,6,2,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,6,2,4] => [4,2,6,3,5,1] => [2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,5,3,6,4,2] => [2,4,6,3,5,1] => [4,3,6,2,1,5] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,2,3,6] => [6,3,2,4,5,1] => [2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,5,4,2,6,3] => [3,6,2,4,5,1] => [3,2,6,4,1,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [2,6,4,3,1,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,3,6,2] => [2,6,3,4,5,1] => [3,6,4,2,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,6,2,3] => [3,2,6,4,5,1] => [4,6,2,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,4,6,3,2] => [2,3,6,4,5,1] => [4,6,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,2,3,4] => [4,3,2,6,5,1] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6)
[1,5,6,2,4,3] => [3,4,2,6,5,1] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,2,4] => [4,2,3,6,5,1] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,4,2] => [2,4,3,6,5,1] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,2,3] => [3,2,4,6,5,1] => [4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,3,2] => [2,3,4,6,5,1] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,4,5] => [5,4,3,2,6,1] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,5,4] => [4,5,3,2,6,1] => [4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,3,5] => [5,3,4,2,6,1] => [3,5,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,5,3] => [3,5,4,2,6,1] => [3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,3,4] => [4,3,5,2,6,1] => [3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,4,3] => [3,4,5,2,6,1] => [4,3,2,5,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,4,5] => [5,4,2,3,6,1] => [2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,5,4] => [4,5,2,3,6,1] => [4,2,5,3,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,2,5] => [5,2,4,3,6,1] => [2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,5,2] => [2,5,4,3,6,1] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,2,4] => [4,2,5,3,6,1] => [2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,4,2] => [2,4,5,3,6,1] => [4,3,5,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,3,5] => [5,3,2,4,6,1] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,5,3] => [3,5,2,4,6,1] => [3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,6,4,3,2,5] => [5,2,3,4,6,1] => [2,5,4,3,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,5,2] => [2,5,3,4,6,1] => [3,5,4,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,5,2,3] => [3,2,5,4,6,1] => [4,5,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2] => [2,3,5,4,6,1] => [4,5,3,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,3,4] => [4,3,2,5,6,1] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,2,4,3] => [3,4,2,5,6,1] => [5,3,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,2,4] => [4,2,3,5,6,1] => [5,2,4,3,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,4,2] => [2,4,3,5,6,1] => [5,3,4,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,2,3] => [3,2,4,5,6,1] => [5,4,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,4,3,2] => [2,3,4,5,6,1] => [5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,4,5,6] => [6,5,4,3,1,2] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [5,1,3,4,6,2] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,4,6] => [6,4,5,3,1,2] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,6,4] => [4,6,5,3,1,2] => [4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,3,6,4,5] => [5,4,6,3,1,2] => [4,5,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,1,3,6,5,4] => [4,5,6,3,1,2] => [5,4,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,3,5,6] => [6,5,3,4,1,2] => [3,5,6,1,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,5,3,6] => [6,3,5,4,1,2] => [3,6,1,4,5,2] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,5,6,3] => [3,6,5,4,1,2] => [3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[2,1,4,6,3,5] => [5,3,6,4,1,2] => [3,5,1,4,6,2] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,4,6,5,3] => [3,5,6,4,1,2] => [5,3,1,4,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,5,3,4,6] => [6,4,3,5,1,2] => [3,4,6,1,5,2] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[2,1,5,3,6,4] => [4,6,3,5,1,2] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,1,5,4,3,6] => [6,3,4,5,1,2] => [3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,4,6,3] => [3,6,4,5,1,2] => [4,6,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,5,6,3,4] => [4,3,6,5,1,2] => [3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,1,5,6,4,3] => [3,4,6,5,1,2] => [4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,1,6,3,4,5] => [5,4,3,6,1,2] => [3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,3,5,4] => [4,5,3,6,1,2] => [4,3,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,4,3,5] => [5,3,4,6,1,2] => [3,5,4,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,1,6,4,5,3] => [3,5,4,6,1,2] => [4,5,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,5,3,4] => [4,3,5,6,1,2] => [5,3,4,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,5,4,3] => [3,4,5,6,1,2] => [5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,4,5,6] => [6,5,4,1,3,2] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,4,6,5] => [5,6,4,1,3,2] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,3,1,5,4,6] => [6,4,5,1,3,2] => [4,6,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,5,6,4] => [4,6,5,1,3,2] => [4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,1,6,5,4] => [4,5,6,1,3,2] => [5,4,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,1,5,6] => [6,5,1,4,3,2] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,4,1,6,5] => [5,6,1,4,3,2] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,6,1] => [1,6,5,4,3,2] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,6,1,5] => [5,1,6,4,3,2] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6)
[2,3,4,6,5,1] => [1,5,6,4,3,2] => [5,2,3,4,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,4,6] => [6,4,1,5,3,2] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,5,1,6,4] => [4,6,1,5,3,2] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[2,3,5,4,1,6] => [6,1,4,5,3,2] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,6,1] => [1,6,4,5,3,2] => [4,6,2,3,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,6,1,4] => [4,1,6,5,3,2] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6)
[2,3,5,6,4,1] => [1,4,6,5,3,2] => [4,2,3,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[2,3,6,1,5,4] => [4,5,1,6,3,2] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,1,5] => [5,1,4,6,3,2] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,4,5,1] => [1,5,4,6,3,2] => [4,5,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,3,6,5,1,4] => [4,1,5,6,3,2] => [5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,5,4,1] => [1,4,5,6,3,2] => [5,4,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,3,5,6] => [6,5,3,1,4,2] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,4,1,3,6,5] => [5,6,3,1,4,2] => [5,1,3,6,2,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,4,1,5,3,6] => [6,3,5,1,4,2] => [3,6,1,5,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,5,6,3] => [3,6,5,1,4,2] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
[2,4,1,6,5,3] => [3,5,6,1,4,2] => [5,3,1,6,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,5,6] => [6,5,1,3,4,2] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,1,6,5] => [5,6,1,3,4,2] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,3,5,1,6] => [6,1,5,3,4,2] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,6,1] => [1,6,5,3,4,2] => [3,5,6,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,6,1,5] => [5,1,6,3,4,2] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,4,3,6,5,1] => [1,5,6,3,4,2] => [5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,1,3,6] => [6,3,1,5,4,2] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,4,5,1,6,3] => [3,6,1,5,4,2] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[2,4,5,3,1,6] => [6,1,3,5,4,2] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,6,1] => [1,6,3,5,4,2] => [3,6,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,6,1,3] => [3,1,6,5,4,2] => [1,3,2,4,5,6] => ([(4,5)],6)
[2,4,5,6,3,1] => [1,3,6,5,4,2] => [3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6)
[2,4,6,1,5,3] => [3,5,1,6,4,2] => [3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[2,4,6,3,1,5] => [5,1,3,6,4,2] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,3,5,1] => [1,5,3,6,4,2] => [3,5,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,1,3] => [3,1,5,6,4,2] => [5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,3,1] => [1,3,5,6,4,2] => [5,3,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,4,6] => [6,4,3,1,5,2] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,5,1,3,6,4] => [4,6,3,1,5,2] => [4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,4,3,6] => [6,3,4,1,5,2] => [3,6,1,4,2,5] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,1,4,6,3] => [3,6,4,1,5,2] => [3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[2,5,1,6,3,4] => [4,3,6,1,5,2] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[2,5,1,6,4,3] => [3,4,6,1,5,2] => [4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[2,5,3,1,4,6] => [6,4,1,3,5,2] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,3,1,6,4] => [4,6,1,3,5,2] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,3,4,1,6] => [6,1,4,3,5,2] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,6,1] => [1,6,4,3,5,2] => [3,4,6,2,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,6,1,4] => [4,1,6,3,5,2] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,5,3,6,4,1] => [1,4,6,3,5,2] => [4,3,6,2,5,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,1,3,6] => [6,3,1,4,5,2] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,4,1,6,3] => [3,6,1,4,5,2] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,1,6] => [6,1,3,4,5,2] => [1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,6,1] => [1,6,3,4,5,2] => [3,6,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,6,1,3] => [3,1,6,4,5,2] => [4,6,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,6,3,1] => [1,3,6,4,5,2] => [4,6,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,1,3,4] => [4,3,1,6,5,2] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6)
[2,5,6,1,4,3] => [3,4,1,6,5,2] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6)
[2,5,6,3,1,4] => [4,1,3,6,5,2] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6)
[2,5,6,3,4,1] => [1,4,3,6,5,2] => [3,4,2,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,1,3] => [3,1,4,6,5,2] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,3,1] => [1,3,4,6,5,2] => [4,3,2,5,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,4,5] => [5,4,3,1,6,2] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6)
[2,6,1,3,5,4] => [4,5,3,1,6,2] => [4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,1,4,3,5] => [5,3,4,1,6,2] => [3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,1,4,5,3] => [3,5,4,1,6,2] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[2,6,1,5,3,4] => [4,3,5,1,6,2] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,1,5,4,3] => [3,4,5,1,6,2] => [4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,3,1,4,5] => [5,4,1,3,6,2] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,1,5,4] => [4,5,1,3,6,2] => [4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,4,5,1] => [1,5,4,3,6,2] => [3,4,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,5,1,4] => [4,1,5,3,6,2] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,6,3,5,4,1] => [1,4,5,3,6,2] => [4,3,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,3,5] => [5,3,1,4,6,2] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,5,3] => [3,5,1,4,6,2] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,3,5,1] => [1,5,3,4,6,2] => [3,5,4,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,1,3] => [3,1,5,4,6,2] => [4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,4,5,3,1] => [1,3,5,4,6,2] => [4,5,3,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,3,4] => [4,3,1,5,6,2] => [5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,1,4,3] => [3,4,1,5,6,2] => [5,3,1,4,2,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,1,4] => [4,1,3,5,6,2] => [5,1,4,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,3,4,1] => [1,4,3,5,6,2] => [5,3,4,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,1,3] => [3,1,4,5,6,2] => [5,4,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,5,4,3,1] => [1,3,4,5,6,2] => [5,4,3,2,6,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,4,5,6] => [6,5,4,2,1,3] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6)
[3,1,2,4,6,5] => [5,6,4,2,1,3] => [5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,2,5,4,6] => [6,4,5,2,1,3] => [4,6,1,2,5,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[3,1,2,6,4,5] => [5,4,6,2,1,3] => [4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,1,2,6,5,4] => [4,5,6,2,1,3] => [5,4,1,2,6,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,2,5,6] => [6,5,2,4,1,3] => [2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,1,4,2,6,5] => [5,6,2,4,1,3] => [5,2,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,4,5,2,6] => [6,2,5,4,1,3] => [2,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,4,5,6,2] => [2,6,5,4,1,3] => [2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6)
[3,1,4,6,2,5] => [5,2,6,4,1,3] => [2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,6,5,2] => [2,5,6,4,1,3] => [5,2,1,4,6,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,2,4,6] => [6,4,2,5,1,3] => [2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)
[3,1,5,4,2,6] => [6,2,4,5,1,3] => [2,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,5,4,6,2] => [2,6,4,5,1,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,5,6,2,4] => [4,2,6,5,1,3] => [2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,1,5,6,4,2] => [2,4,6,5,1,3] => [4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,1,6,2,4,5] => [5,4,2,6,1,3] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,2,5,4] => [4,5,2,6,1,3] => [4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,4,2,5] => [5,2,4,6,1,3] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,6,4,5,2] => [2,5,4,6,1,3] => [4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,1,6,5,2,4] => [4,2,5,6,1,3] => [5,2,4,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,6,5,4,2] => [2,4,5,6,1,3] => [5,4,2,1,6,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,5,6] => [6,5,4,1,2,3] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,6,5] => [5,6,4,1,2,3] => [5,1,4,6,3,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,5,4,6] => [6,4,5,1,2,3] => [4,6,1,5,3,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,1,5,6,4] => [4,6,5,1,2,3] => [4,1,5,6,3,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,6,4,5] => [5,4,6,1,2,3] => [4,5,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [5,4,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,1,5,6] => [6,5,1,4,2,3] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,1,6,5] => [5,6,1,4,2,3] => [5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,6,1] => [1,6,5,4,2,3] => [2,4,5,6,3,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,1,5] => [5,1,6,4,2,3] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,4,6,5,1] => [1,5,6,4,2,3] => [5,2,4,6,3,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,1,4,6] => [6,4,1,5,2,3] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,5,1,6,4] => [4,6,1,5,2,3] => [4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,5,4,1,6] => [6,1,4,5,2,3] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,6,1] => [1,6,4,5,2,3] => [4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,6,1,4] => [4,1,6,5,2,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6)
[3,2,5,6,4,1] => [1,4,6,5,2,3] => [4,2,5,6,3,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,1,4,5] => [5,4,1,6,2,3] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,4,1,5] => [5,1,4,6,2,3] => [1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,6,4,5,1] => [1,5,4,6,2,3] => [4,5,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,5,1,4] => [4,1,5,6,2,3] => [5,1,4,2,6,3] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,5,4,1] => [1,4,5,6,2,3] => [5,4,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,2,5,6] => [6,5,2,1,4,3] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,2,6,5] => [5,6,2,1,4,3] => [5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,1,5,2,6] => [6,2,5,1,4,3] => [2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[3,4,1,5,6,2] => [2,6,5,1,4,3] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,6,2,5] => [5,2,6,1,4,3] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[3,4,1,6,5,2] => [2,5,6,1,4,3] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,1,5,6] => [6,5,1,2,4,3] => [1,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,4,2,1,6,5] => [5,6,1,2,4,3] => [5,1,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,6,1] => [1,6,5,2,4,3] => [2,5,6,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,4,2,6,1,5] => [5,1,6,2,4,3] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,4,2,6,5,1] => [1,5,6,2,4,3] => [5,2,6,3,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,1,2,6] => [6,2,1,5,4,3] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6)
[3,4,5,1,6,2] => [2,6,1,5,4,3] => [2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,2,6,1] => [1,6,2,5,4,3] => [2,6,3,4,5,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,5,6,1,2] => [2,1,6,5,4,3] => [3,4,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,5,6,2,1] => [1,2,6,5,4,3] => [3,4,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,1,2,5] => [5,2,1,6,4,3] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6)
[3,4,6,1,5,2] => [2,5,1,6,4,3] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6)
[3,4,6,2,1,5] => [5,1,2,6,4,3] => [1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,2,5,1] => [1,5,2,6,4,3] => [2,5,3,4,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,6,5,1,2] => [2,1,5,6,4,3] => [5,3,4,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,6,5,2,1] => [1,2,5,6,4,3] => [5,3,4,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,4,6] => [6,4,2,1,5,3] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6)
[3,5,1,2,6,4] => [4,6,2,1,5,3] => [4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[3,5,1,4,2,6] => [6,2,4,1,5,3] => [2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,5,1,4,6,2] => [2,6,4,1,5,3] => [2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[3,5,1,6,4,2] => [2,4,6,1,5,3] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[3,5,2,1,4,6] => [6,4,1,2,5,3] => [1,4,6,3,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,6,4] => [4,6,1,2,5,3] => [4,1,6,3,5,2] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,5,2,4,1,6] => [6,1,4,2,5,3] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,6,1] => [1,6,4,2,5,3] => [2,4,6,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,1,4] => [4,1,6,2,5,3] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6)
[3,5,2,6,4,1] => [1,4,6,2,5,3] => [4,2,6,3,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,5,4,1,2,6] => [6,2,1,4,5,3] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,6,2] => [2,6,1,4,5,3] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,1,6] => [6,1,2,4,5,3] => [1,6,4,3,5,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,6,1] => [1,6,2,4,5,3] => [2,6,4,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,6,1,2] => [2,1,6,4,5,3] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,4,6,2,1] => [1,2,6,4,5,3] => [4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [1,2,4,3,5,6] => ([(4,5)],6)
[3,5,6,1,4,2] => [2,4,1,6,5,3] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6)
[3,5,6,2,1,4] => [4,1,2,6,5,3] => [1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,2,4,1] => [1,4,2,6,5,3] => [2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,6,4,1,2] => [2,1,4,6,5,3] => [4,3,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,5,6,4,2,1] => [1,2,4,6,5,3] => [4,3,5,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,2,4,5] => [5,4,2,1,6,3] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6)
[3,6,1,2,5,4] => [4,5,2,1,6,3] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[3,6,1,4,2,5] => [5,2,4,1,6,3] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,6,1,4,5,2] => [2,5,4,1,6,3] => [2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6)
[3,6,1,5,2,4] => [4,2,5,1,6,3] => [2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6)
[3,6,1,5,4,2] => [2,4,5,1,6,3] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[3,6,2,1,4,5] => [5,4,1,2,6,3] => [1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,5,4] => [4,5,1,2,6,3] => [4,1,5,3,6,2] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,4,1,5] => [5,1,4,2,6,3] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,4,5,1] => [1,5,4,2,6,3] => [2,4,5,3,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6)
[3,6,2,5,4,1] => [1,4,5,2,6,3] => [4,2,5,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,1,2,5] => [5,2,1,4,6,3] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6)
[3,6,4,1,5,2] => [2,5,1,4,6,3] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[3,6,4,2,1,5] => [5,1,2,4,6,3] => [1,5,4,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,2,5,1] => [1,5,2,4,6,3] => [2,5,4,3,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,4,5,1,2] => [2,1,5,4,6,3] => [4,5,3,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,5,2,1] => [1,2,5,4,6,3] => [4,5,3,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,2,4] => [4,2,1,5,6,3] => [5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,1,4,2] => [2,4,1,5,6,3] => [5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [5,1,4,3,6,2] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,2,4,1] => [1,4,2,5,6,3] => [5,2,4,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,5,4,1,2] => [2,1,4,5,6,3] => [5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,6,5,4,2,1] => [1,2,4,5,6,3] => [5,4,3,6,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,3,5,6] => [6,5,3,2,1,4] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6)
[4,1,2,3,6,5] => [5,6,3,2,1,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[4,1,2,5,3,6] => [6,3,5,2,1,4] => [3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,1,2,6,3,5] => [5,3,6,2,1,4] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[4,1,2,6,5,3] => [3,5,6,2,1,4] => [5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,1,3,2,5,6] => [6,5,2,3,1,4] => [2,5,6,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,2,6,5] => [5,6,2,3,1,4] => [5,2,6,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,5,2,6] => [6,2,5,3,1,4] => [2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,3,5,6,2] => [2,6,5,3,1,4] => [2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[4,1,3,6,2,5] => [5,2,6,3,1,4] => [2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[4,1,3,6,5,2] => [2,5,6,3,1,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,5,2,3,6] => [6,3,2,5,1,4] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[4,1,5,3,2,6] => [6,2,3,5,1,4] => [2,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,3,6,2] => [2,6,3,5,1,4] => [3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,5,6,2,3] => [3,2,6,5,1,4] => [2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,1,5,6,3,2] => [2,3,6,5,1,4] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[4,1,6,2,3,5] => [5,3,2,6,1,4] => [2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[4,1,6,2,5,3] => [3,5,2,6,1,4] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[4,1,6,3,2,5] => [5,2,3,6,1,4] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,5,2] => [2,5,3,6,1,4] => [3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[4,1,6,5,2,3] => [3,2,5,6,1,4] => [5,2,3,1,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,1,6,5,3,2] => [2,3,5,6,1,4] => [5,3,2,1,6,4] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,3,5,6] => [6,5,3,1,2,4] => [1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,3,6,5] => [5,6,3,1,2,4] => [5,1,3,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,1,5,3,6] => [6,3,5,1,2,4] => [3,6,1,5,4,2] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,5,6,3] => [3,6,5,1,2,4] => [3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,1,6,3,5] => [5,3,6,1,2,4] => [3,5,1,6,4,2] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,1,5,6] => [6,5,1,3,2,4] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,3,1,6,5] => [5,6,1,3,2,4] => [5,1,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,1,6] => [6,1,5,3,2,4] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,6,1] => [1,6,5,3,2,4] => [2,3,5,6,4,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,6,1,5] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6)
[4,2,3,6,5,1] => [1,5,6,3,2,4] => [5,2,3,6,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,1,3,6] => [6,3,1,5,2,4] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,5,1,6,3] => [3,6,1,5,2,4] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[4,2,5,3,1,6] => [6,1,3,5,2,4] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,5,3,6,1] => [1,6,3,5,2,4] => [3,6,2,5,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,6,1,3] => [3,1,6,5,2,4] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6)
[4,2,5,6,3,1] => [1,3,6,5,2,4] => [3,2,5,6,4,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,1,3,5] => [5,3,1,6,2,4] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6)
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[4,2,6,3,1,5] => [5,1,3,6,2,4] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,6,3,5,1] => [1,5,3,6,2,4] => [3,5,2,6,4,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,2,6,5,1,3] => [3,1,5,6,2,4] => [5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,6,5,3,1] => [1,3,5,6,2,4] => [5,3,2,6,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,5,6] => [6,5,2,1,3,4] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,6,5] => [5,6,2,1,3,4] => [5,1,2,6,4,3] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,1,5,2,6] => [6,2,5,1,3,4] => [2,6,1,5,4,3] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,5,6,2] => [2,6,5,1,3,4] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,6,2,5] => [5,2,6,1,3,4] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[4,3,1,6,5,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,2,1,5,6] => [6,5,1,2,3,4] => [1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,1,6,5] => [5,6,1,2,3,4] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,6,1] => [1,6,5,2,3,4] => [2,5,6,4,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,1,5] => [5,1,6,2,3,4] => [1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[4,3,2,6,5,1] => [1,5,6,2,3,4] => [5,2,6,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,2,6] => [6,2,1,5,3,4] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,6,2] => [2,6,1,5,3,4] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,6,3,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,6,1] => [1,6,2,5,3,4] => [2,6,3,5,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,1,2] => [2,1,6,5,3,4] => [3,5,6,4,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,5,6,2,1] => [1,2,6,5,3,4] => [3,5,6,4,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,1,2,5] => [5,2,1,6,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6)
[4,3,6,1,5,2] => [2,5,1,6,3,4] => [2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6)
[4,3,6,2,1,5] => [5,1,2,6,3,4] => [1,5,3,6,4,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,2,5,1] => [1,5,2,6,3,4] => [2,5,3,6,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,6,5,1,2] => [2,1,5,6,3,4] => [5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,2,1] => [1,2,5,6,3,4] => [5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,2,3,6] => [6,3,2,1,5,4] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6)
[4,5,1,2,6,3] => [3,6,2,1,5,4] => [3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,5,1,3,2,6] => [6,2,3,1,5,4] => [2,6,4,5,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,3,6,2] => [2,6,3,1,5,4] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6)
[4,5,1,6,3,2] => [2,3,6,1,5,4] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[4,5,2,1,3,6] => [6,3,1,2,5,4] => [1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,6,3] => [3,6,1,2,5,4] => [3,1,6,4,5,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,2,3,1,6] => [6,1,3,2,5,4] => [1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,2,3,6,1] => [1,6,3,2,5,4] => [2,3,6,4,5,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,6,1,3] => [3,1,6,2,5,4] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6)
[4,5,2,6,3,1] => [1,3,6,2,5,4] => [3,2,6,4,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,1,2,6] => [6,2,1,3,5,4] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,1,6,2] => [2,6,1,3,5,4] => [2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,2,6,1] => [1,6,2,3,5,4] => [2,6,4,5,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,3,6,1,2] => [2,1,6,3,5,4] => [3,6,4,5,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,5,3,6,2,1] => [1,2,6,3,5,4] => [3,6,4,5,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[4,5,6,1,3,2] => [2,3,1,6,5,4] => [4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,2,1,3] => [3,1,2,6,5,4] => [4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,6,2,3,1] => [1,3,2,6,5,4] => [4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,6,3,1,2] => [2,1,3,6,5,4] => [4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,5,6,3,2,1] => [1,2,3,6,5,4] => [4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,2,3,5] => [5,3,2,1,6,4] => [1,2,3,5,4,6] => ([(4,5)],6)
[4,6,1,2,5,3] => [3,5,2,1,6,4] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[4,6,1,3,2,5] => [5,2,3,1,6,4] => [2,5,4,6,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,1,3,5,2] => [2,5,3,1,6,4] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6)
[4,6,1,5,2,3] => [3,2,5,1,6,4] => [2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6)
[4,6,1,5,3,2] => [2,3,5,1,6,4] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6)
[4,6,2,1,3,5] => [5,3,1,2,6,4] => [1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,1,5,3] => [3,5,1,2,6,4] => [3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,6,2,3,1,5] => [5,1,3,2,6,4] => [1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,2,3,5,1] => [1,5,3,2,6,4] => [2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6)
[4,6,2,5,3,1] => [1,3,5,2,6,4] => [3,2,5,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,6,3,1,2,5] => [5,2,1,3,6,4] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,1,5,2] => [2,5,1,3,6,4] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,2,1,5] => [5,1,2,3,6,4] => [1,5,4,6,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,2,5,1] => [1,5,2,3,6,4] => [2,5,4,6,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,3,5,1,2] => [2,1,5,3,6,4] => [3,5,4,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,6,3,5,2,1] => [1,2,5,3,6,4] => [3,5,4,6,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,1,2,3] => [3,2,1,5,6,4] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,1,3,2] => [2,3,1,5,6,4] => [5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,6,5,2,3,1] => [1,3,2,5,6,4] => [5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,5,3,1,2] => [2,1,3,5,6,4] => [5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[4,6,5,3,2,1] => [1,2,3,5,6,4] => [5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,3,4,6] => [6,4,3,2,1,5] => [1,2,3,4,6,5] => ([(4,5)],6)
[5,1,2,3,6,4] => [4,6,3,2,1,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[5,1,2,4,3,6] => [6,3,4,2,1,5] => [3,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,4,6,3] => [3,6,4,2,1,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,1,2,6,3,4] => [4,3,6,2,1,5] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,2,6,4,3] => [3,4,6,2,1,5] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,2,4,6] => [6,4,2,3,1,5] => [2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,1,3,2,6,4] => [4,6,2,3,1,5] => [4,2,6,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[5,1,3,4,2,6] => [6,2,4,3,1,5] => [2,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6)
[5,1,3,6,2,4] => [4,2,6,3,1,5] => [2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[5,1,3,6,4,2] => [2,4,6,3,1,5] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,2,3,6] => [6,3,2,4,1,5] => [2,3,6,5,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,4,2,6,3] => [3,6,2,4,1,5] => [3,2,6,5,1,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,1,4,3,2,6] => [6,2,3,4,1,5] => [2,6,5,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,6,2,3] => [3,2,6,4,1,5] => [2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,1,4,6,3,2] => [2,3,6,4,1,5] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,1,6,2,3,4] => [4,3,2,6,1,5] => [2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6)
[5,1,6,2,4,3] => [3,4,2,6,1,5] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,2,4] => [4,2,3,6,1,5] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,4,2] => [2,4,3,6,1,5] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,4,2,3] => [3,2,4,6,1,5] => [4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,4,3,2] => [2,3,4,6,1,5] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,4,6] => [6,4,3,1,2,5] => [1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,6,4] => [4,6,3,1,2,5] => [4,1,3,6,5,2] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,4,3,6] => [6,3,4,1,2,5] => [3,6,5,1,4,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,2,1,4,6,3] => [3,6,4,1,2,5] => [3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,2,1,6,3,4] => [4,3,6,1,2,5] => [3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,6,4,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,2,3,1,4,6] => [6,4,1,3,2,5] => [1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,2,3,1,6,4] => [4,6,1,3,2,5] => [4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,3,4,1,6] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,4,6,1] => [1,6,4,3,2,5] => [2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,6,1,4] => [4,1,6,3,2,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,2,3,6,4,1] => [1,4,6,3,2,5] => [4,2,3,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,3,6] => [6,3,1,4,2,5] => [1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[5,2,4,1,6,3] => [3,6,1,4,2,5] => [3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
[5,2,4,3,1,6] => [6,1,3,4,2,5] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,6,1] => [1,6,3,4,2,5] => [3,6,5,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,6,1,3] => [3,1,6,4,2,5] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6)
[5,2,4,6,3,1] => [1,3,6,4,2,5] => [3,2,4,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,2,6,1,3,4] => [4,3,1,6,2,5] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6)
[5,2,6,1,4,3] => [3,4,1,6,2,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6)
[5,2,6,3,1,4] => [4,1,3,6,2,5] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,2,6,3,4,1] => [1,4,3,6,2,5] => [3,4,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,4,1,3] => [3,1,4,6,2,5] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,4,3,1] => [1,3,4,6,2,5] => [4,3,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,4,6] => [6,4,2,1,3,5] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,6,4] => [4,6,2,1,3,5] => [4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[5,3,1,4,2,6] => [6,2,4,1,3,5] => [2,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,4,6,2] => [2,6,4,1,3,5] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,2,4] => [4,2,6,1,3,5] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
[5,3,2,1,4,6] => [6,4,1,2,3,5] => [1,4,6,5,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,6,4] => [4,6,1,2,3,5] => [4,1,6,5,3,2] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,1,6] => [6,1,4,2,3,5] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,6,1] => [1,6,4,2,3,5] => [2,4,6,5,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,1,4] => [4,1,6,2,3,5] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[5,3,2,6,4,1] => [1,4,6,2,3,5] => [4,2,6,5,3,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,1,2,6] => [6,2,1,4,3,5] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,1,6,2] => [2,6,1,4,3,5] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,2,1,6] => [6,1,2,4,3,5] => [1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,2,6,1] => [1,6,2,4,3,5] => [2,6,5,3,4,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,4,6,1,2] => [2,1,6,4,3,5] => [3,4,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,4,6,2,1] => [1,2,6,4,3,5] => [3,4,6,5,2,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,6,1,2,4] => [4,2,1,6,3,5] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6)
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6)
[5,3,6,2,1,4] => [4,1,2,6,3,5] => [1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,3,6,2,4,1] => [1,4,2,6,3,5] => [2,4,3,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[5,3,6,4,1,2] => [2,1,4,6,3,5] => [4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,3,6,4,2,1] => [1,2,4,6,3,5] => [4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,2,3,6] => [6,3,2,1,4,5] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6)
[5,4,1,2,6,3] => [3,6,2,1,4,5] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[5,4,1,3,2,6] => [6,2,3,1,4,5] => [2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,3,6,2] => [2,6,3,1,4,5] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,4,1,6,2,3] => [3,2,6,1,4,5] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
[5,4,2,1,3,6] => [6,3,1,2,4,5] => [1,3,6,5,4,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,6,3] => [3,6,1,2,4,5] => [3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,3,1,6] => [6,1,3,2,4,5] => [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)
[5,4,2,3,6,1] => [1,6,3,2,4,5] => [2,3,6,5,4,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,6,1,3] => [3,1,6,2,4,5] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6)
[5,4,2,6,3,1] => [1,3,6,2,4,5] => [3,2,6,5,4,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,1,2,6] => [6,2,1,3,4,5] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,1,6,2] => [2,6,1,3,4,5] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,2,6,1] => [1,6,2,3,4,5] => [2,6,5,4,3,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,3,6,1,2] => [2,1,6,3,4,5] => [3,6,5,4,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,4,3,6,2,1] => [1,2,6,3,4,5] => [3,6,5,4,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,1,2,3] => [3,2,1,6,4,5] => [4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,2,1,3] => [3,1,2,6,4,5] => [4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,6,2,3,1] => [1,3,2,6,4,5] => [4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,6,3,1,2] => [2,1,3,6,4,5] => [4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,4,6,3,2,1] => [1,2,3,6,4,5] => [4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,1,2,3,4] => [4,3,2,1,6,5] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,2,4,3] => [3,4,2,1,6,5] => [5,6,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,3,2,4] => [4,2,3,1,6,5] => [5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,3,4,2] => [2,4,3,1,6,5] => [5,6,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,4,2,3] => [3,2,4,1,6,5] => [5,6,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,1,4,3,2] => [2,3,4,1,6,5] => [5,6,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,1,3,4] => [4,3,1,2,6,5] => [5,6,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,1,4,3] => [3,4,1,2,6,5] => [5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,3,1,4] => [4,1,3,2,6,5] => [5,6,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,3,4,1] => [1,4,3,2,6,5] => [5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,2,4,1,3] => [3,1,4,2,6,5] => [5,6,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,2,4,3,1] => [1,3,4,2,6,5] => [5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,3,1,2,4] => [4,2,1,3,6,5] => [5,6,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,1,4,2] => [2,4,1,3,6,5] => [5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,2,1,4] => [4,1,2,3,6,5] => [5,6,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,2,4,1] => [1,4,2,3,6,5] => [5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[5,6,3,4,2,1] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,1,2,3] => [3,2,1,4,6,5] => [5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,1,3,2] => [2,3,1,4,6,5] => [5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,2,1,3] => [3,1,2,4,6,5] => [5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[5,6,4,2,3,1] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,6,4,3,2,1] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,3,4,5] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[6,1,2,3,5,4] => [4,5,3,2,1,6] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,4,3,5] => [5,3,4,2,1,6] => [6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,4,5,3] => [3,5,4,2,1,6] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,2,5,3,4] => [4,3,5,2,1,6] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,1,2,5,4,3] => [3,4,5,2,1,6] => [6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,2,4,5] => [5,4,2,3,1,6] => [6,2,4,5,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,2,5,4] => [4,5,2,3,1,6] => [6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,4,2,5] => [5,2,4,3,1,6] => [6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,4,5,2] => [2,5,4,3,1,6] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,2,4] => [4,2,5,3,1,6] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,4,2] => [2,4,5,3,1,6] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,3,5] => [5,3,2,4,1,6] => [6,2,3,5,1,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,5,3] => [3,5,2,4,1,6] => [6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,3,2,5] => [5,2,3,4,1,6] => [6,2,5,3,1,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,3,5,2] => [2,5,3,4,1,6] => [6,3,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,2,3] => [3,2,5,4,1,6] => [6,2,3,1,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,3,2] => [2,3,5,4,1,6] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,3,4] => [4,3,2,5,1,6] => [6,2,3,4,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,4,3] => [3,4,2,5,1,6] => [6,3,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,2,4] => [4,2,3,5,1,6] => [6,2,4,3,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,4,2] => [2,4,3,5,1,6] => [6,3,4,2,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,2,3] => [3,2,4,5,1,6] => [6,4,2,3,1,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,4,3,2] => [2,3,4,5,1,6] => [6,4,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,4,5] => [5,4,3,1,2,6] => [6,1,3,4,5,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,5,4] => [4,5,3,1,2,6] => [6,4,1,3,5,2] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,4,3,5] => [5,3,4,1,2,6] => [6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,4,5,3] => [3,5,4,1,2,6] => [6,3,1,4,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,3,4] => [4,3,5,1,2,6] => [6,3,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,4,3] => [3,4,5,1,2,6] => [6,4,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,1,4,5] => [5,4,1,3,2,6] => [6,1,4,5,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,2,3,1,5,4] => [4,5,1,3,2,6] => [6,4,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,4,1,5] => [5,1,4,3,2,6] => [6,1,5,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,1,4] => [4,1,5,3,2,6] => [6,1,4,2,3,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,5,4,1] => [1,4,5,3,2,6] => [6,4,2,3,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,3,5] => [5,3,1,4,2,6] => [6,1,3,5,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,5,3] => [3,5,1,4,2,6] => [6,3,1,5,2,4] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,2,4,3,1,5] => [5,1,3,4,2,6] => [6,1,5,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,5,1,3] => [3,1,5,4,2,6] => [6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,5,3,1] => [1,3,5,4,2,6] => [6,3,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,3,4] => [4,3,1,5,2,6] => [6,1,3,4,2,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,1,4,3] => [3,4,1,5,2,6] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,1,4] => [4,1,3,5,2,6] => [6,1,4,3,2,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,3,4,1] => [1,4,3,5,2,6] => [6,3,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,1,3] => [3,1,4,5,2,6] => [6,4,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,5,4,3,1] => [1,3,4,5,2,6] => [6,4,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,2,4,5] => [5,4,2,1,3,6] => [6,1,2,4,5,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,2,5,4] => [4,5,2,1,3,6] => [6,4,1,2,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,4,2,5] => [5,2,4,1,3,6] => [6,2,5,1,4,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,4,5,2] => [2,5,4,1,3,6] => [6,2,1,4,5,3] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,2,4] => [4,2,5,1,3,6] => [6,2,4,1,5,3] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,1,5,4,2] => [2,4,5,1,3,6] => [6,4,2,1,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,4,5] => [5,4,1,2,3,6] => [6,1,4,5,3,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,5,4] => [4,5,1,2,3,6] => [6,4,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,1,5] => [5,1,4,2,3,6] => [6,1,5,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,5,1] => [1,5,4,2,3,6] => [6,2,4,5,3,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,1,4] => [4,1,5,2,3,6] => [6,1,4,2,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,1,2,5] => [5,2,1,4,3,6] => [6,1,2,5,3,4] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,1,5,2] => [2,5,1,4,3,6] => [6,2,1,5,3,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,2,1,5] => [5,1,2,4,3,6] => [6,1,5,3,4,2] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,2,5,1] => [1,5,2,4,3,6] => [6,2,5,3,4,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,4,5,1,2] => [2,1,5,4,3,6] => [6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,4,5,2,1] => [1,2,5,4,3,6] => [6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,1,2,4] => [4,2,1,5,3,6] => [6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,1,4,2] => [2,4,1,5,3,6] => [6,2,1,4,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,3,5,2,1,4] => [4,1,2,5,3,6] => [6,1,4,3,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [6,2,4,3,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,5,4,1,2] => [2,1,4,5,3,6] => [6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,3,5,4,2,1] => [1,2,4,5,3,6] => [6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,2,3,5] => [5,3,2,1,4,6] => [6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,2,5,3] => [3,5,2,1,4,6] => [6,3,1,2,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,3,2,5] => [5,2,3,1,4,6] => [6,2,5,4,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,3,5,2] => [2,5,3,1,4,6] => [6,2,1,3,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,4,1,5,2,3] => [3,2,5,1,4,6] => [6,2,3,1,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,5,3,2] => [2,3,5,1,4,6] => [6,3,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,3,5] => [5,3,1,2,4,6] => [6,1,3,5,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,5,3] => [3,5,1,2,4,6] => [6,3,1,5,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,3,1,5] => [5,1,3,2,4,6] => [6,1,5,4,2,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,3,5,1] => [1,5,3,2,4,6] => [6,2,3,5,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,5,1,3] => [3,1,5,2,4,6] => [6,1,3,2,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,1,2,5] => [5,2,1,3,4,6] => [6,1,2,5,4,3] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,1,5,2] => [2,5,1,3,4,6] => [6,2,1,5,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,2,1,5] => [5,1,2,3,4,6] => [6,1,5,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,2,5,1] => [1,5,2,3,4,6] => [6,2,5,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,3,5,1,2] => [2,1,5,3,4,6] => [6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,3,5,2,1] => [1,2,5,3,4,6] => [6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,1,2,3] => [3,2,1,5,4,6] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,1,3,2] => [2,3,1,5,4,6] => [6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,2,1,3] => [3,1,2,5,4,6] => [6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,3,1,2] => [2,1,3,5,4,6] => [6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,4,5,3,2,1] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,2,3,4] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,2,4,3] => [3,4,2,1,5,6] => [6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,3,2,4] => [4,2,3,1,5,6] => [6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,3,4,2] => [2,4,3,1,5,6] => [6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,2,3] => [3,2,4,1,5,6] => [6,5,2,3,1,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,1,4,3,2] => [2,3,4,1,5,6] => [6,5,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,1,3,4] => [4,3,1,2,5,6] => [6,5,1,3,4,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,1,4,3] => [3,4,1,2,5,6] => [6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,3,1,4] => [4,1,3,2,5,6] => [6,5,1,4,2,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,3,4,1] => [1,4,3,2,5,6] => [6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,4,1,3] => [3,1,4,2,5,6] => [6,5,1,3,2,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,2,4,3,1] => [1,3,4,2,5,6] => [6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,1,2,4] => [4,2,1,3,5,6] => [6,5,1,2,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,1,4,2] => [2,4,1,3,5,6] => [6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,2,1,4] => [4,1,2,3,5,6] => [6,5,1,4,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,2,4,1] => [1,4,2,3,5,6] => [6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,4,1,2] => [2,1,4,3,5,6] => [6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,1,2,3] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,1,3,2] => [2,3,1,4,5,6] => [6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,2,1,3] => [3,1,2,4,5,6] => [6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,2,3,1] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,3,1,2] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => ([],7)
[1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => [6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => [5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => [5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,3,4,7,5,6] => [6,5,7,4,3,2,1] => [5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => [6,5,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => [4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => [4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,2,3,5,7,4,6] => [6,4,7,5,3,2,1] => [4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,5,7,6,4] => [4,6,7,5,3,2,1] => [6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,5,7] => [7,5,4,6,3,2,1] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,2,3,6,4,7,5] => [5,7,4,6,3,2,1] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,5,7,4] => [4,7,5,6,3,2,1] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,2,3,6,7,4,5] => [5,4,7,6,3,2,1] => [4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,7,5,4] => [4,5,7,6,3,2,1] => [5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,5,6] => [6,5,4,7,3,2,1] => [4,5,6,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,2,3,7,4,6,5] => [5,6,4,7,3,2,1] => [5,4,6,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,4,6] => [6,4,5,7,3,2,1] => [4,6,5,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,6,4] => [4,6,5,7,3,2,1] => [5,6,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,4,5] => [5,4,6,7,3,2,1] => [6,4,5,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => [6,5,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => [3,5,6,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => [6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => [5,7,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => [5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,4,3,7,5,6] => [6,5,7,3,4,2,1] => [5,6,3,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,3,7,6,5] => [5,6,7,3,4,2,1] => [6,5,3,7,1,2,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => [3,1,2,4,5,6,7] => ([(4,6),(5,6)],7)
[1,2,4,5,7,3,6] => [6,3,7,5,4,2,1] => [3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,4,5,7,6,3] => [3,6,7,5,4,2,1] => [6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,5,7] => [7,5,3,6,4,2,1] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,4,6,3,7,5] => [5,7,3,6,4,2,1] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,6,5,3,7] => [7,3,5,6,4,2,1] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,6,7,3,5] => [5,3,7,6,4,2,1] => [3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,4,6,7,5,3] => [3,5,7,6,4,2,1] => [5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,5,6] => [6,5,3,7,4,2,1] => [3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,7,3,6,5] => [5,6,3,7,4,2,1] => [5,3,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,7,5,3,6] => [6,3,5,7,4,2,1] => [3,6,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,6,3] => [3,6,5,7,4,2,1] => [5,6,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,4,7,6,3,5] => [5,3,6,7,4,2,1] => [6,3,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,5,3] => [3,5,6,7,4,2,1] => [6,5,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,6,7] => [7,6,4,3,5,2,1] => [3,4,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,3,4,7,6] => [6,7,4,3,5,2,1] => [6,3,4,7,1,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,3,6,4,7] => [7,4,6,3,5,2,1] => [4,7,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,6,7,4] => [4,7,6,3,5,2,1] => [4,3,6,7,1,2,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,3,7,4,6] => [6,4,7,3,5,2,1] => [4,6,3,7,1,2,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,3,7,6,4] => [4,6,7,3,5,2,1] => [6,4,3,7,1,2,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [3,6,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,3,7,6] => [6,7,3,4,5,2,1] => [6,3,7,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,6,3,7] => [7,3,6,4,5,2,1] => [3,7,4,6,1,2,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,4,6,7,3] => [3,7,6,4,5,2,1] => [4,6,7,3,1,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,4,7,3,6] => [6,3,7,4,5,2,1] => [3,6,4,7,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,7,6,3] => [3,6,7,4,5,2,1] => [6,4,7,3,1,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,2,5,6,3,4,7] => [7,4,3,6,5,2,1] => [3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,6,3,7,4] => [4,7,3,6,5,2,1] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,6,4,3,7] => [7,3,4,6,5,2,1] => [3,7,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,3,4] => [4,3,7,6,5,2,1] => [3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,6,7,4,3] => [3,4,7,6,5,2,1] => [4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,4,6] => [6,4,3,7,5,2,1] => [3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,7,3,6,4] => [4,6,3,7,5,2,1] => [4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,7,4,3,6] => [6,3,4,7,5,2,1] => [3,6,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,7,4,6,3] => [3,6,4,7,5,2,1] => [4,6,3,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,3,4] => [4,3,6,7,5,2,1] => [6,3,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,7,6,4,3] => [3,4,6,7,5,2,1] => [6,4,3,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,5,7] => [7,5,4,3,6,2,1] => [3,4,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,4,7,5] => [5,7,4,3,6,2,1] => [5,3,4,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,3,5,4,7] => [7,4,5,3,6,2,1] => [4,7,3,5,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,3,5,7,4] => [4,7,5,3,6,2,1] => [4,3,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,7,4,5] => [5,4,7,3,6,2,1] => [4,5,3,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,3,7,5,4] => [4,5,7,3,6,2,1] => [5,4,3,7,1,2,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,5,7] => [7,5,3,4,6,2,1] => [3,5,7,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,4,3,7,5] => [5,7,3,4,6,2,1] => [5,3,7,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,4,5,3,7] => [7,3,5,4,6,2,1] => [3,7,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,4,5,7,3] => [3,7,5,4,6,2,1] => [4,5,7,3,1,2,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,3,5] => [5,3,7,4,6,2,1] => [3,5,4,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,7,5,3] => [3,5,7,4,6,2,1] => [5,4,7,3,1,2,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,3,4,7] => [7,4,3,5,6,2,1] => [3,4,7,5,1,2,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,5,3,7,4] => [4,7,3,5,6,2,1] => [4,3,7,5,1,2,6] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => [3,7,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,5,4,7,3] => [3,7,4,5,6,2,1] => [4,7,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,5,7,3,4] => [4,3,7,5,6,2,1] => [5,7,3,4,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,4,3] => [3,4,7,5,6,2,1] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,4,5] => [5,4,3,7,6,2,1] => [3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,3,5,4] => [4,5,3,7,6,2,1] => [4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,4,3,5] => [5,3,4,7,6,2,1] => [3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,7,4,5,3] => [3,5,4,7,6,2,1] => [4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,3,4] => [4,3,5,7,6,2,1] => [5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,6,7,5,4,3] => [3,4,5,7,6,2,1] => [5,4,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,5,6] => [6,5,4,3,7,2,1] => [3,4,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,3,4,6,5] => [5,6,4,3,7,2,1] => [5,3,4,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,3,5,4,6] => [6,4,5,3,7,2,1] => [4,6,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,3,5,6,4] => [4,6,5,3,7,2,1] => [4,3,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,3,6,4,5] => [5,4,6,3,7,2,1] => [4,5,3,6,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,3,6,5,4] => [4,5,6,3,7,2,1] => [5,4,3,6,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,4,3,5,6] => [6,5,3,4,7,2,1] => [3,5,6,4,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,4,3,6,5] => [5,6,3,4,7,2,1] => [5,3,6,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,4,5,3,6] => [6,3,5,4,7,2,1] => [3,6,4,5,1,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,4,5,6,3] => [3,6,5,4,7,2,1] => [4,5,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,4,6,3,5] => [5,3,6,4,7,2,1] => [3,5,4,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,4,6,5,3] => [3,5,6,4,7,2,1] => [5,4,6,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,5,3,4,6] => [6,4,3,5,7,2,1] => [3,4,6,5,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,5,3,6,4] => [4,6,3,5,7,2,1] => [4,3,6,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,5,4,3,6] => [6,3,4,5,7,2,1] => [3,6,5,4,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,5,4,6,3] => [3,6,4,5,7,2,1] => [4,6,5,3,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,3,4] => [4,3,6,5,7,2,1] => [5,6,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,7,5,6,4,3] => [3,4,6,5,7,2,1] => [5,6,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,3,4,5] => [5,4,3,6,7,2,1] => [6,3,4,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,5,4] => [4,5,3,6,7,2,1] => [6,4,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,6,4,3,5] => [5,3,4,6,7,2,1] => [6,3,5,4,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,7,6,4,5,3] => [3,5,4,6,7,2,1] => [6,4,5,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,5,3,4] => [4,3,5,6,7,2,1] => [6,5,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,5,4,3] => [3,4,5,6,7,2,1] => [6,5,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => [2,4,5,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => [6,2,4,5,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [5,7,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => [5,2,4,6,7,1,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,4,7,5,6] => [6,5,7,4,2,3,1] => [5,6,2,4,7,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,4,7,6,5] => [5,6,7,4,2,3,1] => [6,5,2,4,7,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => [4,6,7,2,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => [6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => [4,7,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => [4,2,5,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[1,3,2,5,7,4,6] => [6,4,7,5,2,3,1] => [4,6,2,5,7,1,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,5,7,6,4] => [4,6,7,5,2,3,1] => [6,4,2,5,7,1,3] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,6,4,5,7] => [7,5,4,6,2,3,1] => [4,5,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,7,5] => [5,7,4,6,2,3,1] => [5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,2,6,5,4,7] => [7,4,5,6,2,3,1] => [4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,6,5,7,4] => [4,7,5,6,2,3,1] => [5,7,4,2,6,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,7,4,5] => [5,4,7,6,2,3,1] => [4,5,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,7,5,4] => [4,5,7,6,2,3,1] => [5,4,2,6,7,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,7,4,5,6] => [6,5,4,7,2,3,1] => [4,5,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,3,2,7,4,6,5] => [5,6,4,7,2,3,1] => [5,4,6,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,3,2,7,5,4,6] => [6,4,5,7,2,3,1] => [4,6,5,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,3,2,7,5,6,4] => [4,6,5,7,2,3,1] => [5,6,4,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,7,6,4,5] => [5,4,6,7,2,3,1] => [6,4,5,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,2,7,6,5,4] => [4,5,6,7,2,3,1] => [6,5,4,2,7,1,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => [2,5,6,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => [6,2,5,7,1,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => [5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => [5,2,6,7,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[1,3,4,2,7,5,6] => [6,5,7,2,4,3,1] => [5,6,2,7,1,3,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,4,2,7,6,5] => [5,6,7,2,4,3,1] => [6,5,2,7,1,3,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => [2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => [6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => [2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => [2,1,3,4,5,6,7] => ([(5,6)],7)
[1,3,4,5,7,2,6] => [6,2,7,5,4,3,1] => [2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => [6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,5,7] => [7,5,2,6,4,3,1] => [2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,4,6,2,7,5] => [5,7,2,6,4,3,1] => [5,2,7,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[1,3,4,6,5,2,7] => [7,2,5,6,4,3,1] => [2,7,5,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,7,2] => [2,7,5,6,4,3,1] => [5,7,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,4,6,7,2,5] => [5,2,7,6,4,3,1] => [2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => [5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,5,6] => [6,5,2,7,4,3,1] => [2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,4,7,2,6,5] => [5,6,2,7,4,3,1] => [5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,4,7,5,2,6] => [6,2,5,7,4,3,1] => [2,6,5,1,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,6,2] => [2,6,5,7,4,3,1] => [5,6,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,4,7,6,2,5] => [5,2,6,7,4,3,1] => [6,2,5,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => [6,5,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,6,7] => [7,6,4,2,5,3,1] => [2,4,6,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,5,2,4,7,6] => [6,7,4,2,5,3,1] => [6,2,4,7,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,5,2,6,4,7] => [7,4,6,2,5,3,1] => [4,7,2,6,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,6,7,4] => [4,7,6,2,5,3,1] => [4,2,6,7,1,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[1,3,5,2,7,4,6] => [6,4,7,2,5,3,1] => [4,6,2,7,1,3,5] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,5,2,7,6,4] => [4,6,7,2,5,3,1] => [6,4,2,7,1,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,4,2,6,7] => [7,6,2,4,5,3,1] => [2,6,7,4,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,5,4,2,7,6] => [6,7,2,4,5,3,1] => [6,2,7,4,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,6,2,7] => [7,2,6,4,5,3,1] => [2,7,4,6,1,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,6,7,2] => [2,7,6,4,5,3,1] => [4,6,7,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,7,2,6] => [6,2,7,4,5,3,1] => [2,6,4,7,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,5,4,7,6,2] => [2,6,7,4,5,3,1] => [6,4,7,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[1,3,5,6,2,4,7] => [7,4,2,6,5,3,1] => [2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,5,6,2,7,4] => [4,7,2,6,5,3,1] => [4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[1,3,5,6,4,2,7] => [7,2,4,6,5,3,1] => [2,7,4,1,3,5,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,7,2] => [2,7,4,6,5,3,1] => [4,7,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,6,7,2,4] => [4,2,7,6,5,3,1] => [2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => [4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,4,6] => [6,4,2,7,5,3,1] => [2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,5,7,2,6,4] => [4,6,2,7,5,3,1] => [4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,7,4,2,6] => [6,2,4,7,5,3,1] => [2,6,4,1,3,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,6,2] => [2,6,4,7,5,3,1] => [4,6,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,7,6,2,4] => [4,2,6,7,5,3,1] => [6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,6,4,2] => [2,4,6,7,5,3,1] => [6,4,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,5,7] => [7,5,4,2,6,3,1] => [2,4,5,7,1,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,2,4,7,5] => [5,7,4,2,6,3,1] => [5,2,4,7,1,3,6] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,4,7] => [7,4,5,2,6,3,1] => [4,7,2,5,1,3,6] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,5,7,4] => [4,7,5,2,6,3,1] => [4,2,5,7,1,3,6] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,2,7,4,5] => [5,4,7,2,6,3,1] => [4,5,2,7,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,7,5,4] => [4,5,7,2,6,3,1] => [5,4,2,7,1,3,6] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,5,7] => [7,5,2,4,6,3,1] => [2,5,7,4,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,7,5] => [5,7,2,4,6,3,1] => [5,2,7,4,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,4,5,2,7] => [7,2,5,4,6,3,1] => [2,7,4,5,1,3,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,7,2] => [2,7,5,4,6,3,1] => [4,5,7,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,2,5] => [5,2,7,4,6,3,1] => [2,5,4,7,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,4,7,5,2] => [2,5,7,4,6,3,1] => [5,4,7,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[1,3,6,5,2,4,7] => [7,4,2,5,6,3,1] => [2,4,7,5,1,3,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,6,5,2,7,4] => [4,7,2,5,6,3,1] => [4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,6,5,4,2,7] => [7,2,4,5,6,3,1] => [2,7,5,4,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,7,2] => [2,7,4,5,6,3,1] => [4,7,5,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,7,2,4] => [4,2,7,5,6,3,1] => [5,7,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,5,7,4,2] => [2,4,7,5,6,3,1] => [5,7,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,6,7,2,4,5] => [5,4,2,7,6,3,1] => [2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,3,6,7,2,5,4] => [4,5,2,7,6,3,1] => [4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,7,4,2,5] => [5,2,4,7,6,3,1] => [2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,6,7,4,5,2] => [2,5,4,7,6,3,1] => [4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,6,7,5,2,4] => [4,2,5,7,6,3,1] => [5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,5,4,2] => [2,4,5,7,6,3,1] => [5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,5,6] => [6,5,4,2,7,3,1] => [2,4,5,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,7,2,4,6,5] => [5,6,4,2,7,3,1] => [5,2,4,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,4,6] => [6,4,5,2,7,3,1] => [4,6,2,5,1,3,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,6,4] => [4,6,5,2,7,3,1] => [4,2,5,6,1,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,3,7,2,6,4,5] => [5,4,6,2,7,3,1] => [4,5,2,6,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,7,2,6,5,4] => [4,5,6,2,7,3,1] => [5,4,2,6,1,3,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,5,6] => [6,5,2,4,7,3,1] => [2,5,6,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,6,5] => [5,6,2,4,7,3,1] => [5,2,6,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,2,6] => [6,2,5,4,7,3,1] => [2,6,4,5,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,6,2] => [2,6,5,4,7,3,1] => [4,5,6,2,1,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,2,5] => [5,2,6,4,7,3,1] => [2,5,4,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,7,4,6,5,2] => [2,5,6,4,7,3,1] => [5,4,6,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,4,6] => [6,4,2,5,7,3,1] => [2,4,6,5,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,7,5,2,6,4] => [4,6,2,5,7,3,1] => [4,2,6,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,5,4,2,6] => [6,2,4,5,7,3,1] => [2,6,5,4,1,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,6,2] => [2,6,4,5,7,3,1] => [4,6,5,2,1,3,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,2,4] => [4,2,6,5,7,3,1] => [5,6,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,7,5,6,4,2] => [2,4,6,5,7,3,1] => [5,6,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,6,2,4,5] => [5,4,2,6,7,3,1] => [6,2,4,5,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,5,4] => [4,5,2,6,7,3,1] => [6,4,2,5,1,3,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,2,5] => [5,2,4,6,7,3,1] => [6,2,5,4,1,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,5,2] => [2,5,4,6,7,3,1] => [6,4,5,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,7,6,5,2,4] => [4,2,5,6,7,3,1] => [6,5,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,4,2] => [2,4,5,6,7,3,1] => [6,5,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,6,7] => [7,6,5,3,2,4,1] => [2,3,5,6,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,3,5,7,6] => [6,7,5,3,2,4,1] => [6,2,3,5,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,6,5,7] => [7,5,6,3,2,4,1] => [5,7,2,3,6,1,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,3,6,7,5] => [5,7,6,3,2,4,1] => [5,2,3,6,7,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,2,3,7,5,6] => [6,5,7,3,2,4,1] => [5,6,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,3,7,6,5] => [5,6,7,3,2,4,1] => [6,5,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,3,6,7] => [7,6,3,5,2,4,1] => [3,6,7,2,5,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,5,3,7,6] => [6,7,3,5,2,4,1] => [6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,5,6,3,7] => [7,3,6,5,2,4,1] => [3,7,2,5,6,1,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,5,6,7,3] => [3,7,6,5,2,4,1] => [3,2,5,6,7,1,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,7,3,6] => [6,3,7,5,2,4,1] => [3,6,2,5,7,1,4] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,7,6,3] => [3,6,7,5,2,4,1] => [6,3,2,5,7,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,2,6,3,5,7] => [7,5,3,6,2,4,1] => [3,5,7,2,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,6,3,7,5] => [5,7,3,6,2,4,1] => [5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,6,5,3,7] => [7,3,5,6,2,4,1] => [3,7,5,2,6,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,6,5,7,3] => [3,7,5,6,2,4,1] => [5,7,3,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,2,6,7,3,5] => [5,3,7,6,2,4,1] => [3,5,2,6,7,1,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,6,7,5,3] => [3,5,7,6,2,4,1] => [5,3,2,6,7,1,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,2,7,3,5,6] => [6,5,3,7,2,4,1] => [3,5,6,2,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[1,4,2,7,3,6,5] => [5,6,3,7,2,4,1] => [5,3,6,2,7,1,4] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,3,6] => [6,3,5,7,2,4,1] => [3,6,5,2,7,1,4] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,6,3] => [3,6,5,7,2,4,1] => [5,6,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,2,7,6,3,5] => [5,3,6,7,2,4,1] => [6,3,5,2,7,1,4] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,6,5,3] => [3,5,6,7,2,4,1] => [6,5,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => [2,5,6,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,7,6] => [6,7,5,2,3,4,1] => [6,2,5,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,6,5,7] => [7,5,6,2,3,4,1] => [5,7,2,6,3,1,4] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,3,2,6,7,5] => [5,7,6,2,3,4,1] => [5,2,6,7,3,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,7,5,6] => [6,5,7,2,3,4,1] => [5,6,2,7,3,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,7,6,5] => [5,6,7,2,3,4,1] => [6,5,2,7,3,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,2,6,7] => [7,6,2,5,3,4,1] => [2,6,7,3,5,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,7,6] => [6,7,2,5,3,4,1] => [6,2,7,3,5,1,4] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,2,7] => [7,2,6,5,3,4,1] => [2,7,3,5,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,6,7,2] => [2,7,6,5,3,4,1] => [3,5,6,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,5,7,2,6] => [6,2,7,5,3,4,1] => [2,6,3,5,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,5,7,6,2] => [2,6,7,5,3,4,1] => [6,3,5,7,2,1,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,2,5,7] => [7,5,2,6,3,4,1] => [2,5,7,3,6,1,4] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,2,7,5] => [5,7,2,6,3,4,1] => [5,2,7,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,3,6,5,2,7] => [7,2,5,6,3,4,1] => [2,7,5,3,6,1,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,5,7,2] => [2,7,5,6,3,4,1] => [5,7,3,6,2,1,4] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,6,7,2,5] => [5,2,7,6,3,4,1] => [2,5,3,6,7,1,4] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,3,6,7,5,2] => [2,5,7,6,3,4,1] => [5,3,6,7,2,1,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,2,5,6] => [6,5,2,7,3,4,1] => [2,5,6,3,7,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,7,2,6,5] => [5,6,2,7,3,4,1] => [5,2,6,3,7,1,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,3,7,5,2,6] => [6,2,5,7,3,4,1] => [2,6,5,3,7,1,4] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,7,5,6,2] => [2,6,5,7,3,4,1] => [5,6,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,6,2,5] => [5,2,6,7,3,4,1] => [6,2,5,3,7,1,4] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,7,6,5,2] => [2,5,6,7,3,4,1] => [6,5,3,7,2,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,3,6,7] => [7,6,3,2,5,4,1] => [2,3,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,2,3,7,6] => [6,7,3,2,5,4,1] => [6,2,3,7,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,5,2,6,3,7] => [7,3,6,2,5,4,1] => [3,7,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,6,7,3] => [3,7,6,2,5,4,1] => [3,2,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,2,7,3,6] => [6,3,7,2,5,4,1] => [3,6,2,7,1,4,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,7,6,3] => [3,6,7,2,5,4,1] => [6,3,2,7,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,5,3,2,6,7] => [7,6,2,3,5,4,1] => [2,6,7,3,1,4,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,3,2,7,6] => [6,7,2,3,5,4,1] => [6,2,7,3,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,5,3,6,2,7] => [7,2,6,3,5,4,1] => [2,7,3,6,1,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,7,2] => [2,7,6,3,5,4,1] => [3,6,7,2,1,4,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,3,7,2,6] => [6,2,7,3,5,4,1] => [2,6,3,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,5,3,7,6,2] => [2,6,7,3,5,4,1] => [6,3,7,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,2,3,7] => [7,3,2,6,5,4,1] => [2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,5,6,2,7,3] => [3,7,2,6,5,4,1] => [3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[1,4,5,6,3,2,7] => [7,2,3,6,5,4,1] => [2,7,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,6,3,7,2] => [2,7,3,6,5,4,1] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,2,3] => [3,2,7,6,5,4,1] => [2,3,1,4,5,6,7] => ([(4,6),(5,6)],7)
[1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,3,6] => [6,3,2,7,5,4,1] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,5,7,2,6,3] => [3,6,2,7,5,4,1] => [3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,5,7,3,2,6] => [6,2,3,7,5,4,1] => [2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,6,2] => [2,6,3,7,5,4,1] => [3,6,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,2,3] => [3,2,6,7,5,4,1] => [6,2,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,3,2] => [2,3,6,7,5,4,1] => [6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,5,7] => [7,5,3,2,6,4,1] => [2,3,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,6,2,3,7,5] => [5,7,3,2,6,4,1] => [5,2,3,7,1,4,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,6,2,5,3,7] => [7,3,5,2,6,4,1] => [3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,7,3] => [3,7,5,2,6,4,1] => [3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[1,4,6,2,7,3,5] => [5,3,7,2,6,4,1] => [3,5,2,7,1,4,6] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,2,7,5,3] => [3,5,7,2,6,4,1] => [5,3,2,7,1,4,6] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,6,3,2,5,7] => [7,5,2,3,6,4,1] => [2,5,7,3,1,4,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,4,6,3,2,7,5] => [5,7,2,3,6,4,1] => [5,2,7,3,1,4,6] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,3,5,2,7] => [7,2,5,3,6,4,1] => [2,7,3,5,1,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,5,7,2] => [2,7,5,3,6,4,1] => [3,5,7,2,1,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,2,5] => [5,2,7,3,6,4,1] => [2,5,3,7,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,6,3,7,5,2] => [2,5,7,3,6,4,1] => [5,3,7,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,2,3,7] => [7,3,2,5,6,4,1] => [2,3,7,5,1,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,7,3] => [3,7,2,5,6,4,1] => [3,2,7,5,1,4,6] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,3,2,7] => [7,2,3,5,6,4,1] => [2,7,5,3,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,3,7,2] => [2,7,3,5,6,4,1] => [3,7,5,2,1,4,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,2,3] => [3,2,7,5,6,4,1] => [5,7,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,7,3,2] => [2,3,7,5,6,4,1] => [5,7,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,7,2,3,5] => [5,3,2,7,6,4,1] => [2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[1,4,6,7,2,5,3] => [3,5,2,7,6,4,1] => [3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,3,2,5] => [5,2,3,7,6,4,1] => [2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,5,2] => [2,5,3,7,6,4,1] => [3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,7,5,2,3] => [3,2,5,7,6,4,1] => [5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,5,3,2] => [2,3,5,7,6,4,1] => [5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,5,6] => [6,5,3,2,7,4,1] => [2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,7,2,3,6,5] => [5,6,3,2,7,4,1] => [5,2,3,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,3,6] => [6,3,5,2,7,4,1] => [3,6,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,6,3] => [3,6,5,2,7,4,1] => [3,2,5,6,1,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,7,2,6,3,5] => [5,3,6,2,7,4,1] => [3,5,2,6,1,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,5,3] => [3,5,6,2,7,4,1] => [5,3,2,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,5,6] => [6,5,2,3,7,4,1] => [2,5,6,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,7,3,2,6,5] => [5,6,2,3,7,4,1] => [5,2,6,3,1,4,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,2,6] => [6,2,5,3,7,4,1] => [2,6,3,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,6,2] => [2,6,5,3,7,4,1] => [3,5,6,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,2,5] => [5,2,6,3,7,4,1] => [2,5,3,6,1,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,5,2] => [2,5,6,3,7,4,1] => [5,3,6,2,1,4,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,3,6] => [6,3,2,5,7,4,1] => [2,3,6,5,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,6,3] => [3,6,2,5,7,4,1] => [3,2,6,5,1,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,2,6] => [6,2,3,5,7,4,1] => [2,6,5,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,6,2] => [2,6,3,5,7,4,1] => [3,6,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,2,3] => [3,2,6,5,7,4,1] => [5,6,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,7,5,6,3,2] => [2,3,6,5,7,4,1] => [5,6,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,7,6,2,3,5] => [5,3,2,6,7,4,1] => [6,2,3,5,1,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,5,3] => [3,5,2,6,7,4,1] => [6,3,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,2,5] => [5,2,3,6,7,4,1] => [6,2,5,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,5,2] => [2,5,3,6,7,4,1] => [6,3,5,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,2,3] => [3,2,5,6,7,4,1] => [6,5,2,3,1,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,3,2] => [2,3,5,6,7,4,1] => [6,5,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,6,7] => [7,6,4,3,2,5,1] => [2,3,4,6,7,1,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,4,7,6] => [6,7,4,3,2,5,1] => [6,2,3,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,6,4,7] => [7,4,6,3,2,5,1] => [4,7,2,3,6,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,6,7,4] => [4,7,6,3,2,5,1] => [4,2,3,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,7,4,6] => [6,4,7,3,2,5,1] => [4,6,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,7,6,4] => [4,6,7,3,2,5,1] => [6,4,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,3,6,7] => [7,6,3,4,2,5,1] => [3,6,7,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,2,4,3,7,6] => [6,7,3,4,2,5,1] => [6,3,7,2,4,1,5] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,2,4,6,3,7] => [7,3,6,4,2,5,1] => [3,7,2,4,6,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,7,3] => [3,7,6,4,2,5,1] => [3,2,4,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,2,4,7,3,6] => [6,3,7,4,2,5,1] => [3,6,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,7,6,3] => [3,6,7,4,2,5,1] => [6,3,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,3,4,7] => [7,4,3,6,2,5,1] => [3,4,7,2,6,1,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,3,7,4] => [4,7,3,6,2,5,1] => [4,3,7,2,6,1,5] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,4,3,7] => [7,3,4,6,2,5,1] => [3,7,4,2,6,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,4,7,3] => [3,7,4,6,2,5,1] => [4,7,3,2,6,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,7,3,4] => [4,3,7,6,2,5,1] => [3,4,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,6,7,4,3] => [3,4,7,6,2,5,1] => [4,3,2,6,7,1,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,3,4,6] => [6,4,3,7,2,5,1] => [3,4,6,2,7,1,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[1,5,2,7,3,6,4] => [4,6,3,7,2,5,1] => [4,3,6,2,7,1,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,4,3,6] => [6,3,4,7,2,5,1] => [3,6,4,2,7,1,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,4,6,3] => [3,6,4,7,2,5,1] => [4,6,3,2,7,1,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,6,3,4] => [4,3,6,7,2,5,1] => [6,3,4,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,6,4,3] => [3,4,6,7,2,5,1] => [6,4,3,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,6,7] => [7,6,4,2,3,5,1] => [2,4,6,7,3,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,7,6] => [6,7,4,2,3,5,1] => [6,2,4,7,3,1,5] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,6,4,7] => [7,4,6,2,3,5,1] => [4,7,2,6,3,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,6,7,4] => [4,7,6,2,3,5,1] => [4,2,6,7,3,1,5] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,7,4,6] => [6,4,7,2,3,5,1] => [4,6,2,7,3,1,5] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,7,6,4] => [4,6,7,2,3,5,1] => [6,4,2,7,3,1,5] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,2,6,7] => [7,6,2,4,3,5,1] => [2,6,7,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,4,2,7,6] => [6,7,2,4,3,5,1] => [6,2,7,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,3,4,6,2,7] => [7,2,6,4,3,5,1] => [2,7,3,4,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,3,4,6,7,2] => [2,7,6,4,3,5,1] => [3,4,6,7,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,7,2,6] => [6,2,7,4,3,5,1] => [2,6,3,4,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,4,7,6,2] => [2,6,7,4,3,5,1] => [6,3,4,7,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,4,7] => [7,4,2,6,3,5,1] => [2,4,7,3,6,1,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,2,7,4] => [4,7,2,6,3,5,1] => [4,2,7,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,2,7] => [7,2,4,6,3,5,1] => [2,7,4,3,6,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,7,2] => [2,7,4,6,3,5,1] => [4,7,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,7,2,4] => [4,2,7,6,3,5,1] => [2,4,3,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,5,3,6,7,4,2] => [2,4,7,6,3,5,1] => [4,3,6,7,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,2,4,6] => [6,4,2,7,3,5,1] => [2,4,6,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,2,6,4] => [4,6,2,7,3,5,1] => [4,2,6,3,7,1,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,4,2,6] => [6,2,4,7,3,5,1] => [2,6,4,3,7,1,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,4,6,2] => [2,6,4,7,3,5,1] => [4,6,3,7,2,1,5] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,6,2,4] => [4,2,6,7,3,5,1] => [6,2,4,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,6,4,2] => [2,4,6,7,3,5,1] => [6,4,3,7,2,1,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,3,6,7] => [7,6,3,2,4,5,1] => [2,3,6,7,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,2,3,7,6] => [6,7,3,2,4,5,1] => [6,2,3,7,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,6,3,7] => [7,3,6,2,4,5,1] => [3,7,2,6,4,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,6,7,3] => [3,7,6,2,4,5,1] => [3,2,6,7,4,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,7,3,6] => [6,3,7,2,4,5,1] => [3,6,2,7,4,1,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,7,6,3] => [3,6,7,2,4,5,1] => [6,3,2,7,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => [2,6,7,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,3,2,7,6] => [6,7,2,3,4,5,1] => [6,2,7,4,3,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,3,6,2,7] => [7,2,6,3,4,5,1] => [2,7,3,6,4,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,6,7,2] => [2,7,6,3,4,5,1] => [3,6,7,4,2,1,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,2,6] => [6,2,7,3,4,5,1] => [2,6,3,7,4,1,5] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,7,6,2] => [2,6,7,3,4,5,1] => [6,3,7,4,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,6,2,3,7] => [7,3,2,6,4,5,1] => [2,3,7,4,6,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,6,2,7,3] => [3,7,2,6,4,5,1] => [3,2,7,4,6,1,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,6,3,2,7] => [7,2,3,6,4,5,1] => [2,7,4,6,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,3,7,2] => [2,7,3,6,4,5,1] => [3,7,4,6,2,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,6,7,2,3] => [3,2,7,6,4,5,1] => [4,6,7,2,3,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,4,6,7,3,2] => [2,3,7,6,4,5,1] => [4,6,7,3,2,1,5] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,2,3,6] => [6,3,2,7,4,5,1] => [2,3,6,4,7,1,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,7,2,6,3] => [3,6,2,7,4,5,1] => [3,2,6,4,7,1,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,4,7,3,2,6] => [6,2,3,7,4,5,1] => [2,6,4,7,3,1,5] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,3,6,2] => [2,6,3,7,4,5,1] => [3,6,4,7,2,1,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,7,6,2,3] => [3,2,6,7,4,5,1] => [6,4,7,2,3,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,5,4,7,6,3,2] => [2,3,6,7,4,5,1] => [6,4,7,3,2,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,3,4,7] => [7,4,3,2,6,5,1] => [2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[1,5,6,2,3,7,4] => [4,7,3,2,6,5,1] => [4,2,3,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,2,4,3,7] => [7,3,4,2,6,5,1] => [3,7,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,7,3] => [3,7,4,2,6,5,1] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,6,2,7,3,4] => [4,3,7,2,6,5,1] => [3,4,2,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,2,7,4,3] => [3,4,7,2,6,5,1] => [4,3,2,7,1,5,6] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,6,3,2,4,7] => [7,4,2,3,6,5,1] => [2,4,7,3,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,2,7,4] => [4,7,2,3,6,5,1] => [4,2,7,3,1,5,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,6,3,4,2,7] => [7,2,4,3,6,5,1] => [2,7,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,4,7,2] => [2,7,4,3,6,5,1] => [3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,2,4] => [4,2,7,3,6,5,1] => [2,4,3,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,6,3,7,4,2] => [2,4,7,3,6,5,1] => [4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [2,3,7,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,7,3] => [3,7,2,4,6,5,1] => [3,2,7,4,1,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,2,7] => [7,2,3,4,6,5,1] => [2,7,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,3,7,2] => [2,7,3,4,6,5,1] => [3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,2,3] => [3,2,7,4,6,5,1] => [4,7,2,3,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,3,2] => [2,3,7,4,6,5,1] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,3,4] => [4,3,2,7,6,5,1] => [2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[1,5,6,7,2,4,3] => [3,4,2,7,6,5,1] => [3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,2,4] => [4,2,3,7,6,5,1] => [2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,4,2] => [2,4,3,7,6,5,1] => [3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,2,3] => [3,2,4,7,6,5,1] => [4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,4,6] => [6,4,3,2,7,5,1] => [2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,5,7,2,3,6,4] => [4,6,3,2,7,5,1] => [4,2,3,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,2,4,3,6] => [6,3,4,2,7,5,1] => [3,6,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,7,2,4,6,3] => [3,6,4,2,7,5,1] => [3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,7,2,6,3,4] => [4,3,6,2,7,5,1] => [3,4,2,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,2,6,4,3] => [3,4,6,2,7,5,1] => [4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,4,6] => [6,4,2,3,7,5,1] => [2,4,6,3,1,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,6,4] => [4,6,2,3,7,5,1] => [4,2,6,3,1,5,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,5,7,3,4,2,6] => [6,2,4,3,7,5,1] => [2,6,3,4,1,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,6,2] => [2,6,4,3,7,5,1] => [3,4,6,2,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,2,4] => [4,2,6,3,7,5,1] => [2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,7,3,6,4,2] => [2,4,6,3,7,5,1] => [4,3,6,2,1,5,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,3,6] => [6,3,2,4,7,5,1] => [2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,6,3] => [3,6,2,4,7,5,1] => [3,2,6,4,1,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,2,6] => [6,2,3,4,7,5,1] => [2,6,4,3,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,6,2] => [2,6,3,4,7,5,1] => [3,6,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,2,3] => [3,2,6,4,7,5,1] => [4,6,2,3,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,3,2] => [2,3,6,4,7,5,1] => [4,6,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,3,4] => [4,3,2,6,7,5,1] => [6,2,3,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,4,3] => [3,4,2,6,7,5,1] => [6,3,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,2,4] => [4,2,3,6,7,5,1] => [6,2,4,3,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,4,2] => [2,4,3,6,7,5,1] => [6,3,4,2,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,2,3] => [3,2,4,6,7,5,1] => [6,4,2,3,1,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,3,2] => [2,3,4,6,7,5,1] => [6,4,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,5,7] => [7,5,4,3,2,6,1] => [2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[1,6,2,3,4,7,5] => [5,7,4,3,2,6,1] => [5,2,3,4,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,3,5,4,7] => [7,4,5,3,2,6,1] => [4,7,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,5,7,4] => [4,7,5,3,2,6,1] => [4,2,3,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,3,7,4,5] => [5,4,7,3,2,6,1] => [4,5,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,3,7,5,4] => [4,5,7,3,2,6,1] => [5,4,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,5,7] => [7,5,3,4,2,6,1] => [3,5,7,2,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,7,5] => [5,7,3,4,2,6,1] => [5,3,7,2,4,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,4,5,3,7] => [7,3,5,4,2,6,1] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,7,3] => [3,7,5,4,2,6,1] => [3,2,4,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,7,3,5] => [5,3,7,4,2,6,1] => [3,5,2,4,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,7,5,3] => [3,5,7,4,2,6,1] => [5,3,2,4,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,4,7] => [7,4,3,5,2,6,1] => [3,4,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,7,4] => [4,7,3,5,2,6,1] => [4,3,7,2,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,3,7] => [7,3,4,5,2,6,1] => [3,7,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,7,3] => [3,7,4,5,2,6,1] => [4,7,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,7,3,4] => [4,3,7,5,2,6,1] => [3,4,2,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,5,7,4,3] => [3,4,7,5,2,6,1] => [4,3,2,5,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,3,4,5] => [5,4,3,7,2,6,1] => [3,4,5,2,7,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,7,3,5,4] => [4,5,3,7,2,6,1] => [4,3,5,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,4,3,5] => [5,3,4,7,2,6,1] => [3,5,4,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,4,5,3] => [3,5,4,7,2,6,1] => [4,5,3,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,5,3,4] => [4,3,5,7,2,6,1] => [5,3,4,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,7,5,4,3] => [3,4,5,7,2,6,1] => [5,4,3,2,7,1,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,4,5,7] => [7,5,4,2,3,6,1] => [2,4,5,7,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,4,7,5] => [5,7,4,2,3,6,1] => [5,2,4,7,3,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,5,4,7] => [7,4,5,2,3,6,1] => [4,7,2,5,3,1,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,5,7,4] => [4,7,5,2,3,6,1] => [4,2,5,7,3,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,7,4,5] => [5,4,7,2,3,6,1] => [4,5,2,7,3,1,6] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,7,5,4] => [4,5,7,2,3,6,1] => [5,4,2,7,3,1,6] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,2,5,7] => [7,5,2,4,3,6,1] => [2,5,7,3,4,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,2,7,5] => [5,7,2,4,3,6,1] => [5,2,7,3,4,1,6] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,4,5,2,7] => [7,2,5,4,3,6,1] => [2,7,3,4,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,5,7,2] => [2,7,5,4,3,6,1] => [3,4,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,2,5] => [5,2,7,4,3,6,1] => [2,5,3,4,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,4,7,5,2] => [2,5,7,4,3,6,1] => [5,3,4,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,2,4,7] => [7,4,2,5,3,6,1] => [2,4,7,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,2,7,4] => [4,7,2,5,3,6,1] => [4,2,7,3,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,4,2,7] => [7,2,4,5,3,6,1] => [2,7,4,3,5,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,4,7,2] => [2,7,4,5,3,6,1] => [4,7,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,2,4] => [4,2,7,5,3,6,1] => [2,4,3,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,4,2] => [2,4,7,5,3,6,1] => [4,3,5,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,2,4,5] => [5,4,2,7,3,6,1] => [2,4,5,3,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,7,2,5,4] => [4,5,2,7,3,6,1] => [4,2,5,3,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,4,2,5] => [5,2,4,7,3,6,1] => [2,5,4,3,7,1,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,4,5,2] => [2,5,4,7,3,6,1] => [4,5,3,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,2,4] => [4,2,5,7,3,6,1] => [5,2,4,3,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,4,2] => [2,4,5,7,3,6,1] => [5,4,3,7,2,1,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,3,5,7] => [7,5,3,2,4,6,1] => [2,3,5,7,4,1,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,3,7,5] => [5,7,3,2,4,6,1] => [5,2,3,7,4,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,2,5,3,7] => [7,3,5,2,4,6,1] => [3,7,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,5,7,3] => [3,7,5,2,4,6,1] => [3,2,5,7,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,7,3,5] => [5,3,7,2,4,6,1] => [3,5,2,7,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,2,7,5,3] => [3,5,7,2,4,6,1] => [5,3,2,7,4,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,3,2,5,7] => [7,5,2,3,4,6,1] => [2,5,7,4,3,1,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,2,7,5] => [5,7,2,3,4,6,1] => [5,2,7,4,3,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,3,5,2,7] => [7,2,5,3,4,6,1] => [2,7,3,5,4,1,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,5,7,2] => [2,7,5,3,4,6,1] => [3,5,7,4,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,2,5] => [5,2,7,3,4,6,1] => [2,5,3,7,4,1,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,3,7,5,2] => [2,5,7,3,4,6,1] => [5,3,7,4,2,1,6] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,2,3,7] => [7,3,2,5,4,6,1] => [2,3,7,4,5,1,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,2,7,3] => [3,7,2,5,4,6,1] => [3,2,7,4,5,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,3,2,7] => [7,2,3,5,4,6,1] => [2,7,4,5,3,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,3,7,2] => [2,7,3,5,4,6,1] => [3,7,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,7,2,3] => [3,2,7,5,4,6,1] => [4,5,7,2,3,1,6] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,5,7,3,2] => [2,3,7,5,4,6,1] => [4,5,7,3,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,3,5] => [5,3,2,7,4,6,1] => [2,3,5,4,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,5,3] => [3,5,2,7,4,6,1] => [3,2,5,4,7,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,3,2,5] => [5,2,3,7,4,6,1] => [2,5,4,7,3,1,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,5,2] => [2,5,3,7,4,6,1] => [3,5,4,7,2,1,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,2,3] => [3,2,5,7,4,6,1] => [5,4,7,2,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,3,2] => [2,3,5,7,4,6,1] => [5,4,7,3,2,1,6] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,3,4,7] => [7,4,3,2,5,6,1] => [2,3,4,7,5,1,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,6,5,2,3,7,4] => [4,7,3,2,5,6,1] => [4,2,3,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,5,2,4,3,7] => [7,3,4,2,5,6,1] => [3,7,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,7,3] => [3,7,4,2,5,6,1] => [3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,7,3,4] => [4,3,7,2,5,6,1] => [3,4,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,5,2,7,4,3] => [3,4,7,2,5,6,1] => [4,3,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,5,3,2,4,7] => [7,4,2,3,5,6,1] => [2,4,7,5,3,1,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,2,7,4] => [4,7,2,3,5,6,1] => [4,2,7,5,3,1,6] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,2,7] => [7,2,4,3,5,6,1] => [2,7,5,3,4,1,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,4,7,2] => [2,7,4,3,5,6,1] => [3,4,7,5,2,1,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,2,4] => [4,2,7,3,5,6,1] => [2,4,3,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,4,2] => [2,4,7,3,5,6,1] => [4,3,7,5,2,1,6] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,2,3,7] => [7,3,2,4,5,6,1] => [2,3,7,5,4,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,2,7,3] => [3,7,2,4,5,6,1] => [3,2,7,5,4,1,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [2,7,5,4,3,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,3,7,2] => [2,7,3,4,5,6,1] => [3,7,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,7,2,3] => [3,2,7,4,5,6,1] => [4,7,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,4,7,3,2] => [2,3,7,4,5,6,1] => [4,7,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,2,3,4] => [4,3,2,7,5,6,1] => [5,7,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,5,7,2,4,3] => [3,4,2,7,5,6,1] => [5,7,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,5,7,3,2,4] => [4,2,3,7,5,6,1] => [5,7,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[1,6,5,7,3,4,2] => [2,4,3,7,5,6,1] => [5,7,3,4,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,4,2,3] => [3,2,4,7,5,6,1] => [5,7,4,2,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,4,3,2] => [2,3,4,7,5,6,1] => [5,7,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,3,4,5] => [5,4,3,2,7,6,1] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,3,5,4] => [4,5,3,2,7,6,1] => [4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,3,5] => [5,3,4,2,7,6,1] => [3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,5,3] => [3,5,4,2,7,6,1] => [3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,3,4] => [4,3,5,2,7,6,1] => [3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,4,3] => [3,4,5,2,7,6,1] => [4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,4,5] => [5,4,2,3,7,6,1] => [2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,5,4] => [4,5,2,3,7,6,1] => [4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,2,5] => [5,2,4,3,7,6,1] => [2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,5,2] => [2,5,4,3,7,6,1] => [3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,2,4] => [4,2,5,3,7,6,1] => [2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,4,2] => [2,4,5,3,7,6,1] => [4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,3,5] => [5,3,2,4,7,6,1] => [2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,5,3] => [3,5,2,4,7,6,1] => [3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,6,7,4,3,2,5] => [5,2,3,4,7,6,1] => [2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,3,5,2] => [2,5,3,4,7,6,1] => [3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,2,3] => [3,2,5,4,7,6,1] => [4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,7,4,5,3,2] => [2,3,5,4,7,6,1] => [4,5,3,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,3,4] => [4,3,2,5,7,6,1] => [5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,4,3] => [3,4,2,5,7,6,1] => [5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,2,4] => [4,2,3,5,7,6,1] => [5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,4,2] => [2,4,3,5,7,6,1] => [5,3,4,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,2,3] => [3,2,4,5,7,6,1] => [5,4,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,3,2] => [2,3,4,5,7,6,1] => [5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,5,6] => [6,5,4,3,2,7,1] => [2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,6,5] => [5,6,4,3,2,7,1] => [5,2,3,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,4,6] => [6,4,5,3,2,7,1] => [4,6,2,3,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,6,4] => [4,6,5,3,2,7,1] => [4,2,3,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,4,5] => [5,4,6,3,2,7,1] => [4,5,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,3,6,5,4] => [4,5,6,3,2,7,1] => [5,4,2,3,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,5,6] => [6,5,3,4,2,7,1] => [3,5,6,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,6,5] => [5,6,3,4,2,7,1] => [5,3,6,2,4,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,5,3,6] => [6,3,5,4,2,7,1] => [3,6,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,5,6,3] => [3,6,5,4,2,7,1] => [3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,3,5] => [5,3,6,4,2,7,1] => [3,5,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,5,3] => [3,5,6,4,2,7,1] => [5,3,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,4,6] => [6,4,3,5,2,7,1] => [3,4,6,2,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,6,4] => [4,6,3,5,2,7,1] => [4,3,6,2,5,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,3,6] => [6,3,4,5,2,7,1] => [3,6,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,4,6,3] => [3,6,4,5,2,7,1] => [4,6,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,3,4] => [4,3,6,5,2,7,1] => [3,4,2,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,4,3] => [3,4,6,5,2,7,1] => [4,3,2,5,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,4,5] => [5,4,3,6,2,7,1] => [3,4,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,5,4] => [4,5,3,6,2,7,1] => [4,3,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,3,5] => [5,3,4,6,2,7,1] => [3,5,4,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,5,3] => [3,5,4,6,2,7,1] => [4,5,3,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,3,4] => [4,3,5,6,2,7,1] => [5,3,4,2,6,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,4,3] => [3,4,5,6,2,7,1] => [5,4,3,2,6,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,5,6] => [6,5,4,2,3,7,1] => [2,4,5,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,6,5] => [5,6,4,2,3,7,1] => [5,2,4,6,3,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,5,4,6] => [6,4,5,2,3,7,1] => [4,6,2,5,3,1,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,5,6,4] => [4,6,5,2,3,7,1] => [4,2,5,6,3,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,4,5] => [5,4,6,2,3,7,1] => [4,5,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,5,4] => [4,5,6,2,3,7,1] => [5,4,2,6,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,5,6] => [6,5,2,4,3,7,1] => [2,5,6,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,4,2,6,5] => [5,6,2,4,3,7,1] => [5,2,6,3,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,2,6] => [6,2,5,4,3,7,1] => [2,6,3,4,5,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,6,2] => [2,6,5,4,3,7,1] => [3,4,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,2,5] => [5,2,6,4,3,7,1] => [2,5,3,4,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,5,2] => [2,5,6,4,3,7,1] => [5,3,4,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,4,6] => [6,4,2,5,3,7,1] => [2,4,6,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,6,4] => [4,6,2,5,3,7,1] => [4,2,6,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,5,4,2,6] => [6,2,4,5,3,7,1] => [2,6,4,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,6,2] => [2,6,4,5,3,7,1] => [4,6,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,2,4] => [4,2,6,5,3,7,1] => [2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,4,2] => [2,4,6,5,3,7,1] => [4,3,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,4,5] => [5,4,2,6,3,7,1] => [2,4,5,3,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,5,4] => [4,5,2,6,3,7,1] => [4,2,5,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,2,5] => [5,2,4,6,3,7,1] => [2,5,4,3,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,4,5,2] => [2,5,4,6,3,7,1] => [4,5,3,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,2,4] => [4,2,5,6,3,7,1] => [5,2,4,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,4,2] => [2,4,5,6,3,7,1] => [5,4,3,6,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,5,6] => [6,5,3,2,4,7,1] => [2,3,5,6,4,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,6,5] => [5,6,3,2,4,7,1] => [5,2,3,6,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,3,6] => [6,3,5,2,4,7,1] => [3,6,2,5,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,6,3] => [3,6,5,2,4,7,1] => [3,2,5,6,4,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,6,3,5] => [5,3,6,2,4,7,1] => [3,5,2,6,4,1,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,2,6,5,3] => [3,5,6,2,4,7,1] => [5,3,2,6,4,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,5,6] => [6,5,2,3,4,7,1] => [2,5,6,4,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,6,5] => [5,6,2,3,4,7,1] => [5,2,6,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,2,6] => [6,2,5,3,4,7,1] => [2,6,3,5,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,6,2] => [2,6,5,3,4,7,1] => [3,5,6,4,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,2,5] => [5,2,6,3,4,7,1] => [2,5,3,6,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,5,2] => [2,5,6,3,4,7,1] => [5,3,6,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,3,6] => [6,3,2,5,4,7,1] => [2,3,6,4,5,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,6,3] => [3,6,2,5,4,7,1] => [3,2,6,4,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,2,6] => [6,2,3,5,4,7,1] => [2,6,4,5,3,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,6,2] => [2,6,3,5,4,7,1] => [3,6,4,5,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,6,2,3] => [3,2,6,5,4,7,1] => [4,5,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2] => [2,3,6,5,4,7,1] => [4,5,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,3,5] => [5,3,2,6,4,7,1] => [2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,5,3] => [3,5,2,6,4,7,1] => [3,2,5,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,4,6,3,2,5] => [5,2,3,6,4,7,1] => [2,5,4,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,5,2] => [2,5,3,6,4,7,1] => [3,5,4,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,2,3] => [3,2,5,6,4,7,1] => [5,4,6,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,6,5,3,2] => [2,3,5,6,4,7,1] => [5,4,6,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,4,6] => [6,4,3,2,5,7,1] => [2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,6,4] => [4,6,3,2,5,7,1] => [4,2,3,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,3,6] => [6,3,4,2,5,7,1] => [3,6,5,2,4,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,6,3] => [3,6,4,2,5,7,1] => [3,2,4,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,5,2,6,3,4] => [4,3,6,2,5,7,1] => [3,4,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,4,3] => [3,4,6,2,5,7,1] => [4,3,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,4,6] => [6,4,2,3,5,7,1] => [2,4,6,5,3,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,6,4] => [4,6,2,3,5,7,1] => [4,2,6,5,3,1,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,2,6] => [6,2,4,3,5,7,1] => [2,6,5,3,4,1,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,6,2] => [2,6,4,3,5,7,1] => [3,4,6,5,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,2,4] => [4,2,6,3,5,7,1] => [2,4,3,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,7,5,3,6,4,2] => [2,4,6,3,5,7,1] => [4,3,6,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,3,6] => [6,3,2,4,5,7,1] => [2,3,6,5,4,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,6,3] => [3,6,2,4,5,7,1] => [3,2,6,5,4,1,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,2,6] => [6,2,3,4,5,7,1] => [2,6,5,4,3,1,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,6,2] => [2,6,3,4,5,7,1] => [3,6,5,4,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,2,3] => [3,2,6,4,5,7,1] => [4,6,5,2,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,4,6,3,2] => [2,3,6,4,5,7,1] => [4,6,5,3,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4] => [4,3,2,6,5,7,1] => [5,6,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,4,3] => [3,4,2,6,5,7,1] => [5,6,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,2,4] => [4,2,3,6,5,7,1] => [5,6,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,6,3,4,2] => [2,4,3,6,5,7,1] => [5,6,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,4,2,3] => [3,2,4,6,5,7,1] => [5,6,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,4,3,2] => [2,3,4,6,5,7,1] => [5,6,4,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,4,5] => [5,4,3,2,6,7,1] => [6,2,3,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,3,5,4] => [4,5,3,2,6,7,1] => [6,4,2,3,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,3,5] => [5,3,4,2,6,7,1] => [6,3,5,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,5,3] => [3,5,4,2,6,7,1] => [6,3,2,4,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,3,4] => [4,3,5,2,6,7,1] => [6,3,4,2,5,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,4,3] => [3,4,5,2,6,7,1] => [6,4,3,2,5,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,4,5] => [5,4,2,3,6,7,1] => [6,2,4,5,3,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,5,4] => [4,5,2,3,6,7,1] => [6,4,2,5,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,2,5] => [5,2,4,3,6,7,1] => [6,2,5,3,4,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,5,2] => [2,5,4,3,6,7,1] => [6,3,4,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,2,4] => [4,2,5,3,6,7,1] => [6,2,4,3,5,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,4,2] => [2,4,5,3,6,7,1] => [6,4,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,3,5] => [5,3,2,4,6,7,1] => [6,2,3,5,4,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,5,3] => [3,5,2,4,6,7,1] => [6,3,2,5,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,2,5] => [5,2,3,4,6,7,1] => [6,2,5,4,3,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,5,2] => [2,5,3,4,6,7,1] => [6,3,5,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3] => [3,2,5,4,6,7,1] => [6,4,5,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,3,2] => [2,3,5,4,6,7,1] => [6,4,5,3,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,3,4] => [4,3,2,5,6,7,1] => [6,5,2,3,4,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,2,4,3] => [3,4,2,5,6,7,1] => [6,5,3,2,4,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,2,4] => [4,2,3,5,6,7,1] => [6,5,2,4,3,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2] => [2,4,3,5,6,7,1] => [6,5,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,2,3] => [3,2,4,5,6,7,1] => [6,5,4,2,3,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,4,3,2] => [2,3,4,5,6,7,1] => [6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => [5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => [5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,5,6] => [6,5,7,4,3,1,2] => [5,6,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,3,4,7,6,5] => [5,6,7,4,3,1,2] => [6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => [4,6,7,1,3,5,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => [6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => [4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => [4,1,3,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,4,6] => [6,4,7,5,3,1,2] => [4,6,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,6,4] => [4,6,7,5,3,1,2] => [6,4,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,5,7] => [7,5,4,6,3,1,2] => [4,5,7,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,7,5] => [5,7,4,6,3,1,2] => [5,4,7,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,4,7] => [7,4,5,6,3,1,2] => [4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,5,7,4] => [4,7,5,6,3,1,2] => [5,7,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,4,5] => [5,4,7,6,3,1,2] => [4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,3,6,7,5,4] => [4,5,7,6,3,1,2] => [5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,5,6] => [6,5,4,7,3,1,2] => [4,5,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,6,5] => [5,6,4,7,3,1,2] => [5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,4,6] => [6,4,5,7,3,1,2] => [4,6,5,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,6,4] => [4,6,5,7,3,1,2] => [5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,4,5] => [5,4,6,7,3,1,2] => [6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,5,4] => [4,5,6,7,3,1,2] => [6,5,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => [3,5,6,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => [6,3,5,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => [5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => [5,3,6,7,1,4,2] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,3,7,5,6] => [6,5,7,3,4,1,2] => [5,6,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,1,4,3,7,6,5] => [5,6,7,3,4,1,2] => [6,5,3,7,1,4,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => [3,6,7,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,4,5,3,7,6] => [6,7,3,5,4,1,2] => [6,3,7,1,4,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => [3,7,1,4,5,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,1,4,5,7,3,6] => [6,3,7,5,4,1,2] => [3,6,1,4,5,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,6,3] => [3,6,7,5,4,1,2] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,5,7] => [7,5,3,6,4,1,2] => [3,5,7,1,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,4,6,3,7,5] => [5,7,3,6,4,1,2] => [5,3,7,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,6,5,3,7] => [7,3,5,6,4,1,2] => [3,7,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,7,3] => [3,7,5,6,4,1,2] => [5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,3,5] => [5,3,7,6,4,1,2] => [3,5,1,4,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,5,3] => [3,5,7,6,4,1,2] => [5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,7,3,5,6] => [6,5,3,7,4,1,2] => [3,5,6,1,4,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,4,7,3,6,5] => [5,6,3,7,4,1,2] => [5,3,6,1,4,7,2] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,3,6] => [6,3,5,7,4,1,2] => [3,6,5,1,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,6,3] => [3,6,5,7,4,1,2] => [5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,4,7,6,3,5] => [5,3,6,7,4,1,2] => [6,3,5,1,4,7,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,5,3] => [3,5,6,7,4,1,2] => [6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,6,7] => [7,6,4,3,5,1,2] => [3,4,6,7,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,4,7,6] => [6,7,4,3,5,1,2] => [6,3,4,7,1,5,2] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,3,6,4,7] => [7,4,6,3,5,1,2] => [4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,6,7,4] => [4,7,6,3,5,1,2] => [4,3,6,7,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,4,6] => [6,4,7,3,5,1,2] => [4,6,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,3,7,6,4] => [4,6,7,3,5,1,2] => [6,4,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,5,4,3,6,7] => [7,6,3,4,5,1,2] => [3,6,7,4,1,5,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [6,3,7,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,4,6,3,7] => [7,3,6,4,5,1,2] => [3,7,4,6,1,5,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,5,4,6,7,3] => [3,7,6,4,5,1,2] => [4,6,7,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,4,7,3,6] => [6,3,7,4,5,1,2] => [3,6,4,7,1,5,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,7,6,3] => [3,6,7,4,5,1,2] => [6,4,7,3,1,5,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,3,4,7] => [7,4,3,6,5,1,2] => [3,4,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,1,5,6,3,7,4] => [4,7,3,6,5,1,2] => [4,3,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,1,5,6,4,3,7] => [7,3,4,6,5,1,2] => [3,7,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,7,3] => [3,7,4,6,5,1,2] => [4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,3,4] => [4,3,7,6,5,1,2] => [3,4,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,6,7,4,3] => [3,4,7,6,5,1,2] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,4,6] => [6,4,3,7,5,1,2] => [3,4,6,1,5,7,2] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,5,7,3,6,4] => [4,6,3,7,5,1,2] => [4,3,6,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,5,7,4,3,6] => [6,3,4,7,5,1,2] => [3,6,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,6,3] => [3,6,4,7,5,1,2] => [4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,3,4] => [4,3,6,7,5,1,2] => [6,3,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,4,3] => [3,4,6,7,5,1,2] => [6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,5,7] => [7,5,4,3,6,1,2] => [3,4,5,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[2,1,6,3,4,7,5] => [5,7,4,3,6,1,2] => [5,3,4,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,1,6,3,5,4,7] => [7,4,5,3,6,1,2] => [4,7,3,5,1,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,5,7,4] => [4,7,5,3,6,1,2] => [4,3,5,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,4,5] => [5,4,7,3,6,1,2] => [4,5,3,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,1,6,3,7,5,4] => [4,5,7,3,6,1,2] => [5,4,3,7,1,6,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,5,7] => [7,5,3,4,6,1,2] => [3,5,7,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,7,5] => [5,7,3,4,6,1,2] => [5,3,7,4,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,4,5,3,7] => [7,3,5,4,6,1,2] => [3,7,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,6,4,5,7,3] => [3,7,5,4,6,1,2] => [4,5,7,3,1,6,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,3,5] => [5,3,7,4,6,1,2] => [3,5,4,7,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,7,5,3] => [3,5,7,4,6,1,2] => [5,4,7,3,1,6,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,5,3,4,7] => [7,4,3,5,6,1,2] => [3,4,7,5,1,6,2] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,6,5,3,7,4] => [4,7,3,5,6,1,2] => [4,3,7,5,1,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,6,5,4,3,7] => [7,3,4,5,6,1,2] => [3,7,5,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,6,5,4,7,3] => [3,7,4,5,6,1,2] => [4,7,5,3,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,6,5,7,3,4] => [4,3,7,5,6,1,2] => [5,7,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,5,7,4,3] => [3,4,7,5,6,1,2] => [5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,3,4,5] => [5,4,3,7,6,1,2] => [3,4,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,3,5,4] => [4,5,3,7,6,1,2] => [4,3,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,3,5] => [5,3,4,7,6,1,2] => [3,5,4,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,7,4,5,3] => [3,5,4,7,6,1,2] => [4,5,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,3,4] => [4,3,5,7,6,1,2] => [5,3,4,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,4,3] => [3,4,5,7,6,1,2] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,5,6] => [6,5,4,3,7,1,2] => [3,4,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,4,6,5] => [5,6,4,3,7,1,2] => [5,3,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,5,4,6] => [6,4,5,3,7,1,2] => [4,6,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,5,6,4] => [4,6,5,3,7,1,2] => [4,3,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,6,4,5] => [5,4,6,3,7,1,2] => [4,5,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,3,6,5,4] => [4,5,6,3,7,1,2] => [5,4,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,3,5,6] => [6,5,3,4,7,1,2] => [3,5,6,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,3,6,5] => [5,6,3,4,7,1,2] => [5,3,6,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,5,3,6] => [6,3,5,4,7,1,2] => [3,6,4,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,5,6,3] => [3,6,5,4,7,1,2] => [4,5,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,4,6,3,5] => [5,3,6,4,7,1,2] => [3,5,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,4,6,5,3] => [3,5,6,4,7,1,2] => [5,4,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,5,3,4,6] => [6,4,3,5,7,1,2] => [3,4,6,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,3,6,4] => [4,6,3,5,7,1,2] => [4,3,6,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,4,3,6] => [6,3,4,5,7,1,2] => [3,6,5,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,7,5,4,6,3] => [3,6,4,5,7,1,2] => [4,6,5,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,5,6,3,4] => [4,3,6,5,7,1,2] => [5,6,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,4,3] => [3,4,6,5,7,1,2] => [5,6,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,3,4,5] => [5,4,3,6,7,1,2] => [6,3,4,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,6,3,5,4] => [4,5,3,6,7,1,2] => [6,4,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,6,4,3,5] => [5,3,4,6,7,1,2] => [6,3,5,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,1,7,6,4,5,3] => [3,5,4,6,7,1,2] => [6,4,5,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,3,4] => [4,3,5,6,7,1,2] => [6,5,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,5,4,3] => [3,4,5,6,7,1,2] => [6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => [6,1,4,5,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => [5,1,4,6,7,2,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => [5,6,1,4,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,4,7,6,5] => [5,6,7,4,1,3,2] => [6,5,1,4,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => [4,6,7,1,5,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,4,7,6] => [6,7,4,5,1,3,2] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,3,1,5,6,4,7] => [7,4,6,5,1,3,2] => [4,7,1,5,6,2,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => [4,1,5,6,7,2,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,7,4,6] => [6,4,7,5,1,3,2] => [4,6,1,5,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,5,7,6,4] => [4,6,7,5,1,3,2] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,6,4,5,7] => [7,5,4,6,1,3,2] => [4,5,7,1,6,2,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,6,4,7,5] => [5,7,4,6,1,3,2] => [5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,6,5,4,7] => [7,4,5,6,1,3,2] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,5,7,4] => [4,7,5,6,1,3,2] => [5,7,4,1,6,2,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,7,4,5] => [5,4,7,6,1,3,2] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,6,7,5,4] => [4,5,7,6,1,3,2] => [5,4,1,6,7,2,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,4,5,6] => [6,5,4,7,1,3,2] => [4,5,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,4,6,5] => [5,6,4,7,1,3,2] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,5,4,6] => [6,4,5,7,1,3,2] => [4,6,5,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,1,7,5,6,4] => [4,6,5,7,1,3,2] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,4,5] => [5,4,6,7,1,3,2] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,5,4] => [4,5,6,7,1,3,2] => [6,5,4,1,7,2,3] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [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)
[2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => [5,1,6,7,2,3,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,3,4,1,7,5,6] => [6,5,7,1,4,3,2] => [5,6,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,1,7,6,5] => [5,6,7,1,4,3,2] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [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] => [1,7,6,5,4,3,2] => [2,3,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,1,6] => [6,1,7,5,4,3,2] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,6,1] => [1,6,7,5,4,3,2] => [6,2,3,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,5,7] => [7,5,1,6,4,3,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,6,1,7,5] => [5,7,1,6,4,3,2] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,6,5,1,7] => [7,1,5,6,4,3,2] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,7,1] => [1,7,5,6,4,3,2] => [5,7,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,4,6,7,1,5] => [5,1,7,6,4,3,2] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,3,4,6,7,5,1] => [1,5,7,6,4,3,2] => [5,2,3,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,5,6] => [6,5,1,7,4,3,2] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,7,1,6,5] => [5,6,1,7,4,3,2] => [5,1,6,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,4,7,5,1,6] => [6,1,5,7,4,3,2] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,5,6,1] => [1,6,5,7,4,3,2] => [5,6,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,4,7,6,1,5] => [5,1,6,7,4,3,2] => [6,1,5,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,6,5,1] => [1,5,6,7,4,3,2] => [6,5,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,4,6,7] => [7,6,4,1,5,3,2] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,4,7,6] => [6,7,4,1,5,3,2] => [6,1,4,7,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,1,6,4,7] => [7,4,6,1,5,3,2] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,3,5,1,6,7,4] => [4,7,6,1,5,3,2] => [4,1,6,7,2,3,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,3,5,1,7,4,6] => [6,4,7,1,5,3,2] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,3,5,1,7,6,4] => [4,6,7,1,5,3,2] => [6,4,1,7,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,3,5,4,1,6,7] => [7,6,1,4,5,3,2] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,1,7,6] => [6,7,1,4,5,3,2] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,6,1,7] => [7,1,6,4,5,3,2] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,7,1] => [1,7,6,4,5,3,2] => [4,6,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,5,4,7,1,6] => [6,1,7,4,5,3,2] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,4,7,6,1] => [1,6,7,4,5,3,2] => [6,4,7,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,5,6,1,4,7] => [7,4,1,6,5,3,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,5,6,1,7,4] => [4,7,1,6,5,3,2] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,6,4,1,7] => [7,1,4,6,5,3,2] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,7,1] => [1,7,4,6,5,3,2] => [4,7,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,1,4] => [4,1,7,6,5,3,2] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7)
[2,3,5,6,7,4,1] => [1,4,7,6,5,3,2] => [4,2,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,4,6] => [6,4,1,7,5,3,2] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,5,7,1,6,4] => [4,6,1,7,5,3,2] => [4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,1,6] => [6,1,4,7,5,3,2] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,4,6,1] => [1,6,4,7,5,3,2] => [4,6,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,1,4] => [4,1,6,7,5,3,2] => [6,1,4,2,3,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,4,1] => [1,4,6,7,5,3,2] => [6,4,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,5,7] => [7,5,4,1,6,3,2] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,1,4,7,5] => [5,7,4,1,6,3,2] => [5,1,4,7,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,5,4,7] => [7,4,5,1,6,3,2] => [4,7,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,5,7,4] => [4,7,5,1,6,3,2] => [4,1,5,7,2,3,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,1,7,4,5] => [5,4,7,1,6,3,2] => [4,5,1,7,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,3,6,1,7,5,4] => [4,5,7,1,6,3,2] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[2,3,6,4,1,5,7] => [7,5,1,4,6,3,2] => [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)
[2,3,6,4,1,7,5] => [5,7,1,4,6,3,2] => [5,1,7,4,2,3,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,4,5,1,7] => [7,1,5,4,6,3,2] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,4,5,7,1] => [1,7,5,4,6,3,2] => [4,5,7,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,7,1,5] => [5,1,7,4,6,3,2] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,4,7,5,1] => [1,5,7,4,6,3,2] => [5,4,7,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,4,7] => [7,4,1,5,6,3,2] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,5,1,7,4] => [4,7,1,5,6,3,2] => [4,1,7,5,2,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,4,1,7] => [7,1,4,5,6,3,2] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,7,1] => [1,7,4,5,6,3,2] => [4,7,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,7,1,4] => [4,1,7,5,6,3,2] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,7,4,1] => [1,4,7,5,6,3,2] => [5,7,4,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,1,4,5] => [5,4,1,7,6,3,2] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,1,5,4] => [4,5,1,7,6,3,2] => [4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,7,4,1,5] => [5,1,4,7,6,3,2] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,4,5,1] => [1,5,4,7,6,3,2] => [4,5,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,6,7,5,1,4] => [4,1,5,7,6,3,2] => [5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,4,1] => [1,4,5,7,6,3,2] => [5,4,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,5,6] => [6,5,4,1,7,3,2] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,4,6,5] => [5,6,4,1,7,3,2] => [5,1,4,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,1,5,4,6] => [6,4,5,1,7,3,2] => [4,6,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,5,6,4] => [4,6,5,1,7,3,2] => [4,1,5,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,7,1,6,4,5] => [5,4,6,1,7,3,2] => [4,5,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,6,5,4] => [4,5,6,1,7,3,2] => [5,4,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,4,1,6,5] => [5,6,1,4,7,3,2] => [5,1,6,4,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,5,1,6] => [6,1,5,4,7,3,2] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,4,5,6,1] => [1,6,5,4,7,3,2] => [4,5,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,4,6,1,5] => [5,1,6,4,7,3,2] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,6,5,1] => [1,5,6,4,7,3,2] => [5,4,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,5,1,4,6] => [6,4,1,5,7,3,2] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,1,6,4] => [4,6,1,5,7,3,2] => [4,1,6,5,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,7,5,4,1,6] => [6,1,4,5,7,3,2] => [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)
[2,3,7,5,4,6,1] => [1,6,4,5,7,3,2] => [4,6,5,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,5,6,1,4] => [4,1,6,5,7,3,2] => [5,6,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,6,4,1] => [1,4,6,5,7,3,2] => [5,6,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,4,5] => [5,4,1,6,7,3,2] => [6,1,4,5,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,3,7,6,1,5,4] => [4,5,1,6,7,3,2] => [6,4,1,5,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,1,5] => [5,1,4,6,7,3,2] => [6,1,5,4,2,3,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,4,5,1] => [1,5,4,6,7,3,2] => [6,4,5,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,5,1,4] => [4,1,5,6,7,3,2] => [6,5,1,4,2,3,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,5,4,1] => [1,4,5,6,7,3,2] => [6,5,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,6,7] => [7,6,5,3,1,4,2] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,5,7,6] => [6,7,5,3,1,4,2] => [6,1,3,5,7,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,6,5,7] => [7,5,6,3,1,4,2] => [5,7,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,6,7,5] => [5,7,6,3,1,4,2] => [5,1,3,6,7,2,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,1,3,7,5,6] => [6,5,7,3,1,4,2] => [5,6,1,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,1,3,7,6,5] => [5,6,7,3,1,4,2] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,3,6,7] => [7,6,3,5,1,4,2] => [3,6,7,1,5,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,5,3,7,6] => [6,7,3,5,1,4,2] => [6,3,7,1,5,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,3,7] => [7,3,6,5,1,4,2] => [3,7,1,5,6,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,7,3] => [3,7,6,5,1,4,2] => [3,1,5,6,7,2,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,4,1,5,7,3,6] => [6,3,7,5,1,4,2] => [3,6,1,5,7,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,7,6,3] => [3,6,7,5,1,4,2] => [6,3,1,5,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,3,5,7] => [7,5,3,6,1,4,2] => [3,5,7,1,6,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,1,6,3,7,5] => [5,7,3,6,1,4,2] => [5,3,7,1,6,2,4] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,6,5,3,7] => [7,3,5,6,1,4,2] => [3,7,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,5,7,3] => [3,7,5,6,1,4,2] => [5,7,3,1,6,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,1,6,7,3,5] => [5,3,7,6,1,4,2] => [3,5,1,6,7,2,4] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,1,6,7,5,3] => [3,5,7,6,1,4,2] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,5,6] => [6,5,3,7,1,4,2] => [3,5,6,1,7,2,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,4,1,7,3,6,5] => [5,6,3,7,1,4,2] => [5,3,6,1,7,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,1,7,5,3,6] => [6,3,5,7,1,4,2] => [3,6,5,1,7,2,4] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,1,7,5,6,3] => [3,6,5,7,1,4,2] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,7,6,3,5] => [5,3,6,7,1,4,2] => [6,3,5,1,7,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,5,3] => [3,5,6,7,1,4,2] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,6,7] => [7,6,5,1,3,4,2] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,7,6] => [6,7,5,1,3,4,2] => [6,1,5,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,5,7] => [7,5,6,1,3,4,2] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,4,3,1,6,7,5] => [5,7,6,1,3,4,2] => [5,1,6,7,3,2,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,5,6] => [6,5,7,1,3,4,2] => [5,6,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,1,7,6,5] => [5,6,7,1,3,4,2] => [6,5,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,6,7] => [7,6,1,5,3,4,2] => [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)
[2,4,3,5,1,7,6] => [6,7,1,5,3,4,2] => [6,1,7,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,5,6,1,7] => [7,1,6,5,3,4,2] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,7,1] => [1,7,6,5,3,4,2] => [3,5,6,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,5,7,1,6] => [6,1,7,5,3,4,2] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,6,1] => [1,6,7,5,3,4,2] => [6,3,5,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,1,5,7] => [7,5,1,6,3,4,2] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,1,7,5] => [5,7,1,6,3,4,2] => [5,1,7,3,6,2,4] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,3,6,5,1,7] => [7,1,5,6,3,4,2] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,5,7,1] => [1,7,5,6,3,4,2] => [5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,7,1,5] => [5,1,7,6,3,4,2] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,3,6,7,5,1] => [1,5,7,6,3,4,2] => [5,3,6,7,2,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,5,6] => [6,5,1,7,3,4,2] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,3,7,1,6,5] => [5,6,1,7,3,4,2] => [5,1,6,3,7,2,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,7,5,1,6] => [6,1,5,7,3,4,2] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,6,1] => [1,6,5,7,3,4,2] => [5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,7,6,1,5] => [5,1,6,7,3,4,2] => [6,1,5,3,7,2,4] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,5,1] => [1,5,6,7,3,4,2] => [6,5,3,7,2,4,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,3,6,7] => [7,6,3,1,5,4,2] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,5,1,3,7,6] => [6,7,3,1,5,4,2] => [6,1,3,7,2,4,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,5,1,6,3,7] => [7,3,6,1,5,4,2] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,7,3] => [3,7,6,1,5,4,2] => [3,1,6,7,2,4,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[2,4,5,1,7,3,6] => [6,3,7,1,5,4,2] => [3,6,1,7,2,4,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,5,1,7,6,3] => [3,6,7,1,5,4,2] => [6,3,1,7,2,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,6,7] => [7,6,1,3,5,4,2] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,1,7,6] => [6,7,1,3,5,4,2] => [6,1,7,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,3,6,1,7] => [7,1,6,3,5,4,2] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,7,1] => [1,7,6,3,5,4,2] => [3,6,7,2,4,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,1,6] => [6,1,7,3,5,4,2] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,5,3,7,6,1] => [1,6,7,3,5,4,2] => [6,3,7,2,4,5,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,3,7] => [7,3,1,6,5,4,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,6,1,7,3] => [3,7,1,6,5,4,2] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,4,5,6,3,1,7] => [7,1,3,6,5,4,2] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,7,1] => [1,7,3,6,5,4,2] => [3,7,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,1,3] => [3,1,7,6,5,4,2] => [1,3,2,4,5,6,7] => ([(5,6)],7)
[2,4,5,6,7,3,1] => [1,3,7,6,5,4,2] => [3,2,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,3,6] => [6,3,1,7,5,4,2] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[2,4,5,7,1,6,3] => [3,6,1,7,5,4,2] => [3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[2,4,5,7,3,1,6] => [6,1,3,7,5,4,2] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,3,6,1] => [1,6,3,7,5,4,2] => [3,6,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,1,3] => [3,1,6,7,5,4,2] => [6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,3,1] => [1,3,6,7,5,4,2] => [6,3,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,5,7] => [7,5,3,1,6,4,2] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,6,1,3,7,5] => [5,7,3,1,6,4,2] => [5,1,3,7,2,4,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,4,6,1,5,3,7] => [7,3,5,1,6,4,2] => [3,7,1,5,2,4,6] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,5,7,3] => [3,7,5,1,6,4,2] => [3,1,5,7,2,4,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,4,6,1,7,3,5] => [5,3,7,1,6,4,2] => [3,5,1,7,2,4,6] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[2,4,6,1,7,5,3] => [3,5,7,1,6,4,2] => [5,3,1,7,2,4,6] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,4,6,3,1,5,7] => [7,5,1,3,6,4,2] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,1,7,5] => [5,7,1,3,6,4,2] => [5,1,7,3,2,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,5,1,7] => [7,1,5,3,6,4,2] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,7,1] => [1,7,5,3,6,4,2] => [3,5,7,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,1,5] => [5,1,7,3,6,4,2] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,7,5,1] => [1,5,7,3,6,4,2] => [5,3,7,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,6,5,1,3,7] => [7,3,1,5,6,4,2] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,7,3] => [3,7,1,5,6,4,2] => [3,1,7,5,2,4,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,1,7] => [7,1,3,5,6,4,2] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,7,1] => [1,7,3,5,6,4,2] => [3,7,5,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,1,3] => [3,1,7,5,6,4,2] => [5,7,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,5,7,3,1] => [1,3,7,5,6,4,2] => [5,7,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,6,7,1,3,5] => [5,3,1,7,6,4,2] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7)
[2,4,6,7,1,5,3] => [3,5,1,7,6,4,2] => [3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[2,4,6,7,3,1,5] => [5,1,3,7,6,4,2] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,5,1] => [1,5,3,7,6,4,2] => [3,5,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,1,3] => [3,1,5,7,6,4,2] => [5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,3,1] => [1,3,5,7,6,4,2] => [5,3,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,3,5,6] => [6,5,3,1,7,4,2] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,4,7,1,3,6,5] => [5,6,3,1,7,4,2] => [5,1,3,6,2,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,7,1,5,3,6] => [6,3,5,1,7,4,2] => [3,6,1,5,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,1,5,6,3] => [3,6,5,1,7,4,2] => [3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,6,3,5] => [5,3,6,1,7,4,2] => [3,5,1,6,2,4,7] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,4,7,1,6,5,3] => [3,5,6,1,7,4,2] => [5,3,1,6,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,1,5,6] => [6,5,1,3,7,4,2] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,6,5] => [5,6,1,3,7,4,2] => [5,1,6,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,1,6] => [6,1,5,3,7,4,2] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,5,6,1] => [1,6,5,3,7,4,2] => [3,5,6,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,1,5] => [5,1,6,3,7,4,2] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,5,1] => [1,5,6,3,7,4,2] => [5,3,6,2,4,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,3,6] => [6,3,1,5,7,4,2] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,6,3] => [3,6,1,5,7,4,2] => [3,1,6,5,2,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,4,7,5,3,1,6] => [6,1,3,5,7,4,2] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,3,6,1] => [1,6,3,5,7,4,2] => [3,6,5,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,1,3] => [3,1,6,5,7,4,2] => [5,6,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,6,3,1] => [1,3,6,5,7,4,2] => [5,6,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,7,6,1,3,5] => [5,3,1,6,7,4,2] => [6,1,3,5,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,5,3] => [3,5,1,6,7,4,2] => [6,3,1,5,2,4,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,7,6,3,1,5] => [5,1,3,6,7,4,2] => [6,1,5,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,3,5,1] => [1,5,3,6,7,4,2] => [6,3,5,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,1,3] => [3,1,5,6,7,4,2] => [6,5,1,3,2,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,3,1] => [1,3,5,6,7,4,2] => [6,5,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,6,7] => [7,6,4,3,1,5,2] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,1,3,4,7,6] => [6,7,4,3,1,5,2] => [6,1,3,4,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,4,7] => [7,4,6,3,1,5,2] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,7,4] => [4,7,6,3,1,5,2] => [4,1,3,6,7,2,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,7,4,6] => [6,4,7,3,1,5,2] => [4,6,1,3,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,7,6,4] => [4,6,7,3,1,5,2] => [6,4,1,3,7,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,3,6,7] => [7,6,3,4,1,5,2] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,7,6] => [6,7,3,4,1,5,2] => [6,3,7,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7] => [7,3,6,4,1,5,2] => [3,7,1,4,6,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,6,7,3] => [3,7,6,4,1,5,2] => [3,1,4,6,7,2,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,5,1,4,7,3,6] => [6,3,7,4,1,5,2] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,4,7,6,3] => [3,6,7,4,1,5,2] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,4,7] => [7,4,3,6,1,5,2] => [3,4,7,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,7,4] => [4,7,3,6,1,5,2] => [4,3,7,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,6,4,3,7] => [7,3,4,6,1,5,2] => [3,7,4,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,4,7,3] => [3,7,4,6,1,5,2] => [4,7,3,1,6,2,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,7,3,4] => [4,3,7,6,1,5,2] => [3,4,1,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,1,6,7,4,3] => [3,4,7,6,1,5,2] => [4,3,1,6,7,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,1,7,3,4,6] => [6,4,3,7,1,5,2] => [3,4,6,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[2,5,1,7,3,6,4] => [4,6,3,7,1,5,2] => [4,3,6,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,1,7,4,3,6] => [6,3,4,7,1,5,2] => [3,6,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,4,6,3] => [3,6,4,7,1,5,2] => [4,6,3,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,6,3,4] => [4,3,6,7,1,5,2] => [6,3,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,6,4,3] => [3,4,6,7,1,5,2] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,6,7] => [7,6,4,1,3,5,2] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,7,6] => [6,7,4,1,3,5,2] => [6,1,4,7,3,2,5] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,4,7] => [7,4,6,1,3,5,2] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,7,4] => [4,7,6,1,3,5,2] => [4,1,6,7,3,2,5] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,7,4,6] => [6,4,7,1,3,5,2] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,1,7,6,4] => [4,6,7,1,3,5,2] => [6,4,1,7,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,1,6,7] => [7,6,1,4,3,5,2] => [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)
[2,5,3,4,1,7,6] => [6,7,1,4,3,5,2] => [6,1,7,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,4,6,1,7] => [7,1,6,4,3,5,2] => [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)
[2,5,3,4,6,7,1] => [1,7,6,4,3,5,2] => [3,4,6,7,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,1,6] => [6,1,7,4,3,5,2] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,6,1] => [1,6,7,4,3,5,2] => [6,3,4,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,4,7] => [7,4,1,6,3,5,2] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,7,4] => [4,7,1,6,3,5,2] => [4,1,7,3,6,2,5] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,5,3,6,4,1,7] => [7,1,4,6,3,5,2] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,4,7,1] => [1,7,4,6,3,5,2] => [4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,7,1,4] => [4,1,7,6,3,5,2] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,5,3,6,7,4,1] => [1,4,7,6,3,5,2] => [4,3,6,7,2,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,4,6] => [6,4,1,7,3,5,2] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,6,4] => [4,6,1,7,3,5,2] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,7,4,1,6] => [6,1,4,7,3,5,2] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,4,6,1] => [1,6,4,7,3,5,2] => [4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,6,1,4] => [4,1,6,7,3,5,2] => [6,1,4,3,7,2,5] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,6,4,1] => [1,4,6,7,3,5,2] => [6,4,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,3,6,7] => [7,6,3,1,4,5,2] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,1,3,7,6] => [6,7,3,1,4,5,2] => [6,1,3,7,4,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,3,7] => [7,3,6,1,4,5,2] => [3,7,1,6,4,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,7,3] => [3,7,6,1,4,5,2] => [3,1,6,7,4,2,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,1,7,3,6] => [6,3,7,1,4,5,2] => [3,6,1,7,4,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,7,6,3] => [3,6,7,1,4,5,2] => [6,3,1,7,4,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,3,1,6,7] => [7,6,1,3,4,5,2] => [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)
[2,5,4,3,1,7,6] => [6,7,1,3,4,5,2] => [6,1,7,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,3,6,1,7] => [7,1,6,3,4,5,2] => [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)
[2,5,4,3,6,7,1] => [1,7,6,3,4,5,2] => [3,6,7,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,1,6] => [6,1,7,3,4,5,2] => [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)
[2,5,4,3,7,6,1] => [1,6,7,3,4,5,2] => [6,3,7,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,3,7] => [7,3,1,6,4,5,2] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,7,3] => [3,7,1,6,4,5,2] => [3,1,7,4,6,2,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,1,7] => [7,1,3,6,4,5,2] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,7,1] => [1,7,3,6,4,5,2] => [3,7,4,6,2,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,7,1,3] => [3,1,7,6,4,5,2] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,6,7,3,1] => [1,3,7,6,4,5,2] => [4,6,7,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,3,6] => [6,3,1,7,4,5,2] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,6,3] => [3,6,1,7,4,5,2] => [3,1,6,4,7,2,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,7,3,1,6] => [6,1,3,7,4,5,2] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,6,1] => [1,6,3,7,4,5,2] => [3,6,4,7,2,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,6,1,3] => [3,1,6,7,4,5,2] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[2,5,4,7,6,3,1] => [1,3,6,7,4,5,2] => [6,4,7,3,2,5,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,3,4,7] => [7,4,3,1,6,5,2] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[2,5,6,1,3,7,4] => [4,7,3,1,6,5,2] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,1,4,3,7] => [7,3,4,1,6,5,2] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,7,3] => [3,7,4,1,6,5,2] => [3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[2,5,6,1,7,3,4] => [4,3,7,1,6,5,2] => [3,4,1,7,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[2,5,6,1,7,4,3] => [3,4,7,1,6,5,2] => [4,3,1,7,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[2,5,6,3,1,4,7] => [7,4,1,3,6,5,2] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,3,1,7,4] => [4,7,1,3,6,5,2] => [4,1,7,3,2,5,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,1,7] => [7,1,4,3,6,5,2] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,7,1] => [1,7,4,3,6,5,2] => [3,4,7,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,1,4] => [4,1,7,3,6,5,2] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,6,3,7,4,1] => [1,4,7,3,6,5,2] => [4,3,7,2,5,6,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,3,7] => [7,3,1,4,6,5,2] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,7,3] => [3,7,1,4,6,5,2] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,1,7] => [7,1,3,4,6,5,2] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,7,1] => [1,7,3,4,6,5,2] => [3,7,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,1,3] => [3,1,7,4,6,5,2] => [4,7,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,6,4,7,3,1] => [1,3,7,4,6,5,2] => [4,7,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,3,4] => [4,3,1,7,6,5,2] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7)
[2,5,6,7,1,4,3] => [3,4,1,7,6,5,2] => [3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[2,5,6,7,3,1,4] => [4,1,3,7,6,5,2] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,4,1] => [1,4,3,7,6,5,2] => [3,4,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,1,3] => [3,1,4,7,6,5,2] => [4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => [4,3,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,4,6] => [6,4,3,1,7,5,2] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[2,5,7,1,3,6,4] => [4,6,3,1,7,5,2] => [4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,3,6] => [6,3,4,1,7,5,2] => [3,6,1,4,2,5,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,6,3] => [3,6,4,1,7,5,2] => [3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[2,5,7,1,6,3,4] => [4,3,6,1,7,5,2] => [3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,5,7,1,6,4,3] => [3,4,6,1,7,5,2] => [4,3,1,6,2,5,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[2,5,7,3,1,4,6] => [6,4,1,3,7,5,2] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,3,1,6,4] => [4,6,1,3,7,5,2] => [4,1,6,3,2,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,4,1,6] => [6,1,4,3,7,5,2] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,4,6,1] => [1,6,4,3,7,5,2] => [3,4,6,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,1,4] => [4,1,6,3,7,5,2] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,7,3,6,4,1] => [1,4,6,3,7,5,2] => [4,3,6,2,5,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,3,6] => [6,3,1,4,7,5,2] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,6,3] => [3,6,1,4,7,5,2] => [3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,3,1,6] => [6,1,3,4,7,5,2] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,3,6,1] => [1,6,3,4,7,5,2] => [3,6,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,1,3] => [3,1,6,4,7,5,2] => [4,6,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,6,3,1] => [1,3,6,4,7,5,2] => [4,6,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,3,4] => [4,3,1,6,7,5,2] => [6,1,3,4,2,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,4,3] => [3,4,1,6,7,5,2] => [6,3,1,4,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,1,4] => [4,1,3,6,7,5,2] => [6,1,4,3,2,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,4,1] => [1,4,3,6,7,5,2] => [6,3,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,1,3] => [3,1,4,6,7,5,2] => [6,4,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => [6,4,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,5,7] => [7,5,4,3,1,6,2] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,6,1,3,4,7,5] => [5,7,4,3,1,6,2] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,3,5,4,7] => [7,4,5,3,1,6,2] => [4,7,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,3,5,7,4] => [4,7,5,3,1,6,2] => [4,1,3,5,7,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,7,4,5] => [5,4,7,3,1,6,2] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,3,7,5,4] => [4,5,7,3,1,6,2] => [5,4,1,3,7,2,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,3,5,7] => [7,5,3,4,1,6,2] => [3,5,7,1,4,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,3,7,5] => [5,7,3,4,1,6,2] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,1,4,5,3,7] => [7,3,5,4,1,6,2] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,5,7,3] => [3,7,5,4,1,6,2] => [3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[2,6,1,4,7,3,5] => [5,3,7,4,1,6,2] => [3,5,1,4,7,2,6] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,7,5,3] => [3,5,7,4,1,6,2] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,3,4,7] => [7,4,3,5,1,6,2] => [3,4,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,1,5,3,7,4] => [4,7,3,5,1,6,2] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[2,6,1,5,4,3,7] => [7,3,4,5,1,6,2] => [3,7,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,4,7,3] => [3,7,4,5,1,6,2] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,7,3,4] => [4,3,7,5,1,6,2] => [3,4,1,5,7,2,6] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[2,6,1,5,7,4,3] => [3,4,7,5,1,6,2] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,7,3,4,5] => [5,4,3,7,1,6,2] => [3,4,5,1,7,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[2,6,1,7,3,5,4] => [4,5,3,7,1,6,2] => [4,3,5,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,3,5] => [5,3,4,7,1,6,2] => [3,5,4,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,7,4,5,3] => [3,5,4,7,1,6,2] => [4,5,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,3,4] => [4,3,5,7,1,6,2] => [5,3,4,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,4,3] => [3,4,5,7,1,6,2] => [5,4,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,5,7] => [7,5,4,1,3,6,2] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,7,5] => [5,7,4,1,3,6,2] => [5,1,4,7,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,4,7] => [7,4,5,1,3,6,2] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,7,4] => [4,7,5,1,3,6,2] => [4,1,5,7,3,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,4,5] => [5,4,7,1,3,6,2] => [4,5,1,7,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,5,4] => [4,5,7,1,3,6,2] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,5,7] => [7,5,1,4,3,6,2] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,7,5] => [5,7,1,4,3,6,2] => [5,1,7,3,4,2,6] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,5,1,7] => [7,1,5,4,3,6,2] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,7,1] => [1,7,5,4,3,6,2] => [3,4,5,7,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,7,1,5] => [5,1,7,4,3,6,2] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,4,7,5,1] => [1,5,7,4,3,6,2] => [5,3,4,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,4,7] => [7,4,1,5,3,6,2] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,7,4] => [4,7,1,5,3,6,2] => [4,1,7,3,5,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,1,7] => [7,1,4,5,3,6,2] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,7,1] => [1,7,4,5,3,6,2] => [4,7,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,1,4] => [4,1,7,5,3,6,2] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,3,5,7,4,1] => [1,4,7,5,3,6,2] => [4,3,5,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,1,4,5] => [5,4,1,7,3,6,2] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,1,5,4] => [4,5,1,7,3,6,2] => [4,1,5,3,7,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,4,1,5] => [5,1,4,7,3,6,2] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,4,5,1] => [1,5,4,7,3,6,2] => [4,5,3,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,5,1,4] => [4,1,5,7,3,6,2] => [5,1,4,3,7,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,7,5,4,1] => [1,4,5,7,3,6,2] => [5,4,3,7,2,6,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,5,7] => [7,5,3,1,4,6,2] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,7,5] => [5,7,3,1,4,6,2] => [5,1,3,7,4,2,6] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,5,3,7] => [7,3,5,1,4,6,2] => [3,7,1,5,4,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,5,7,3] => [3,7,5,1,4,6,2] => [3,1,5,7,4,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,7,3,5] => [5,3,7,1,4,6,2] => [3,5,1,7,4,2,6] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,1,7,5,3] => [3,5,7,1,4,6,2] => [5,3,1,7,4,2,6] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,3,1,5,7] => [7,5,1,3,4,6,2] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,1,7,5] => [5,7,1,3,4,6,2] => [5,1,7,4,3,2,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,5,1,7] => [7,1,5,3,4,6,2] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,7,1] => [1,7,5,3,4,6,2] => [3,5,7,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,7,1,5] => [5,1,7,3,4,6,2] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,4,3,7,5,1] => [1,5,7,3,4,6,2] => [5,3,7,4,2,6,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,3,7] => [7,3,1,5,4,6,2] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,7,3] => [3,7,1,5,4,6,2] => [3,1,7,4,5,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,4,5,3,1,7] => [7,1,3,5,4,6,2] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,3,7,1] => [1,7,3,5,4,6,2] => [3,7,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,7,1,3] => [3,1,7,5,4,6,2] => [4,5,7,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,5,7,3,1] => [1,3,7,5,4,6,2] => [4,5,7,3,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,3,5] => [5,3,1,7,4,6,2] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,4,7,1,5,3] => [3,5,1,7,4,6,2] => [3,1,5,4,7,2,6] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,4,7,3,1,5] => [5,1,3,7,4,6,2] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,3,5,1] => [1,5,3,7,4,6,2] => [3,5,4,7,2,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,1,3] => [3,1,5,7,4,6,2] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[2,6,4,7,5,3,1] => [1,3,5,7,4,6,2] => [5,4,7,3,2,6,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,4,7] => [7,4,3,1,5,6,2] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,7,4] => [4,7,3,1,5,6,2] => [4,1,3,7,5,2,6] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,5,1,4,3,7] => [7,3,4,1,5,6,2] => [3,7,5,1,4,2,6] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,7,3] => [3,7,4,1,5,6,2] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,3,4] => [4,3,7,1,5,6,2] => [3,4,1,7,5,2,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,4,3] => [3,4,7,1,5,6,2] => [4,3,1,7,5,2,6] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,5,3,1,4,7] => [7,4,1,3,5,6,2] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,7,4] => [4,7,1,3,5,6,2] => [4,1,7,5,3,2,6] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,1,7] => [7,1,4,3,5,6,2] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,7,1] => [1,7,4,3,5,6,2] => [3,4,7,5,2,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,1,4] => [4,1,7,3,5,6,2] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,7,4,1] => [1,4,7,3,5,6,2] => [4,3,7,5,2,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,3,7] => [7,3,1,4,5,6,2] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,7,3] => [3,7,1,4,5,6,2] => [3,1,7,5,4,2,6] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,1,7] => [7,1,3,4,5,6,2] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => [3,7,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,7,1,3] => [3,1,7,4,5,6,2] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => [4,7,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,3,4] => [4,3,1,7,5,6,2] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,7,1,4,3] => [3,4,1,7,5,6,2] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,7,3,1,4] => [4,1,3,7,5,6,2] => [5,7,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,7,3,4,1] => [1,4,3,7,5,6,2] => [5,7,3,4,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,7,4,1,3] => [3,1,4,7,5,6,2] => [5,7,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => [5,7,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,3,4,5] => [5,4,3,1,7,6,2] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7)
[2,6,7,1,3,5,4] => [4,5,3,1,7,6,2] => [4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,1,4,3,5] => [5,3,4,1,7,6,2] => [3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,1,4,5,3] => [3,5,4,1,7,6,2] => [3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[2,6,7,1,5,3,4] => [4,3,5,1,7,6,2] => [3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,7,1,5,4,3] => [3,4,5,1,7,6,2] => [4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,3,1,4,5] => [5,4,1,3,7,6,2] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,1,5,4] => [4,5,1,3,7,6,2] => [4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,3,4,1,5] => [5,1,4,3,7,6,2] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,4,5,1] => [1,5,4,3,7,6,2] => [3,4,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,1,4] => [4,1,5,3,7,6,2] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,4,1] => [1,4,5,3,7,6,2] => [4,3,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,3,5] => [5,3,1,4,7,6,2] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,5,3] => [3,5,1,4,7,6,2] => [3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,4,3,1,5] => [5,1,3,4,7,6,2] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,3,5,1] => [1,5,3,4,7,6,2] => [3,5,4,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,1,3] => [3,1,5,4,7,6,2] => [4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,7,4,5,3,1] => [1,3,5,4,7,6,2] => [4,5,3,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,3,4] => [4,3,1,5,7,6,2] => [5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,4,3] => [3,4,1,5,7,6,2] => [5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,1,4] => [4,1,3,5,7,6,2] => [5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,3,4,1] => [1,4,3,5,7,6,2] => [5,3,4,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,1,3] => [3,1,4,5,7,6,2] => [5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => [5,4,3,2,6,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,5,6] => [6,5,4,3,1,7,2] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,1,3,4,6,5] => [5,6,4,3,1,7,2] => [5,1,3,4,6,2,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,4,6] => [6,4,5,3,1,7,2] => [4,6,1,3,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,6,4] => [4,6,5,3,1,7,2] => [4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,3,6,4,5] => [5,4,6,3,1,7,2] => [4,5,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,3,6,5,4] => [4,5,6,3,1,7,2] => [5,4,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,3,5,6] => [6,5,3,4,1,7,2] => [3,5,6,1,4,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,3,6,5] => [5,6,3,4,1,7,2] => [5,3,6,1,4,2,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,5,3,6] => [6,3,5,4,1,7,2] => [3,6,1,4,5,2,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,5,6,3] => [3,6,5,4,1,7,2] => [3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[2,7,1,4,6,3,5] => [5,3,6,4,1,7,2] => [3,5,1,4,6,2,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,4,6,5,3] => [3,5,6,4,1,7,2] => [5,3,1,4,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,5,3,4,6] => [6,4,3,5,1,7,2] => [3,4,6,1,5,2,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[2,7,1,5,3,6,4] => [4,6,3,5,1,7,2] => [4,3,6,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,1,5,4,3,6] => [6,3,4,5,1,7,2] => [3,6,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,6,3] => [3,6,4,5,1,7,2] => [4,6,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,5,6,3,4] => [4,3,6,5,1,7,2] => [3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,1,5,6,4,3] => [3,4,6,5,1,7,2] => [4,3,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,6,3,4,5] => [5,4,3,6,1,7,2] => [3,4,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,3,5,4] => [4,5,3,6,1,7,2] => [4,3,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,4,3,5] => [5,3,4,6,1,7,2] => [3,5,4,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,4,5,3] => [3,5,4,6,1,7,2] => [4,5,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,3,4] => [4,3,5,6,1,7,2] => [5,3,4,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,6,5,4,3] => [3,4,5,6,1,7,2] => [5,4,3,1,6,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,5,6] => [6,5,4,1,3,7,2] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,4,6,5] => [5,6,4,1,3,7,2] => [5,1,4,6,3,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,4,6] => [6,4,5,1,3,7,2] => [4,6,1,5,3,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,3,1,5,6,4] => [4,6,5,1,3,7,2] => [4,1,5,6,3,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,6,4,5] => [5,4,6,1,3,7,2] => [4,5,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,1,6,5,4] => [4,5,6,1,3,7,2] => [5,4,1,6,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,1,5,6] => [6,5,1,4,3,7,2] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,3,4,1,6,5] => [5,6,1,4,3,7,2] => [5,1,6,3,4,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,5,6,1] => [1,6,5,4,3,7,2] => [3,4,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,1,5] => [5,1,6,4,3,7,2] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,4,6,5,1] => [1,5,6,4,3,7,2] => [5,3,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,4,6] => [6,4,1,5,3,7,2] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,6,4] => [4,6,1,5,3,7,2] => [4,1,6,3,5,2,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,3,5,4,1,6] => [6,1,4,5,3,7,2] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,4,6,1] => [1,6,4,5,3,7,2] => [4,6,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,1,4] => [4,1,6,5,3,7,2] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,4,1] => [1,4,6,5,3,7,2] => [4,3,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,4,5] => [5,4,1,6,3,7,2] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,5,4] => [4,5,1,6,3,7,2] => [4,1,5,3,6,2,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,1,5] => [5,1,4,6,3,7,2] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,5,1] => [1,5,4,6,3,7,2] => [4,5,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,1,4] => [4,1,5,6,3,7,2] => [5,1,4,3,6,2,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,4,1] => [1,4,5,6,3,7,2] => [5,4,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,5,6] => [6,5,3,1,4,7,2] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,6,5] => [5,6,3,1,4,7,2] => [5,1,3,6,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,3,6] => [6,3,5,1,4,7,2] => [3,6,1,5,4,2,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,6,3] => [3,6,5,1,4,7,2] => [3,1,5,6,4,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,3,5] => [5,3,6,1,4,7,2] => [3,5,1,6,4,2,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,6,5,3] => [3,5,6,1,4,7,2] => [5,3,1,6,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,1,5,6] => [6,5,1,3,4,7,2] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,1,6,5] => [5,6,1,3,4,7,2] => [5,1,6,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,1,6] => [6,1,5,3,4,7,2] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,5,6,1] => [1,6,5,3,4,7,2] => [3,5,6,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,1,5] => [5,1,6,3,4,7,2] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,5,1] => [1,5,6,3,4,7,2] => [5,3,6,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,3,6] => [6,3,1,5,4,7,2] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,6,3] => [3,6,1,5,4,7,2] => [3,1,6,4,5,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,5,3,1,6] => [6,1,3,5,4,7,2] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,3,6,1] => [1,6,3,5,4,7,2] => [3,6,4,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,1,3] => [3,1,6,5,4,7,2] => [4,5,6,1,3,2,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,3,1] => [1,3,6,5,4,7,2] => [4,5,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,3,5] => [5,3,1,6,4,7,2] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,1,5,3] => [3,5,1,6,4,7,2] => [3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,4,6,3,1,5] => [5,1,3,6,4,7,2] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,3,5,1] => [1,5,3,6,4,7,2] => [3,5,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,1,3] => [3,1,5,6,4,7,2] => [5,4,6,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,3,1] => [1,3,5,6,4,7,2] => [5,4,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,4,6] => [6,4,3,1,5,7,2] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,6,4] => [4,6,3,1,5,7,2] => [4,1,3,6,5,2,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,3,6] => [6,3,4,1,5,7,2] => [3,6,5,1,4,2,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,6,3] => [3,6,4,1,5,7,2] => [3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,5,1,6,3,4] => [4,3,6,1,5,7,2] => [3,4,1,6,5,2,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,1,6,4,3] => [3,4,6,1,5,7,2] => [4,3,1,6,5,2,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,4,6] => [6,4,1,3,5,7,2] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,1,6,4] => [4,6,1,3,5,7,2] => [4,1,6,5,3,2,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,1,6] => [6,1,4,3,5,7,2] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,4,6,1] => [1,6,4,3,5,7,2] => [3,4,6,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,1,4] => [4,1,6,3,5,7,2] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,7,5,3,6,4,1] => [1,4,6,3,5,7,2] => [4,3,6,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,3,6] => [6,3,1,4,5,7,2] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,6,3] => [3,6,1,4,5,7,2] => [3,1,6,5,4,2,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,3,1,6] => [6,1,3,4,5,7,2] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,3,6,1] => [1,6,3,4,5,7,2] => [3,6,5,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,1,3] => [3,1,6,4,5,7,2] => [4,6,5,1,3,2,7] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,3,1] => [1,3,6,4,5,7,2] => [4,6,5,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4] => [4,3,1,6,5,7,2] => [5,6,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,6,1,4,3] => [3,4,1,6,5,7,2] => [5,6,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,6,3,1,4] => [4,1,3,6,5,7,2] => [5,6,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,6,3,4,1] => [1,4,3,6,5,7,2] => [5,6,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,4,1,3] => [3,1,4,6,5,7,2] => [5,6,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,3,1] => [1,3,4,6,5,7,2] => [5,6,4,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,4,5] => [5,4,3,1,6,7,2] => [6,1,3,4,5,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,5,4] => [4,5,3,1,6,7,2] => [6,4,1,3,5,2,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,4,3,5] => [5,3,4,1,6,7,2] => [6,3,5,1,4,2,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,4,5,3] => [3,5,4,1,6,7,2] => [6,3,1,4,5,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,3,4] => [4,3,5,1,6,7,2] => [6,3,4,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,4,3] => [3,4,5,1,6,7,2] => [6,4,3,1,5,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,4,5] => [5,4,1,3,6,7,2] => [6,1,4,5,3,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,5,4] => [4,5,1,3,6,7,2] => [6,4,1,5,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,1,5] => [5,1,4,3,6,7,2] => [6,1,5,3,4,2,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,4,5,1] => [1,5,4,3,6,7,2] => [6,3,4,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,1,4] => [4,1,5,3,6,7,2] => [6,1,4,3,5,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,5,4,1] => [1,4,5,3,6,7,2] => [6,4,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,3,5] => [5,3,1,4,6,7,2] => [6,1,3,5,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,5,3] => [3,5,1,4,6,7,2] => [6,3,1,5,4,2,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,1,5] => [5,1,3,4,6,7,2] => [6,1,5,4,3,2,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,3,5,1] => [1,5,3,4,6,7,2] => [6,3,5,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3] => [3,1,5,4,6,7,2] => [6,4,5,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,6,4,5,3,1] => [1,3,5,4,6,7,2] => [6,4,5,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,3,4] => [4,3,1,5,6,7,2] => [6,5,1,3,4,2,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,1,4,3] => [3,4,1,5,6,7,2] => [6,5,3,1,4,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,1,4] => [4,1,3,5,6,7,2] => [6,5,1,4,3,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,3,4,1] => [1,4,3,5,6,7,2] => [6,5,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,1,3] => [3,1,4,5,6,7,2] => [6,5,4,1,3,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => [6,5,4,3,2,7,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,4,5,7,6] => [6,7,5,4,2,1,3] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,5,7] => [7,5,6,4,2,1,3] => [5,7,1,2,4,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => [5,1,2,4,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,4,7,5,6] => [6,5,7,4,2,1,3] => [5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,2,4,7,6,5] => [5,6,7,4,2,1,3] => [6,5,1,2,4,7,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,4,6,7] => [7,6,4,5,2,1,3] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,2,5,4,7,6] => [6,7,4,5,2,1,3] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,5,6,4,7] => [7,4,6,5,2,1,3] => [4,7,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,2,5,6,7,4] => [4,7,6,5,2,1,3] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,1,2,5,7,4,6] => [6,4,7,5,2,1,3] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,5,7,6,4] => [4,6,7,5,2,1,3] => [6,4,1,2,5,7,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,5,7] => [7,5,4,6,2,1,3] => [4,5,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[3,1,2,6,4,7,5] => [5,7,4,6,2,1,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,2,6,5,4,7] => [7,4,5,6,2,1,3] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,5,7,4] => [4,7,5,6,2,1,3] => [5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,4,5] => [5,4,7,6,2,1,3] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,6,7,5,4] => [4,5,7,6,2,1,3] => [5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,7,4,5,6] => [6,5,4,7,2,1,3] => [4,5,6,1,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,1,2,7,4,6,5] => [5,6,4,7,2,1,3] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,4,6] => [6,4,5,7,2,1,3] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,6,4] => [4,6,5,7,2,1,3] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,6,4,5] => [5,4,6,7,2,1,3] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,6,5,4] => [4,5,6,7,2,1,3] => [6,5,4,1,2,7,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,6,7] => [7,6,5,2,4,1,3] => [2,5,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,1,4,2,5,7,6] => [6,7,5,2,4,1,3] => [6,2,5,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,4,2,6,5,7] => [7,5,6,2,4,1,3] => [5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,4,2,6,7,5] => [5,7,6,2,4,1,3] => [5,2,6,7,1,4,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,4,2,7,5,6] => [6,5,7,2,4,1,3] => [5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,2,7,6,5] => [5,6,7,2,4,1,3] => [6,5,2,7,1,4,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,5,2,6,7] => [7,6,2,5,4,1,3] => [2,6,7,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,5,2,7,6] => [6,7,2,5,4,1,3] => [6,2,7,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,4,5,6,2,7] => [7,2,6,5,4,1,3] => [2,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,5,6,7,2] => [2,7,6,5,4,1,3] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,4,5,7,2,6] => [6,2,7,5,4,1,3] => [2,6,1,4,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,4,5,7,6,2] => [2,6,7,5,4,1,3] => [6,2,1,4,5,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,2,5,7] => [7,5,2,6,4,1,3] => [2,5,7,1,4,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,6,2,7,5] => [5,7,2,6,4,1,3] => [5,2,7,1,4,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,5,2,7] => [7,2,5,6,4,1,3] => [2,7,5,1,4,6,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,5,7,2] => [2,7,5,6,4,1,3] => [5,7,2,1,4,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,4,6,7,2,5] => [5,2,7,6,4,1,3] => [2,5,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,5,2] => [2,5,7,6,4,1,3] => [5,2,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,7,2,5,6] => [6,5,2,7,4,1,3] => [2,5,6,1,4,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,7,2,6,5] => [5,6,2,7,4,1,3] => [5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,4,7,5,2,6] => [6,2,5,7,4,1,3] => [2,6,5,1,4,7,3] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,6,2] => [2,6,5,7,4,1,3] => [5,6,2,1,4,7,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,4,7,6,2,5] => [5,2,6,7,4,1,3] => [6,2,5,1,4,7,3] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,5,2] => [2,5,6,7,4,1,3] => [6,5,2,1,4,7,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,6,7] => [7,6,4,2,5,1,3] => [2,4,6,7,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,4,7,6] => [6,7,4,2,5,1,3] => [6,2,4,7,1,5,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,2,6,4,7] => [7,4,6,2,5,1,3] => [4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,6,7,4] => [4,7,6,2,5,1,3] => [4,2,6,7,1,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,7,4,6] => [6,4,7,2,5,1,3] => [4,6,2,7,1,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,2,7,6,4] => [4,6,7,2,5,1,3] => [6,4,2,7,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,4,2,6,7] => [7,6,2,4,5,1,3] => [2,6,7,4,1,5,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,4,2,7,6] => [6,7,2,4,5,1,3] => [6,2,7,4,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,4,6,2,7] => [7,2,6,4,5,1,3] => [2,7,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,4,6,7,2] => [2,7,6,4,5,1,3] => [4,6,7,2,1,5,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,4,7,2,6] => [6,2,7,4,5,1,3] => [2,6,4,7,1,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,5,4,7,6,2] => [2,6,7,4,5,1,3] => [6,4,7,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,2,4,7] => [7,4,2,6,5,1,3] => [2,4,7,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,6,2,7,4] => [4,7,2,6,5,1,3] => [4,2,7,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,4,2,7] => [7,2,4,6,5,1,3] => [2,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,5,6,4,7,2] => [2,7,4,6,5,1,3] => [4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,5,6,7,2,4] => [4,2,7,6,5,1,3] => [2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,1,5,6,7,4,2] => [2,4,7,6,5,1,3] => [4,2,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,5,7,2,4,6] => [6,4,2,7,5,1,3] => [2,4,6,1,5,7,3] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,5,7,2,6,4] => [4,6,2,7,5,1,3] => [4,2,6,1,5,7,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,5,7,4,2,6] => [6,2,4,7,5,1,3] => [2,6,4,1,5,7,3] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,6,2] => [2,6,4,7,5,1,3] => [4,6,2,1,5,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,5,7,6,2,4] => [4,2,6,7,5,1,3] => [6,2,4,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,4,2] => [2,4,6,7,5,1,3] => [6,4,2,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,5,7] => [7,5,4,2,6,1,3] => [2,4,5,7,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[3,1,6,2,4,7,5] => [5,7,4,2,6,1,3] => [5,2,4,7,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,4,7] => [7,4,5,2,6,1,3] => [4,7,2,5,1,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,2,5,7,4] => [4,7,5,2,6,1,3] => [4,2,5,7,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,4,5] => [5,4,7,2,6,1,3] => [4,5,2,7,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,5,4] => [4,5,7,2,6,1,3] => [5,4,2,7,1,6,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,5,7] => [7,5,2,4,6,1,3] => [2,5,7,4,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,7,5] => [5,7,2,4,6,1,3] => [5,2,7,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,1,6,4,5,2,7] => [7,2,5,4,6,1,3] => [2,7,4,5,1,6,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,4,5,7,2] => [2,7,5,4,6,1,3] => [4,5,7,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,6,4,7,2,5] => [5,2,7,4,6,1,3] => [2,5,4,7,1,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,7,5,2] => [2,5,7,4,6,1,3] => [5,4,7,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,1,6,5,2,4,7] => [7,4,2,5,6,1,3] => [2,4,7,5,1,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,2,7,4] => [4,7,2,5,6,1,3] => [4,2,7,5,1,6,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,2,7] => [7,2,4,5,6,1,3] => [2,7,5,4,1,6,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,5,4,7,2] => [2,7,4,5,6,1,3] => [4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,6,5,7,2,4] => [4,2,7,5,6,1,3] => [5,7,2,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,5,7,4,2] => [2,4,7,5,6,1,3] => [5,7,4,2,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,6,7,2,4,5] => [5,4,2,7,6,1,3] => [2,4,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,7,2,5,4] => [4,5,2,7,6,1,3] => [4,2,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[3,1,6,7,4,2,5] => [5,2,4,7,6,1,3] => [2,5,4,1,6,7,3] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,6,7,4,5,2] => [2,5,4,7,6,1,3] => [4,5,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,7,5,2,4] => [4,2,5,7,6,1,3] => [5,2,4,1,6,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,6,7,5,4,2] => [2,4,5,7,6,1,3] => [5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,5,6] => [6,5,4,2,7,1,3] => [2,4,5,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,4,6,5] => [5,6,4,2,7,1,3] => [5,2,4,6,1,7,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,5,4,6] => [6,4,5,2,7,1,3] => [4,6,2,5,1,7,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,1,7,2,5,6,4] => [4,6,5,2,7,1,3] => [4,2,5,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[3,1,7,2,6,4,5] => [5,4,6,2,7,1,3] => [4,5,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,2,6,5,4] => [4,5,6,2,7,1,3] => [5,4,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,2,5,6] => [6,5,2,4,7,1,3] => [2,5,6,4,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,2,6,5] => [5,6,2,4,7,1,3] => [5,2,6,4,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,5,2,6] => [6,2,5,4,7,1,3] => [2,6,4,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,5,6,2] => [2,6,5,4,7,1,3] => [4,5,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,1,7,4,6,2,5] => [5,2,6,4,7,1,3] => [2,5,4,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,4,6,5,2] => [2,5,6,4,7,1,3] => [5,4,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,1,7,5,2,4,6] => [6,4,2,5,7,1,3] => [2,4,6,5,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,2,6,4] => [4,6,2,5,7,1,3] => [4,2,6,5,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,4,2,6] => [6,2,4,5,7,1,3] => [2,6,5,4,1,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,7,5,4,6,2] => [2,6,4,5,7,1,3] => [4,6,5,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[3,1,7,5,6,2,4] => [4,2,6,5,7,1,3] => [5,6,2,4,1,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,7,5,6,4,2] => [2,4,6,5,7,1,3] => [5,6,4,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,2,4,5] => [5,4,2,6,7,1,3] => [6,2,4,5,1,7,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,7,6,2,5,4] => [4,5,2,6,7,1,3] => [6,4,2,5,1,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,7,6,4,2,5] => [5,2,4,6,7,1,3] => [6,2,5,4,1,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,1,7,6,4,5,2] => [2,5,4,6,7,1,3] => [6,4,5,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,2,4] => [4,2,5,6,7,1,3] => [6,5,2,4,1,7,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,4,2] => [2,4,5,6,7,1,3] => [6,5,4,2,1,7,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,7,6] => [6,7,5,4,1,2,3] => [6,1,4,5,7,3,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,5,7] => [7,5,6,4,1,2,3] => [5,7,1,4,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,7,5] => [5,7,6,4,1,2,3] => [5,1,4,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,5,6] => [6,5,7,4,1,2,3] => [5,6,1,4,7,3,2] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [6,5,1,4,7,3,2] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,6,7] => [7,6,4,5,1,2,3] => [4,6,7,1,5,3,2] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,7,6] => [6,7,4,5,1,2,3] => [6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,4,7] => [7,4,6,5,1,2,3] => [4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,7,4] => [4,7,6,5,1,2,3] => [4,1,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,4,6] => [6,4,7,5,1,2,3] => [4,6,1,5,7,3,2] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,6,4] => [4,6,7,5,1,2,3] => [6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,5,7] => [7,5,4,6,1,2,3] => [4,5,7,1,6,3,2] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,7,5] => [5,7,4,6,1,2,3] => [5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,5,4,7] => [7,4,5,6,1,2,3] => [4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,5,7,4] => [4,7,5,6,1,2,3] => [5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,4,5] => [5,4,7,6,1,2,3] => [4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,5,4] => [4,5,7,6,1,2,3] => [5,4,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,5,6] => [6,5,4,7,1,2,3] => [4,5,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,6,5] => [5,6,4,7,1,2,3] => [5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,4,6] => [6,4,5,7,1,2,3] => [4,6,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,6,4] => [4,6,5,7,1,2,3] => [5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,6,4,5] => [5,4,6,7,1,2,3] => [6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,6,5,4] => [4,5,6,7,1,2,3] => [6,5,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,5,7,6] => [6,7,5,1,4,2,3] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,5,7] => [7,5,6,1,4,2,3] => [5,7,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,2,4,1,6,7,5] => [5,7,6,1,4,2,3] => [5,1,6,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,5,6] => [6,5,7,1,4,2,3] => [5,6,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,1,7,6,5] => [5,6,7,1,4,2,3] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [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)
[3,2,4,5,1,7,6] => [6,7,1,5,4,2,3] => [6,1,7,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [2,4,5,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,1,6] => [6,1,7,5,4,2,3] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,6,1] => [1,6,7,5,4,2,3] => [6,2,4,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,5,7] => [7,5,1,6,4,2,3] => [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)
[3,2,4,6,1,7,5] => [5,7,1,6,4,2,3] => [5,1,7,2,4,6,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,6,5,1,7] => [7,1,5,6,4,2,3] => [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)
[3,2,4,6,5,7,1] => [1,7,5,6,4,2,3] => [5,7,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,1,5] => [5,1,7,6,4,2,3] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,5,1] => [1,5,7,6,4,2,3] => [5,2,4,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,1,5,6] => [6,5,1,7,4,2,3] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,4,7,1,6,5] => [5,6,1,7,4,2,3] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,4,7,5,1,6] => [6,1,5,7,4,2,3] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,5,6,1] => [1,6,5,7,4,2,3] => [5,6,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,1,5] => [5,1,6,7,4,2,3] => [6,1,5,2,4,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,5,1] => [1,5,6,7,4,2,3] => [6,5,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,6,7] => [7,6,4,1,5,2,3] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,1,4,7,6] => [6,7,4,1,5,2,3] => [6,1,4,7,2,5,3] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,4,7] => [7,4,6,1,5,2,3] => [4,7,1,6,2,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,7,4] => [4,7,6,1,5,2,3] => [4,1,6,7,2,5,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,5,1,7,4,6] => [6,4,7,1,5,2,3] => [4,6,1,7,2,5,3] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,5,1,7,6,4] => [4,6,7,1,5,2,3] => [6,4,1,7,2,5,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,1,6,7] => [7,6,1,4,5,2,3] => [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)
[3,2,5,4,1,7,6] => [6,7,1,4,5,2,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,4,6,1,7] => [7,1,6,4,5,2,3] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => [4,6,7,2,5,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,5,4,7,1,6] => [6,1,7,4,5,2,3] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => [6,4,7,2,5,3,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,1,4,7] => [7,4,1,6,5,2,3] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,1,7,4] => [4,7,1,6,5,2,3] => [4,1,7,2,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,5,6,4,1,7] => [7,1,4,6,5,2,3] => [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)
[3,2,5,6,4,7,1] => [1,7,4,6,5,2,3] => [4,7,2,5,6,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,1,4] => [4,1,7,6,5,2,3] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[3,2,5,6,7,4,1] => [1,4,7,6,5,2,3] => [4,2,5,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,4,6] => [6,4,1,7,5,2,3] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,6,4] => [4,6,1,7,5,2,3] => [4,1,6,2,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,5,7,4,1,6] => [6,1,4,7,5,2,3] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,7,4,6,1] => [1,6,4,7,5,2,3] => [4,6,2,5,7,3,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,1,4] => [4,1,6,7,5,2,3] => [6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,4,1] => [1,4,6,7,5,2,3] => [6,4,2,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,5,7] => [7,5,4,1,6,2,3] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,1,4,7,5] => [5,7,4,1,6,2,3] => [5,1,4,7,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,4,7] => [7,4,5,1,6,2,3] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,6,1,5,7,4] => [4,7,5,1,6,2,3] => [4,1,5,7,2,6,3] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,1,7,4,5] => [5,4,7,1,6,2,3] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,2,6,1,7,5,4] => [4,5,7,1,6,2,3] => [5,4,1,7,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,5,7] => [7,5,1,4,6,2,3] => [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)
[3,2,6,4,1,7,5] => [5,7,1,4,6,2,3] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,5,1,7] => [7,1,5,4,6,2,3] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,7,1] => [1,7,5,4,6,2,3] => [4,5,7,2,6,3,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,7,1,5] => [5,1,7,4,6,2,3] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,6,4,7,5,1] => [1,5,7,4,6,2,3] => [5,4,7,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,4,7] => [7,4,1,5,6,2,3] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,7,4] => [4,7,1,5,6,2,3] => [4,1,7,5,2,6,3] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,6,5,4,1,7] => [7,1,4,5,6,2,3] => [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)
[3,2,6,5,4,7,1] => [1,7,4,5,6,2,3] => [4,7,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,7,1,4] => [4,1,7,5,6,2,3] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,5,7,4,1] => [1,4,7,5,6,2,3] => [5,7,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,1,4,5] => [5,4,1,7,6,2,3] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,7,1,5,4] => [4,5,1,7,6,2,3] => [4,1,5,2,6,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,2,6,7,4,1,5] => [5,1,4,7,6,2,3] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,7,4,5,1] => [1,5,4,7,6,2,3] => [4,5,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,1,4] => [4,1,5,7,6,2,3] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,4,1] => [1,4,5,7,6,2,3] => [5,4,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,5,6] => [6,5,4,1,7,2,3] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,4,6,5] => [5,6,4,1,7,2,3] => [5,1,4,6,2,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,2,7,1,5,4,6] => [6,4,5,1,7,2,3] => [4,6,1,5,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,1,5,6,4] => [4,6,5,1,7,2,3] => [4,1,5,6,2,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,6,4,5] => [5,4,6,1,7,2,3] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,7,1,6,5,4] => [4,5,6,1,7,2,3] => [5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,7,4,1,5,6] => [6,5,1,4,7,2,3] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,1,6,5] => [5,6,1,4,7,2,3] => [5,1,6,4,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,1,6] => [6,1,5,4,7,2,3] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,4,5,6,1] => [1,6,5,4,7,2,3] => [4,5,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,4,6,1,5] => [5,1,6,4,7,2,3] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,6,5,1] => [1,5,6,4,7,2,3] => [5,4,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,5,1,4,6] => [6,4,1,5,7,2,3] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,1,6,4] => [4,6,1,5,7,2,3] => [4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,7,5,4,1,6] => [6,1,4,5,7,2,3] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,4,6,1] => [1,6,4,5,7,2,3] => [4,6,5,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,5,6,1,4] => [4,1,6,5,7,2,3] => [5,6,1,4,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,2,7,5,6,4,1] => [1,4,6,5,7,2,3] => [5,6,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,4,5] => [5,4,1,6,7,2,3] => [6,1,4,5,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,5,4] => [4,5,1,6,7,2,3] => [6,4,1,5,2,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,1,5] => [5,1,4,6,7,2,3] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,4,5,1] => [1,5,4,6,7,2,3] => [6,4,5,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,5,1,4] => [4,1,5,6,7,2,3] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,5,4,1] => [1,4,5,6,7,2,3] => [6,5,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,5,7,6] => [6,7,5,2,1,4,3] => [6,1,2,5,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,1,2,6,5,7] => [7,5,6,2,1,4,3] => [5,7,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,6,7,5] => [5,7,6,2,1,4,3] => [5,1,2,6,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,2,7,5,6] => [6,5,7,2,1,4,3] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,2,7,6,5] => [5,6,7,2,1,4,3] => [6,5,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,5,2,6,7] => [7,6,2,5,1,4,3] => [2,6,7,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,5,2,7,6] => [6,7,2,5,1,4,3] => [6,2,7,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,4,1,5,6,2,7] => [7,2,6,5,1,4,3] => [2,7,1,5,6,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,1,5,6,7,2] => [2,7,6,5,1,4,3] => [2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,7,2,6] => [6,2,7,5,1,4,3] => [2,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,1,5,7,6,2] => [2,6,7,5,1,4,3] => [6,2,1,5,7,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,2,5,7] => [7,5,2,6,1,4,3] => [2,5,7,1,6,3,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,2,7,5] => [5,7,2,6,1,4,3] => [5,2,7,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,2,7] => [7,2,5,6,1,4,3] => [2,7,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,5,7,2] => [2,7,5,6,1,4,3] => [5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,7,2,5] => [5,2,7,6,1,4,3] => [2,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,1,6,7,5,2] => [2,5,7,6,1,4,3] => [5,2,1,6,7,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,1,7,2,5,6] => [6,5,2,7,1,4,3] => [2,5,6,1,7,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,4,1,7,2,6,5] => [5,6,2,7,1,4,3] => [5,2,6,1,7,3,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,4,1,7,5,2,6] => [6,2,5,7,1,4,3] => [2,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,5,6,2] => [2,6,5,7,1,4,3] => [5,6,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,7,6,2,5] => [5,2,6,7,1,4,3] => [6,2,5,1,7,3,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,6,5,2] => [2,5,6,7,1,4,3] => [6,5,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [1,5,6,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,5,7,6] => [6,7,5,1,2,4,3] => [6,1,5,7,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,5,7] => [7,5,6,1,2,4,3] => [5,7,1,6,3,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,2,1,6,7,5] => [5,7,6,1,2,4,3] => [5,1,6,7,3,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,7,5,6] => [6,5,7,1,2,4,3] => [5,6,1,7,3,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,1,7,6,5] => [5,6,7,1,2,4,3] => [6,5,1,7,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,1,7,6] => [6,7,1,5,2,4,3] => [6,1,7,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [2,5,6,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,5,7,1,6] => [6,1,7,5,2,4,3] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,5,7,6,1] => [1,6,7,5,2,4,3] => [6,2,5,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,5,7] => [7,5,1,6,2,4,3] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,1,7,5] => [5,7,1,6,2,4,3] => [5,1,7,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,6,5,1,7] => [7,1,5,6,2,4,3] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,7,1] => [1,7,5,6,2,4,3] => [5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,6,7,1,5] => [5,1,7,6,2,4,3] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,6,7,5,1] => [1,5,7,6,2,4,3] => [5,2,6,7,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,1,5,6] => [6,5,1,7,2,4,3] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,1,6,5] => [5,6,1,7,2,4,3] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,2,7,5,1,6] => [6,1,5,7,2,4,3] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,5,6,1] => [1,6,5,7,2,4,3] => [5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,2,7,6,1,5] => [5,1,6,7,2,4,3] => [6,1,5,2,7,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,6,5,1] => [1,5,6,7,2,4,3] => [6,5,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,2,7,6] => [6,7,2,1,5,4,3] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,2,7] => [7,2,6,1,5,4,3] => [2,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,1,6,7,2] => [2,7,6,1,5,4,3] => [2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,7,2,6] => [6,2,7,1,5,4,3] => [2,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[3,4,5,1,7,6,2] => [2,6,7,1,5,4,3] => [6,2,1,7,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [1,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,2,1,7,6] => [6,7,1,2,5,4,3] => [6,1,7,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [2,6,7,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,2,7,1,6] => [6,1,7,2,5,4,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => [6,2,7,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,7,2] => [2,7,1,6,5,4,3] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [2,7,3,4,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => [3,4,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [3,4,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,1,2,6] => [6,2,1,7,5,4,3] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7)
[3,4,5,7,1,6,2] => [2,6,1,7,5,4,3] => [2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,1,6] => [6,1,2,7,5,4,3] => [1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,2,6,1] => [1,6,2,7,5,4,3] => [2,6,3,4,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,7,6,1,2] => [2,1,6,7,5,4,3] => [6,3,4,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,7,6,2,1] => [1,2,6,7,5,4,3] => [6,3,4,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,5,7] => [7,5,2,1,6,4,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,6,1,2,7,5] => [5,7,2,1,6,4,3] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,5,2,7] => [7,2,5,1,6,4,3] => [2,7,1,5,3,4,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,6,1,5,7,2] => [2,7,5,1,6,4,3] => [2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,7,2,5] => [5,2,7,1,6,4,3] => [2,5,1,7,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[3,4,6,1,7,5,2] => [2,5,7,1,6,4,3] => [5,2,1,7,3,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,2,1,5,7] => [7,5,1,2,6,4,3] => [1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5] => [5,7,1,2,6,4,3] => [5,1,7,3,4,6,2] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,6,2,5,1,7] => [7,1,5,2,6,4,3] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,7,1] => [1,7,5,2,6,4,3] => [2,5,7,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5] => [5,1,7,2,6,4,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,2,7,5,1] => [1,5,7,2,6,4,3] => [5,2,7,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,6,5,1,2,7] => [7,2,1,5,6,4,3] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,7,2] => [2,7,1,5,6,4,3] => [2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,1,7] => [7,1,2,5,6,4,3] => [1,7,5,3,4,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1] => [1,7,2,5,6,4,3] => [2,7,5,3,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2] => [2,1,7,5,6,4,3] => [5,7,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,6,5,7,2,1] => [1,2,7,5,6,4,3] => [5,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,1,2,5] => [5,2,1,7,6,4,3] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7)
[3,4,6,7,1,5,2] => [2,5,1,7,6,4,3] => [2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[3,4,6,7,2,1,5] => [5,1,2,7,6,4,3] => [1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,2,5,1] => [1,5,2,7,6,4,3] => [2,5,3,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,1,2] => [2,1,5,7,6,4,3] => [5,3,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => [5,3,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,5,6] => [6,5,2,1,7,4,3] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,2,6,5] => [5,6,2,1,7,4,3] => [5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,5,2,6] => [6,2,5,1,7,4,3] => [2,6,1,5,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,1,5,6,2] => [2,6,5,1,7,4,3] => [2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,6,2,5] => [5,2,6,1,7,4,3] => [2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,4,7,1,6,5,2] => [2,5,6,1,7,4,3] => [5,2,1,6,3,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,7,2,1,5,6] => [6,5,1,2,7,4,3] => [1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,2,1,6,5] => [5,6,1,2,7,4,3] => [5,1,6,3,4,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6] => [6,1,5,2,7,4,3] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,6,1] => [1,6,5,2,7,4,3] => [2,5,6,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,4,7,2,6,1,5] => [5,1,6,2,7,4,3] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,6,5,1] => [1,5,6,2,7,4,3] => [5,2,6,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6] => [6,2,1,5,7,4,3] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,1,6,2] => [2,6,1,5,7,4,3] => [2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,2,1,6] => [6,1,2,5,7,4,3] => [1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,2,6,1] => [1,6,2,5,7,4,3] => [2,6,5,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,5,6,1,2] => [2,1,6,5,7,4,3] => [5,6,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,5,6,2,1] => [1,2,6,5,7,4,3] => [5,6,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,1,2,5] => [5,2,1,6,7,4,3] => [6,1,2,5,3,4,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,1,5,2] => [2,5,1,6,7,4,3] => [6,2,1,5,3,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,2,1,5] => [5,1,2,6,7,4,3] => [6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,2,5,1] => [1,5,2,6,7,4,3] => [6,2,5,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,6,5,1,2] => [2,1,5,6,7,4,3] => [6,5,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => [6,5,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,4,6,7] => [7,6,4,2,1,5,3] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,2,4,7,6] => [6,7,4,2,1,5,3] => [6,1,2,4,7,3,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,4,7] => [7,4,6,2,1,5,3] => [4,7,1,2,6,3,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,7,4] => [4,7,6,2,1,5,3] => [4,1,2,6,7,3,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[3,5,1,2,7,4,6] => [6,4,7,2,1,5,3] => [4,6,1,2,7,3,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,2,7,6,4] => [4,6,7,2,1,5,3] => [6,4,1,2,7,3,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,5,1,4,2,6,7] => [7,6,2,4,1,5,3] => [2,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,2,7,6] => [6,7,2,4,1,5,3] => [6,2,7,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,2,7] => [7,2,6,4,1,5,3] => [2,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,6,7,2] => [2,7,6,4,1,5,3] => [2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,7,2,6] => [6,2,7,4,1,5,3] => [2,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,4,7,6,2] => [2,6,7,4,1,5,3] => [6,2,1,4,7,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,1,6,2,4,7] => [7,4,2,6,1,5,3] => [2,4,7,1,6,3,5] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,6,2,7,4] => [4,7,2,6,1,5,3] => [4,2,7,1,6,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[3,5,1,6,4,2,7] => [7,2,4,6,1,5,3] => [2,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,6,4,7,2] => [2,7,4,6,1,5,3] => [4,7,2,1,6,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,2,4] => [4,2,7,6,1,5,3] => [2,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,5,1,6,7,4,2] => [2,4,7,6,1,5,3] => [4,2,1,6,7,3,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[3,5,1,7,2,4,6] => [6,4,2,7,1,5,3] => [2,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,1,7,2,6,4] => [4,6,2,7,1,5,3] => [4,2,6,1,7,3,5] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,7,4,2,6] => [6,2,4,7,1,5,3] => [2,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,7,4,6,2] => [2,6,4,7,1,5,3] => [4,6,2,1,7,3,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,7,6,2,4] => [4,2,6,7,1,5,3] => [6,2,4,1,7,3,5] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,4,2] => [2,4,6,7,1,5,3] => [6,4,2,1,7,3,5] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,6,7] => [7,6,4,1,2,5,3] => [1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,7,6] => [6,7,4,1,2,5,3] => [6,1,4,7,3,5,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,4,7] => [7,4,6,1,2,5,3] => [4,7,1,6,3,5,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,7,4] => [4,7,6,1,2,5,3] => [4,1,6,7,3,5,2] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,4,6] => [6,4,7,1,2,5,3] => [4,6,1,7,3,5,2] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,6,4] => [4,6,7,1,2,5,3] => [6,4,1,7,3,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,6,7] => [7,6,1,4,2,5,3] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,1,7,6] => [6,7,1,4,2,5,3] => [6,1,7,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,6,1,7] => [7,1,6,4,2,5,3] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,7,1] => [1,7,6,4,2,5,3] => [2,4,6,7,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,1,6] => [6,1,7,4,2,5,3] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,2,4,7,6,1] => [1,6,7,4,2,5,3] => [6,2,4,7,3,5,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,4,7] => [7,4,1,6,2,5,3] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,7,4] => [4,7,1,6,2,5,3] => [4,1,7,2,6,3,5] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[3,5,2,6,4,1,7] => [7,1,4,6,2,5,3] => [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)
[3,5,2,6,4,7,1] => [1,7,4,6,2,5,3] => [4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,7,1,4] => [4,1,7,6,2,5,3] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,5,2,6,7,4,1] => [1,4,7,6,2,5,3] => [4,2,6,7,3,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,1,4,6] => [6,4,1,7,2,5,3] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,5,2,7,1,6,4] => [4,6,1,7,2,5,3] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[3,5,2,7,4,1,6] => [6,1,4,7,2,5,3] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,4,6,1] => [1,6,4,7,2,5,3] => [4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,6,1,4] => [4,1,6,7,2,5,3] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,6,4,1] => [1,4,6,7,2,5,3] => [6,4,2,7,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,6,7] => [7,6,2,1,4,5,3] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,2,7,6] => [6,7,2,1,4,5,3] => [6,1,2,7,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,6,2,7] => [7,2,6,1,4,5,3] => [2,7,1,6,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,6,7,2] => [2,7,6,1,4,5,3] => [2,1,6,7,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,2,6] => [6,2,7,1,4,5,3] => [2,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,1,7,6,2] => [2,6,7,1,4,5,3] => [6,2,1,7,4,3,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,6,7] => [7,6,1,2,4,5,3] => [1,6,7,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,2,1,7,6] => [6,7,1,2,4,5,3] => [6,1,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,5,4,2,6,1,7] => [7,1,6,2,4,5,3] => [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)
[3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => [2,6,7,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,2,7,1,6] => [6,1,7,2,4,5,3] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => [6,2,7,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,6,1,2,7] => [7,2,1,6,4,5,3] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,7,2] => [2,7,1,6,4,5,3] => [2,1,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,1,7] => [7,1,2,6,4,5,3] => [1,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,7,1] => [1,7,2,6,4,5,3] => [2,7,4,6,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,1,2] => [2,1,7,6,4,5,3] => [4,6,7,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,6,7,2,1] => [1,2,7,6,4,5,3] => [4,6,7,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,2,6] => [6,2,1,7,4,5,3] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,6,2] => [2,6,1,7,4,5,3] => [2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,1,6] => [6,1,2,7,4,5,3] => [1,6,4,7,3,5,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,6,1] => [1,6,2,7,4,5,3] => [2,6,4,7,3,5,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,6,1,2] => [2,1,6,7,4,5,3] => [6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => [6,4,7,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,2,4,7] => [7,4,2,1,6,5,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,5,6,1,2,7,4] => [4,7,2,1,6,5,3] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[3,5,6,1,4,2,7] => [7,2,4,1,6,5,3] => [2,7,1,4,3,5,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,4,7,2] => [2,7,4,1,6,5,3] => [2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[3,5,6,1,7,2,4] => [4,2,7,1,6,5,3] => [2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[3,5,6,1,7,4,2] => [2,4,7,1,6,5,3] => [4,2,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[3,5,6,2,1,4,7] => [7,4,1,2,6,5,3] => [1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4] => [4,7,1,2,6,5,3] => [4,1,7,3,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,6,2,4,1,7] => [7,1,4,2,6,5,3] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,7,1] => [1,7,4,2,6,5,3] => [2,4,7,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4] => [4,1,7,2,6,5,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,6,2,7,4,1] => [1,4,7,2,6,5,3] => [4,2,7,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,2,7] => [7,2,1,4,6,5,3] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,7,2] => [2,7,1,4,6,5,3] => [2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,1,7] => [7,1,2,4,6,5,3] => [1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,7,1] => [1,7,2,4,6,5,3] => [2,7,4,3,5,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2] => [2,1,7,4,6,5,3] => [4,7,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => [4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4] => [4,2,1,7,6,5,3] => [1,2,4,3,5,6,7] => ([(5,6)],7)
[3,5,6,7,1,4,2] => [2,4,1,7,6,5,3] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7)
[3,5,6,7,2,1,4] => [4,1,2,7,6,5,3] => [1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,2,4,1] => [1,4,2,7,6,5,3] => [2,4,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,4,1,2] => [2,1,4,7,6,5,3] => [4,3,5,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => [4,3,5,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,4,6] => [6,4,2,1,7,5,3] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7)
[3,5,7,1,2,6,4] => [4,6,2,1,7,5,3] => [4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,5,7,1,4,2,6] => [6,2,4,1,7,5,3] => [2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,7,1,4,6,2] => [2,6,4,1,7,5,3] => [2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[3,5,7,1,6,2,4] => [4,2,6,1,7,5,3] => [2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[3,5,7,1,6,4,2] => [2,4,6,1,7,5,3] => [4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,5,7,2,1,4,6] => [6,4,1,2,7,5,3] => [1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4] => [4,6,1,2,7,5,3] => [4,1,6,3,5,7,2] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,2,4,1,6] => [6,1,4,2,7,5,3] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,6,1] => [1,6,4,2,7,5,3] => [2,4,6,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4] => [4,1,6,2,7,5,3] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[3,5,7,2,6,4,1] => [1,4,6,2,7,5,3] => [4,2,6,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,7,4,1,2,6] => [6,2,1,4,7,5,3] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,1,6,2] => [2,6,1,4,7,5,3] => [2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,2,1,6] => [6,1,2,4,7,5,3] => [1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,2,6,1] => [1,6,2,4,7,5,3] => [2,6,4,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,1,2] => [2,1,6,4,7,5,3] => [4,6,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,6,2,1] => [1,2,6,4,7,5,3] => [4,6,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,2,4] => [4,2,1,6,7,5,3] => [6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,4,2] => [2,4,1,6,7,5,3] => [6,2,1,4,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,7,6,2,1,4] => [4,1,2,6,7,5,3] => [6,1,4,3,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,2,4,1] => [1,4,2,6,7,5,3] => [6,2,4,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,4,1,2] => [2,1,4,6,7,5,3] => [6,4,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => [6,4,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,5,7] => [7,5,4,2,1,6,3] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,6,1,2,4,7,5] => [5,7,4,2,1,6,3] => [5,1,2,4,7,3,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,2,5,4,7] => [7,4,5,2,1,6,3] => [4,7,1,2,5,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,1,2,5,7,4] => [4,7,5,2,1,6,3] => [4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[3,6,1,2,7,4,5] => [5,4,7,2,1,6,3] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[3,6,1,2,7,5,4] => [4,5,7,2,1,6,3] => [5,4,1,2,7,3,6] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,5,7] => [7,5,2,4,1,6,3] => [2,5,7,1,4,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,1,4,2,7,5] => [5,7,2,4,1,6,3] => [5,2,7,1,4,3,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,4,5,2,7] => [7,2,5,4,1,6,3] => [2,7,1,4,5,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,4,5,7,2] => [2,7,5,4,1,6,3] => [2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[3,6,1,4,7,2,5] => [5,2,7,4,1,6,3] => [2,5,1,4,7,3,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[3,6,1,4,7,5,2] => [2,5,7,4,1,6,3] => [5,2,1,4,7,3,6] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,1,5,2,4,7] => [7,4,2,5,1,6,3] => [2,4,7,1,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,5,2,7,4] => [4,7,2,5,1,6,3] => [4,2,7,1,5,3,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,5,4,2,7] => [7,2,4,5,1,6,3] => [2,7,4,1,5,3,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,5,4,7,2] => [2,7,4,5,1,6,3] => [4,7,2,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,1,5,7,2,4] => [4,2,7,5,1,6,3] => [2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[3,6,1,5,7,4,2] => [2,4,7,5,1,6,3] => [4,2,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[3,6,1,7,2,4,5] => [5,4,2,7,1,6,3] => [2,4,5,1,7,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[3,6,1,7,2,5,4] => [4,5,2,7,1,6,3] => [4,2,5,1,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[3,6,1,7,4,2,5] => [5,2,4,7,1,6,3] => [2,5,4,1,7,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,7,4,5,2] => [2,5,4,7,1,6,3] => [4,5,2,1,7,3,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,7,5,2,4] => [4,2,5,7,1,6,3] => [5,2,4,1,7,3,6] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,7,5,4,2] => [2,4,5,7,1,6,3] => [5,4,2,1,7,3,6] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,5,7] => [7,5,4,1,2,6,3] => [1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,7,5] => [5,7,4,1,2,6,3] => [5,1,4,7,3,6,2] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,4,7] => [7,4,5,1,2,6,3] => [4,7,1,5,3,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,7,4] => [4,7,5,1,2,6,3] => [4,1,5,7,3,6,2] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,4,5] => [5,4,7,1,2,6,3] => [4,5,1,7,3,6,2] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,5,4] => [4,5,7,1,2,6,3] => [5,4,1,7,3,6,2] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,5,7] => [7,5,1,4,2,6,3] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,1,7,5] => [5,7,1,4,2,6,3] => [5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,5,1,7] => [7,1,5,4,2,6,3] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,7,1] => [1,7,5,4,2,6,3] => [2,4,5,7,3,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,1,5] => [5,1,7,4,2,6,3] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,5,1] => [1,5,7,4,2,6,3] => [5,2,4,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,4,7] => [7,4,1,5,2,6,3] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,7,4] => [4,7,1,5,2,6,3] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,2,5,4,1,7] => [7,1,4,5,2,6,3] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,4,7,1] => [1,7,4,5,2,6,3] => [4,7,2,5,3,6,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,1,4] => [4,1,7,5,2,6,3] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[3,6,2,5,7,4,1] => [1,4,7,5,2,6,3] => [4,2,5,7,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,4,5] => [5,4,1,7,2,6,3] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[3,6,2,7,1,5,4] => [4,5,1,7,2,6,3] => [4,1,5,2,7,3,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,6,2,7,4,1,5] => [5,1,4,7,2,6,3] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,5,1] => [1,5,4,7,2,6,3] => [4,5,2,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,1,4] => [4,1,5,7,2,6,3] => [5,1,4,2,7,3,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,4,1] => [1,4,5,7,2,6,3] => [5,4,2,7,3,6,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,5,7] => [7,5,2,1,4,6,3] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,7,5] => [5,7,2,1,4,6,3] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,2,7] => [7,2,5,1,4,6,3] => [2,7,1,5,4,3,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,7,2] => [2,7,5,1,4,6,3] => [2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,7,2,5] => [5,2,7,1,4,6,3] => [2,5,1,7,4,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,1,7,5,2] => [2,5,7,1,4,6,3] => [5,2,1,7,4,3,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,2,1,5,7] => [7,5,1,2,4,6,3] => [1,5,7,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,7,5] => [5,7,1,2,4,6,3] => [5,1,7,4,3,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,2,5,1,7] => [7,1,5,2,4,6,3] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,7,1] => [1,7,5,2,4,6,3] => [2,5,7,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,1,5] => [5,1,7,2,4,6,3] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,2,7,5,1] => [1,5,7,2,4,6,3] => [5,2,7,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,5,1,2,7] => [7,2,1,5,4,6,3] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,7,2] => [2,7,1,5,4,6,3] => [2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,1,7] => [7,1,2,5,4,6,3] => [1,7,4,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,7,1] => [1,7,2,5,4,6,3] => [2,7,4,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2] => [2,1,7,5,4,6,3] => [4,5,7,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,5,7,2,1] => [1,2,7,5,4,6,3] => [4,5,7,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,1,2,5] => [5,2,1,7,4,6,3] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,4,7,1,5,2] => [2,5,1,7,4,6,3] => [2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,2,1,5] => [5,1,2,7,4,6,3] => [1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,2,5,1] => [1,5,2,7,4,6,3] => [2,5,4,7,3,6,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,7,5,1,2] => [2,1,5,7,4,6,3] => [5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,2,1] => [1,2,5,7,4,6,3] => [5,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,4,7] => [7,4,2,1,5,6,3] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,7,4] => [4,7,2,1,5,6,3] => [4,1,2,7,5,3,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,1,4,2,7] => [7,2,4,1,5,6,3] => [2,7,5,1,4,3,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,7,2] => [2,7,4,1,5,6,3] => [2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,5,1,7,2,4] => [4,2,7,1,5,6,3] => [2,4,1,7,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[3,6,5,1,7,4,2] => [2,4,7,1,5,6,3] => [4,2,1,7,5,3,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,5,2,1,4,7] => [7,4,1,2,5,6,3] => [1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4] => [4,7,1,2,5,6,3] => [4,1,7,5,3,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,1,7] => [7,1,4,2,5,6,3] => [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)
[3,6,5,2,4,7,1] => [1,7,4,2,5,6,3] => [2,4,7,5,3,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4] => [4,1,7,2,5,6,3] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,4,1] => [1,4,7,2,5,6,3] => [4,2,7,5,3,6,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,2,7] => [7,2,1,4,5,6,3] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,7,2] => [2,7,1,4,5,6,3] => [2,1,7,5,4,3,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,1,7] => [7,1,2,4,5,6,3] => [1,7,5,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => [2,7,5,4,3,6,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,1,2] => [2,1,7,4,5,6,3] => [4,7,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => [4,7,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,7,1,2,4] => [4,2,1,7,5,6,3] => [5,7,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,1,4,2] => [2,4,1,7,5,6,3] => [5,7,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,2,1,4] => [4,1,2,7,5,6,3] => [5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[3,6,5,7,2,4,1] => [1,4,2,7,5,6,3] => [5,7,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,7,4,1,2] => [2,1,4,7,5,6,3] => [5,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => [5,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,2,4,5] => [5,4,2,1,7,6,3] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7)
[3,6,7,1,2,5,4] => [4,5,2,1,7,6,3] => [4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,6,7,1,4,2,5] => [5,2,4,1,7,6,3] => [2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,7,1,4,5,2] => [2,5,4,1,7,6,3] => [2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7)
[3,6,7,1,5,2,4] => [4,2,5,1,7,6,3] => [2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[3,6,7,1,5,4,2] => [2,4,5,1,7,6,3] => [4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,7,2,1,4,5] => [5,4,1,2,7,6,3] => [1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,1,5,4] => [4,5,1,2,7,6,3] => [4,1,5,3,6,7,2] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,1,5] => [5,1,4,2,7,6,3] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,5,1] => [1,5,4,2,7,6,3] => [2,4,5,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4] => [4,1,5,2,7,6,3] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7)
[3,6,7,2,5,4,1] => [1,4,5,2,7,6,3] => [4,2,5,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,5,2] => [2,5,1,4,7,6,3] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[3,6,7,4,2,1,5] => [5,1,2,4,7,6,3] => [1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,2,5,1] => [1,5,2,4,7,6,3] => [2,5,4,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,1,2] => [2,1,5,4,7,6,3] => [4,5,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,5,2,1] => [1,2,5,4,7,6,3] => [4,5,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,2,4] => [4,2,1,5,7,6,3] => [5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,4,2] => [2,4,1,5,7,6,3] => [5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,6,7,5,2,1,4] => [4,1,2,5,7,6,3] => [5,1,4,3,6,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,2,4,1] => [1,4,2,5,7,6,3] => [5,2,4,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,1,2] => [2,1,4,5,7,6,3] => [5,4,3,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => [5,4,3,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,5,6] => [6,5,4,2,1,7,3] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7)
[3,7,1,2,4,6,5] => [5,6,4,2,1,7,3] => [5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,2,5,4,6] => [6,4,5,2,1,7,3] => [4,6,1,2,5,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[3,7,1,2,5,6,4] => [4,6,5,2,1,7,3] => [4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,1,2,6,4,5] => [5,4,6,2,1,7,3] => [4,5,1,2,6,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,1,2,6,5,4] => [4,5,6,2,1,7,3] => [5,4,1,2,6,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,5,6] => [6,5,2,4,1,7,3] => [2,5,6,1,4,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,1,4,2,6,5] => [5,6,2,4,1,7,3] => [5,2,6,1,4,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,7,1,4,5,2,6] => [6,2,5,4,1,7,3] => [2,6,1,4,5,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,4,5,6,2] => [2,6,5,4,1,7,3] => [2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[3,7,1,4,6,2,5] => [5,2,6,4,1,7,3] => [2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,5,2] => [2,5,6,4,1,7,3] => [5,2,1,4,6,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,4,6] => [6,4,2,5,1,7,3] => [2,4,6,1,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,2,6,4] => [4,6,2,5,1,7,3] => [4,2,6,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[3,7,1,5,4,2,6] => [6,2,4,5,1,7,3] => [2,6,4,1,5,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,5,4,6,2] => [2,6,4,5,1,7,3] => [4,6,2,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,7,1,5,6,2,4] => [4,2,6,5,1,7,3] => [2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[3,7,1,5,6,4,2] => [2,4,6,5,1,7,3] => [4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,7,1,6,2,4,5] => [5,4,2,6,1,7,3] => [2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,2,5,4] => [4,5,2,6,1,7,3] => [4,2,5,1,6,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,4,2,5] => [5,2,4,6,1,7,3] => [2,5,4,1,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,4,5,2] => [2,5,4,6,1,7,3] => [4,5,2,1,6,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,1,6,5,2,4] => [4,2,5,6,1,7,3] => [5,2,4,1,6,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,6,5,4,2] => [2,4,5,6,1,7,3] => [5,4,2,1,6,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,5,6] => [6,5,4,1,2,7,3] => [1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,6,5] => [5,6,4,1,2,7,3] => [5,1,4,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,4,6] => [6,4,5,1,2,7,3] => [4,6,1,5,3,7,2] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,6,4] => [4,6,5,1,2,7,3] => [4,1,5,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,4,5] => [5,4,6,1,2,7,3] => [4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,5,4] => [4,5,6,1,2,7,3] => [5,4,1,6,3,7,2] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,5,6] => [6,5,1,4,2,7,3] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,1,6,5] => [5,6,1,4,2,7,3] => [5,1,6,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,5,1,6] => [6,1,5,4,2,7,3] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,6,1] => [1,6,5,4,2,7,3] => [2,4,5,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,5,1] => [1,5,6,4,2,7,3] => [5,2,4,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,4,6] => [6,4,1,5,2,7,3] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,6,4] => [4,6,1,5,2,7,3] => [4,1,6,2,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,5,4,1,6] => [6,1,4,5,2,7,3] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,6,1] => [1,6,4,5,2,7,3] => [4,6,2,5,3,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,1,4] => [4,1,6,5,2,7,3] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[3,7,2,5,6,4,1] => [1,4,6,5,2,7,3] => [4,2,5,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,1,4,5] => [5,4,1,6,2,7,3] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,6,1,5,4] => [4,5,1,6,2,7,3] => [4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,6,4,1,5] => [5,1,4,6,2,7,3] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,6,4,5,1] => [1,5,4,6,2,7,3] => [4,5,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,1,4] => [4,1,5,6,2,7,3] => [5,1,4,2,6,3,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,6,5,4,1] => [1,4,5,6,2,7,3] => [5,4,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,2,5,6] => [6,5,2,1,4,7,3] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,2,6,5] => [5,6,2,1,4,7,3] => [5,1,2,6,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,4,1,5,2,6] => [6,2,5,1,4,7,3] => [2,6,1,5,4,3,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,5,6,2] => [2,6,5,1,4,7,3] => [2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,2,5] => [5,2,6,1,4,7,3] => [2,5,1,6,4,3,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,5,2] => [2,5,6,1,4,7,3] => [5,2,1,6,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,5,6] => [6,5,1,2,4,7,3] => [1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,6,5] => [5,6,1,2,4,7,3] => [5,1,6,4,3,7,2] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,1,6] => [6,1,5,2,4,7,3] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,6,1] => [1,6,5,2,4,7,3] => [2,5,6,4,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,1,5] => [5,1,6,2,4,7,3] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,4,2,6,5,1] => [1,5,6,2,4,7,3] => [5,2,6,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,1,2,6] => [6,2,1,5,4,7,3] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,1,6,2] => [2,6,1,5,4,7,3] => [2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,2,1,6] => [6,1,2,5,4,7,3] => [1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,2,6,1] => [1,6,2,5,4,7,3] => [2,6,4,5,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,5,6,1,2] => [2,1,6,5,4,7,3] => [4,5,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,6,2,1] => [1,2,6,5,4,7,3] => [4,5,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,1,2,5] => [5,2,1,6,4,7,3] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,1,5,2] => [2,5,1,6,4,7,3] => [2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,2,1,5] => [5,1,2,6,4,7,3] => [1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,2,5,1] => [1,5,2,6,4,7,3] => [2,5,4,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,1,2] => [2,1,5,6,4,7,3] => [5,4,6,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,5,2,1] => [1,2,5,6,4,7,3] => [5,4,6,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,4,6] => [6,4,2,1,5,7,3] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,6,4] => [4,6,2,1,5,7,3] => [4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,7,5,1,4,2,6] => [6,2,4,1,5,7,3] => [2,6,5,1,4,3,7] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,4,6,2] => [2,6,4,1,5,7,3] => [2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,2,4] => [4,2,6,1,5,7,3] => [2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[3,7,5,1,6,4,2] => [2,4,6,1,5,7,3] => [4,2,1,6,5,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[3,7,5,2,1,4,6] => [6,4,1,2,5,7,3] => [1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4] => [4,6,1,2,5,7,3] => [4,1,6,5,3,7,2] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,1,6] => [6,1,4,2,5,7,3] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1] => [1,6,4,2,5,7,3] => [2,4,6,5,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4] => [4,1,6,2,5,7,3] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,7,5,2,6,4,1] => [1,4,6,2,5,7,3] => [4,2,6,5,3,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,1,2,6] => [6,2,1,4,5,7,3] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,1,6,2] => [2,6,1,4,5,7,3] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,2,1,6] => [6,1,2,4,5,7,3] => [1,6,5,4,3,7,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,2,6,1] => [1,6,2,4,5,7,3] => [2,6,5,4,3,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,1,2] => [2,1,6,4,5,7,3] => [4,6,5,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,6,2,1] => [1,2,6,4,5,7,3] => [4,6,5,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4] => [4,2,1,6,5,7,3] => [5,6,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,6,1,4,2] => [2,4,1,6,5,7,3] => [5,6,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,6,2,1,4] => [4,1,2,6,5,7,3] => [5,6,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,6,2,4,1] => [1,4,2,6,5,7,3] => [5,6,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,5,6,4,1,2] => [2,1,4,6,5,7,3] => [5,6,4,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,6,4,2,1] => [1,2,4,6,5,7,3] => [5,6,4,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,4,5] => [5,4,2,1,6,7,3] => [6,1,2,4,5,3,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,5,4] => [4,5,2,1,6,7,3] => [6,4,1,2,5,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,2,5] => [5,2,4,1,6,7,3] => [6,2,5,1,4,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,4,5,2] => [2,5,4,1,6,7,3] => [6,2,1,4,5,3,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,2,4] => [4,2,5,1,6,7,3] => [6,2,4,1,5,3,7] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,6,1,5,4,2] => [2,4,5,1,6,7,3] => [6,4,2,1,5,3,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,4,5] => [5,4,1,2,6,7,3] => [6,1,4,5,3,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4] => [4,5,1,2,6,7,3] => [6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,1,5] => [5,1,4,2,6,7,3] => [6,1,5,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,5,1] => [1,5,4,2,6,7,3] => [6,2,4,5,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4] => [4,1,5,2,6,7,3] => [6,1,4,2,5,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,4,1] => [1,4,5,2,6,7,3] => [6,4,2,5,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5] => [5,2,1,4,6,7,3] => [6,1,2,5,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,1,5,2] => [2,5,1,4,6,7,3] => [6,2,1,5,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,2,1,5] => [5,1,2,4,6,7,3] => [6,1,5,4,3,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,2,5,1] => [1,5,2,4,6,7,3] => [6,2,5,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,4,5,1,2] => [2,1,5,4,6,7,3] => [6,4,5,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,5,2,1] => [1,2,5,4,6,7,3] => [6,4,5,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,2,4] => [4,2,1,5,6,7,3] => [6,5,1,2,4,3,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,1,4,2] => [2,4,1,5,6,7,3] => [6,5,2,1,4,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,2,1,4] => [4,1,2,5,6,7,3] => [6,5,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,2,4,1] => [1,4,2,5,6,7,3] => [6,5,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,5,4,1,2] => [2,1,4,5,6,7,3] => [6,5,4,3,7,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => [6,5,4,3,7,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,7,6] => [6,7,5,3,2,1,4] => [6,1,2,3,5,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,2,3,6,5,7] => [7,5,6,3,2,1,4] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[4,1,2,3,6,7,5] => [5,7,6,3,2,1,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,1,2,3,7,5,6] => [6,5,7,3,2,1,4] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,3,7,6,5] => [5,6,7,3,2,1,4] => [6,5,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,3,6,7] => [7,6,3,5,2,1,4] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,3,7,6] => [6,7,3,5,2,1,4] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,5,6,3,7] => [7,3,6,5,2,1,4] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,6,7,3] => [3,7,6,5,2,1,4] => [3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,1,2,5,7,3,6] => [6,3,7,5,2,1,4] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,7,6,3] => [3,6,7,5,2,1,4] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,2,6,3,5,7] => [7,5,3,6,2,1,4] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[4,1,2,6,3,7,5] => [5,7,3,6,2,1,4] => [5,3,7,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,3,7] => [7,3,5,6,2,1,4] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,5,7,3] => [3,7,5,6,2,1,4] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,2,6,7,3,5] => [5,3,7,6,2,1,4] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,1,2,6,7,5,3] => [3,5,7,6,2,1,4] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,7,3,5,6] => [6,5,3,7,2,1,4] => [3,5,6,1,2,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,2,7,3,6,5] => [5,6,3,7,2,1,4] => [5,3,6,1,2,7,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,2,7,5,3,6] => [6,3,5,7,2,1,4] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,6,3] => [3,6,5,7,2,1,4] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,2,7,6,3,5] => [5,3,6,7,2,1,4] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,6,5,3] => [3,5,6,7,2,1,4] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,5,6,7] => [7,6,5,2,3,1,4] => [2,5,6,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,3,2,5,7,6] => [6,7,5,2,3,1,4] => [6,2,5,7,4,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,5,7] => [7,5,6,2,3,1,4] => [5,7,2,6,4,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,7,5] => [5,7,6,2,3,1,4] => [5,2,6,7,4,1,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,5,6] => [6,5,7,2,3,1,4] => [5,6,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,6,5] => [5,6,7,2,3,1,4] => [6,5,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,2,6,7] => [7,6,2,5,3,1,4] => [2,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,2,7,6] => [6,7,2,5,3,1,4] => [6,2,7,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,6,2,7] => [7,2,6,5,3,1,4] => [2,7,1,3,5,6,4] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,3,5,6,7,2] => [2,7,6,5,3,1,4] => [2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,3,5,7,2,6] => [6,2,7,5,3,1,4] => [2,6,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,6,2] => [2,6,7,5,3,1,4] => [6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,2,5,7] => [7,5,2,6,3,1,4] => [2,5,7,1,3,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,3,6,2,7,5] => [5,7,2,6,3,1,4] => [5,2,7,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,5,2,7] => [7,2,5,6,3,1,4] => [2,7,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,7,2] => [2,7,5,6,3,1,4] => [5,7,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,6,7,2,5] => [5,2,7,6,3,1,4] => [2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[4,1,3,6,7,5,2] => [2,5,7,6,3,1,4] => [5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,2,5,6] => [6,5,2,7,3,1,4] => [2,5,6,1,3,7,4] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,2,6,5] => [5,6,2,7,3,1,4] => [5,2,6,1,3,7,4] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,3,7,5,2,6] => [6,2,5,7,3,1,4] => [2,6,5,1,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,5,6,2] => [2,6,5,7,3,1,4] => [5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,7,6,2,5] => [5,2,6,7,3,1,4] => [6,2,5,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,5,2] => [2,5,6,7,3,1,4] => [6,5,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,3,6,7] => [7,6,3,2,5,1,4] => [2,3,6,7,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,2,3,7,6] => [6,7,3,2,5,1,4] => [6,2,3,7,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,5,2,6,3,7] => [7,3,6,2,5,1,4] => [3,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,6,7,3] => [3,7,6,2,5,1,4] => [3,2,6,7,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,5,2,7,3,6] => [6,3,7,2,5,1,4] => [3,6,2,7,1,5,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,5,2,7,6,3] => [3,6,7,2,5,1,4] => [6,3,2,7,1,5,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,2,6,7] => [7,6,2,3,5,1,4] => [2,6,7,3,1,5,4] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,3,2,7,6] => [6,7,2,3,5,1,4] => [6,2,7,3,1,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,5,3,6,2,7] => [7,2,6,3,5,1,4] => [2,7,3,6,1,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,6,7,2] => [2,7,6,3,5,1,4] => [3,6,7,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,7,2,6] => [6,2,7,3,5,1,4] => [2,6,3,7,1,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,1,5,3,7,6,2] => [2,6,7,3,5,1,4] => [6,3,7,2,1,5,4] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,5,6,2,3,7] => [7,3,2,6,5,1,4] => [2,3,7,1,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,6,2,7,3] => [3,7,2,6,5,1,4] => [3,2,7,1,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,6,3,2,7] => [7,2,3,6,5,1,4] => [2,7,3,1,5,6,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,6,3,7,2] => [2,7,3,6,5,1,4] => [3,7,2,1,5,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,2,3] => [3,2,7,6,5,1,4] => [2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,1,5,6,7,3,2] => [2,3,7,6,5,1,4] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,1,5,7,2,3,6] => [6,3,2,7,5,1,4] => [2,3,6,1,5,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,7,2,6,3] => [3,6,2,7,5,1,4] => [3,2,6,1,5,7,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,5,7,3,2,6] => [6,2,3,7,5,1,4] => [2,6,3,1,5,7,4] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,5,7,3,6,2] => [2,6,3,7,5,1,4] => [3,6,2,1,5,7,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,7,6,2,3] => [3,2,6,7,5,1,4] => [6,2,3,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,7,6,3,2] => [2,3,6,7,5,1,4] => [6,3,2,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,6,2,3,5,7] => [7,5,3,2,6,1,4] => [2,3,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,1,6,2,3,7,5] => [5,7,3,2,6,1,4] => [5,2,3,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,6,2,5,3,7] => [7,3,5,2,6,1,4] => [3,7,2,5,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,5,7,3] => [3,7,5,2,6,1,4] => [3,2,5,7,1,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,1,6,2,7,3,5] => [5,3,7,2,6,1,4] => [3,5,2,7,1,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[4,1,6,2,7,5,3] => [3,5,7,2,6,1,4] => [5,3,2,7,1,6,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,6,3,2,5,7] => [7,5,2,3,6,1,4] => [2,5,7,3,1,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,6,3,2,7,5] => [5,7,2,3,6,1,4] => [5,2,7,3,1,6,4] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,5,2,7] => [7,2,5,3,6,1,4] => [2,7,3,5,1,6,4] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,5,7,2] => [2,7,5,3,6,1,4] => [3,5,7,2,1,6,4] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,1,6,3,7,2,5] => [5,2,7,3,6,1,4] => [2,5,3,7,1,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,6,3,7,5,2] => [2,5,7,3,6,1,4] => [5,3,7,2,1,6,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,3,7] => [7,3,2,5,6,1,4] => [2,3,7,5,1,6,4] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,5,2,7,3] => [3,7,2,5,6,1,4] => [3,2,7,5,1,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,3,2,7] => [7,2,3,5,6,1,4] => [2,7,5,3,1,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,3,7,2] => [2,7,3,5,6,1,4] => [3,7,5,2,1,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,5,7,2,3] => [3,2,7,5,6,1,4] => [5,7,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,6,5,7,3,2] => [2,3,7,5,6,1,4] => [5,7,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,7,2,3,5] => [5,3,2,7,6,1,4] => [2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
[4,1,6,7,2,5,3] => [3,5,2,7,6,1,4] => [3,2,5,1,6,7,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[4,1,6,7,3,2,5] => [5,2,3,7,6,1,4] => [2,5,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,7,3,5,2] => [2,5,3,7,6,1,4] => [3,5,2,1,6,7,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[4,1,6,7,5,2,3] => [3,2,5,7,6,1,4] => [5,2,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,7,5,3,2] => [2,3,5,7,6,1,4] => [5,3,2,1,6,7,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,7,2,3,5,6] => [6,5,3,2,7,1,4] => [2,3,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,3,6,5] => [5,6,3,2,7,1,4] => [5,2,3,6,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,7,2,5,3,6] => [6,3,5,2,7,1,4] => [3,6,2,5,1,7,4] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,2,5,6,3] => [3,6,5,2,7,1,4] => [3,2,5,6,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,2,6,3,5] => [5,3,6,2,7,1,4] => [3,5,2,6,1,7,4] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[4,1,7,2,6,5,3] => [3,5,6,2,7,1,4] => [5,3,2,6,1,7,4] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,2,5,6] => [6,5,2,3,7,1,4] => [2,5,6,3,1,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,3,2,6,5] => [5,6,2,3,7,1,4] => [5,2,6,3,1,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,3,5,2,6] => [6,2,5,3,7,1,4] => [2,6,3,5,1,7,4] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,6,2] => [2,6,5,3,7,1,4] => [3,5,6,2,1,7,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,1,7,3,6,2,5] => [5,2,6,3,7,1,4] => [2,5,3,6,1,7,4] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,1,7,3,6,5,2] => [2,5,6,3,7,1,4] => [5,3,6,2,1,7,4] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,3,6] => [6,3,2,5,7,1,4] => [2,3,6,5,1,7,4] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,6,3] => [3,6,2,5,7,1,4] => [3,2,6,5,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,5,3,2,6] => [6,2,3,5,7,1,4] => [2,6,5,3,1,7,4] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,7,5,3,6,2] => [2,6,3,5,7,1,4] => [3,6,5,2,1,7,4] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,6,2,3] => [3,2,6,5,7,1,4] => [5,6,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,7,5,6,3,2] => [2,3,6,5,7,1,4] => [5,6,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,7,6,2,3,5] => [5,3,2,6,7,1,4] => [6,2,3,5,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,6,2,5,3] => [3,5,2,6,7,1,4] => [6,3,2,5,1,7,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,6,3,2,5] => [5,2,3,6,7,1,4] => [6,2,5,3,1,7,4] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,5,2] => [2,5,3,6,7,1,4] => [6,3,5,2,1,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,5,2,3] => [3,2,5,6,7,1,4] => [6,5,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,5,3,2] => [2,3,5,6,7,1,4] => [6,5,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => [1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,7,6] => [6,7,5,3,1,2,4] => [6,1,3,5,7,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,5,7] => [7,5,6,3,1,2,4] => [5,7,1,3,6,4,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,3,6,7,5] => [5,7,6,3,1,2,4] => [5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,5,6] => [6,5,7,3,1,2,4] => [5,6,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,1,3,7,6,5] => [5,6,7,3,1,2,4] => [6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,3,6,7] => [7,6,3,5,1,2,4] => [3,6,7,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,1,5,3,7,6] => [6,7,3,5,1,2,4] => [6,3,7,1,5,4,2] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,1,5,6,3,7] => [7,3,6,5,1,2,4] => [3,7,1,5,6,4,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,6,7,3] => [3,7,6,5,1,2,4] => [3,1,5,6,7,4,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,1,5,7,3,6] => [6,3,7,5,1,2,4] => [3,6,1,5,7,4,2] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,7,6,3] => [3,6,7,5,1,2,4] => [6,3,1,5,7,4,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,3,5,7] => [7,5,3,6,1,2,4] => [3,5,7,1,6,4,2] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,1,6,3,7,5] => [5,7,3,6,1,2,4] => [5,3,7,1,6,4,2] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,5,3,7] => [7,3,5,6,1,2,4] => [3,7,5,1,6,4,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,5,7,3] => [3,7,5,6,1,2,4] => [5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,7,3,5] => [5,3,7,6,1,2,4] => [3,5,1,6,7,4,2] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,2,1,6,7,5,3] => [3,5,7,6,1,2,4] => [5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,3,5,6] => [6,5,3,7,1,2,4] => [3,5,6,1,7,4,2] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,2,1,7,3,6,5] => [5,6,3,7,1,2,4] => [5,3,6,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,5,3,6] => [6,3,5,7,1,2,4] => [3,6,5,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,5,6,3] => [3,6,5,7,1,2,4] => [5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,6,3,5] => [5,3,6,7,1,2,4] => [6,3,5,1,7,4,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,6,5,3] => [3,5,6,7,1,2,4] => [6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,1,5,7,6] => [6,7,5,1,3,2,4] => [6,1,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,5,7] => [7,5,6,1,3,2,4] => [5,7,1,6,4,2,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,3,1,6,7,5] => [5,7,6,1,3,2,4] => [5,1,6,7,4,2,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,7,5,6] => [6,5,7,1,3,2,4] => [5,6,1,7,4,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,3,1,7,6,5] => [5,6,7,1,3,2,4] => [6,5,1,7,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,5,1,7,6] => [6,7,1,5,3,2,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => [2,3,5,6,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,1,6] => [6,1,7,5,3,2,4] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,6,1] => [1,6,7,5,3,2,4] => [6,2,3,5,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,5,7] => [7,5,1,6,3,2,4] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[4,2,3,6,1,7,5] => [5,7,1,6,3,2,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,2,3,6,5,1,7] => [7,1,5,6,3,2,4] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,7,1] => [1,7,5,6,3,2,4] => [5,7,2,3,6,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,7,1,5] => [5,1,7,6,3,2,4] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[4,2,3,6,7,5,1] => [1,5,7,6,3,2,4] => [5,2,3,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,5,6] => [6,5,1,7,3,2,4] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,3,7,1,6,5] => [5,6,1,7,3,2,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,5,1,6] => [6,1,5,7,3,2,4] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,5,6,1] => [1,6,5,7,3,2,4] => [5,6,2,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,6,1,5] => [5,1,6,7,3,2,4] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,6,5,1] => [1,5,6,7,3,2,4] => [6,5,2,3,7,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,3,6,7] => [7,6,3,1,5,2,4] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,5,1,3,7,6] => [6,7,3,1,5,2,4] => [6,1,3,7,2,5,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,5,1,6,3,7] => [7,3,6,1,5,2,4] => [3,7,1,6,2,5,4] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,7,3] => [3,7,6,1,5,2,4] => [3,1,6,7,2,5,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,5,1,7,3,6] => [6,3,7,1,5,2,4] => [3,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,5,1,7,6,3] => [3,6,7,1,5,2,4] => [6,3,1,7,2,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,1,6,7] => [7,6,1,3,5,2,4] => [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)
[4,2,5,3,1,7,6] => [6,7,1,3,5,2,4] => [6,1,7,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,3,6,1,7] => [7,1,6,3,5,2,4] => [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)
[4,2,5,3,6,7,1] => [1,7,6,3,5,2,4] => [3,6,7,2,5,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,1,6] => [6,1,7,3,5,2,4] => [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)
[4,2,5,3,7,6,1] => [1,6,7,3,5,2,4] => [6,3,7,2,5,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,1,3,7] => [7,3,1,6,5,2,4] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,1,7,3] => [3,7,1,6,5,2,4] => [3,1,7,2,5,6,4] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,2,5,6,3,1,7] => [7,1,3,6,5,2,4] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,3,7,1] => [1,7,3,6,5,2,4] => [3,7,2,5,6,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,7,1,3] => [3,1,7,6,5,2,4] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,2,5,6,7,3,1] => [1,3,7,6,5,2,4] => [3,2,5,6,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,3,6] => [6,3,1,7,5,2,4] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,6,3] => [3,6,1,7,5,2,4] => [3,1,6,2,5,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[4,2,5,7,3,1,6] => [6,1,3,7,5,2,4] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,3,6,1] => [1,6,3,7,5,2,4] => [3,6,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,1,3] => [3,1,6,7,5,2,4] => [6,1,3,2,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,3,1] => [1,3,6,7,5,2,4] => [6,3,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,5,7] => [7,5,3,1,6,2,4] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,1,3,7,5] => [5,7,3,1,6,2,4] => [5,1,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,6,1,5,3,7] => [7,3,5,1,6,2,4] => [3,7,1,5,2,6,4] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,5,7,3] => [3,7,5,1,6,2,4] => [3,1,5,7,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[4,2,6,1,7,3,5] => [5,3,7,1,6,2,4] => [3,5,1,7,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,6,1,7,5,3] => [3,5,7,1,6,2,4] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[4,2,6,3,1,5,7] => [7,5,1,3,6,2,4] => [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)
[4,2,6,3,1,7,5] => [5,7,1,3,6,2,4] => [5,1,7,3,2,6,4] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,3,5,1,7] => [7,1,5,3,6,2,4] => [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)
[4,2,6,3,5,7,1] => [1,7,5,3,6,2,4] => [3,5,7,2,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,3,7,1,5] => [5,1,7,3,6,2,4] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,3,7,5,1] => [1,5,7,3,6,2,4] => [5,3,7,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,1,3,7] => [7,3,1,5,6,2,4] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,1,7,3] => [3,7,1,5,6,2,4] => [3,1,7,5,2,6,4] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,6,5,3,1,7] => [7,1,3,5,6,2,4] => [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)
[4,2,6,5,3,7,1] => [1,7,3,5,6,2,4] => [3,7,5,2,6,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,7,1,3] => [3,1,7,5,6,2,4] => [5,7,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,7,3,1] => [1,3,7,5,6,2,4] => [5,7,3,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,1,3,5] => [5,3,1,7,6,2,4] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,2,6,7,1,5,3] => [3,5,1,7,6,2,4] => [3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,2,6,7,3,1,5] => [5,1,3,7,6,2,4] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,6,7,3,5,1] => [1,5,3,7,6,2,4] => [3,5,2,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,1,3] => [3,1,5,7,6,2,4] => [5,1,3,2,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,6,7,5,3,1] => [1,3,5,7,6,2,4] => [5,3,2,6,7,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,5,6] => [6,5,3,1,7,2,4] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,1,3,6,5] => [5,6,3,1,7,2,4] => [5,1,3,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,7,1,5,3,6] => [6,3,5,1,7,2,4] => [3,6,1,5,2,7,4] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,1,5,6,3] => [3,6,5,1,7,2,4] => [3,1,5,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[4,2,7,1,6,3,5] => [5,3,6,1,7,2,4] => [3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,7,1,6,5,3] => [3,5,6,1,7,2,4] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,7,3,1,5,6] => [6,5,1,3,7,2,4] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,7,3,1,6,5] => [5,6,1,3,7,2,4] => [5,1,6,3,2,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,7,3,5,1,6] => [6,1,5,3,7,2,4] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,3,5,6,1] => [1,6,5,3,7,2,4] => [3,5,6,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,3,6,1,5] => [5,1,6,3,7,2,4] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,3,6,5,1] => [1,5,6,3,7,2,4] => [5,3,6,2,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,5,1,3,6] => [6,3,1,5,7,2,4] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,1,6,3] => [3,6,1,5,7,2,4] => [3,1,6,5,2,7,4] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,3,1,6] => [6,1,3,5,7,2,4] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,3,6,1] => [1,6,3,5,7,2,4] => [3,6,5,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,5,6,1,3] => [3,1,6,5,7,2,4] => [5,6,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,6,3,1] => [1,3,6,5,7,2,4] => [5,6,3,2,7,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,1,3,5] => [5,3,1,6,7,2,4] => [6,1,3,5,2,7,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,6,1,5,3] => [3,5,1,6,7,2,4] => [6,3,1,5,2,7,4] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,6,3,1,5] => [5,1,3,6,7,2,4] => [6,1,5,3,2,7,4] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,3,5,1] => [1,5,3,6,7,2,4] => [6,3,5,2,7,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,1,3] => [3,1,5,6,7,2,4] => [6,5,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,3,1] => [1,3,5,6,7,2,4] => [6,5,3,2,7,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,7,6] => [6,7,5,2,1,3,4] => [6,1,2,5,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,5,7] => [7,5,6,2,1,3,4] => [5,7,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,2,6,7,5] => [5,7,6,2,1,3,4] => [5,1,2,6,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,2,7,5,6] => [6,5,7,2,1,3,4] => [5,6,1,2,7,4,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,2,7,6,5] => [5,6,7,2,1,3,4] => [6,5,1,2,7,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,2,6,7] => [7,6,2,5,1,3,4] => [2,6,7,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,2,7,6] => [6,7,2,5,1,3,4] => [6,2,7,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,6,2,7] => [7,2,6,5,1,3,4] => [2,7,1,5,6,4,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,6,7,2] => [2,7,6,5,1,3,4] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,2,6] => [6,2,7,5,1,3,4] => [2,6,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,6,2] => [2,6,7,5,1,3,4] => [6,2,1,5,7,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,5,7] => [7,5,2,6,1,3,4] => [2,5,7,1,6,4,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,7,5] => [5,7,2,6,1,3,4] => [5,2,7,1,6,4,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,6,5,2,7] => [7,2,5,6,1,3,4] => [2,7,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,5,7,2] => [2,7,5,6,1,3,4] => [5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,1,6,7,2,5] => [5,2,7,6,1,3,4] => [2,5,1,6,7,4,3] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,3,1,6,7,5,2] => [2,5,7,6,1,3,4] => [5,2,1,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,2,5,6] => [6,5,2,7,1,3,4] => [2,5,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,3,1,7,2,6,5] => [5,6,2,7,1,3,4] => [5,2,6,1,7,4,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,3,1,7,5,2,6] => [6,2,5,7,1,3,4] => [2,6,5,1,7,4,3] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,5,6,2] => [2,6,5,7,1,3,4] => [5,6,2,1,7,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,6,2,5] => [5,2,6,7,1,3,4] => [6,2,5,1,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,6,5,2] => [2,5,6,7,1,3,4] => [6,5,2,1,7,4,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [1,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,7,6] => [6,7,5,1,2,3,4] => [6,1,5,7,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,5,7] => [7,5,6,1,2,3,4] => [5,7,1,6,4,3,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,7,5] => [5,7,6,1,2,3,4] => [5,1,6,7,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,5,6] => [6,5,7,1,2,3,4] => [5,6,1,7,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,6,5] => [5,6,7,1,2,3,4] => [6,5,1,7,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [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)
[4,3,2,5,1,7,6] => [6,7,1,5,2,3,4] => [6,1,7,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [2,5,6,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,1,6] => [6,1,7,5,2,3,4] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,6,1] => [1,6,7,5,2,3,4] => [6,2,5,7,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,5,7] => [7,5,1,6,2,3,4] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,7,5] => [5,7,1,6,2,3,4] => [5,1,7,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,6,5,1,7] => [7,1,5,6,2,3,4] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => [5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,7,1,5] => [5,1,7,6,2,3,4] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => [5,2,6,7,4,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,5,6] => [6,5,1,7,2,3,4] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,6,5] => [5,6,1,7,2,3,4] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,2,7,5,1,6] => [6,1,5,7,2,3,4] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,5,6,1] => [1,6,5,7,2,3,4] => [5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,6,1,5] => [5,1,6,7,2,3,4] => [6,1,5,2,7,4,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => [6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,2,7,6] => [6,7,2,1,5,3,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,6,2,7] => [7,2,6,1,5,3,4] => [2,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,6,7,2] => [2,7,6,1,5,3,4] => [2,1,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,2,6] => [6,2,7,1,5,3,4] => [2,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,1,7,6,2] => [2,6,7,1,5,3,4] => [6,2,1,7,3,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [1,6,7,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,2,1,7,6] => [6,7,1,2,5,3,4] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [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)
[4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [2,6,7,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,2,7,1,6] => [6,1,7,2,5,3,4] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,2,7,6,1] => [1,6,7,2,5,3,4] => [6,2,7,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,7,2] => [2,7,1,6,5,3,4] => [2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [1,7,3,5,6,4,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [2,7,3,5,6,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => [3,5,6,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [3,5,6,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,2,6] => [6,2,1,7,5,3,4] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,6,2] => [2,6,1,7,5,3,4] => [2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,5,7,2,1,6] => [6,1,2,7,5,3,4] => [1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,2,6,1] => [1,6,2,7,5,3,4] => [2,6,3,5,7,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,1,2] => [2,1,6,7,5,3,4] => [6,3,5,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => [6,3,5,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,5,7] => [7,5,2,1,6,3,4] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,7,5] => [5,7,2,1,6,3,4] => [5,1,2,7,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[4,3,6,1,5,2,7] => [7,2,5,1,6,3,4] => [2,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,5,7,2] => [2,7,5,1,6,3,4] => [2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,1,7,2,5] => [5,2,7,1,6,3,4] => [2,5,1,7,3,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[4,3,6,1,7,5,2] => [2,5,7,1,6,3,4] => [5,2,1,7,3,6,4] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,3,6,2,1,5,7] => [7,5,1,2,6,3,4] => [1,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,1,7,5] => [5,7,1,2,6,3,4] => [5,1,7,3,6,4,2] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,2,5,1,7] => [7,1,5,2,6,3,4] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,7,1] => [1,7,5,2,6,3,4] => [2,5,7,3,6,4,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,1,5] => [5,1,7,2,6,3,4] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,2,7,5,1] => [1,5,7,2,6,3,4] => [5,2,7,3,6,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,5,1,2,7] => [7,2,1,5,6,3,4] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,7,2] => [2,7,1,5,6,3,4] => [2,1,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,1,7] => [7,1,2,5,6,3,4] => [1,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1] => [1,7,2,5,6,3,4] => [2,7,5,3,6,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2] => [2,1,7,5,6,3,4] => [5,7,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => [5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,1,2,5] => [5,2,1,7,6,3,4] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7)
[4,3,6,7,1,5,2] => [2,5,1,7,6,3,4] => [2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[4,3,6,7,2,1,5] => [5,1,2,7,6,3,4] => [1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,2,5,1] => [1,5,2,7,6,3,4] => [2,5,3,6,7,4,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2] => [2,1,5,7,6,3,4] => [5,3,6,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => [5,3,6,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,5,6] => [6,5,2,1,7,3,4] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,1,2,6,5] => [5,6,2,1,7,3,4] => [5,1,2,6,3,7,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,7,1,5,2,6] => [6,2,5,1,7,3,4] => [2,6,1,5,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,5,6,2] => [2,6,5,1,7,3,4] => [2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,1,6,2,5] => [5,2,6,1,7,3,4] => [2,5,1,6,3,7,4] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[4,3,7,1,6,5,2] => [2,5,6,1,7,3,4] => [5,2,1,6,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[4,3,7,2,1,5,6] => [6,5,1,2,7,3,4] => [1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,6,5] => [5,6,1,2,7,3,4] => [5,1,6,3,7,4,2] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,1,6] => [6,1,5,2,7,3,4] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,6,1] => [1,6,5,2,7,3,4] => [2,5,6,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,6,1,5] => [5,1,6,2,7,3,4] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,2,6,5,1] => [1,5,6,2,7,3,4] => [5,2,6,3,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,1,2,6] => [6,2,1,5,7,3,4] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,7,5,1,6,2] => [2,6,1,5,7,3,4] => [2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,2,1,6] => [6,1,2,5,7,3,4] => [1,6,5,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,2,6,1] => [1,6,2,5,7,3,4] => [2,6,5,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,5,6,1,2] => [2,1,6,5,7,3,4] => [5,6,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,5,6,2,1] => [1,2,6,5,7,3,4] => [5,6,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,1,2,5] => [5,2,1,6,7,3,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,1,5,2] => [2,5,1,6,7,3,4] => [6,2,1,5,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,2,1,5] => [5,1,2,6,7,3,4] => [6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,2,5,1] => [1,5,2,6,7,3,4] => [6,2,5,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2] => [2,1,5,6,7,3,4] => [6,5,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => [6,5,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,3,7,6] => [6,7,3,2,1,5,4] => [6,1,2,3,7,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,3,7] => [7,3,6,2,1,5,4] => [3,7,1,2,6,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,6,7,3] => [3,7,6,2,1,5,4] => [3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[4,5,1,2,7,3,6] => [6,3,7,2,1,5,4] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,2,7,6,3] => [3,6,7,2,1,5,4] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,2,6,7] => [7,6,2,3,1,5,4] => [2,6,7,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,2,7,6] => [6,7,2,3,1,5,4] => [6,2,7,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,6,2,7] => [7,2,6,3,1,5,4] => [2,7,1,3,6,4,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,3,6,7,2] => [2,7,6,3,1,5,4] => [2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,3,7,2,6] => [6,2,7,3,1,5,4] => [2,6,1,3,7,4,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,6,2] => [2,6,7,3,1,5,4] => [6,2,1,3,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,6,2,3,7] => [7,3,2,6,1,5,4] => [2,3,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,6,2,7,3] => [3,7,2,6,1,5,4] => [3,2,7,1,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,1,6,3,2,7] => [7,2,3,6,1,5,4] => [2,7,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,1,6,3,7,2] => [2,7,3,6,1,5,4] => [3,7,2,1,6,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,2,3] => [3,2,7,6,1,5,4] => [2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[4,5,1,6,7,3,2] => [2,3,7,6,1,5,4] => [3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[4,5,1,7,2,3,6] => [6,3,2,7,1,5,4] => [2,3,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[4,5,1,7,2,6,3] => [3,6,2,7,1,5,4] => [3,2,6,1,7,4,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[4,5,1,7,3,2,6] => [6,2,3,7,1,5,4] => [2,6,3,1,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,3,6,2] => [2,6,3,7,1,5,4] => [3,6,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,5,1,7,6,2,3] => [3,2,6,7,1,5,4] => [6,2,3,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,6,3,2] => [2,3,6,7,1,5,4] => [6,3,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => [1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,1,3,7,6] => [6,7,3,1,2,5,4] => [6,1,3,7,4,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,6,3,7] => [7,3,6,1,2,5,4] => [3,7,1,6,4,5,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,6,7,3] => [3,7,6,1,2,5,4] => [3,1,6,7,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,1,7,3,6] => [6,3,7,1,2,5,4] => [3,6,1,7,4,5,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,7,6,3] => [3,6,7,1,2,5,4] => [6,3,1,7,4,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => [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)
[4,5,2,3,1,7,6] => [6,7,1,3,2,5,4] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => [2,3,6,7,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,3,7,1,6] => [6,1,7,3,2,5,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,2,3,7,6,1] => [1,6,7,3,2,5,4] => [6,2,3,7,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,1,3,7] => [7,3,1,6,2,5,4] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,6,1,7,3] => [3,7,1,6,2,5,4] => [3,1,7,2,6,4,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,5,2,6,3,1,7] => [7,1,3,6,2,5,4] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,3,7,1] => [1,7,3,6,2,5,4] => [3,7,2,6,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,7,1,3] => [3,1,7,6,2,5,4] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,3,1] => [1,3,7,6,2,5,4] => [3,2,6,7,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,2,7,1,3,6] => [6,3,1,7,2,5,4] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,5,2,7,1,6,3] => [3,6,1,7,2,5,4] => [3,1,6,2,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,5,2,7,3,1,6] => [6,1,3,7,2,5,4] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,7,3,6,1] => [1,6,3,7,2,5,4] => [3,6,2,7,4,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,6,1,3] => [3,1,6,7,2,5,4] => [6,1,3,2,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,7,6,3,1] => [1,3,6,7,2,5,4] => [6,3,2,7,4,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,3,1,2,7,6] => [6,7,2,1,3,5,4] => [6,1,2,7,4,5,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,6,2,7] => [7,2,6,1,3,5,4] => [2,7,1,6,4,5,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,6,7,2] => [2,7,6,1,3,5,4] => [2,1,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,3,1,7,2,6] => [6,2,7,1,3,5,4] => [2,6,1,7,4,5,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,6,2] => [2,6,7,1,3,5,4] => [6,2,1,7,4,5,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [1,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,7,6] => [6,7,1,2,3,5,4] => [6,1,7,4,5,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [2,6,7,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,1,6] => [6,1,7,2,3,5,4] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,6,1] => [1,6,7,2,3,5,4] => [6,2,7,4,5,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,7,2] => [2,7,1,6,3,5,4] => [2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [1,7,3,6,4,5,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [2,7,3,6,4,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => [3,6,7,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [3,6,7,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,1,2,6] => [6,2,1,7,3,5,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,5,3,7,1,6,2] => [2,6,1,7,3,5,4] => [2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,1,6] => [6,1,2,7,3,5,4] => [1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,2,6,1] => [1,6,2,7,3,5,4] => [2,6,3,7,4,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,6,1,2] => [2,1,6,7,3,5,4] => [6,3,7,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => [6,3,7,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,7,3] => [3,7,2,1,6,5,4] => [3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,6,1,3,2,7] => [7,2,3,1,6,5,4] => [2,7,4,5,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,5,6,1,3,7,2] => [2,7,3,1,6,5,4] => [2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,1,7,2,3] => [3,2,7,1,6,5,4] => [2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[4,5,6,1,7,3,2] => [2,3,7,1,6,5,4] => [3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => [1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,7,3] => [3,7,1,2,6,5,4] => [3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => [2,3,7,4,5,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,7,1,3] => [3,1,7,2,6,5,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,3,1] => [1,3,7,2,6,5,4] => [3,2,7,4,5,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,1,7,2] => [2,7,1,3,6,5,4] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [1,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [2,7,4,5,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => [3,7,4,5,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [3,7,4,5,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => [4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,5,6,7,1,3,2] => [2,3,1,7,6,5,4] => [4,5,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => [4,5,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => [4,5,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => [4,5,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,2,3,6] => [6,3,2,1,7,5,4] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7)
[4,5,7,1,2,6,3] => [3,6,2,1,7,5,4] => [3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[4,5,7,1,3,2,6] => [6,2,3,1,7,5,4] => [2,6,4,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,7,1,3,6,2] => [2,6,3,1,7,5,4] => [2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,5,7,1,6,2,3] => [3,2,6,1,7,5,4] => [2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[4,5,7,1,6,3,2] => [2,3,6,1,7,5,4] => [3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,5,7,2,1,3,6] => [6,3,1,2,7,5,4] => [1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,6,3] => [3,6,1,2,7,5,4] => [3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,2,3,1,6] => [6,1,3,2,7,5,4] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,7,2,3,6,1] => [1,6,3,2,7,5,4] => [2,3,6,4,5,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,6,1,3] => [3,1,6,2,7,5,4] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7)
[4,5,7,2,6,3,1] => [1,3,6,2,7,5,4] => [3,2,6,4,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,1,2,6] => [6,2,1,3,7,5,4] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,1,6,2] => [2,6,1,3,7,5,4] => [2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,2,1,6] => [6,1,2,3,7,5,4] => [1,6,4,5,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,2,6,1] => [1,6,2,3,7,5,4] => [2,6,4,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,3,6,1,2] => [2,1,6,3,7,5,4] => [3,6,4,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,7,3,6,2,1] => [1,2,6,3,7,5,4] => [3,6,4,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,6,1,2,3] => [3,2,1,6,7,5,4] => [6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,6,1,3,2] => [2,3,1,6,7,5,4] => [6,4,5,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,5,7,6,2,1,3] => [3,1,2,6,7,5,4] => [6,4,5,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,5,7,6,2,3,1] => [1,3,2,6,7,5,4] => [6,4,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,1,2] => [2,1,3,6,7,5,4] => [6,4,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => [6,4,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,5,7] => [7,5,3,2,1,6,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7)
[4,6,1,2,3,7,5] => [5,7,3,2,1,6,4] => [5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,1,2,5,3,7] => [7,3,5,2,1,6,4] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,6,1,2,5,7,3] => [3,7,5,2,1,6,4] => [3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[4,6,1,2,7,3,5] => [5,3,7,2,1,6,4] => [3,5,1,2,7,4,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,6,1,2,7,5,3] => [3,5,7,2,1,6,4] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,6,1,3,2,5,7] => [7,5,2,3,1,6,4] => [2,5,7,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,2,7,5] => [5,7,2,3,1,6,4] => [5,2,7,4,6,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,1,3,5,2,7] => [7,2,5,3,1,6,4] => [2,7,1,3,5,4,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,5,7,2] => [2,7,5,3,1,6,4] => [2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[4,6,1,3,7,2,5] => [5,2,7,3,1,6,4] => [2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[4,6,1,3,7,5,2] => [2,5,7,3,1,6,4] => [5,2,1,3,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,3,7] => [7,3,2,5,1,6,4] => [2,3,7,1,5,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,1,5,2,7,3] => [3,7,2,5,1,6,4] => [3,2,7,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,6,1,5,3,2,7] => [7,2,3,5,1,6,4] => [2,7,3,1,5,4,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,3,7,2] => [2,7,3,5,1,6,4] => [3,7,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,2,3] => [3,2,7,5,1,6,4] => [2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[4,6,1,5,7,3,2] => [2,3,7,5,1,6,4] => [3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[4,6,1,7,2,3,5] => [5,3,2,7,1,6,4] => [2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[4,6,1,7,2,5,3] => [3,5,2,7,1,6,4] => [3,2,5,1,7,4,6] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[4,6,1,7,3,2,5] => [5,2,3,7,1,6,4] => [2,5,3,1,7,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[4,6,1,7,3,5,2] => [2,5,3,7,1,6,4] => [3,5,2,1,7,4,6] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,2,3] => [3,2,5,7,1,6,4] => [5,2,3,1,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[4,6,1,7,5,3,2] => [2,3,5,7,1,6,4] => [5,3,2,1,7,4,6] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,5,7] => [7,5,3,1,2,6,4] => [1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,7,5] => [5,7,3,1,2,6,4] => [5,1,3,7,4,6,2] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,5,3,7] => [7,3,5,1,2,6,4] => [3,7,1,5,4,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,5,7,3] => [3,7,5,1,2,6,4] => [3,1,5,7,4,6,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,3,5] => [5,3,7,1,2,6,4] => [3,5,1,7,4,6,2] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,5,3] => [3,5,7,1,2,6,4] => [5,3,1,7,4,6,2] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,5,7] => [7,5,1,3,2,6,4] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,3,1,7,5] => [5,7,1,3,2,6,4] => [5,1,7,4,6,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,2,3,5,1,7] => [7,1,5,3,2,6,4] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,7,1] => [1,7,5,3,2,6,4] => [2,3,5,7,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,1,5] => [5,1,7,3,2,6,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,6,2,3,7,5,1] => [1,5,7,3,2,6,4] => [5,2,3,7,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,3,7] => [7,3,1,5,2,6,4] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,5,1,7,3] => [3,7,1,5,2,6,4] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,6,2,5,3,1,7] => [7,1,3,5,2,6,4] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,5,3,7,1] => [1,7,3,5,2,6,4] => [3,7,2,5,4,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,7,1,3] => [3,1,7,5,2,6,4] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[4,6,2,5,7,3,1] => [1,3,7,5,2,6,4] => [3,2,5,7,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,1,3,5] => [5,3,1,7,2,6,4] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[4,6,2,7,1,5,3] => [3,5,1,7,2,6,4] => [3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[4,6,2,7,3,1,5] => [5,1,3,7,2,6,4] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,6,2,7,3,5,1] => [1,5,3,7,2,6,4] => [3,5,2,7,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,2,7,5,1,3] => [3,1,5,7,2,6,4] => [5,1,3,2,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,6,2,7,5,3,1] => [1,3,5,7,2,6,4] => [5,3,2,7,4,6,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,1,2,5,7] => [7,5,2,1,3,6,4] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,7,5] => [5,7,2,1,3,6,4] => [5,1,2,7,4,6,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,1,5,2,7] => [7,2,5,1,3,6,4] => [2,7,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,7,2] => [2,7,5,1,3,6,4] => [2,1,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,2,5] => [5,2,7,1,3,6,4] => [2,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,1,7,5,2] => [2,5,7,1,3,6,4] => [5,2,1,7,4,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,5,7] => [7,5,1,2,3,6,4] => [1,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,7,5] => [5,7,1,2,3,6,4] => [5,1,7,4,6,3,2] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,1,7] => [7,1,5,2,3,6,4] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,7,1] => [1,7,5,2,3,6,4] => [2,5,7,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5] => [5,1,7,2,3,6,4] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,2,7,5,1] => [1,5,7,2,3,6,4] => [5,2,7,4,6,3,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7] => [7,2,1,5,3,6,4] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,7,2] => [2,7,1,5,3,6,4] => [2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,1,7] => [7,1,2,5,3,6,4] => [1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1] => [1,7,2,5,3,6,4] => [2,7,3,5,4,6,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2] => [2,1,7,5,3,6,4] => [3,5,7,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,5,7,2,1] => [1,2,7,5,3,6,4] => [3,5,7,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5] => [5,2,1,7,3,6,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7)
[4,6,3,7,1,5,2] => [2,5,1,7,3,6,4] => [2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[4,6,3,7,2,1,5] => [5,1,2,7,3,6,4] => [1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,7,2,5,1] => [1,5,2,7,3,6,4] => [2,5,3,7,4,6,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,3,7,5,1,2] => [2,1,5,7,3,6,4] => [5,3,7,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,5,2,1] => [1,2,5,7,3,6,4] => [5,3,7,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7] => [7,3,2,1,5,6,4] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,7,3] => [3,7,2,1,5,6,4] => [3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,2,7] => [7,2,3,1,5,6,4] => [2,7,5,4,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,6,5,1,3,7,2] => [2,7,3,1,5,6,4] => [2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,2,3] => [3,2,7,1,5,6,4] => [2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,3,2] => [2,3,7,1,5,6,4] => [3,2,1,7,5,4,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,3,7] => [7,3,1,2,5,6,4] => [1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,7,3] => [3,7,1,2,5,6,4] => [3,1,7,5,4,6,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,1,7] => [7,1,3,2,5,6,4] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,2,3,7,1] => [1,7,3,2,5,6,4] => [2,3,7,5,4,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,1,3] => [3,1,7,2,5,6,4] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,3,1] => [1,3,7,2,5,6,4] => [3,2,7,5,4,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,2,7] => [7,2,1,3,5,6,4] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,7,2] => [2,7,1,3,5,6,4] => [2,1,7,5,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,1,7] => [7,1,2,3,5,6,4] => [1,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => [2,7,5,4,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2] => [2,1,7,3,5,6,4] => [3,7,5,4,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => [3,7,5,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3] => [3,2,1,7,5,6,4] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,3,2] => [2,3,1,7,5,6,4] => [5,7,4,6,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,2,1,3] => [3,1,2,7,5,6,4] => [5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,2,3,1] => [1,3,2,7,5,6,4] => [5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,1,2] => [2,1,3,7,5,6,4] => [5,7,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => [5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,2,3,5] => [5,3,2,1,7,6,4] => [1,2,3,5,4,6,7] => ([(5,6)],7)
[4,6,7,1,2,5,3] => [3,5,2,1,7,6,4] => [3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[4,6,7,1,3,2,5] => [5,2,3,1,7,6,4] => [2,5,4,6,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,1,3,5,2] => [2,5,3,1,7,6,4] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7)
[4,6,7,1,5,2,3] => [3,2,5,1,7,6,4] => [2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7)
[4,6,7,1,5,3,2] => [2,3,5,1,7,6,4] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,3,5] => [5,3,1,2,7,6,4] => [1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,5,3] => [3,5,1,2,7,6,4] => [3,1,5,4,6,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,3,1,5] => [5,1,3,2,7,6,4] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,2,3,5,1] => [1,5,3,2,7,6,4] => [2,3,5,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,5,1,3] => [3,1,5,2,7,6,4] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7)
[4,6,7,2,5,3,1] => [1,3,5,2,7,6,4] => [3,2,5,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,7,3,1,2,5] => [5,2,1,3,7,6,4] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,1,5,2] => [2,5,1,3,7,6,4] => [2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,2,1,5] => [5,1,2,3,7,6,4] => [1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,2,5,1] => [1,5,2,3,7,6,4] => [2,5,4,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,3,5,1,2] => [2,1,5,3,7,6,4] => [3,5,4,6,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,7,3,5,2,1] => [1,2,5,3,7,6,4] => [3,5,4,6,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,2,3] => [3,2,1,5,7,6,4] => [5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,6,7,5,1,3,2] => [2,3,1,5,7,6,4] => [5,4,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,7,5,2,1,3] => [3,1,2,5,7,6,4] => [5,4,6,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[4,6,7,5,2,3,1] => [1,3,2,5,7,6,4] => [5,4,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,1,2] => [2,1,3,5,7,6,4] => [5,4,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => [5,4,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,5,6] => [6,5,3,2,1,7,4] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7)
[4,7,1,2,3,6,5] => [5,6,3,2,1,7,4] => [5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[4,7,1,2,5,3,6] => [6,3,5,2,1,7,4] => [3,6,1,2,5,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,1,2,5,6,3] => [3,6,5,2,1,7,4] => [3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[4,7,1,2,6,3,5] => [5,3,6,2,1,7,4] => [3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[4,7,1,2,6,5,3] => [3,5,6,2,1,7,4] => [5,3,1,2,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,3,2,5,6] => [6,5,2,3,1,7,4] => [2,5,6,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,2,6,5] => [5,6,2,3,1,7,4] => [5,2,6,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,5,2,6] => [6,2,5,3,1,7,4] => [2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,1,3,5,6,2] => [2,6,5,3,1,7,4] => [2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[4,7,1,3,6,2,5] => [5,2,6,3,1,7,4] => [2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[4,7,1,3,6,5,2] => [2,5,6,3,1,7,4] => [5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,1,5,2,3,6] => [6,3,2,5,1,7,4] => [2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,1,5,2,6,3] => [3,6,2,5,1,7,4] => [3,2,6,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[4,7,1,5,3,2,6] => [6,2,3,5,1,7,4] => [2,6,3,1,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,3,6,2] => [2,6,3,5,1,7,4] => [3,6,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,2,3] => [3,2,6,5,1,7,4] => [2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7)
[4,7,1,5,6,3,2] => [2,3,6,5,1,7,4] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,7,1,6,2,3,5] => [5,3,2,6,1,7,4] => [2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[4,7,1,6,2,5,3] => [3,5,2,6,1,7,4] => [3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,7,1,6,3,2,5] => [5,2,3,6,1,7,4] => [2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,5,2] => [2,5,3,6,1,7,4] => [3,5,2,1,6,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,7,1,6,5,2,3] => [3,2,5,6,1,7,4] => [5,2,3,1,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,1,6,5,3,2] => [2,3,5,6,1,7,4] => [5,3,2,1,6,4,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,3,5,6] => [6,5,3,1,2,7,4] => [1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,3,6,5] => [5,6,3,1,2,7,4] => [5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,5,3,6] => [6,3,5,1,2,7,4] => [3,6,1,5,4,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,5,6,3] => [3,6,5,1,2,7,4] => [3,1,5,6,4,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,1,6,3,5] => [5,3,6,1,2,7,4] => [3,5,1,6,4,7,2] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,5,3] => [3,5,6,1,2,7,4] => [5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,5,6] => [6,5,1,3,2,7,4] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,3,1,6,5] => [5,6,1,3,2,7,4] => [5,1,6,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,3,5,1,6] => [6,1,5,3,2,7,4] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,6,1] => [1,6,5,3,2,7,4] => [2,3,5,6,4,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,1,5] => [5,1,6,3,2,7,4] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[4,7,2,3,6,5,1] => [1,5,6,3,2,7,4] => [5,2,3,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,3,6] => [6,3,1,5,2,7,4] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,5,1,6,3] => [3,6,1,5,2,7,4] => [3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[4,7,2,5,3,1,6] => [6,1,3,5,2,7,4] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,5,3,6,1] => [1,6,3,5,2,7,4] => [3,6,2,5,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,1,3] => [3,1,6,5,2,7,4] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7)
[4,7,2,5,6,3,1] => [1,3,6,5,2,7,4] => [3,2,5,6,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,3,5] => [5,3,1,6,2,7,4] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7)
[4,7,2,6,1,5,3] => [3,5,1,6,2,7,4] => [3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[4,7,2,6,3,1,5] => [5,1,3,6,2,7,4] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,6,3,5,1] => [1,5,3,6,2,7,4] => [3,5,2,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,2,6,5,1,3] => [3,1,5,6,2,7,4] => [5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,6,5,3,1] => [1,3,5,6,2,7,4] => [5,3,2,6,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,5,6] => [6,5,2,1,3,7,4] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,6,5] => [5,6,2,1,3,7,4] => [5,1,2,6,4,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,5,2,6] => [6,2,5,1,3,7,4] => [2,6,1,5,4,7,3] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,5,6,2] => [2,6,5,1,3,7,4] => [2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,2,5] => [5,2,6,1,3,7,4] => [2,5,1,6,4,7,3] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,5,2] => [2,5,6,1,3,7,4] => [5,2,1,6,4,7,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,5,6] => [6,5,1,2,3,7,4] => [1,5,6,4,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,6,5] => [5,6,1,2,3,7,4] => [5,1,6,4,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,1,6] => [6,1,5,2,3,7,4] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,6,1] => [1,6,5,2,3,7,4] => [2,5,6,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5] => [5,1,6,2,3,7,4] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,5,1] => [1,5,6,2,3,7,4] => [5,2,6,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6] => [6,2,1,5,3,7,4] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,6,2] => [2,6,1,5,3,7,4] => [2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,1,6] => [6,1,2,5,3,7,4] => [1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,6,1] => [1,6,2,5,3,7,4] => [2,6,3,5,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2] => [2,1,6,5,3,7,4] => [3,5,6,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,5,6,2,1] => [1,2,6,5,3,7,4] => [3,5,6,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5] => [5,2,1,6,3,7,4] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7)
[4,7,3,6,1,5,2] => [2,5,1,6,3,7,4] => [2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[4,7,3,6,2,1,5] => [5,1,2,6,3,7,4] => [1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,2,5,1] => [1,5,2,6,3,7,4] => [2,5,3,6,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,6,5,1,2] => [2,1,5,6,3,7,4] => [5,3,6,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,2,1] => [1,2,5,6,3,7,4] => [5,3,6,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,3,6] => [6,3,2,1,5,7,4] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7)
[4,7,5,1,2,6,3] => [3,6,2,1,5,7,4] => [3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,7,5,1,3,2,6] => [6,2,3,1,5,7,4] => [2,6,5,4,7,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,3,6,2] => [2,6,3,1,5,7,4] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,5,1,6,2,3] => [3,2,6,1,5,7,4] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[4,7,5,1,6,3,2] => [2,3,6,1,5,7,4] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[4,7,5,2,1,3,6] => [6,3,1,2,5,7,4] => [1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,1,6,3] => [3,6,1,2,5,7,4] => [3,1,6,5,4,7,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,3,1,6] => [6,1,3,2,5,7,4] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,2,3,6,1] => [1,6,3,2,5,7,4] => [2,3,6,5,4,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,2,6,1,3] => [3,1,6,2,5,7,4] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,5,2,6,3,1] => [1,3,6,2,5,7,4] => [3,2,6,5,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,1,2,6] => [6,2,1,3,5,7,4] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,1,6,2] => [2,6,1,3,5,7,4] => [2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,2,1,6] => [6,1,2,3,5,7,4] => [1,6,5,4,7,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,2,6,1] => [1,6,2,3,5,7,4] => [2,6,5,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,3,6,1,2] => [2,1,6,3,5,7,4] => [3,6,5,4,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,3,6,2,1] => [1,2,6,3,5,7,4] => [3,6,5,4,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,5,6,1,2,3] => [3,2,1,6,5,7,4] => [5,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,6,1,3,2] => [2,3,1,6,5,7,4] => [5,6,4,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,1,3] => [3,1,2,6,5,7,4] => [5,6,4,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[4,7,5,6,2,3,1] => [1,3,2,6,5,7,4] => [5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,1,2] => [2,1,3,6,5,7,4] => [5,6,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,5,6,3,2,1] => [1,2,3,6,5,7,4] => [5,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,3,5] => [5,3,2,1,6,7,4] => [6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,2,5,3] => [3,5,2,1,6,7,4] => [6,3,1,2,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,3,2,5] => [5,2,3,1,6,7,4] => [6,2,5,4,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[4,7,6,1,3,5,2] => [2,5,3,1,6,7,4] => [6,2,1,3,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,6,1,5,2,3] => [3,2,5,1,6,7,4] => [6,2,3,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,3,2] => [2,3,5,1,6,7,4] => [6,3,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,3,5] => [5,3,1,2,6,7,4] => [6,1,3,5,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,5,3] => [3,5,1,2,6,7,4] => [6,3,1,5,4,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,3,1,5] => [5,1,3,2,6,7,4] => [6,1,5,4,7,2,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,2,3,5,1] => [1,5,3,2,6,7,4] => [6,2,3,5,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,5,1,3] => [3,1,5,2,6,7,4] => [6,1,3,2,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,6,2,5,3,1] => [1,3,5,2,6,7,4] => [6,3,2,5,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,1,2,5] => [5,2,1,3,6,7,4] => [6,1,2,5,4,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,1,5,2] => [2,5,1,3,6,7,4] => [6,2,1,5,4,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,2,1,5] => [5,1,2,3,6,7,4] => [6,1,5,4,7,3,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,2,5,1] => [1,5,2,3,6,7,4] => [6,2,5,4,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,3,5,1,2] => [2,1,5,3,6,7,4] => [6,3,5,4,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,6,3,5,2,1] => [1,2,5,3,6,7,4] => [6,3,5,4,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,1,2,3] => [3,2,1,5,6,7,4] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,1,3,2] => [2,3,1,5,6,7,4] => [6,5,4,7,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,2,1,3] => [3,1,2,5,6,7,4] => [6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,5,2,3,1] => [1,3,2,5,6,7,4] => [6,5,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,1,2] => [2,1,3,5,6,7,4] => [6,5,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => [6,5,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7)
[5,1,2,3,4,7,6] => [6,7,4,3,2,1,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,1,2,3,6,4,7] => [7,4,6,3,2,1,5] => [4,7,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,7,4] => [4,7,6,3,2,1,5] => [4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,1,2,3,7,4,6] => [6,4,7,3,2,1,5] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)
[5,1,2,3,7,6,4] => [4,6,7,3,2,1,5] => [6,4,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,4,3,6,7] => [7,6,3,4,2,1,5] => [3,6,7,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,4,3,7,6] => [6,7,3,4,2,1,5] => [6,3,7,5,1,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,3,7] => [7,3,6,4,2,1,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,2,4,6,7,3] => [3,7,6,4,2,1,5] => [3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,2,4,7,3,6] => [6,3,7,4,2,1,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,1,2,4,7,6,3] => [3,6,7,4,2,1,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,6,3,4,7] => [7,4,3,6,2,1,5] => [3,4,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,3,7,4] => [4,7,3,6,2,1,5] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,4,3,7] => [7,3,4,6,2,1,5] => [3,7,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,4,7,3] => [3,7,4,6,2,1,5] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,7,3,4] => [4,3,7,6,2,1,5] => [3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,1,2,6,7,4,3] => [3,4,7,6,2,1,5] => [4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,1,2,7,3,4,6] => [6,4,3,7,2,1,5] => [3,4,6,1,2,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[5,1,2,7,3,6,4] => [4,6,3,7,2,1,5] => [4,3,6,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,7,4,3,6] => [6,3,4,7,2,1,5] => [3,6,4,1,2,7,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,7,4,6,3] => [3,6,4,7,2,1,5] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,6,3,4] => [4,3,6,7,2,1,5] => [6,3,4,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,2,7,6,4,3] => [3,4,6,7,2,1,5] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,6,7] => [7,6,4,2,3,1,5] => [2,4,6,7,5,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,4,7,6] => [6,7,4,2,3,1,5] => [6,2,4,7,5,1,3] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,6,4,7] => [7,4,6,2,3,1,5] => [4,7,2,6,5,1,3] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,3,2,6,7,4] => [4,7,6,2,3,1,5] => [4,2,6,7,5,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,1,3,2,7,4,6] => [6,4,7,2,3,1,5] => [4,6,2,7,5,1,3] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,2,7,6,4] => [4,6,7,2,3,1,5] => [6,4,2,7,5,1,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,2,6,7] => [7,6,2,4,3,1,5] => [2,6,7,5,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,2,7,6] => [6,7,2,4,3,1,5] => [6,2,7,5,1,3,4] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,2,7] => [7,2,6,4,3,1,5] => [2,7,1,3,4,6,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,7,2] => [2,7,6,4,3,1,5] => [2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[5,1,3,4,7,2,6] => [6,2,7,4,3,1,5] => [2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,1,3,4,7,6,2] => [2,6,7,4,3,1,5] => [6,2,1,3,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,4,7] => [7,4,2,6,3,1,5] => [2,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,1,3,6,2,7,4] => [4,7,2,6,3,1,5] => [4,2,7,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,3,6,4,2,7] => [7,2,4,6,3,1,5] => [2,7,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,4,7,2] => [2,7,4,6,3,1,5] => [4,7,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,3,6,7,2,4] => [4,2,7,6,3,1,5] => [2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,1,3,6,7,4,2] => [2,4,7,6,3,1,5] => [4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,4,6] => [6,4,2,7,3,1,5] => [2,4,6,1,3,7,5] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,3,7,2,6,4] => [4,6,2,7,3,1,5] => [4,2,6,1,3,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)
[5,1,3,7,4,2,6] => [6,2,4,7,3,1,5] => [2,6,4,1,3,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,6,2] => [2,6,4,7,3,1,5] => [4,6,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,7,6,2,4] => [4,2,6,7,3,1,5] => [6,2,4,1,3,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,4,2] => [2,4,6,7,3,1,5] => [6,4,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,6,7] => [7,6,3,2,4,1,5] => [2,3,6,7,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,7,6] => [6,7,3,2,4,1,5] => [6,2,3,7,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,2,6,3,7] => [7,3,6,2,4,1,5] => [3,7,2,6,5,1,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,6,7,3] => [3,7,6,2,4,1,5] => [3,2,6,7,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,3,6] => [6,3,7,2,4,1,5] => [3,6,2,7,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,6,3] => [3,6,7,2,4,1,5] => [6,3,2,7,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,3,2,6,7] => [7,6,2,3,4,1,5] => [2,6,7,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,2,7,6] => [6,7,2,3,4,1,5] => [6,2,7,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,2,7] => [7,2,6,3,4,1,5] => [2,7,3,6,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,7,2] => [2,7,6,3,4,1,5] => [3,6,7,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,7,2,6] => [6,2,7,3,4,1,5] => [2,6,3,7,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,7,6,2] => [2,6,7,3,4,1,5] => [6,3,7,5,2,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,2,3,7] => [7,3,2,6,4,1,5] => [2,3,7,1,4,6,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,6,2,7,3] => [3,7,2,6,4,1,5] => [3,2,7,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,4,6,3,2,7] => [7,2,3,6,4,1,5] => [2,7,3,1,4,6,5] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,6,3,7,2] => [2,7,3,6,4,1,5] => [3,7,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,2,3] => [3,2,7,6,4,1,5] => [2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,4,6,7,3,2] => [2,3,7,6,4,1,5] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,4,7,2,3,6] => [6,3,2,7,4,1,5] => [2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[5,1,4,7,2,6,3] => [3,6,2,7,4,1,5] => [3,2,6,1,4,7,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[5,1,4,7,3,2,6] => [6,2,3,7,4,1,5] => [2,6,3,1,4,7,5] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,6,2] => [2,6,3,7,4,1,5] => [3,6,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,2,3] => [3,2,6,7,4,1,5] => [6,2,3,1,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,4,7,6,3,2] => [2,3,6,7,4,1,5] => [6,3,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,3,4,7] => [7,4,3,2,6,1,5] => [2,3,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,6,2,3,7,4] => [4,7,3,2,6,1,5] => [4,2,3,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,2,4,3,7] => [7,3,4,2,6,1,5] => [3,7,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,2,4,7,3] => [3,7,4,2,6,1,5] => [3,2,4,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,6,2,7,3,4] => [4,3,7,2,6,1,5] => [3,4,2,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,6,2,7,4,3] => [3,4,7,2,6,1,5] => [4,3,2,7,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,6,3,2,4,7] => [7,4,2,3,6,1,5] => [2,4,7,3,1,6,5] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,2,7,4] => [4,7,2,3,6,1,5] => [4,2,7,3,1,6,5] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,4,2,7] => [7,2,4,3,6,1,5] => [2,7,3,4,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,4,7,2] => [2,7,4,3,6,1,5] => [3,4,7,2,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,7,2,4] => [4,2,7,3,6,1,5] => [2,4,3,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,1,6,3,7,4,2] => [2,4,7,3,6,1,5] => [4,3,7,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,4,2,3,7] => [7,3,2,4,6,1,5] => [2,3,7,4,1,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,4,2,7,3] => [3,7,2,4,6,1,5] => [3,2,7,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,6,4,3,2,7] => [7,2,3,4,6,1,5] => [2,7,4,3,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,3,7,2] => [2,7,3,4,6,1,5] => [3,7,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,7,2,3] => [3,2,7,4,6,1,5] => [4,7,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,4,7,3,2] => [2,3,7,4,6,1,5] => [4,7,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,2,3,4] => [4,3,2,7,6,1,5] => [2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,1,6,7,2,4,3] => [3,4,2,7,6,1,5] => [3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,2,4] => [4,2,3,7,6,1,5] => [2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,4,2] => [2,4,3,7,6,1,5] => [3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,1,6,7,4,2,3] => [3,2,4,7,6,1,5] => [4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,1,6,7,4,3,2] => [2,3,4,7,6,1,5] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,4,6] => [6,4,3,2,7,1,5] => [2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,1,7,2,3,6,4] => [4,6,3,2,7,1,5] => [4,2,3,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,1,7,2,4,3,6] => [6,3,4,2,7,1,5] => [3,6,2,4,1,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,4,6,3] => [3,6,4,2,7,1,5] => [3,2,4,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,1,7,2,6,3,4] => [4,3,6,2,7,1,5] => [3,4,2,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,1,7,2,6,4,3] => [3,4,6,2,7,1,5] => [4,3,2,6,1,7,5] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,2,4,6] => [6,4,2,3,7,1,5] => [2,4,6,3,1,7,5] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,2,6,4] => [4,6,2,3,7,1,5] => [4,2,6,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,3,4,2,6] => [6,2,4,3,7,1,5] => [2,6,3,4,1,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,3,4,6,2] => [2,6,4,3,7,1,5] => [3,4,6,2,1,7,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,1,7,3,6,2,4] => [4,2,6,3,7,1,5] => [2,4,3,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,1,7,3,6,4,2] => [2,4,6,3,7,1,5] => [4,3,6,2,1,7,5] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,2,3,6] => [6,3,2,4,7,1,5] => [2,3,6,4,1,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,7,4,2,6,3] => [3,6,2,4,7,1,5] => [3,2,6,4,1,7,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,1,7,4,3,2,6] => [6,2,3,4,7,1,5] => [2,6,4,3,1,7,5] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,3,6,2] => [2,6,3,4,7,1,5] => [3,6,4,2,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,6,2,3] => [3,2,6,4,7,1,5] => [4,6,2,3,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,6,3,2] => [2,3,6,4,7,1,5] => [4,6,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,2,3,4] => [4,3,2,6,7,1,5] => [6,2,3,4,1,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,6,2,4,3] => [3,4,2,6,7,1,5] => [6,3,2,4,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,2,4] => [4,2,3,6,7,1,5] => [6,2,4,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,4,2] => [2,4,3,6,7,1,5] => [6,3,4,2,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,4,2,3] => [3,2,4,6,7,1,5] => [6,4,2,3,1,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,4,3,2] => [2,3,4,6,7,1,5] => [6,4,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => [1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,7,6] => [6,7,4,3,1,2,5] => [6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,3,6,4,7] => [7,4,6,3,1,2,5] => [4,7,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,3,6,7,4] => [4,7,6,3,1,2,5] => [4,1,3,6,7,5,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,3,7,4,6] => [6,4,7,3,1,2,5] => [4,6,1,3,7,5,2] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,7,6,4] => [4,6,7,3,1,2,5] => [6,4,1,3,7,5,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,3,6,7] => [7,6,3,4,1,2,5] => [3,6,7,5,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,4,3,7,6] => [6,7,3,4,1,2,5] => [6,3,7,5,1,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,6,3,7] => [7,3,6,4,1,2,5] => [3,7,1,4,6,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,6,7,3] => [3,7,6,4,1,2,5] => [3,1,4,6,7,5,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,1,4,7,3,6] => [6,3,7,4,1,2,5] => [3,6,1,4,7,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,7,6,3] => [3,6,7,4,1,2,5] => [6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,3,4,7] => [7,4,3,6,1,2,5] => [3,4,7,1,6,5,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,6,3,7,4] => [4,7,3,6,1,2,5] => [4,3,7,1,6,5,2] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,4,3,7] => [7,3,4,6,1,2,5] => [3,7,4,1,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,1,6,4,7,3] => [3,7,4,6,1,2,5] => [4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,6,7,3,4] => [4,3,7,6,1,2,5] => [3,4,1,6,7,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,7,4,3] => [3,4,7,6,1,2,5] => [4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,4,6] => [6,4,3,7,1,2,5] => [3,4,6,1,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,6,4] => [4,6,3,7,1,2,5] => [4,3,6,1,7,5,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,4,3,6] => [6,3,4,7,1,2,5] => [3,6,4,1,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,7,4,6,3] => [3,6,4,7,1,2,5] => [4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,6,3,4] => [4,3,6,7,1,2,5] => [6,3,4,1,7,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,6,4,3] => [3,4,6,7,1,2,5] => [6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,1,4,7,6] => [6,7,4,1,3,2,5] => [6,1,4,7,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,1,6,4,7] => [7,4,6,1,3,2,5] => [4,7,1,6,5,2,3] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,1,6,7,4] => [4,7,6,1,3,2,5] => [4,1,6,7,5,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,1,7,4,6] => [6,4,7,1,3,2,5] => [4,6,1,7,5,2,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,1,7,6,4] => [4,6,7,1,3,2,5] => [6,4,1,7,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,4,1,7,6] => [6,7,1,4,3,2,5] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => [2,3,4,6,7,5,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6] => [6,1,7,4,3,2,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[5,2,3,4,7,6,1] => [1,6,7,4,3,2,5] => [6,2,3,4,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,4,7] => [7,4,1,6,3,2,5] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,6,1,7,4] => [4,7,1,6,3,2,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,6,4,1,7] => [7,1,4,6,3,2,5] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,4,7,1] => [1,7,4,6,3,2,5] => [4,7,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,7,1,4] => [4,1,7,6,3,2,5] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,3,6,7,4,1] => [1,4,7,6,3,2,5] => [4,2,3,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,3,7,1,4,6] => [6,4,1,7,3,2,5] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[5,2,3,7,1,6,4] => [4,6,1,7,3,2,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)
[5,2,3,7,4,1,6] => [6,1,4,7,3,2,5] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,7,4,6,1] => [1,6,4,7,3,2,5] => [4,6,2,3,7,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,6,1,4] => [4,1,6,7,3,2,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,3,7,6,4,1] => [1,4,6,7,3,2,5] => [6,4,2,3,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,3,6,7] => [7,6,3,1,4,2,5] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,3,7,6] => [6,7,3,1,4,2,5] => [6,1,3,7,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,3,7] => [7,3,6,1,4,2,5] => [3,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,7,3] => [3,7,6,1,4,2,5] => [3,1,6,7,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,7,3,6] => [6,3,7,1,4,2,5] => [3,6,1,7,5,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,7,6,3] => [3,6,7,1,4,2,5] => [6,3,1,7,5,2,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,6,7] => [7,6,1,3,4,2,5] => [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)
[5,2,4,3,1,7,6] => [6,7,1,3,4,2,5] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,4,3,6,1,7] => [7,1,6,3,4,2,5] => [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)
[5,2,4,3,6,7,1] => [1,7,6,3,4,2,5] => [3,6,7,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,1,6] => [6,1,7,3,4,2,5] => [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)
[5,2,4,3,7,6,1] => [1,6,7,3,4,2,5] => [6,3,7,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,3,7] => [7,3,1,6,4,2,5] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,6,1,7,3] => [3,7,1,6,4,2,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,2,4,6,3,1,7] => [7,1,3,6,4,2,5] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,6,3,7,1] => [1,7,3,6,4,2,5] => [3,7,2,4,6,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3] => [3,1,7,6,4,2,5] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[5,2,4,6,7,3,1] => [1,3,7,6,4,2,5] => [3,2,4,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,1,3,6] => [6,3,1,7,4,2,5] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[5,2,4,7,1,6,3] => [3,6,1,7,4,2,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,4,7,3,1,6] => [6,1,3,7,4,2,5] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,7,3,6,1] => [1,6,3,7,4,2,5] => [3,6,2,4,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3] => [3,1,6,7,4,2,5] => [6,1,3,2,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,3,1] => [1,3,6,7,4,2,5] => [6,3,2,4,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7] => [7,4,3,1,6,2,5] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,6,1,3,7,4] => [4,7,3,1,6,2,5] => [4,1,3,7,2,6,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,6,1,4,3,7] => [7,3,4,1,6,2,5] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,6,1,4,7,3] => [3,7,4,1,6,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[5,2,6,1,7,3,4] => [4,3,7,1,6,2,5] => [3,4,1,7,2,6,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[5,2,6,1,7,4,3] => [3,4,7,1,6,2,5] => [4,3,1,7,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,2,6,3,1,4,7] => [7,4,1,3,6,2,5] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,7,4] => [4,7,1,3,6,2,5] => [4,1,7,3,2,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,3,4,1,7] => [7,1,4,3,6,2,5] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,4,7,1] => [1,7,4,3,6,2,5] => [3,4,7,2,6,5,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4] => [4,1,7,3,6,2,5] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,2,6,3,7,4,1] => [1,4,7,3,6,2,5] => [4,3,7,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,3,7] => [7,3,1,4,6,2,5] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,7,3] => [3,7,1,4,6,2,5] => [3,1,7,4,2,6,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,2,6,4,3,1,7] => [7,1,3,4,6,2,5] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,3,7,1] => [1,7,3,4,6,2,5] => [3,7,4,2,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,7,1,3] => [3,1,7,4,6,2,5] => [4,7,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,6,4,7,3,1] => [1,3,7,4,6,2,5] => [4,7,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4] => [4,3,1,7,6,2,5] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,6,7,1,4,3] => [3,4,1,7,6,2,5] => [3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,2,6,7,3,1,4] => [4,1,3,7,6,2,5] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,6,7,3,4,1] => [1,4,3,7,6,2,5] => [3,4,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,6,7,4,1,3] => [3,1,4,7,6,2,5] => [4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,3,1] => [1,3,4,7,6,2,5] => [4,3,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,7,1,3,4,6] => [6,4,3,1,7,2,5] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[5,2,7,1,3,6,4] => [4,6,3,1,7,2,5] => [4,1,3,6,2,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)
[5,2,7,1,4,3,6] => [6,3,4,1,7,2,5] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,1,4,6,3] => [3,6,4,1,7,2,5] => [3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)
[5,2,7,1,6,3,4] => [4,3,6,1,7,2,5] => [3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,2,7,1,6,4,3] => [3,4,6,1,7,2,5] => [4,3,1,6,2,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,1,4,6] => [6,4,1,3,7,2,5] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,2,7,3,1,6,4] => [4,6,1,3,7,2,5] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,4,1,6] => [6,1,4,3,7,2,5] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,3,4,6,1] => [1,6,4,3,7,2,5] => [3,4,6,2,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,1,4] => [4,1,6,3,7,2,5] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,2,7,3,6,4,1] => [1,4,6,3,7,2,5] => [4,3,6,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,4,1,3,6] => [6,3,1,4,7,2,5] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,1,6,3] => [3,6,1,4,7,2,5] => [3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)
[5,2,7,4,3,1,6] => [6,1,3,4,7,2,5] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,3,6,1] => [1,6,3,4,7,2,5] => [3,6,4,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,1,3] => [3,1,6,4,7,2,5] => [4,6,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,4,6,3,1] => [1,3,6,4,7,2,5] => [4,6,3,2,7,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,1,3,4] => [4,3,1,6,7,2,5] => [6,1,3,4,2,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,7,6,1,4,3] => [3,4,1,6,7,2,5] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,3,1,4] => [4,1,3,6,7,2,5] => [6,1,4,3,2,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,3,4,1] => [1,4,3,6,7,2,5] => [6,3,4,2,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,4,1,3] => [3,1,4,6,7,2,5] => [6,4,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,4,3,1] => [1,3,4,6,7,2,5] => [6,4,3,2,7,5,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,4,7,6] => [6,7,4,2,1,3,5] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7] => [7,4,6,2,1,3,5] => [4,7,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,2,6,7,4] => [4,7,6,2,1,3,5] => [4,1,2,6,7,5,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,2,7,4,6] => [6,4,7,2,1,3,5] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,6,4] => [4,6,7,2,1,3,5] => [6,4,1,2,7,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,2,6,7] => [7,6,2,4,1,3,5] => [2,6,7,5,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,2,7,6] => [6,7,2,4,1,3,5] => [6,2,7,5,1,4,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,4,6,2,7] => [7,2,6,4,1,3,5] => [2,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,6,7,2] => [2,7,6,4,1,3,5] => [2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,7,2,6] => [6,2,7,4,1,3,5] => [2,6,1,4,7,5,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,7,6,2] => [2,6,7,4,1,3,5] => [6,2,1,4,7,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,6,2,4,7] => [7,4,2,6,1,3,5] => [2,4,7,1,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,6,2,7,4] => [4,7,2,6,1,3,5] => [4,2,7,1,6,5,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,3,1,6,4,2,7] => [7,2,4,6,1,3,5] => [2,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,6,4,7,2] => [2,7,4,6,1,3,5] => [4,7,2,1,6,5,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,7,2,4] => [4,2,7,6,1,3,5] => [2,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,3,1,6,7,4,2] => [2,4,7,6,1,3,5] => [4,2,1,6,7,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,1,7,2,4,6] => [6,4,2,7,1,3,5] => [2,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,3,1,7,2,6,4] => [4,6,2,7,1,3,5] => [4,2,6,1,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)
[5,3,1,7,4,2,6] => [6,2,4,7,1,3,5] => [2,6,4,1,7,5,3] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,1,7,4,6,2] => [2,6,4,7,1,3,5] => [4,6,2,1,7,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,2,4] => [4,2,6,7,1,3,5] => [6,2,4,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,4,2] => [2,4,6,7,1,3,5] => [6,4,2,1,7,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => [1,4,6,7,5,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,4,7,6] => [6,7,4,1,2,3,5] => [6,1,4,7,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,4,7] => [7,4,6,1,2,3,5] => [4,7,1,6,5,3,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,7,4] => [4,7,6,1,2,3,5] => [4,1,6,7,5,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,4,6] => [6,4,7,1,2,3,5] => [4,6,1,7,5,3,2] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,6,4] => [4,6,7,1,2,3,5] => [6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,4,1,7,6] => [6,7,1,4,2,3,5] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => [2,4,6,7,5,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,1,6] => [6,1,7,4,2,3,5] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,2,4,7,6,1] => [1,6,7,4,2,3,5] => [6,2,4,7,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,4,7] => [7,4,1,6,2,3,5] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,7,4] => [4,7,1,6,2,3,5] => [4,1,7,2,6,5,3] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[5,3,2,6,4,1,7] => [7,1,4,6,2,3,5] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,4,7,1] => [1,7,4,6,2,3,5] => [4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,7,1,4] => [4,1,7,6,2,3,5] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,2,6,7,4,1] => [1,4,7,6,2,3,5] => [4,2,6,7,5,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,1,4,6] => [6,4,1,7,2,3,5] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,1,6,4] => [4,6,1,7,2,3,5] => [4,1,6,2,7,5,3] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,7,4,1,6] => [6,1,4,7,2,3,5] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,4,6,1] => [1,6,4,7,2,3,5] => [4,6,2,7,5,3,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,1,4] => [4,1,6,7,2,3,5] => [6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,4,1] => [1,4,6,7,2,3,5] => [6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,4,1,2,7,6] => [6,7,2,1,4,3,5] => [6,1,2,7,5,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,6,2,7] => [7,2,6,1,4,3,5] => [2,7,1,6,5,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,6,7,2] => [2,7,6,1,4,3,5] => [2,1,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,4,1,7,2,6] => [6,2,7,1,4,3,5] => [2,6,1,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,6,2] => [2,6,7,1,4,3,5] => [6,2,1,7,5,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => [1,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,7,6] => [6,7,1,2,4,3,5] => [6,1,7,5,3,4,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => [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)
[5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => [2,6,7,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,1,6] => [6,1,7,2,4,3,5] => [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)
[5,3,4,2,7,6,1] => [1,6,7,2,4,3,5] => [6,2,7,5,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,7,2] => [2,7,1,6,4,3,5] => [2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => [1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => [2,7,3,4,6,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => [3,4,6,7,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => [3,4,6,7,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6] => [6,2,1,7,4,3,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[5,3,4,7,1,6,2] => [2,6,1,7,4,3,5] => [2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[5,3,4,7,2,1,6] => [6,1,2,7,4,3,5] => [1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,2,6,1] => [1,6,2,7,4,3,5] => [2,6,3,4,7,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,7,6,1,2] => [2,1,6,7,4,3,5] => [6,3,4,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,4,7,6,2,1] => [1,2,6,7,4,3,5] => [6,3,4,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,4,7] => [7,4,2,1,6,3,5] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,6,1,2,7,4] => [4,7,2,1,6,3,5] => [4,1,2,7,3,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[5,3,6,1,4,2,7] => [7,2,4,1,6,3,5] => [2,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,6,1,4,7,2] => [2,7,4,1,6,3,5] => [2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,7,2,4] => [4,2,7,1,6,3,5] => [2,4,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[5,3,6,1,7,4,2] => [2,4,7,1,6,3,5] => [4,2,1,7,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[5,3,6,2,1,4,7] => [7,4,1,2,6,3,5] => [1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,7,4] => [4,7,1,2,6,3,5] => [4,1,7,3,6,5,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,2,4,1,7] => [7,1,4,2,6,3,5] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,6,2,4,7,1] => [1,7,4,2,6,3,5] => [2,4,7,3,6,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4] => [4,1,7,2,6,3,5] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,3,6,2,7,4,1] => [1,4,7,2,6,3,5] => [4,2,7,3,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,4,1,2,7] => [7,2,1,4,6,3,5] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,6,4,1,7,2] => [2,7,1,4,6,3,5] => [2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,6,4,2,1,7] => [7,1,2,4,6,3,5] => [1,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,2,7,1] => [1,7,2,4,6,3,5] => [2,7,4,3,6,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,7,1,2] => [2,1,7,4,6,3,5] => [4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1] => [1,2,7,4,6,3,5] => [4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,1,2,4] => [4,2,1,7,6,3,5] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7)
[5,3,6,7,1,4,2] => [2,4,1,7,6,3,5] => [2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7)
[5,3,6,7,2,1,4] => [4,1,2,7,6,3,5] => [1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,2,4,1] => [1,4,2,7,6,3,5] => [2,4,3,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,1,2] => [2,1,4,7,6,3,5] => [4,3,6,7,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,4,2,1] => [1,2,4,7,6,3,5] => [4,3,6,7,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,4,6] => [6,4,2,1,7,3,5] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7)
[5,3,7,1,2,6,4] => [4,6,2,1,7,3,5] => [4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)
[5,3,7,1,4,2,6] => [6,2,4,1,7,3,5] => [2,6,1,4,3,7,5] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,7,1,4,6,2] => [2,6,4,1,7,3,5] => [2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[5,3,7,1,6,2,4] => [4,2,6,1,7,3,5] => [2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[5,3,7,1,6,4,2] => [2,4,6,1,7,3,5] => [4,2,1,6,3,7,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[5,3,7,2,1,4,6] => [6,4,1,2,7,3,5] => [1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,2,1,6,4] => [4,6,1,2,7,3,5] => [4,1,6,3,7,5,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,2,4,1,6] => [6,1,4,2,7,3,5] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,7,2,4,6,1] => [1,6,4,2,7,3,5] => [2,4,6,3,7,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,2,6,1,4] => [4,1,6,2,7,3,5] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[5,3,7,2,6,4,1] => [1,4,6,2,7,3,5] => [4,2,6,3,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,7,4,1,2,6] => [6,2,1,4,7,3,5] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,7,4,1,6,2] => [2,6,1,4,7,3,5] => [2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,2,1,6] => [6,1,2,4,7,3,5] => [1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,2,6,1] => [1,6,2,4,7,3,5] => [2,6,4,3,7,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,1,2] => [2,1,6,4,7,3,5] => [4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,6,2,1] => [1,2,6,4,7,3,5] => [4,6,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4] => [4,2,1,6,7,3,5] => [6,1,2,4,3,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,4,2] => [2,4,1,6,7,3,5] => [6,2,1,4,3,7,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,7,6,2,1,4] => [4,1,2,6,7,3,5] => [6,1,4,3,7,5,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,2,4,1] => [1,4,2,6,7,3,5] => [6,2,4,3,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,4,1,2] => [2,1,4,6,7,3,5] => [6,4,3,7,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,6,4,2,1] => [1,2,4,6,7,3,5] => [6,4,3,7,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6] => [6,7,3,2,1,4,5] => [6,1,2,3,7,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,2,6,3,7] => [7,3,6,2,1,4,5] => [3,7,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,6,7,3] => [3,7,6,2,1,4,5] => [3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,4,1,2,7,3,6] => [6,3,7,2,1,4,5] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,6,3] => [3,6,7,2,1,4,5] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,6,7] => [7,6,2,3,1,4,5] => [2,6,7,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6] => [6,7,2,3,1,4,5] => [6,2,7,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,6,2,7] => [7,2,6,3,1,4,5] => [2,7,1,3,6,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,6,7,2] => [2,7,6,3,1,4,5] => [2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,2,6] => [6,2,7,3,1,4,5] => [2,6,1,3,7,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,6,2] => [2,6,7,3,1,4,5] => [6,2,1,3,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7] => [7,3,2,6,1,4,5] => [2,3,7,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,6,2,7,3] => [3,7,2,6,1,4,5] => [3,2,7,1,6,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,6,3,2,7] => [7,2,3,6,1,4,5] => [2,7,3,1,6,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,6,3,7,2] => [2,7,3,6,1,4,5] => [3,7,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,7,2,3] => [3,2,7,6,1,4,5] => [2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,4,1,6,7,3,2] => [2,3,7,6,1,4,5] => [3,2,1,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,3,6] => [6,3,2,7,1,4,5] => [2,3,6,1,7,5,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,1,7,2,6,3] => [3,6,2,7,1,4,5] => [3,2,6,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,4,1,7,3,2,6] => [6,2,3,7,1,4,5] => [2,6,3,1,7,5,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,7,3,6,2] => [2,6,3,7,1,4,5] => [3,6,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,2,3] => [3,2,6,7,1,4,5] => [6,2,3,1,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,3,2] => [2,3,6,7,1,4,5] => [6,3,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => [1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,3,7,6] => [6,7,3,1,2,4,5] => [6,1,3,7,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,3,7] => [7,3,6,1,2,4,5] => [3,7,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,7,3] => [3,7,6,1,2,4,5] => [3,1,6,7,5,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,3,6] => [6,3,7,1,2,4,5] => [3,6,1,7,5,4,2] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,6,3] => [3,6,7,1,2,4,5] => [6,3,1,7,5,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,7,6] => [6,7,1,3,2,4,5] => [6,1,7,5,4,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => [2,3,6,7,5,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6] => [6,1,7,3,2,4,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,6,1] => [1,6,7,3,2,4,5] => [6,2,3,7,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,3,7] => [7,3,1,6,2,4,5] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,7,3] => [3,7,1,6,2,4,5] => [3,1,7,2,6,5,4] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,3,1,7] => [7,1,3,6,2,4,5] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,3,7,1] => [1,7,3,6,2,4,5] => [3,7,2,6,5,4,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,7,1,3] => [3,1,7,6,2,4,5] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,7,3,1] => [1,3,7,6,2,4,5] => [3,2,6,7,5,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,3,6] => [6,3,1,7,2,4,5] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,6,3] => [3,6,1,7,2,4,5] => [3,1,6,2,7,5,4] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,3,1,6] => [6,1,3,7,2,4,5] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,7,3,6,1] => [1,6,3,7,2,4,5] => [3,6,2,7,5,4,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,1,3] => [3,1,6,7,2,4,5] => [6,1,3,2,7,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,3,1] => [1,3,6,7,2,4,5] => [6,3,2,7,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,7,6] => [6,7,2,1,3,4,5] => [6,1,2,7,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,6,2,7] => [7,2,6,1,3,4,5] => [2,7,1,6,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,6,7,2] => [2,7,6,1,3,4,5] => [2,1,6,7,5,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,2,6] => [6,2,7,1,3,4,5] => [2,6,1,7,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,6,2] => [2,6,7,1,3,4,5] => [6,2,1,7,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [1,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,7,6] => [6,7,1,2,3,4,5] => [6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [2,6,7,5,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,1,6] => [6,1,7,2,3,4,5] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => [6,2,7,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,7,2] => [2,7,1,6,3,4,5] => [2,1,7,3,6,5,4] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [1,7,3,6,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [2,7,3,6,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => [3,6,7,5,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [3,6,7,5,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,2,6] => [6,2,1,7,3,4,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,6,2] => [2,6,1,7,3,4,5] => [2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,2,1,6] => [6,1,2,7,3,4,5] => [1,6,3,7,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,2,6,1] => [1,6,2,7,3,4,5] => [2,6,3,7,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,6,1,2] => [2,1,6,7,3,4,5] => [6,3,7,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => [6,3,7,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,7,3] => [3,7,2,1,6,4,5] => [3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,2,7] => [7,2,3,1,6,4,5] => [2,7,4,6,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,4,6,1,3,7,2] => [2,7,3,1,6,4,5] => [2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,2,3] => [3,2,7,1,6,4,5] => [2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,3,2] => [2,3,7,1,6,4,5] => [3,2,1,7,4,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => [1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,7,3] => [3,7,1,2,6,4,5] => [3,1,7,4,6,5,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => [2,3,7,4,6,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,1,3] => [3,1,7,2,6,4,5] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,3,1] => [1,3,7,2,6,4,5] => [3,2,7,4,6,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,7,2] => [2,7,1,3,6,4,5] => [2,1,7,4,6,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [1,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [2,7,4,6,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => [3,7,4,6,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [3,7,4,6,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => [4,6,7,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,6,7,1,3,2] => [2,3,1,7,6,4,5] => [4,6,7,5,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => [4,6,7,5,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => [4,6,7,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => [4,6,7,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [4,6,7,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,3,6] => [6,3,2,1,7,4,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7)
[5,4,7,1,2,6,3] => [3,6,2,1,7,4,5] => [3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,4,7,1,3,2,6] => [6,2,3,1,7,4,5] => [2,6,4,7,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,3,6,2] => [2,6,3,1,7,4,5] => [2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,4,7,1,6,2,3] => [3,2,6,1,7,4,5] => [2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,4,7,1,6,3,2] => [2,3,6,1,7,4,5] => [3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[5,4,7,2,1,3,6] => [6,3,1,2,7,4,5] => [1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,1,6,3] => [3,6,1,2,7,4,5] => [3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,3,1,6] => [6,1,3,2,7,4,5] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,3,6,1] => [1,6,3,2,7,4,5] => [2,3,6,4,7,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,2,6,1,3] => [3,1,6,2,7,4,5] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,4,7,2,6,3,1] => [1,3,6,2,7,4,5] => [3,2,6,4,7,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,1,2,6] => [6,2,1,3,7,4,5] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,1,6,2] => [2,6,1,3,7,4,5] => [2,1,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,2,1,6] => [6,1,2,3,7,4,5] => [1,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,2,6,1] => [1,6,2,3,7,4,5] => [2,6,4,7,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2] => [2,1,6,3,7,4,5] => [3,6,4,7,5,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,2,1] => [1,2,6,3,7,4,5] => [3,6,4,7,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,1,2,3] => [3,2,1,6,7,4,5] => [6,4,7,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,1,3,2] => [2,3,1,6,7,4,5] => [6,4,7,5,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,2,1,3] => [3,1,2,6,7,4,5] => [6,4,7,5,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,7,6,2,3,1] => [1,3,2,6,7,4,5] => [6,4,7,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,6,3,1,2] => [2,1,3,6,7,4,5] => [6,4,7,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => [6,4,7,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7)
[5,6,1,2,3,7,4] => [4,7,3,2,1,6,5] => [4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,2,4,3,7] => [7,3,4,2,1,6,5] => [3,7,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,1,2,4,7,3] => [3,7,4,2,1,6,5] => [3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,2,7,3,4] => [4,3,7,2,1,6,5] => [3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)
[5,6,1,2,7,4,3] => [3,4,7,2,1,6,5] => [4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,1,3,2,4,7] => [7,4,2,3,1,6,5] => [2,4,7,5,6,1,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,1,3,2,7,4] => [4,7,2,3,1,6,5] => [4,2,7,5,6,1,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[5,6,1,3,4,2,7] => [7,2,4,3,1,6,5] => [2,7,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,4,7,2] => [2,7,4,3,1,6,5] => [2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,1,3,7,2,4] => [4,2,7,3,1,6,5] => [2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,1,3,7,4,2] => [2,4,7,3,1,6,5] => [4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,3,7] => [7,3,2,4,1,6,5] => [2,3,7,5,6,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,7,3] => [3,7,2,4,1,6,5] => [3,2,7,5,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,3,2,7] => [7,2,3,4,1,6,5] => [2,7,5,6,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,3,7,2] => [2,7,3,4,1,6,5] => [3,7,5,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,7,2,3] => [3,2,7,4,1,6,5] => [2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,4,7,3,2] => [2,3,7,4,1,6,5] => [3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,1,7,2,3,4] => [4,3,2,7,1,6,5] => [2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,7,2,4,3] => [3,4,2,7,1,6,5] => [3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,2,4] => [4,2,3,7,1,6,5] => [2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,4,2] => [2,4,3,7,1,6,5] => [3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,1,7,4,2,3] => [3,2,4,7,1,6,5] => [4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,1,7,4,3,2] => [2,3,4,7,1,6,5] => [4,3,2,1,7,5,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => [1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,7,4] => [4,7,3,1,2,6,5] => [4,1,3,7,5,6,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,2,1,4,3,7] => [7,3,4,1,2,6,5] => [3,7,5,6,1,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,6,2,1,4,7,3] => [3,7,4,1,2,6,5] => [3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,3,4] => [4,3,7,1,2,6,5] => [3,4,1,7,5,6,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,7,4,3] => [3,4,7,1,2,6,5] => [4,3,1,7,5,6,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,2,3,1,7,4] => [4,7,1,3,2,6,5] => [4,1,7,5,6,2,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => [2,3,4,7,5,6,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,7,1,4] => [4,1,7,3,2,6,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,3,7,4,1] => [1,4,7,3,2,6,5] => [4,2,3,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,2,4,1,3,7] => [7,3,1,4,2,6,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,7,3] => [3,7,1,4,2,6,5] => [3,1,7,5,6,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,1,7] => [7,1,3,4,2,6,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,2,4,3,7,1] => [1,7,3,4,2,6,5] => [3,7,5,6,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,7,1,3] => [3,1,7,4,2,6,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,2,4,7,3,1] => [1,3,7,4,2,6,5] => [3,2,4,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,1,3,4] => [4,3,1,7,2,6,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,7,1,4,3] => [3,4,1,7,2,6,5] => [3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7)
[5,6,2,7,3,1,4] => [4,1,3,7,2,6,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,2,7,3,4,1] => [1,4,3,7,2,6,5] => [3,4,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,1,3] => [3,1,4,7,2,6,5] => [4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,6,2,7,4,3,1] => [1,3,4,7,2,6,5] => [4,3,2,7,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,7,4] => [4,7,2,1,3,6,5] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,1,4,2,7] => [7,2,4,1,3,6,5] => [2,7,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,4,7,2] => [2,7,4,1,3,6,5] => [2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,7,2,4] => [4,2,7,1,3,6,5] => [2,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,3,1,7,4,2] => [2,4,7,1,3,6,5] => [4,2,1,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => [1,4,7,5,6,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,1,7,4] => [4,7,1,2,3,6,5] => [4,1,7,5,6,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => [2,4,7,5,6,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,7,1,4] => [4,1,7,2,3,6,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,2,7,4,1] => [1,4,7,2,3,6,5] => [4,2,7,5,6,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,7,2] => [2,7,1,4,3,6,5] => [2,1,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => [1,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => [2,7,5,6,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => [3,4,7,5,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => [3,4,7,5,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,1,2,4] => [4,2,1,7,3,6,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7)
[5,6,3,7,1,4,2] => [2,4,1,7,3,6,5] => [2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[5,6,3,7,2,1,4] => [4,1,2,7,3,6,5] => [1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,2,4,1] => [1,4,2,7,3,6,5] => [2,4,3,7,5,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,7,4,1,2] => [2,1,4,7,3,6,5] => [4,3,7,5,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,3,7,4,2,1] => [1,2,4,7,3,6,5] => [4,3,7,5,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,2,7,3] => [3,7,2,1,4,6,5] => [3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,4,1,3,2,7] => [7,2,3,1,4,6,5] => [2,7,5,6,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,3,7,2] => [2,7,3,1,4,6,5] => [2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,7,2,3] => [3,2,7,1,4,6,5] => [2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[5,6,4,1,7,3,2] => [2,3,7,1,4,6,5] => [3,2,1,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => [1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,7,3] => [3,7,1,2,4,6,5] => [3,1,7,5,6,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => [2,3,7,5,6,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,7,1,3] => [3,1,7,2,4,6,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,7,3,1] => [1,3,7,2,4,6,5] => [3,2,7,5,6,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,1,7,2] => [2,7,1,3,4,6,5] => [2,1,7,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [1,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [2,7,5,6,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => [3,7,5,6,4,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [3,7,5,6,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => [4,7,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,7,1,3,2] => [2,3,1,7,4,6,5] => [4,7,5,6,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => [4,7,5,6,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => [4,7,5,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => [4,7,5,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [4,7,5,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,1,2,4,3] => [3,4,2,1,7,6,5] => [5,6,7,3,1,2,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,1,3,2,4] => [4,2,3,1,7,6,5] => [5,6,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,1,3,4,2] => [2,4,3,1,7,6,5] => [5,6,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,1,4,2,3] => [3,2,4,1,7,6,5] => [5,6,7,2,3,1,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,1,4,3,2] => [2,3,4,1,7,6,5] => [5,6,7,3,2,1,4] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => [5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,2,1,4,3] => [3,4,1,2,7,6,5] => [5,6,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => [5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,2,4,1,3] => [3,1,4,2,7,6,5] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,2,4,3,1] => [1,3,4,2,7,6,5] => [5,6,7,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,3,1,4,2] => [2,4,1,3,7,6,5] => [5,6,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => [5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => [5,6,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => [5,6,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => [5,6,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,7,4,1,3,2] => [2,3,1,4,7,6,5] => [5,6,7,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => [5,6,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => [5,6,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => [5,6,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,3,4,6] => [6,4,3,2,1,7,5] => [1,2,3,4,6,5,7] => ([(5,6)],7)
[5,7,1,2,3,6,4] => [4,6,3,2,1,7,5] => [4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,7,1,2,4,3,6] => [6,3,4,2,1,7,5] => [3,6,5,7,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,2,4,6,3] => [3,6,4,2,1,7,5] => [3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,1,2,6,3,4] => [4,3,6,2,1,7,5] => [3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,2,6,4,3] => [3,4,6,2,1,7,5] => [4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,2,4,6] => [6,4,2,3,1,7,5] => [2,4,6,5,7,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,2,6,4] => [4,6,2,3,1,7,5] => [4,2,6,5,7,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,3,4,2,6] => [6,2,4,3,1,7,5] => [2,6,5,7,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,1,3,4,6,2] => [2,6,4,3,1,7,5] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,1,3,6,2,4] => [4,2,6,3,1,7,5] => [2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,7,1,3,6,4,2] => [2,4,6,3,1,7,5] => [4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,2,3,6] => [6,3,2,4,1,7,5] => [2,3,6,5,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,1,4,2,6,3] => [3,6,2,4,1,7,5] => [3,2,6,5,7,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,1,4,3,2,6] => [6,2,3,4,1,7,5] => [2,6,5,7,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,3,6,2] => [2,6,3,4,1,7,5] => [3,6,5,7,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,6,2,3] => [3,2,6,4,1,7,5] => [2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,1,4,6,3,2] => [2,3,6,4,1,7,5] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,1,6,2,3,4] => [4,3,2,6,1,7,5] => [2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7)
[5,7,1,6,2,4,3] => [3,4,2,6,1,7,5] => [3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,2,4] => [4,2,3,6,1,7,5] => [2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,4,2] => [2,4,3,6,1,7,5] => [3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,4,2,3] => [3,2,4,6,1,7,5] => [4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,4,3,2] => [2,3,4,6,1,7,5] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,4,6] => [6,4,3,1,2,7,5] => [1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,6,4] => [4,6,3,1,2,7,5] => [4,1,3,6,5,7,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,4,3,6] => [6,3,4,1,2,7,5] => [3,6,5,7,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[5,7,2,1,4,6,3] => [3,6,4,1,2,7,5] => [3,1,4,6,5,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,6,3,4] => [4,3,6,1,2,7,5] => [3,4,1,6,5,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,1,6,4,3] => [3,4,6,1,2,7,5] => [4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,4,6] => [6,4,1,3,2,7,5] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,3,1,6,4] => [4,6,1,3,2,7,5] => [4,1,6,5,7,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,3,4,1,6] => [6,1,4,3,2,7,5] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,4,6,1] => [1,6,4,3,2,7,5] => [2,3,4,6,5,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,6,1,4] => [4,1,6,3,2,7,5] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,2,3,6,4,1] => [1,4,6,3,2,7,5] => [4,2,3,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,1,3,6] => [6,3,1,4,2,7,5] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,4,1,6,3] => [3,6,1,4,2,7,5] => [3,1,6,5,7,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,2,4,3,1,6] => [6,1,3,4,2,7,5] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,3,6,1] => [1,6,3,4,2,7,5] => [3,6,5,7,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,2,4,6,1,3] => [3,1,6,4,2,7,5] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7)
[5,7,2,4,6,3,1] => [1,3,6,4,2,7,5] => [3,2,4,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,2,6,1,3,4] => [4,3,1,6,2,7,5] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7)
[5,7,2,6,1,4,3] => [3,4,1,6,2,7,5] => [3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7)
[5,7,2,6,3,1,4] => [4,1,3,6,2,7,5] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,2,6,3,4,1] => [1,4,3,6,2,7,5] => [3,4,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,4,1,3] => [3,1,4,6,2,7,5] => [4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,4,3,1] => [1,3,4,6,2,7,5] => [4,3,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,4,6] => [6,4,2,1,3,7,5] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,6,4] => [4,6,2,1,3,7,5] => [4,1,2,6,5,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,3,1,4,2,6] => [6,2,4,1,3,7,5] => [2,6,5,7,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[5,7,3,1,4,6,2] => [2,6,4,1,3,7,5] => [2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,2,4] => [4,2,6,1,3,7,5] => [2,4,1,6,5,7,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[5,7,3,1,6,4,2] => [2,4,6,1,3,7,5] => [4,2,1,6,5,7,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[5,7,3,2,1,4,6] => [6,4,1,2,3,7,5] => [1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,1,6,4] => [4,6,1,2,3,7,5] => [4,1,6,5,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,4,1,6] => [6,1,4,2,3,7,5] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,4,6,1] => [1,6,4,2,3,7,5] => [2,4,6,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,6,1,4] => [4,1,6,2,3,7,5] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,3,2,6,4,1] => [1,4,6,2,3,7,5] => [4,2,6,5,7,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,4,1,2,6] => [6,2,1,4,3,7,5] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,4,1,6,2] => [2,6,1,4,3,7,5] => [2,1,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,4,2,1,6] => [6,1,2,4,3,7,5] => [1,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,4,2,6,1] => [1,6,2,4,3,7,5] => [2,6,5,7,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,3,4,6,1,2] => [2,1,6,4,3,7,5] => [3,4,6,5,7,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,4,6,2,1] => [1,2,6,4,3,7,5] => [3,4,6,5,7,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,6,1,2,4] => [4,2,1,6,3,7,5] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7)
[5,7,3,6,1,4,2] => [2,4,1,6,3,7,5] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7)
[5,7,3,6,2,1,4] => [4,1,2,6,3,7,5] => [1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,3,6,2,4,1] => [1,4,2,6,3,7,5] => [2,4,3,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,7,3,6,4,1,2] => [2,1,4,6,3,7,5] => [4,3,6,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,3,6,4,2,1] => [1,2,4,6,3,7,5] => [4,3,6,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,2,3,6] => [6,3,2,1,4,7,5] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,2,6,3] => [3,6,2,1,4,7,5] => [3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,4,1,3,2,6] => [6,2,3,1,4,7,5] => [2,6,5,7,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[5,7,4,1,3,6,2] => [2,6,3,1,4,7,5] => [2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,2,3] => [3,2,6,1,4,7,5] => [2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,3,2] => [2,3,6,1,4,7,5] => [3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,3,6] => [6,3,1,2,4,7,5] => [1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,6,3] => [3,6,1,2,4,7,5] => [3,1,6,5,7,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,3,1,6] => [6,1,3,2,4,7,5] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,6,1] => [1,6,3,2,4,7,5] => [2,3,6,5,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,6,1,3] => [3,1,6,2,4,7,5] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,6,3,1] => [1,3,6,2,4,7,5] => [3,2,6,5,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,1,2,6] => [6,2,1,3,4,7,5] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,1,6,2] => [2,6,1,3,4,7,5] => [2,1,6,5,7,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,2,1,6] => [6,1,2,3,4,7,5] => [1,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,2,6,1] => [1,6,2,3,4,7,5] => [2,6,5,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,3,6,1,2] => [2,1,6,3,4,7,5] => [3,6,5,7,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,4,3,6,2,1] => [1,2,6,3,4,7,5] => [3,6,5,7,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,6,1,2,3] => [3,2,1,6,4,7,5] => [4,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[5,7,4,6,1,3,2] => [2,3,1,6,4,7,5] => [4,6,5,7,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,4,6,2,1,3] => [3,1,2,6,4,7,5] => [4,6,5,7,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,4,6,2,3,1] => [1,3,2,6,4,7,5] => [4,6,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,6,3,1,2] => [2,1,3,6,4,7,5] => [4,6,5,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,7,4,6,3,2,1] => [1,2,3,6,4,7,5] => [4,6,5,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,1,2,3,4] => [4,3,2,1,6,7,5] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,1,2,4,3] => [3,4,2,1,6,7,5] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,1,3,2,4] => [4,2,3,1,6,7,5] => [6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,1,3,4,2] => [2,4,3,1,6,7,5] => [6,5,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,1,4,2,3] => [3,2,4,1,6,7,5] => [6,5,7,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,3,2] => [2,3,4,1,6,7,5] => [6,5,7,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,3,4] => [4,3,1,2,6,7,5] => [6,5,7,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,4,3] => [3,4,1,2,6,7,5] => [6,5,7,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,3,1,4] => [4,1,3,2,6,7,5] => [6,5,7,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[5,7,6,2,3,4,1] => [1,4,3,2,6,7,5] => [6,5,7,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,2,4,1,3] => [3,1,4,2,6,7,5] => [6,5,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,2,4,3,1] => [1,3,4,2,6,7,5] => [6,5,7,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,1,2,4] => [4,2,1,3,6,7,5] => [6,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[5,7,6,3,1,4,2] => [2,4,1,3,6,7,5] => [6,5,7,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,2,1,4] => [4,1,2,3,6,7,5] => [6,5,7,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,2,4,1] => [1,4,2,3,6,7,5] => [6,5,7,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,3,4,1,2] => [2,1,4,3,6,7,5] => [6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,7,6,3,4,2,1] => [1,2,4,3,6,7,5] => [6,5,7,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,1,2,3] => [3,2,1,4,6,7,5] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,1,3,2] => [2,3,1,4,6,7,5] => [6,5,7,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,2,1,3] => [3,1,2,4,6,7,5] => [6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,2,3,1] => [1,3,2,4,6,7,5] => [6,5,7,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,3,1,2] => [2,1,3,4,6,7,5] => [6,5,7,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => [6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => [1,2,3,4,5,7,6] => ([(5,6)],7)
[6,1,2,3,4,7,5] => [5,7,4,3,2,1,6] => [5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,3,5,4,7] => [7,4,5,3,2,1,6] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,5,7,4] => [4,7,5,3,2,1,6] => [4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,2,3,7,4,5] => [5,4,7,3,2,1,6] => [4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,3,7,5,4] => [4,5,7,3,2,1,6] => [5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,3,5,7] => [7,5,3,4,2,1,6] => [3,5,7,6,1,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,4,3,7,5] => [5,7,3,4,2,1,6] => [5,3,7,6,1,2,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,4,5,3,7] => [7,3,5,4,2,1,6] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,7,3] => [3,7,5,4,2,1,6] => [3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,2,4,7,3,5] => [5,3,7,4,2,1,6] => [3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,4,7,5,3] => [3,5,7,4,2,1,6] => [5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,4,7] => [7,4,3,5,2,1,6] => [3,4,7,6,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,5,3,7,4] => [4,7,3,5,2,1,6] => [4,3,7,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,4,3,7] => [7,3,4,5,2,1,6] => [3,7,6,4,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,4,7,3] => [3,7,4,5,2,1,6] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,7,3,4] => [4,3,7,5,2,1,6] => [3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,5,7,4,3] => [3,4,7,5,2,1,6] => [4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,3,4,5] => [5,4,3,7,2,1,6] => [3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,3,5,4] => [4,5,3,7,2,1,6] => [4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,3,5] => [5,3,4,7,2,1,6] => [3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,2,7,4,5,3] => [3,5,4,7,2,1,6] => [4,5,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,3,4] => [4,3,5,7,2,1,6] => [5,3,4,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,4,3] => [3,4,5,7,2,1,6] => [5,4,3,1,2,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,4,5,7] => [7,5,4,2,3,1,6] => [2,4,5,7,6,1,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,2,4,7,5] => [5,7,4,2,3,1,6] => [5,2,4,7,6,1,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,1,3,2,5,4,7] => [7,4,5,2,3,1,6] => [4,7,6,2,5,1,3] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,2,5,7,4] => [4,7,5,2,3,1,6] => [4,2,5,7,6,1,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,2,7,4,5] => [5,4,7,2,3,1,6] => [4,5,2,7,6,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,2,7,5,4] => [4,5,7,2,3,1,6] => [5,4,2,7,6,1,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,5,7] => [7,5,2,4,3,1,6] => [2,5,7,6,1,3,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,7,5] => [5,7,2,4,3,1,6] => [5,2,7,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,1,3,4,5,2,7] => [7,2,5,4,3,1,6] => [2,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,7,2] => [2,7,5,4,3,1,6] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7)
[6,1,3,4,7,2,5] => [5,2,7,4,3,1,6] => [2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,3,4,7,5,2] => [2,5,7,4,3,1,6] => [5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,4,7] => [7,4,2,5,3,1,6] => [2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,7,4] => [4,7,2,5,3,1,6] => [4,2,7,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,1,3,5,4,2,7] => [7,2,4,5,3,1,6] => [2,7,6,4,1,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,4,7,2] => [2,7,4,5,3,1,6] => [4,7,6,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,7,2,4] => [4,2,7,5,3,1,6] => [2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,1,3,5,7,4,2] => [2,4,7,5,3,1,6] => [4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,2,4,5] => [5,4,2,7,3,1,6] => [2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,2,5,4] => [4,5,2,7,3,1,6] => [4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,2,5] => [5,2,4,7,3,1,6] => [2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,5,2] => [2,5,4,7,3,1,6] => [4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,7,5,2,4] => [4,2,5,7,3,1,6] => [5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,4,2] => [2,4,5,7,3,1,6] => [5,4,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,5,7] => [7,5,3,2,4,1,6] => [2,3,5,7,6,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,2,3,7,5] => [5,7,3,2,4,1,6] => [5,2,3,7,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,1,4,2,5,3,7] => [7,3,5,2,4,1,6] => [3,7,6,2,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,5,7,3] => [3,7,5,2,4,1,6] => [3,2,5,7,6,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,3,5] => [5,3,7,2,4,1,6] => [3,5,2,7,6,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,5,3] => [3,5,7,2,4,1,6] => [5,3,2,7,6,1,4] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,5,7] => [7,5,2,3,4,1,6] => [2,5,7,6,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,7,5] => [5,7,2,3,4,1,6] => [5,2,7,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,4,3,5,2,7] => [7,2,5,3,4,1,6] => [2,7,6,3,5,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,5,7,2] => [2,7,5,3,4,1,6] => [3,5,7,6,2,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,3,7,2,5] => [5,2,7,3,4,1,6] => [2,5,3,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,4,3,7,5,2] => [2,5,7,3,4,1,6] => [5,3,7,6,2,1,4] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,3,7] => [7,3,2,5,4,1,6] => [2,3,7,6,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,7,3] => [3,7,2,5,4,1,6] => [3,2,7,6,1,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,2,7] => [7,2,3,5,4,1,6] => [2,7,6,3,1,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,7,2] => [2,7,3,5,4,1,6] => [3,7,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,2,3] => [3,2,7,5,4,1,6] => [2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,1,4,5,7,3,2] => [2,3,7,5,4,1,6] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,3,5] => [5,3,2,7,4,1,6] => [2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,1,4,7,2,5,3] => [3,5,2,7,4,1,6] => [3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,2,5] => [5,2,3,7,4,1,6] => [2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,5,2] => [2,5,3,7,4,1,6] => [3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,2,3] => [3,2,5,7,4,1,6] => [5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,3,2] => [2,3,5,7,4,1,6] => [5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,4,7] => [7,4,3,2,5,1,6] => [2,3,4,7,6,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,7,4] => [4,7,3,2,5,1,6] => [4,2,3,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,3,7] => [7,3,4,2,5,1,6] => [3,7,6,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,7,3] => [3,7,4,2,5,1,6] => [3,2,4,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,3,4] => [4,3,7,2,5,1,6] => [3,4,2,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,7,4,3] => [3,4,7,2,5,1,6] => [4,3,2,7,6,1,5] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,2,4,7] => [7,4,2,3,5,1,6] => [2,4,7,6,3,1,5] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,2,7,4] => [4,7,2,3,5,1,6] => [4,2,7,6,3,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,4,2,7] => [7,2,4,3,5,1,6] => [2,7,6,3,4,1,5] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,4,7,2] => [2,7,4,3,5,1,6] => [3,4,7,6,2,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,2,4] => [4,2,7,3,5,1,6] => [2,4,3,7,6,1,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,4,2] => [2,4,7,3,5,1,6] => [4,3,7,6,2,1,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,2,3,7] => [7,3,2,4,5,1,6] => [2,3,7,6,4,1,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,2,7,3] => [3,7,2,4,5,1,6] => [3,2,7,6,4,1,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,3,2,7] => [7,2,3,4,5,1,6] => [2,7,6,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,3,7,2] => [2,7,3,4,5,1,6] => [3,7,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,7,2,3] => [3,2,7,4,5,1,6] => [4,7,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,4,7,3,2] => [2,3,7,4,5,1,6] => [4,7,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,2,3,4] => [4,3,2,7,5,1,6] => [2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,7,2,4,3] => [3,4,2,7,5,1,6] => [3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,2,4] => [4,2,3,7,5,1,6] => [2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,4,2] => [2,4,3,7,5,1,6] => [3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,2,3] => [3,2,4,7,5,1,6] => [4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,3,2] => [2,3,4,7,5,1,6] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,3,4,5] => [5,4,3,2,7,1,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,2,3,5,4] => [4,5,3,2,7,1,6] => [4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,3,5] => [5,3,4,2,7,1,6] => [3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,5,3] => [3,5,4,2,7,1,6] => [3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,5,3,4] => [4,3,5,2,7,1,6] => [3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,5,4,3] => [3,4,5,2,7,1,6] => [4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,2,4,5] => [5,4,2,3,7,1,6] => [2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,2,5,4] => [4,5,2,3,7,1,6] => [4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,4,2,5] => [5,2,4,3,7,1,6] => [2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,4,5,2] => [2,5,4,3,7,1,6] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,5,2,4] => [4,2,5,3,7,1,6] => [2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,5,4,2] => [2,4,5,3,7,1,6] => [4,3,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,3,5] => [5,3,2,4,7,1,6] => [2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,5,3] => [3,5,2,4,7,1,6] => [3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,7,4,3,2,5] => [5,2,3,4,7,1,6] => [2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,3,5,2] => [2,5,3,4,7,1,6] => [3,5,4,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,5,2,3] => [3,2,5,4,7,1,6] => [4,5,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,1,7,4,5,3,2] => [2,3,5,4,7,1,6] => [4,5,3,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,2,3,4] => [4,3,2,5,7,1,6] => [5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,2,4,3] => [3,4,2,5,7,1,6] => [5,3,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,2,4] => [4,2,3,5,7,1,6] => [5,2,4,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,4,2] => [2,4,3,5,7,1,6] => [5,3,4,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,4,2,3] => [3,2,4,5,7,1,6] => [5,4,2,3,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,4,3,2] => [2,3,4,5,7,1,6] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => [1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,7,5] => [5,7,4,3,1,2,6] => [5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,4,7] => [7,4,5,3,1,2,6] => [4,7,6,1,3,5,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,7,4] => [4,7,5,3,1,2,6] => [4,1,3,5,7,6,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,4,5] => [5,4,7,3,1,2,6] => [4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,5,4] => [4,5,7,3,1,2,6] => [5,4,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,3,5,7] => [7,5,3,4,1,2,6] => [3,5,7,6,1,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[6,2,1,4,3,7,5] => [5,7,3,4,1,2,6] => [5,3,7,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,2,1,4,5,3,7] => [7,3,5,4,1,2,6] => [3,7,6,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,4,5,7,3] => [3,7,5,4,1,2,6] => [3,1,4,5,7,6,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,3,5] => [5,3,7,4,1,2,6] => [3,5,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,5,3] => [3,5,7,4,1,2,6] => [5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,4,7] => [7,4,3,5,1,2,6] => [3,4,7,6,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,3,7,4] => [4,7,3,5,1,2,6] => [4,3,7,6,1,5,2] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,5,4,3,7] => [7,3,4,5,1,2,6] => [3,7,6,4,1,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,5,4,7,3] => [3,7,4,5,1,2,6] => [4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,3,4] => [4,3,7,5,1,2,6] => [3,4,1,5,7,6,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,5,7,4,3] => [3,4,7,5,1,2,6] => [4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,7,3,4,5] => [5,4,3,7,1,2,6] => [3,4,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,7,3,5,4] => [4,5,3,7,1,2,6] => [4,3,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,3,5] => [5,3,4,7,1,2,6] => [3,5,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,5,3] => [3,5,4,7,1,2,6] => [4,5,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,5,3,4] => [4,3,5,7,1,2,6] => [5,3,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,5,4,3] => [3,4,5,7,1,2,6] => [5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,1,4,7,5] => [5,7,4,1,3,2,6] => [5,1,4,7,6,2,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,1,5,4,7] => [7,4,5,1,3,2,6] => [4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,5,7,4] => [4,7,5,1,3,2,6] => [4,1,5,7,6,2,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,1,7,4,5] => [5,4,7,1,3,2,6] => [4,5,1,7,6,2,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,1,7,5,4] => [4,5,7,1,3,2,6] => [5,4,1,7,6,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => [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)
[6,2,3,4,1,7,5] => [5,7,1,4,3,2,6] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => [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)
[6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => [2,3,4,5,7,6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,7,1,5] => [5,1,7,4,3,2,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,3,4,7,5,1] => [1,5,7,4,3,2,6] => [5,2,3,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,4,7] => [7,4,1,5,3,2,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4] => [4,7,1,5,3,2,6] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,2,3,5,4,1,7] => [7,1,4,5,3,2,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1] => [1,7,4,5,3,2,6] => [4,7,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,7,1,4] => [4,1,7,5,3,2,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,3,5,7,4,1] => [1,4,7,5,3,2,6] => [4,2,3,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,4,5] => [5,4,1,7,3,2,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,1,5,4] => [4,5,1,7,3,2,6] => [4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,1,5] => [5,1,4,7,3,2,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,4,5,1] => [1,5,4,7,3,2,6] => [4,5,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,3,7,5,1,4] => [4,1,5,7,3,2,6] => [5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,5,4,1] => [1,4,5,7,3,2,6] => [5,4,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,3,5,7] => [7,5,3,1,4,2,6] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,1,3,7,5] => [5,7,3,1,4,2,6] => [5,1,3,7,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,2,4,1,5,3,7] => [7,3,5,1,4,2,6] => [3,7,6,1,5,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,7,3] => [3,7,5,1,4,2,6] => [3,1,5,7,6,2,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,1,7,3,5] => [5,3,7,1,4,2,6] => [3,5,1,7,6,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,1,7,5,3] => [3,5,7,1,4,2,6] => [5,3,1,7,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,5,7] => [7,5,1,3,4,2,6] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,7,5] => [5,7,1,3,4,2,6] => [5,1,7,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,2,4,3,5,1,7] => [7,1,5,3,4,2,6] => [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)
[6,2,4,3,5,7,1] => [1,7,5,3,4,2,6] => [3,5,7,6,2,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,2,4,3,7,1,5] => [5,1,7,3,4,2,6] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,3,7,5,1] => [1,5,7,3,4,2,6] => [5,3,7,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,3,7] => [7,3,1,5,4,2,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,7,3] => [3,7,1,5,4,2,6] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,1,7] => [7,1,3,5,4,2,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,7,1] => [1,7,3,5,4,2,6] => [3,7,6,2,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3] => [3,1,7,5,4,2,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7)
[6,2,4,5,7,3,1] => [1,3,7,5,4,2,6] => [3,2,4,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,7,1,3,5] => [5,3,1,7,4,2,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,2,4,7,1,5,3] => [3,5,1,7,4,2,6] => [3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,2,4,7,3,1,5] => [5,1,3,7,4,2,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,3,5,1] => [1,5,3,7,4,2,6] => [3,5,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,1,3] => [3,1,5,7,4,2,6] => [5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,3,1] => [1,3,5,7,4,2,6] => [5,3,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,4,7] => [7,4,3,1,5,2,6] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,7,4] => [4,7,3,1,5,2,6] => [4,1,3,7,6,2,5] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,5,1,4,3,7] => [7,3,4,1,5,2,6] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,7,3] => [3,7,4,1,5,2,6] => [3,1,4,7,6,2,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,3,4] => [4,3,7,1,5,2,6] => [3,4,1,7,6,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,4,3] => [3,4,7,1,5,2,6] => [4,3,1,7,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,4,7] => [7,4,1,3,5,2,6] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,7,4] => [4,7,1,3,5,2,6] => [4,1,7,6,3,2,5] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,1,7] => [7,1,4,3,5,2,6] => [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)
[6,2,5,3,4,7,1] => [1,7,4,3,5,2,6] => [3,4,7,6,2,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,1,4] => [4,1,7,3,5,2,6] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,3,7,4,1] => [1,4,7,3,5,2,6] => [4,3,7,6,2,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,3,7] => [7,3,1,4,5,2,6] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,7,3] => [3,7,1,4,5,2,6] => [3,1,7,6,4,2,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,3,1,7] => [7,1,3,4,5,2,6] => [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)
[6,2,5,4,3,7,1] => [1,7,3,4,5,2,6] => [3,7,6,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,7,1,3] => [3,1,7,4,5,2,6] => [4,7,6,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,7,3,1] => [1,3,7,4,5,2,6] => [4,7,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,3,4] => [4,3,1,7,5,2,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,2,5,7,1,4,3] => [3,4,1,7,5,2,6] => [3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,2,5,7,3,1,4] => [4,1,3,7,5,2,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,4,1] => [1,4,3,7,5,2,6] => [3,4,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,1,3] => [3,1,4,7,5,2,6] => [4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,3,1] => [1,3,4,7,5,2,6] => [4,3,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,4,5] => [5,4,3,1,7,2,6] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,7,1,3,5,4] => [4,5,3,1,7,2,6] => [4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,7,1,4,3,5] => [5,3,4,1,7,2,6] => [3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,7,1,4,5,3] => [3,5,4,1,7,2,6] => [3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,2,7,1,5,3,4] => [4,3,5,1,7,2,6] => [3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,5,4,3] => [3,4,5,1,7,2,6] => [4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,1,4,5] => [5,4,1,3,7,2,6] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,1,5,4] => [4,5,1,3,7,2,6] => [4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,4,1,5] => [5,1,4,3,7,2,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,4,5,1] => [1,5,4,3,7,2,6] => [3,4,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,5,1,4] => [4,1,5,3,7,2,6] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,5,4,1] => [1,4,5,3,7,2,6] => [4,3,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,1,3,5] => [5,3,1,4,7,2,6] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,1,5,3] => [3,5,1,4,7,2,6] => [3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,3,1,5] => [5,1,3,4,7,2,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,3,5,1] => [1,5,3,4,7,2,6] => [3,5,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,5,1,3] => [3,1,5,4,7,2,6] => [4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,5,3,1] => [1,3,5,4,7,2,6] => [4,5,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,1,3,4] => [4,3,1,5,7,2,6] => [5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,1,4,3] => [3,4,1,5,7,2,6] => [5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,3,1,4] => [4,1,3,5,7,2,6] => [5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,3,4,1] => [1,4,3,5,7,2,6] => [5,3,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,4,1,3] => [3,1,4,5,7,2,6] => [5,4,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,5,4,3,1] => [1,3,4,5,7,2,6] => [5,4,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,7,5] => [5,7,4,2,1,3,6] => [5,1,2,4,7,6,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,4,7] => [7,4,5,2,1,3,6] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,7,4] => [4,7,5,2,1,3,6] => [4,1,2,5,7,6,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,4,5] => [5,4,7,2,1,3,6] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,2,7,5,4] => [4,5,7,2,1,3,6] => [5,4,1,2,7,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,5,7] => [7,5,2,4,1,3,6] => [2,5,7,6,1,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,3,1,4,2,7,5] => [5,7,2,4,1,3,6] => [5,2,7,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,3,1,4,5,2,7] => [7,2,5,4,1,3,6] => [2,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,5,7,2] => [2,7,5,4,1,3,6] => [2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,2,5] => [5,2,7,4,1,3,6] => [2,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[6,3,1,4,7,5,2] => [2,5,7,4,1,3,6] => [5,2,1,4,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,5,2,4,7] => [7,4,2,5,1,3,6] => [2,4,7,6,1,5,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,7,4] => [4,7,2,5,1,3,6] => [4,2,7,6,1,5,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,2,7] => [7,2,4,5,1,3,6] => [2,7,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,4,7,2] => [2,7,4,5,1,3,6] => [4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,7,2,4] => [4,2,7,5,1,3,6] => [2,4,1,5,7,6,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,3,1,5,7,4,2] => [2,4,7,5,1,3,6] => [4,2,1,5,7,6,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,3,1,7,2,4,5] => [5,4,2,7,1,3,6] => [2,4,5,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,2,5,4] => [4,5,2,7,1,3,6] => [4,2,5,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,3,1,7,4,2,5] => [5,2,4,7,1,3,6] => [2,5,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,7,4,5,2] => [2,5,4,7,1,3,6] => [4,5,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,7,5,2,4] => [4,2,5,7,1,3,6] => [5,2,4,1,7,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,5,4,2] => [2,4,5,7,1,3,6] => [5,4,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => [1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,7,5] => [5,7,4,1,2,3,6] => [5,1,4,7,6,3,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,4,7] => [7,4,5,1,2,3,6] => [4,7,6,1,5,3,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,7,4] => [4,7,5,1,2,3,6] => [4,1,5,7,6,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,4,5] => [5,4,7,1,2,3,6] => [4,5,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,5,4] => [4,5,7,1,2,3,6] => [5,4,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,7,5] => [5,7,1,4,2,3,6] => [5,1,7,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => [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)
[6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => [2,4,5,7,6,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5] => [5,1,7,4,2,3,6] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,5,1] => [1,5,7,4,2,3,6] => [5,2,4,7,6,3,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,4,7] => [7,4,1,5,2,3,6] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,7,4] => [4,7,1,5,2,3,6] => [4,1,7,6,2,5,3] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,1,7] => [7,1,4,5,2,3,6] => [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)
[6,3,2,5,4,7,1] => [1,7,4,5,2,3,6] => [4,7,6,2,5,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,7,1,4] => [4,1,7,5,2,3,6] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,2,5,7,4,1] => [1,4,7,5,2,3,6] => [4,2,5,7,6,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5] => [5,4,1,7,2,3,6] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,7,1,5,4] => [4,5,1,7,2,3,6] => [4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[6,3,2,7,4,1,5] => [5,1,4,7,2,3,6] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,7,4,5,1] => [1,5,4,7,2,3,6] => [4,5,2,7,6,3,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,5,1,4] => [4,1,5,7,2,3,6] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,5,4,1] => [1,4,5,7,2,3,6] => [5,4,2,7,6,3,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,2,7,5] => [5,7,2,1,4,3,6] => [5,1,2,7,6,3,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,1,5,2,7] => [7,2,5,1,4,3,6] => [2,7,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,5,7,2] => [2,7,5,1,4,3,6] => [2,1,5,7,6,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,7,2,5] => [5,2,7,1,4,3,6] => [2,5,1,7,6,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,1,7,5,2] => [2,5,7,1,4,3,6] => [5,2,1,7,6,3,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => [1,5,7,6,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,7,5] => [5,7,1,2,4,3,6] => [5,1,7,6,3,4,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => [2,5,7,6,3,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,3,4,2,7,1,5] => [5,1,7,2,4,3,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,4,2,7,5,1] => [1,5,7,2,4,3,6] => [5,2,7,6,3,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,1,7,2] => [2,7,1,5,4,3,6] => [2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => [1,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => [2,7,6,3,4,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => [3,4,5,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => [3,4,5,7,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,1,2,5] => [5,2,1,7,4,3,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,4,7,1,5,2] => [2,5,1,7,4,3,6] => [2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,3,4,7,2,1,5] => [5,1,2,7,4,3,6] => [1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,2,5,1] => [1,5,2,7,4,3,6] => [2,5,3,4,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,7,5,1,2] => [2,1,5,7,4,3,6] => [5,3,4,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,7,5,2,1] => [1,2,5,7,4,3,6] => [5,3,4,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,4,7] => [7,4,2,1,5,3,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,7,4] => [4,7,2,1,5,3,6] => [4,1,2,7,6,3,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
[6,3,5,1,4,2,7] => [7,2,4,1,5,3,6] => [2,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,7,2] => [2,7,4,1,5,3,6] => [2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,2,4] => [4,2,7,1,5,3,6] => [2,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,4,2] => [2,4,7,1,5,3,6] => [4,2,1,7,6,3,5] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,3,5,2,1,4,7] => [7,4,1,2,5,3,6] => [1,4,7,6,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4] => [4,7,1,2,5,3,6] => [4,1,7,6,3,5,2] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,1,7] => [7,1,4,2,5,3,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1] => [1,7,4,2,5,3,6] => [2,4,7,6,3,5,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4] => [4,1,7,2,5,3,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,4,1] => [1,4,7,2,5,3,6] => [4,2,7,6,3,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,2,7] => [7,2,1,4,5,3,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,7,2] => [2,7,1,4,5,3,6] => [2,1,7,6,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,1,7] => [7,1,2,4,5,3,6] => [1,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1] => [1,7,2,4,5,3,6] => [2,7,6,4,3,5,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2] => [2,1,7,4,5,3,6] => [4,7,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,4,7,2,1] => [1,2,7,4,5,3,6] => [4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,1,2,4] => [4,2,1,7,5,3,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7)
[6,3,5,7,1,4,2] => [2,4,1,7,5,3,6] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,3,5,7,2,1,4] => [4,1,2,7,5,3,6] => [1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,5,7,2,4,1] => [1,4,2,7,5,3,6] => [2,4,3,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,5,7,4,1,2] => [2,1,4,7,5,3,6] => [4,3,5,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,5,7,4,2,1] => [1,2,4,7,5,3,6] => [4,3,5,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,4,5] => [5,4,2,1,7,3,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7)
[6,3,7,1,2,5,4] => [4,5,2,1,7,3,6] => [4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
[6,3,7,1,4,2,5] => [5,2,4,1,7,3,6] => [2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,4,5,2] => [2,5,4,1,7,3,6] => [2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,3,7,1,5,2,4] => [4,2,5,1,7,3,6] => [2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
[6,3,7,1,5,4,2] => [2,4,5,1,7,3,6] => [4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,1,4,5] => [5,4,1,2,7,3,6] => [1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,1,5,4] => [4,5,1,2,7,3,6] => [4,1,5,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,4,1,5] => [5,1,4,2,7,3,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,4,5,1] => [1,5,4,2,7,3,6] => [2,4,5,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,5,1,4] => [4,1,5,2,7,3,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7)
[6,3,7,2,5,4,1] => [1,4,5,2,7,3,6] => [4,2,5,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,1,2,5] => [5,2,1,4,7,3,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,3,7,4,1,5,2] => [2,5,1,4,7,3,6] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[6,3,7,4,2,1,5] => [5,1,2,4,7,3,6] => [1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,2,5,1] => [1,5,2,4,7,3,6] => [2,5,4,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,4,5,1,2] => [2,1,5,4,7,3,6] => [4,5,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,5,2,1] => [1,2,5,4,7,3,6] => [4,5,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,1,2,4] => [4,2,1,5,7,3,6] => [5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,1,4,2] => [2,4,1,5,7,3,6] => [5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,3,7,5,2,1,4] => [4,1,2,5,7,3,6] => [5,1,4,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,2,4,1] => [1,4,2,5,7,3,6] => [5,2,4,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,5,4,1,2] => [2,1,4,5,7,3,6] => [5,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,5,4,2,1] => [1,2,4,5,7,3,6] => [5,4,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,7,5] => [5,7,3,2,1,4,6] => [5,1,2,3,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,4,1,2,5,3,7] => [7,3,5,2,1,4,6] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3] => [3,7,5,2,1,4,6] => [3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,3,5] => [5,3,7,2,1,4,6] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
[6,4,1,2,7,5,3] => [3,5,7,2,1,4,6] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,3,2,5,7] => [7,5,2,3,1,4,6] => [2,5,7,6,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,1,3,2,7,5] => [5,7,2,3,1,4,6] => [5,2,7,6,4,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,1,3,5,2,7] => [7,2,5,3,1,4,6] => [2,7,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,5,7,2] => [2,7,5,3,1,4,6] => [2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,2,5] => [5,2,7,3,1,4,6] => [2,5,1,3,7,6,4] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
[6,4,1,3,7,5,2] => [2,5,7,3,1,4,6] => [5,2,1,3,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,4,1,5,2,3,7] => [7,3,2,5,1,4,6] => [2,3,7,6,1,5,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,7,3] => [3,7,2,5,1,4,6] => [3,2,7,6,1,5,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,1,5,3,2,7] => [7,2,3,5,1,4,6] => [2,7,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,3,7,2] => [2,7,3,5,1,4,6] => [3,7,6,2,1,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,2,3] => [3,2,7,5,1,4,6] => [2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,3,2] => [2,3,7,5,1,4,6] => [3,2,1,5,7,6,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,3,5] => [5,3,2,7,1,4,6] => [2,3,5,1,7,6,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[6,4,1,7,2,5,3] => [3,5,2,7,1,4,6] => [3,2,5,1,7,6,4] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
[6,4,1,7,3,2,5] => [5,2,3,7,1,4,6] => [2,5,3,1,7,6,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)
[6,4,1,7,3,5,2] => [2,5,3,7,1,4,6] => [3,5,2,1,7,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[6,4,1,7,5,2,3] => [3,2,5,7,1,4,6] => [5,2,3,1,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,1,7,5,3,2] => [2,3,5,7,1,4,6] => [5,3,2,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => [1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,3,7,5] => [5,7,3,1,2,4,6] => [5,1,3,7,6,4,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7] => [7,3,5,1,2,4,6] => [3,7,6,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,7,3] => [3,7,5,1,2,4,6] => [3,1,5,7,6,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,3,5] => [5,3,7,1,2,4,6] => [3,5,1,7,6,4,2] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,5,3] => [3,5,7,1,2,4,6] => [5,3,1,7,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,3,1,7,5] => [5,7,1,3,2,4,6] => [5,1,7,6,4,2,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => [2,3,5,7,6,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5] => [5,1,7,3,2,4,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,2,3,7,5,1] => [1,5,7,3,2,4,6] => [5,2,3,7,6,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,3,7] => [7,3,1,5,2,4,6] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3] => [3,7,1,5,2,4,6] => [3,1,7,6,2,5,4] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,3,1,7] => [7,1,3,5,2,4,6] => [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)
[6,4,2,5,3,7,1] => [1,7,3,5,2,4,6] => [3,7,6,2,5,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3] => [3,1,7,5,2,4,6] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,7,3,1] => [1,3,7,5,2,4,6] => [3,2,5,7,6,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,1,3,5] => [5,3,1,7,2,4,6] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
[6,4,2,7,1,5,3] => [3,5,1,7,2,4,6] => [3,1,5,2,7,6,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
[6,4,2,7,3,1,5] => [5,1,3,7,2,4,6] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,4,2,7,3,5,1] => [1,5,3,7,2,4,6] => [3,5,2,7,6,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,2,7,5,1,3] => [3,1,5,7,2,4,6] => [5,1,3,2,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[6,4,2,7,5,3,1] => [1,3,5,7,2,4,6] => [5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,7,5] => [5,7,2,1,3,4,6] => [5,1,2,7,6,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,3,1,5,2,7] => [7,2,5,1,3,4,6] => [2,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,5,7,2] => [2,7,5,1,3,4,6] => [2,1,5,7,6,4,3] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,2,5] => [5,2,7,1,3,4,6] => [2,5,1,7,6,4,3] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,5,2] => [2,5,7,1,3,4,6] => [5,2,1,7,6,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => [1,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,7,5] => [5,7,1,2,3,4,6] => [5,1,7,6,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => [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)
[6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => [2,5,7,6,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,1,5] => [5,1,7,2,3,4,6] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,5,1] => [1,5,7,2,3,4,6] => [5,2,7,6,4,3,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,7,2] => [2,7,1,5,3,4,6] => [2,1,7,6,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => [1,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => [2,7,6,3,5,4,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => [3,5,7,6,4,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => [3,5,7,6,4,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5] => [5,2,1,7,3,4,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,3,7,1,5,2] => [2,5,1,7,3,4,6] => [2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,2,1,5] => [5,1,2,7,3,4,6] => [1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,2,5,1] => [1,5,2,7,3,4,6] => [2,5,3,7,6,4,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,5,1,2] => [2,1,5,7,3,4,6] => [5,3,7,6,4,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,5,2,1] => [1,2,5,7,3,4,6] => [5,3,7,6,4,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,2,7,3] => [3,7,2,1,5,4,6] => [3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,4,5,1,3,2,7] => [7,2,3,1,5,4,6] => [2,7,6,4,5,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,3,7,2] => [2,7,3,1,5,4,6] => [2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,7,2,3] => [3,2,7,1,5,4,6] => [2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
[6,4,5,1,7,3,2] => [2,3,7,1,5,4,6] => [3,2,1,7,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => [1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,7,3] => [3,7,1,2,5,4,6] => [3,1,7,6,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => [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)
[6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => [2,3,7,6,4,5,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,7,1,3] => [3,1,7,2,5,4,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,7,3,1] => [1,3,7,2,5,4,6] => [3,2,7,6,4,5,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,1,7,2] => [2,7,1,3,5,4,6] => [2,1,7,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => [1,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => [2,7,6,4,5,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => [3,7,6,4,5,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => [3,7,6,4,5,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => [4,5,7,6,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,5,7,1,3,2] => [2,3,1,7,5,4,6] => [4,5,7,6,2,1,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => [4,5,7,6,1,3,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => [4,5,7,6,2,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => [4,5,7,6,3,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => [4,5,7,6,3,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,2,3,5] => [5,3,2,1,7,4,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7)
[6,4,7,1,2,5,3] => [3,5,2,1,7,4,6] => [3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,4,7,1,3,2,5] => [5,2,3,1,7,4,6] => [2,5,4,7,6,1,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,1,3,5,2] => [2,5,3,1,7,4,6] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,4,7,1,5,2,3] => [3,2,5,1,7,4,6] => [2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7)
[6,4,7,1,5,3,2] => [2,3,5,1,7,4,6] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[6,4,7,2,1,3,5] => [5,3,1,2,7,4,6] => [1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,7,2,1,5,3] => [3,5,1,2,7,4,6] => [3,1,5,4,7,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,1,5] => [5,1,3,2,7,4,6] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,2,3,5,1] => [1,5,3,2,7,4,6] => [2,3,5,4,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,7,2,5,1,3] => [3,1,5,2,7,4,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7)
[6,4,7,2,5,3,1] => [1,3,5,2,7,4,6] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,7,3,1,2,5] => [5,2,1,3,7,4,6] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,7,3,1,5,2] => [2,5,1,3,7,4,6] => [2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,1,5] => [5,1,2,3,7,4,6] => [1,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,2,5,1] => [1,5,2,3,7,4,6] => [2,5,4,7,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,3,5,1,2] => [2,1,5,3,7,4,6] => [3,5,4,7,6,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,7,3,5,2,1] => [1,2,5,3,7,4,6] => [3,5,4,7,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,1,2,3] => [3,2,1,5,7,4,6] => [5,4,7,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[6,4,7,5,1,3,2] => [2,3,1,5,7,4,6] => [5,4,7,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,2,1,3] => [3,1,2,5,7,4,6] => [5,4,7,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,5,2,3,1] => [1,3,2,5,7,4,6] => [5,4,7,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,5,3,1,2] => [2,1,3,5,7,4,6] => [5,4,7,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,4,7,5,3,2,1] => [1,2,3,5,7,4,6] => [5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7)
[6,5,1,2,3,7,4] => [4,7,3,2,1,5,6] => [4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,2,4,3,7] => [7,3,4,2,1,5,6] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,4,7,3] => [3,7,4,2,1,5,6] => [3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,2,7,3,4] => [4,3,7,2,1,5,6] => [3,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
[6,5,1,2,7,4,3] => [3,4,7,2,1,5,6] => [4,3,1,2,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,2,4,7] => [7,4,2,3,1,5,6] => [2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,1,3,2,7,4] => [4,7,2,3,1,5,6] => [4,2,7,6,5,1,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,1,3,4,2,7] => [7,2,4,3,1,5,6] => [2,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,4,7,2] => [2,7,4,3,1,5,6] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,2,4] => [4,2,7,3,1,5,6] => [2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[6,5,1,3,7,4,2] => [2,4,7,3,1,5,6] => [4,2,1,3,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,3,7] => [7,3,2,4,1,5,6] => [2,3,7,6,5,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,7,3] => [3,7,2,4,1,5,6] => [3,2,7,6,5,1,4] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,3,2,7] => [7,2,3,4,1,5,6] => [2,7,6,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,3,7,2] => [2,7,3,4,1,5,6] => [3,7,6,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,2,3] => [3,2,7,4,1,5,6] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,4,7,3,2] => [2,3,7,4,1,5,6] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[6,5,1,7,2,3,4] => [4,3,2,7,1,5,6] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,7,2,4,3] => [3,4,2,7,1,5,6] => [3,2,4,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,2,4] => [4,2,3,7,1,5,6] => [2,4,3,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,4,2] => [2,4,3,7,1,5,6] => [3,4,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,4,2,3] => [3,2,4,7,1,5,6] => [4,2,3,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,4,3,2] => [2,3,4,7,1,5,6] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => [1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4] => [4,7,3,1,2,5,6] => [4,1,3,7,6,5,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,5,2,1,4,3,7] => [7,3,4,1,2,5,6] => [3,7,6,5,1,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,7,3] => [3,7,4,1,2,5,6] => [3,1,4,7,6,5,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,3,4] => [4,3,7,1,2,5,6] => [3,4,1,7,6,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,4,3] => [3,4,7,1,2,5,6] => [4,3,1,7,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,2,3,1,7,4] => [4,7,1,3,2,5,6] => [4,1,7,6,5,2,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => [2,3,4,7,6,5,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,7,1,4] => [4,1,7,3,2,5,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,2,3,7,4,1] => [1,4,7,3,2,5,6] => [4,2,3,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,5,2,4,1,3,7] => [7,3,1,4,2,5,6] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3] => [3,7,1,4,2,5,6] => [3,1,7,6,5,2,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,1,7] => [7,1,3,4,2,5,6] => [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)
[6,5,2,4,3,7,1] => [1,7,3,4,2,5,6] => [3,7,6,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,7,1,3] => [3,1,7,4,2,5,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,2,4,7,3,1] => [1,3,7,4,2,5,6] => [3,2,4,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,3,4] => [4,3,1,7,2,5,6] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,2,7,1,4,3] => [3,4,1,7,2,5,6] => [3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
[6,5,2,7,3,1,4] => [4,1,3,7,2,5,6] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[6,5,2,7,3,4,1] => [1,4,3,7,2,5,6] => [3,4,2,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,1,3] => [3,1,4,7,2,5,6] => [4,1,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
[6,5,2,7,4,3,1] => [1,3,4,7,2,5,6] => [4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,7,4] => [4,7,2,1,3,5,6] => [4,1,2,7,6,5,3] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,5,3,1,4,2,7] => [7,2,4,1,3,5,6] => [2,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,4,7,2] => [2,7,4,1,3,5,6] => [2,1,4,7,6,5,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,2,4] => [4,2,7,1,3,5,6] => [2,4,1,7,6,5,3] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,4,2] => [2,4,7,1,3,5,6] => [4,2,1,7,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => [1,4,7,6,5,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,7,4] => [4,7,1,2,3,5,6] => [4,1,7,6,5,3,2] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => [2,4,7,6,5,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4] => [4,1,7,2,3,5,6] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,4,1] => [1,4,7,2,3,5,6] => [4,2,7,6,5,3,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => [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)
[6,5,3,4,1,7,2] => [2,7,1,4,3,5,6] => [2,1,7,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => [1,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => [2,7,6,5,3,4,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => [3,4,7,6,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => [3,4,7,6,5,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,2,4] => [4,2,1,7,3,5,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,3,7,1,4,2] => [2,4,1,7,3,5,6] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
[6,5,3,7,2,1,4] => [4,1,2,7,3,5,6] => [1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,2,4,1] => [1,4,2,7,3,5,6] => [2,4,3,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,7,4,1,2] => [2,1,4,7,3,5,6] => [4,3,7,6,5,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,3,7,4,2,1] => [1,2,4,7,3,5,6] => [4,3,7,6,5,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,2,7,3] => [3,7,2,1,4,5,6] => [3,1,2,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,3,2,7] => [7,2,3,1,4,5,6] => [2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,3,7,2] => [2,7,3,1,4,5,6] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,2,3] => [3,2,7,1,4,5,6] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,3,2] => [2,3,7,1,4,5,6] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => [1,3,7,6,5,4,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,7,3] => [3,7,1,2,4,5,6] => [3,1,7,6,5,4,2] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => [2,3,7,6,5,4,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,7,1,3] => [3,1,7,2,4,5,6] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,7,3,1] => [1,3,7,2,4,5,6] => [3,2,7,6,5,4,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,1,7,2] => [2,7,1,3,4,5,6] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [2,7,6,5,4,3,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => [3,7,6,5,4,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [3,7,6,5,4,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,1,3,2] => [2,3,1,7,4,5,6] => [4,7,6,5,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => [4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => [4,7,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => [4,7,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,1,2,4,3] => [3,4,2,1,7,5,6] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,1,3,2,4] => [4,2,3,1,7,5,6] => [5,7,6,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,1,3,4,2] => [2,4,3,1,7,5,6] => [5,7,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,1,4,2,3] => [3,2,4,1,7,5,6] => [5,7,6,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,3,2] => [2,3,4,1,7,5,6] => [5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => [5,7,6,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,4,3] => [3,4,1,2,7,5,6] => [5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => [5,7,6,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
[6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => [5,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,2,4,1,3] => [3,1,4,2,7,5,6] => [5,7,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,2,4,3,1] => [1,3,4,2,7,5,6] => [5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[6,5,7,3,1,4,2] => [2,4,1,3,7,5,6] => [5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => [5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => [5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => [5,7,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => [5,7,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,1,3,2] => [2,3,1,4,7,5,6] => [5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => [5,7,6,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => [5,7,6,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => [5,7,6,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,3,5,4] => [4,5,3,2,1,7,6] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,4,3,5] => [5,3,4,2,1,7,6] => [6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,1,2,4,5,3] => [3,5,4,2,1,7,6] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,5,3,4] => [4,3,5,2,1,7,6] => [6,7,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,2,5,4,3] => [3,4,5,2,1,7,6] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,2,4,5] => [5,4,2,3,1,7,6] => [6,7,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,1,3,2,5,4] => [4,5,2,3,1,7,6] => [6,7,4,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,4,2,5] => [5,2,4,3,1,7,6] => [6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,1,3,4,5,2] => [2,5,4,3,1,7,6] => [6,7,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,5,2,4] => [4,2,5,3,1,7,6] => [6,7,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,3,5,4,2] => [2,4,5,3,1,7,6] => [6,7,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,2,3,5] => [5,3,2,4,1,7,6] => [6,7,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,1,4,2,5,3] => [3,5,2,4,1,7,6] => [6,7,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,2,5] => [5,2,3,4,1,7,6] => [6,7,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,5,2] => [2,5,3,4,1,7,6] => [6,7,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,5,2,3] => [3,2,5,4,1,7,6] => [6,7,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,5,3,2] => [2,3,5,4,1,7,6] => [6,7,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,2,3,4] => [4,3,2,5,1,7,6] => [6,7,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,2,4,3] => [3,4,2,5,1,7,6] => [6,7,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,3,2,4] => [4,2,3,5,1,7,6] => [6,7,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,3,4,2] => [2,4,3,5,1,7,6] => [6,7,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,4,2,3] => [3,2,4,5,1,7,6] => [6,7,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,5,4,3,2] => [2,3,4,5,1,7,6] => [6,7,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => [6,7,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,3,5,4] => [4,5,3,1,2,7,6] => [6,7,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,3,5] => [5,3,4,1,2,7,6] => [6,7,3,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,1,4,5,3] => [3,5,4,1,2,7,6] => [6,7,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,1,5,3,4] => [4,3,5,1,2,7,6] => [6,7,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,1,5,4,3] => [3,4,5,1,2,7,6] => [6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => [6,7,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,1,5,4] => [4,5,1,3,2,7,6] => [6,7,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => [6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,3,5,1,4] => [4,1,5,3,2,7,6] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,3,5,4,1] => [1,4,5,3,2,7,6] => [6,7,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,4,1,3,5] => [5,3,1,4,2,7,6] => [6,7,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,1,5,3] => [3,5,1,4,2,7,6] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,3,1,5] => [5,1,3,4,2,7,6] => [6,7,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,3,5,1] => [1,5,3,4,2,7,6] => [6,7,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,4,5,1,3] => [3,1,5,4,2,7,6] => [6,7,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,4,5,3,1] => [1,3,5,4,2,7,6] => [6,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,5,1,3,4] => [4,3,1,5,2,7,6] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,1,4,3] => [3,4,1,5,2,7,6] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,1,4] => [4,1,3,5,2,7,6] => [6,7,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,4,1] => [1,4,3,5,2,7,6] => [6,7,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,2,5,4,1,3] => [3,1,4,5,2,7,6] => [6,7,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,4,3,1] => [1,3,4,5,2,7,6] => [6,7,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => [6,7,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,2,5,4] => [4,5,2,1,3,7,6] => [6,7,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,1,4,2,5] => [5,2,4,1,3,7,6] => [6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2] => [2,5,4,1,3,7,6] => [6,7,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,2,4] => [4,2,5,1,3,7,6] => [6,7,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,5,4,2] => [2,4,5,1,3,7,6] => [6,7,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => [6,7,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,1,5,4] => [4,5,1,2,3,7,6] => [6,7,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => [6,7,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,2,5,1,4] => [4,1,5,2,3,7,6] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,4,1] => [1,4,5,2,3,7,6] => [6,7,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => [6,7,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,1,5,2] => [2,5,1,4,3,7,6] => [6,7,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => [6,7,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => [6,7,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => [6,7,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,5,1,2,4] => [4,2,1,5,3,7,6] => [6,7,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,1,4,2] => [2,4,1,5,3,7,6] => [6,7,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,2,1,4] => [4,1,2,5,3,7,6] => [6,7,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,2,4,1] => [1,4,2,5,3,7,6] => [6,7,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,3,5,4,1,2] => [2,1,4,5,3,7,6] => [6,7,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,5,4,2,1] => [1,2,4,5,3,7,6] => [6,7,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => [6,7,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,2,5,3] => [3,5,2,1,4,7,6] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,3,2,5] => [5,2,3,1,4,7,6] => [6,7,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,3,5,2] => [2,5,3,1,4,7,6] => [6,7,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,5,2,3] => [3,2,5,1,4,7,6] => [6,7,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,1,5,3,2] => [2,3,5,1,4,7,6] => [6,7,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => [6,7,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,1,5,3] => [3,5,1,2,4,7,6] => [6,7,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => [6,7,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => [6,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,2,5,1,3] => [3,1,5,2,4,7,6] => [6,7,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,2,5,3,1] => [1,3,5,2,4,7,6] => [6,7,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => [6,7,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,1,5,2] => [2,5,1,3,4,7,6] => [6,7,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => [6,7,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => [6,7,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => [6,7,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => [6,7,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,1,3,2] => [2,3,1,5,4,7,6] => [6,7,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => [6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,2,4,3] => [3,4,2,1,5,7,6] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,2,4] => [4,2,3,1,5,7,6] => [6,7,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,3,4,2] => [2,4,3,1,5,7,6] => [6,7,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,2,3] => [3,2,4,1,5,7,6] => [6,7,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,1,4,3,2] => [2,3,4,1,5,7,6] => [6,7,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => [6,7,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,1,4,3] => [3,4,1,2,5,7,6] => [6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => [6,7,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => [6,7,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,2,4,1,3] => [3,1,4,2,5,7,6] => [6,7,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,2,4,3,1] => [1,3,4,2,5,7,6] => [6,7,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => [6,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,1,4,2] => [2,4,1,3,5,7,6] => [6,7,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => [6,7,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => [6,7,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,1,3,2] => [2,3,1,4,5,7,6] => [6,7,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => [6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[7,1,2,3,4,6,5] => [5,6,4,3,2,1,7] => [7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,5,4,6] => [6,4,5,3,2,1,7] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,3,5,6,4] => [4,6,5,3,2,1,7] => [7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,4,5] => [5,4,6,3,2,1,7] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,3,6,5,4] => [4,5,6,3,2,1,7] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,3,5,6] => [6,5,3,4,2,1,7] => [7,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,4,3,6,5] => [5,6,3,4,2,1,7] => [7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,4,5,3,6] => [6,3,5,4,2,1,7] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,5,6,3] => [3,6,5,4,2,1,7] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,3,5] => [5,3,6,4,2,1,7] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,5,3] => [3,5,6,4,2,1,7] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,4,6] => [6,4,3,5,2,1,7] => [7,3,4,6,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,6,4] => [4,6,3,5,2,1,7] => [7,4,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,4,3,6] => [6,3,4,5,2,1,7] => [7,3,6,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,4,6,3] => [3,6,4,5,2,1,7] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,6,3,4] => [4,3,6,5,2,1,7] => [7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,5,6,4,3] => [3,4,6,5,2,1,7] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,4,5] => [5,4,3,6,2,1,7] => [7,3,4,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,6,3,5,4] => [4,5,3,6,2,1,7] => [7,4,3,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,6,4,3,5] => [5,3,4,6,2,1,7] => [7,3,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,2,6,4,5,3] => [3,5,4,6,2,1,7] => [7,4,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,5,3,4] => [4,3,5,6,2,1,7] => [7,5,3,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,5,4,3] => [3,4,5,6,2,1,7] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,4,5,6] => [6,5,4,2,3,1,7] => [7,2,4,5,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,2,4,6,5] => [5,6,4,2,3,1,7] => [7,5,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,5,4,6] => [6,4,5,2,3,1,7] => [7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,5,6,4] => [4,6,5,2,3,1,7] => [7,4,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,4,5] => [5,4,6,2,3,1,7] => [7,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,2,6,5,4] => [4,5,6,2,3,1,7] => [7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,5,6] => [6,5,2,4,3,1,7] => [7,2,5,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,6,5] => [5,6,2,4,3,1,7] => [7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,2,6] => [6,2,5,4,3,1,7] => [7,2,6,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,6,2] => [2,6,5,4,3,1,7] => [7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,2,5] => [5,2,6,4,3,1,7] => [7,2,5,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,5,2] => [2,5,6,4,3,1,7] => [7,5,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,4,6] => [6,4,2,5,3,1,7] => [7,2,4,6,1,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,6,4] => [4,6,2,5,3,1,7] => [7,4,2,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,5,4,2,6] => [6,2,4,5,3,1,7] => [7,2,6,4,1,3,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,6,2] => [2,6,4,5,3,1,7] => [7,4,6,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,2,4] => [4,2,6,5,3,1,7] => [7,2,4,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,4,2] => [2,4,6,5,3,1,7] => [7,4,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,4,5] => [5,4,2,6,3,1,7] => [7,2,4,5,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,5,4] => [4,5,2,6,3,1,7] => [7,4,2,5,1,3,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,2,5] => [5,2,4,6,3,1,7] => [7,2,5,4,1,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,5,2] => [2,5,4,6,3,1,7] => [7,4,5,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,3,6,5,2,4] => [4,2,5,6,3,1,7] => [7,5,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,4,2] => [2,4,5,6,3,1,7] => [7,5,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,5,6] => [6,5,3,2,4,1,7] => [7,2,3,5,6,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,6,5] => [5,6,3,2,4,1,7] => [7,5,2,3,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,5,3,6] => [6,3,5,2,4,1,7] => [7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,5,6,3] => [3,6,5,2,4,1,7] => [7,3,2,5,6,1,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,6,3,5] => [5,3,6,2,4,1,7] => [7,3,5,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,6,5,3] => [3,5,6,2,4,1,7] => [7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,5,6] => [6,5,2,3,4,1,7] => [7,2,5,6,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,6,5] => [5,6,2,3,4,1,7] => [7,5,2,6,3,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,2,6] => [6,2,5,3,4,1,7] => [7,2,6,3,5,1,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,5,6,2] => [2,6,5,3,4,1,7] => [7,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,6,2,5] => [5,2,6,3,4,1,7] => [7,2,5,3,6,1,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,3,6,5,2] => [2,5,6,3,4,1,7] => [7,5,3,6,2,1,4] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,3,6] => [6,3,2,5,4,1,7] => [7,2,3,6,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,6,3] => [3,6,2,5,4,1,7] => [7,3,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,2,6] => [6,2,3,5,4,1,7] => [7,2,6,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,3,6,2] => [2,6,3,5,4,1,7] => [7,3,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,2,3] => [3,2,6,5,4,1,7] => [7,2,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,3,2] => [2,3,6,5,4,1,7] => [7,3,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,3,5] => [5,3,2,6,4,1,7] => [7,2,3,5,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,5,3] => [3,5,2,6,4,1,7] => [7,3,2,5,1,4,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,2,5] => [5,2,3,6,4,1,7] => [7,2,5,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,5,2] => [2,5,3,6,4,1,7] => [7,3,5,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,2,3] => [3,2,5,6,4,1,7] => [7,5,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,3,2] => [2,3,5,6,4,1,7] => [7,5,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,4,6] => [6,4,3,2,5,1,7] => [7,2,3,4,6,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,6,4] => [4,6,3,2,5,1,7] => [7,4,2,3,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,3,6] => [6,3,4,2,5,1,7] => [7,3,6,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,6,3] => [3,6,4,2,5,1,7] => [7,3,2,4,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,6,3,4] => [4,3,6,2,5,1,7] => [7,3,4,2,6,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,6,4,3] => [3,4,6,2,5,1,7] => [7,4,3,2,6,1,5] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,2,4,6] => [6,4,2,3,5,1,7] => [7,2,4,6,3,1,5] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,2,6,4] => [4,6,2,3,5,1,7] => [7,4,2,6,3,1,5] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,2,6] => [6,2,4,3,5,1,7] => [7,2,6,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,4,6,2] => [2,6,4,3,5,1,7] => [7,3,4,6,2,1,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,2,4] => [4,2,6,3,5,1,7] => [7,2,4,3,6,1,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,4,2] => [2,4,6,3,5,1,7] => [7,4,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,2,3,6] => [6,3,2,4,5,1,7] => [7,2,3,6,4,1,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,2,6,3] => [3,6,2,4,5,1,7] => [7,3,2,6,4,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,3,2,6] => [6,2,3,4,5,1,7] => [7,2,6,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,3,6,2] => [2,6,3,4,5,1,7] => [7,3,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,6,2,3] => [3,2,6,4,5,1,7] => [7,4,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,4,6,3,2] => [2,3,6,4,5,1,7] => [7,4,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,3,4] => [4,3,2,6,5,1,7] => [7,2,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,4,3] => [3,4,2,6,5,1,7] => [7,3,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,2,4] => [4,2,3,6,5,1,7] => [7,2,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,4,2] => [2,4,3,6,5,1,7] => [7,3,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,2,3] => [3,2,4,6,5,1,7] => [7,4,2,3,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,3,2] => [2,3,4,6,5,1,7] => [7,4,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,4,5] => [5,4,3,2,6,1,7] => [7,2,3,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,5,4] => [4,5,3,2,6,1,7] => [7,4,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,3,5] => [5,3,4,2,6,1,7] => [7,3,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,5,3] => [3,5,4,2,6,1,7] => [7,3,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,3,4] => [4,3,5,2,6,1,7] => [7,3,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,4,3] => [3,4,5,2,6,1,7] => [7,4,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,4,5] => [5,4,2,3,6,1,7] => [7,2,4,5,3,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,5,4] => [4,5,2,3,6,1,7] => [7,4,2,5,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,2,5] => [5,2,4,3,6,1,7] => [7,2,5,3,4,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,5,2] => [2,5,4,3,6,1,7] => [7,3,4,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,2,4] => [4,2,5,3,6,1,7] => [7,2,4,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,4,2] => [2,4,5,3,6,1,7] => [7,4,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,3,5] => [5,3,2,4,6,1,7] => [7,2,3,5,4,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,5,3] => [3,5,2,4,6,1,7] => [7,3,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,2,5] => [5,2,3,4,6,1,7] => [7,2,5,4,3,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,5,2] => [2,5,3,4,6,1,7] => [7,3,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3] => [3,2,5,4,6,1,7] => [7,4,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,3,2] => [2,3,5,4,6,1,7] => [7,4,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,3,4] => [4,3,2,5,6,1,7] => [7,5,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,2,4,3] => [3,4,2,5,6,1,7] => [7,5,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,2,4] => [4,2,3,5,6,1,7] => [7,5,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2] => [2,4,3,5,6,1,7] => [7,5,3,4,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,2,3] => [3,2,4,5,6,1,7] => [7,5,4,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,4,3,2] => [2,3,4,5,6,1,7] => [7,5,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => [7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,6,5] => [5,6,4,3,1,2,7] => [7,5,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,4,6] => [6,4,5,3,1,2,7] => [7,4,6,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,6,4] => [4,6,5,3,1,2,7] => [7,4,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,4,5] => [5,4,6,3,1,2,7] => [7,4,5,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,5,4] => [4,5,6,3,1,2,7] => [7,5,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,3,5,6] => [6,5,3,4,1,2,7] => [7,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,4,3,6,5] => [5,6,3,4,1,2,7] => [7,5,3,6,1,4,2] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,5,3,6] => [6,3,5,4,1,2,7] => [7,3,6,1,4,5,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,5,6,3] => [3,6,5,4,1,2,7] => [7,3,1,4,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,3,5] => [5,3,6,4,1,2,7] => [7,3,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,5,3] => [3,5,6,4,1,2,7] => [7,5,3,1,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,4,6] => [6,4,3,5,1,2,7] => [7,3,4,6,1,5,2] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,6,4] => [4,6,3,5,1,2,7] => [7,4,3,6,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,4,3,6] => [6,3,4,5,1,2,7] => [7,3,6,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,4,6,3] => [3,6,4,5,1,2,7] => [7,4,6,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,3,4] => [4,3,6,5,1,2,7] => [7,3,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,4,3] => [3,4,6,5,1,2,7] => [7,4,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,4,5] => [5,4,3,6,1,2,7] => [7,3,4,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,6,3,5,4] => [4,5,3,6,1,2,7] => [7,4,3,5,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,6,4,3,5] => [5,3,4,6,1,2,7] => [7,3,5,4,1,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,1,6,4,5,3] => [3,5,4,6,1,2,7] => [7,4,5,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,5,3,4] => [4,3,5,6,1,2,7] => [7,5,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,5,4,3] => [3,4,5,6,1,2,7] => [7,5,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,1,4,6,5] => [5,6,4,1,3,2,7] => [7,5,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,4,6] => [6,4,5,1,3,2,7] => [7,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,1,5,6,4] => [4,6,5,1,3,2,7] => [7,4,1,5,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,6,4,5] => [5,4,6,1,3,2,7] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,1,6,5,4] => [4,5,6,1,3,2,7] => [7,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,4,1,6,5] => [5,6,1,4,3,2,7] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => [7,1,6,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,1,5] => [5,1,6,4,3,2,7] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,6,5,1] => [1,5,6,4,3,2,7] => [7,5,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,4,6] => [6,4,1,5,3,2,7] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4] => [4,6,1,5,3,2,7] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,5,4,1,6] => [6,1,4,5,3,2,7] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1] => [1,6,4,5,3,2,7] => [7,4,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,6,1,4] => [4,1,6,5,3,2,7] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,6,4,1] => [1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,4,5] => [5,4,1,6,3,2,7] => [7,1,4,5,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,3,6,1,5,4] => [4,5,1,6,3,2,7] => [7,4,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5] => [5,1,4,6,3,2,7] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,4,5,1] => [1,5,4,6,3,2,7] => [7,4,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,5,1,4] => [4,1,5,6,3,2,7] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,5,4,1] => [1,4,5,6,3,2,7] => [7,5,4,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,5,6] => [6,5,3,1,4,2,7] => [7,1,3,5,6,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,3,6,5] => [5,6,3,1,4,2,7] => [7,5,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,3,6] => [6,3,5,1,4,2,7] => [7,3,6,1,5,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,6,3] => [3,6,5,1,4,2,7] => [7,3,1,5,6,2,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,3,5] => [5,3,6,1,4,2,7] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,5,3] => [3,5,6,1,4,2,7] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,5,6] => [6,5,1,3,4,2,7] => [7,1,5,6,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,3,1,6,5] => [5,6,1,3,4,2,7] => [7,5,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,3,5,1,6] => [6,1,5,3,4,2,7] => [7,1,6,3,5,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,6,1] => [1,6,5,3,4,2,7] => [7,3,5,6,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,1,5] => [5,1,6,3,4,2,7] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,5,1] => [1,5,6,3,4,2,7] => [7,5,3,6,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,3,6] => [6,3,1,5,4,2,7] => [7,1,3,6,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3] => [3,6,1,5,4,2,7] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,1,6] => [6,1,3,5,4,2,7] => [7,1,6,3,2,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1] => [1,6,3,5,4,2,7] => [7,3,6,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3] => [3,1,6,5,4,2,7] => [7,1,3,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,3,1] => [1,3,6,5,4,2,7] => [7,3,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,3,5] => [5,3,1,6,4,2,7] => [7,1,3,5,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3] => [3,5,1,6,4,2,7] => [7,3,1,5,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,4,6,3,1,5] => [5,1,3,6,4,2,7] => [7,1,5,3,2,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,3,5,1] => [1,5,3,6,4,2,7] => [7,3,5,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,1,3] => [3,1,5,6,4,2,7] => [7,5,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,3,1] => [1,3,5,6,4,2,7] => [7,5,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,4,6] => [6,4,3,1,5,2,7] => [7,1,3,4,6,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,6,4] => [4,6,3,1,5,2,7] => [7,4,1,3,6,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,3,6] => [6,3,4,1,5,2,7] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,6,3] => [3,6,4,1,5,2,7] => [7,3,1,4,6,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,3,4] => [4,3,6,1,5,2,7] => [7,3,4,1,6,2,5] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,4,3] => [3,4,6,1,5,2,7] => [7,4,3,1,6,2,5] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,4,6] => [6,4,1,3,5,2,7] => [7,1,4,6,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,6,4] => [4,6,1,3,5,2,7] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,3,4,1,6] => [6,1,4,3,5,2,7] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1] => [1,6,4,3,5,2,7] => [7,3,4,6,2,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,1,4] => [4,1,6,3,5,2,7] => [7,1,4,3,6,2,5] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,6,4,1] => [1,4,6,3,5,2,7] => [7,4,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,3,6] => [6,3,1,4,5,2,7] => [7,1,3,6,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3] => [3,6,1,4,5,2,7] => [7,3,1,6,4,2,5] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,1,6] => [6,1,3,4,5,2,7] => [7,1,6,4,3,2,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,6,1] => [1,6,3,4,5,2,7] => [7,3,6,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,6,1,3] => [3,1,6,4,5,2,7] => [7,4,6,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,5,4,6,3,1] => [1,3,6,4,5,2,7] => [7,4,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,3,4] => [4,3,1,6,5,2,7] => [7,1,3,4,2,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3] => [3,4,1,6,5,2,7] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4] => [4,1,3,6,5,2,7] => [7,1,4,3,2,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,4,1] => [1,4,3,6,5,2,7] => [7,3,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,1,3] => [3,1,4,6,5,2,7] => [7,4,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,3,1] => [1,3,4,6,5,2,7] => [7,4,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,4,5] => [5,4,3,1,6,2,7] => [7,1,3,4,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,5,4] => [4,5,3,1,6,2,7] => [7,4,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,3,5] => [5,3,4,1,6,2,7] => [7,3,5,1,4,2,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,5,3] => [3,5,4,1,6,2,7] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,3,4] => [4,3,5,1,6,2,7] => [7,3,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,5,4,3] => [3,4,5,1,6,2,7] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,4,5] => [5,4,1,3,6,2,7] => [7,1,4,5,3,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,1,5,4] => [4,5,1,3,6,2,7] => [7,4,1,5,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,1,5] => [5,1,4,3,6,2,7] => [7,1,5,3,4,2,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,4,5,1] => [1,5,4,3,6,2,7] => [7,3,4,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,1,4] => [4,1,5,3,6,2,7] => [7,1,4,3,5,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,3,5,4,1] => [1,4,5,3,6,2,7] => [7,4,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,3,5] => [5,3,1,4,6,2,7] => [7,1,3,5,4,2,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3] => [3,5,1,4,6,2,7] => [7,3,1,5,4,2,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,1,5] => [5,1,3,4,6,2,7] => [7,1,5,4,3,2,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,3,5,1] => [1,5,3,4,6,2,7] => [7,3,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3] => [3,1,5,4,6,2,7] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,4,5,3,1] => [1,3,5,4,6,2,7] => [7,4,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,3,4] => [4,3,1,5,6,2,7] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3] => [3,4,1,5,6,2,7] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4] => [4,1,3,5,6,2,7] => [7,5,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,3,4,1] => [1,4,3,5,6,2,7] => [7,5,3,4,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,1,3] => [3,1,4,5,6,2,7] => [7,5,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,5,4,3,1] => [1,3,4,5,6,2,7] => [7,5,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => [7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,6,5] => [5,6,4,2,1,3,7] => [7,5,1,2,4,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,4,6] => [6,4,5,2,1,3,7] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,6,4] => [4,6,5,2,1,3,7] => [7,4,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,4,5] => [5,4,6,2,1,3,7] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,5,4] => [4,5,6,2,1,3,7] => [7,5,4,1,2,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,5,6] => [6,5,2,4,1,3,7] => [7,2,5,6,1,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,6,5] => [5,6,2,4,1,3,7] => [7,5,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,5,2,6] => [6,2,5,4,1,3,7] => [7,2,6,1,4,5,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,5,6,2] => [2,6,5,4,1,3,7] => [7,2,1,4,5,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,2,5] => [5,2,6,4,1,3,7] => [7,2,5,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,5,2] => [2,5,6,4,1,3,7] => [7,5,2,1,4,6,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,2,4,6] => [6,4,2,5,1,3,7] => [7,2,4,6,1,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,5,2,6,4] => [4,6,2,5,1,3,7] => [7,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,4,2,6] => [6,2,4,5,1,3,7] => [7,2,6,4,1,5,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,4,6,2] => [2,6,4,5,1,3,7] => [7,4,6,2,1,5,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,2,4] => [4,2,6,5,1,3,7] => [7,2,4,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,4,2] => [2,4,6,5,1,3,7] => [7,4,2,1,5,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,4,5] => [5,4,2,6,1,3,7] => [7,2,4,5,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,6,2,5,4] => [4,5,2,6,1,3,7] => [7,4,2,5,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,6,4,2,5] => [5,2,4,6,1,3,7] => [7,2,5,4,1,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,6,4,5,2] => [2,5,4,6,1,3,7] => [7,4,5,2,1,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,2,4] => [4,2,5,6,1,3,7] => [7,5,2,4,1,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,4,2] => [2,4,5,6,1,3,7] => [7,5,4,2,1,6,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => [7,1,4,5,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,6,5] => [5,6,4,1,2,3,7] => [7,5,1,4,6,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,4,6] => [6,4,5,1,2,3,7] => [7,4,6,1,5,3,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,6,4] => [4,6,5,1,2,3,7] => [7,4,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,6,4,5] => [5,4,6,1,2,3,7] => [7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,6,5,4] => [4,5,6,1,2,3,7] => [7,5,4,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,4,1,6,5] => [5,6,1,4,2,3,7] => [7,5,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => [7,2,4,5,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,1,5] => [5,1,6,4,2,3,7] => [7,1,5,2,4,6,3] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,5,1] => [1,5,6,4,2,3,7] => [7,5,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,4,6] => [6,4,1,5,2,3,7] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,6,4] => [4,6,1,5,2,3,7] => [7,4,1,6,2,5,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,5,4,1,6] => [6,1,4,5,2,3,7] => [7,1,6,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1] => [1,6,4,5,2,3,7] => [7,4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,1,4] => [4,1,6,5,2,3,7] => [7,1,4,2,5,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1] => [1,4,6,5,2,3,7] => [7,4,2,5,6,3,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,4,5] => [5,4,1,6,2,3,7] => [7,1,4,5,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,5,4] => [4,5,1,6,2,3,7] => [7,4,1,5,2,6,3] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,1,5] => [5,1,4,6,2,3,7] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,4,5,1] => [1,5,4,6,2,3,7] => [7,4,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,5,1,4] => [4,1,5,6,2,3,7] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1] => [1,4,5,6,2,3,7] => [7,5,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => [7,1,2,5,6,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,1,2,6,5] => [5,6,2,1,4,3,7] => [7,5,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,5,2,6] => [6,2,5,1,4,3,7] => [7,2,6,1,5,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,5,6,2] => [2,6,5,1,4,3,7] => [7,2,1,5,6,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,1,6,2,5] => [5,2,6,1,4,3,7] => [7,2,5,1,6,3,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,5,2] => [2,5,6,1,4,3,7] => [7,5,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => [7,1,5,6,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,6,5] => [5,6,1,2,4,3,7] => [7,5,1,6,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => [7,2,5,6,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,1,5] => [5,1,6,2,4,3,7] => [7,1,5,2,6,3,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,5,1] => [1,5,6,2,4,3,7] => [7,5,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,1,6,2] => [2,6,1,5,4,3,7] => [7,2,1,6,3,4,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => [7,1,6,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => [7,2,6,3,4,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => [7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,2,5] => [5,2,1,6,4,3,7] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,1,5,2] => [2,5,1,6,4,3,7] => [7,2,1,5,3,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,2,1,5] => [5,1,2,6,4,3,7] => [7,1,5,3,4,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,2,5,1] => [1,5,2,6,4,3,7] => [7,2,5,3,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,6,5,1,2] => [2,1,5,6,4,3,7] => [7,5,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,4,6,5,2,1] => [1,2,5,6,4,3,7] => [7,5,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,4,6] => [6,4,2,1,5,3,7] => [7,1,2,4,6,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,6,4] => [4,6,2,1,5,3,7] => [7,4,1,2,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,2,6] => [6,2,4,1,5,3,7] => [7,2,6,1,4,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,6,2] => [2,6,4,1,5,3,7] => [7,2,1,4,6,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,2,4] => [4,2,6,1,5,3,7] => [7,2,4,1,6,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,1,6,4,2] => [2,4,6,1,5,3,7] => [7,4,2,1,6,3,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,2,1,4,6] => [6,4,1,2,5,3,7] => [7,1,4,6,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4] => [4,6,1,2,5,3,7] => [7,4,1,6,3,5,2] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6] => [6,1,4,2,5,3,7] => [7,1,6,2,4,3,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1] => [1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4] => [4,1,6,2,5,3,7] => [7,1,4,2,6,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,2,6,4,1] => [1,4,6,2,5,3,7] => [7,4,2,6,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6] => [6,2,1,4,5,3,7] => [7,1,2,6,4,3,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,6,2] => [2,6,1,4,5,3,7] => [7,2,1,6,4,3,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,1,6] => [6,1,2,4,5,3,7] => [7,1,6,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1] => [1,6,2,4,5,3,7] => [7,2,6,4,3,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2] => [2,1,6,4,5,3,7] => [7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,4,6,2,1] => [1,2,6,4,5,3,7] => [7,4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,1,2,4] => [4,2,1,6,5,3,7] => [7,1,2,4,3,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,1,4,2] => [2,4,1,6,5,3,7] => [7,2,1,4,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,3,5,6,2,1,4] => [4,1,2,6,5,3,7] => [7,1,4,3,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,2,4,1] => [1,4,2,6,5,3,7] => [7,2,4,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,1,2] => [2,1,4,6,5,3,7] => [7,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,5,6,4,2,1] => [1,2,4,6,5,3,7] => [7,4,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,4,5] => [5,4,2,1,6,3,7] => [7,1,2,4,5,3,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,5,4] => [4,5,2,1,6,3,7] => [7,4,1,2,5,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,2,5] => [5,2,4,1,6,3,7] => [7,2,5,1,4,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,4,5,2] => [2,5,4,1,6,3,7] => [7,2,1,4,5,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,2,4] => [4,2,5,1,6,3,7] => [7,2,4,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,1,5,4,2] => [2,4,5,1,6,3,7] => [7,4,2,1,5,3,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,4,5] => [5,4,1,2,6,3,7] => [7,1,4,5,3,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4] => [4,5,1,2,6,3,7] => [7,4,1,5,3,6,2] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5] => [5,1,4,2,6,3,7] => [7,1,5,2,4,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1] => [1,5,4,2,6,3,7] => [7,2,4,5,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4] => [4,1,5,2,6,3,7] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,4,1] => [1,4,5,2,6,3,7] => [7,4,2,5,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,2,5] => [5,2,1,4,6,3,7] => [7,1,2,5,4,3,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,1,5,2] => [2,5,1,4,6,3,7] => [7,2,1,5,4,3,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,2,1,5] => [5,1,2,4,6,3,7] => [7,1,5,4,3,6,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,2,5,1] => [1,5,2,4,6,3,7] => [7,2,5,4,3,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,4,5,1,2] => [2,1,5,4,6,3,7] => [7,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,4,5,2,1] => [1,2,5,4,6,3,7] => [7,4,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,2,4] => [4,2,1,5,6,3,7] => [7,5,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,1,4,2] => [2,4,1,5,6,3,7] => [7,5,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,2,1,4] => [4,1,2,5,6,3,7] => [7,5,1,4,3,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,2,4,1] => [1,4,2,5,6,3,7] => [7,5,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,5,4,1,2] => [2,1,4,5,6,3,7] => [7,5,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,6,5,4,2,1] => [1,2,4,5,6,3,7] => [7,5,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5] => [5,6,3,2,1,4,7] => [7,5,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,5,3,6] => [6,3,5,2,1,4,7] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,5,6,3] => [3,6,5,2,1,4,7] => [7,3,1,2,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,2,6,3,5] => [5,3,6,2,1,4,7] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,5,3] => [3,5,6,2,1,4,7] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,5,6] => [6,5,2,3,1,4,7] => [7,2,5,6,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,6,5] => [5,6,2,3,1,4,7] => [7,5,2,6,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,2,6] => [6,2,5,3,1,4,7] => [7,2,6,1,3,5,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2] => [2,6,5,3,1,4,7] => [7,2,1,3,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,2,5] => [5,2,6,3,1,4,7] => [7,2,5,1,3,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2] => [2,5,6,3,1,4,7] => [7,5,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6] => [6,3,2,5,1,4,7] => [7,2,3,6,1,5,4] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3] => [3,6,2,5,1,4,7] => [7,3,2,6,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,3,2,6] => [6,2,3,5,1,4,7] => [7,2,6,3,1,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,3,6,2] => [2,6,3,5,1,4,7] => [7,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3] => [3,2,6,5,1,4,7] => [7,2,3,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,5,6,3,2] => [2,3,6,5,1,4,7] => [7,3,2,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,6,2,3,5] => [5,3,2,6,1,4,7] => [7,2,3,5,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,5,3] => [3,5,2,6,1,4,7] => [7,3,2,5,1,6,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,1,6,3,2,5] => [5,2,3,6,1,4,7] => [7,2,5,3,1,6,4] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,5,2] => [2,5,3,6,1,4,7] => [7,3,5,2,1,6,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,2,3] => [3,2,5,6,1,4,7] => [7,5,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,3,2] => [2,3,5,6,1,4,7] => [7,5,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => [7,1,3,5,6,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,3,6,5] => [5,6,3,1,2,4,7] => [7,5,1,3,6,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,3,6] => [6,3,5,1,2,4,7] => [7,3,6,1,5,4,2] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,6,3] => [3,6,5,1,2,4,7] => [7,3,1,5,6,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,3,5] => [5,3,6,1,2,4,7] => [7,3,5,1,6,4,2] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,5,3] => [3,5,6,1,2,4,7] => [7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => [7,1,5,6,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,6,5] => [5,6,1,3,2,4,7] => [7,5,1,6,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => [7,1,6,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => [7,2,3,5,6,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5] => [5,1,6,3,2,4,7] => [7,1,5,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,5,1] => [1,5,6,3,2,4,7] => [7,5,2,3,6,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,3,6] => [6,3,1,5,2,4,7] => [7,1,3,6,2,5,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3] => [3,6,1,5,2,4,7] => [7,3,1,6,2,5,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,5,3,1,6] => [6,1,3,5,2,4,7] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,6,1] => [1,6,3,5,2,4,7] => [7,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,1,3] => [3,1,6,5,2,4,7] => [7,1,3,2,5,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,3,1] => [1,3,6,5,2,4,7] => [7,3,2,5,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,3,5] => [5,3,1,6,2,4,7] => [7,1,3,5,2,6,4] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,6,1,5,3] => [3,5,1,6,2,4,7] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,2,6,3,1,5] => [5,1,3,6,2,4,7] => [7,1,5,3,2,6,4] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,3,5,1] => [1,5,3,6,2,4,7] => [7,3,5,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3] => [3,1,5,6,2,4,7] => [7,5,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,3,1] => [1,3,5,6,2,4,7] => [7,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => [7,1,2,5,6,4,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5] => [5,6,2,1,3,4,7] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,5,2,6] => [6,2,5,1,3,4,7] => [7,2,6,1,5,4,3] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,5,6,2] => [2,6,5,1,3,4,7] => [7,2,1,5,6,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,2,5] => [5,2,6,1,3,4,7] => [7,2,5,1,6,4,3] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,5,2] => [2,5,6,1,3,4,7] => [7,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => [7,1,5,6,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,6,5] => [5,6,1,2,3,4,7] => [7,5,1,6,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => [7,1,6,2,5,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => [7,2,5,6,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,1,5] => [5,1,6,2,3,4,7] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,5,1] => [1,5,6,2,3,4,7] => [7,5,2,6,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => [7,1,2,6,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,6,2] => [2,6,1,5,3,4,7] => [7,2,1,6,3,5,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => [7,1,6,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => [7,2,6,3,5,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => [7,3,5,6,4,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => [7,3,5,6,4,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,2,5] => [5,2,1,6,3,4,7] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,5,2] => [2,5,1,6,3,4,7] => [7,2,1,5,3,6,4] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,2,1,5] => [5,1,2,6,3,4,7] => [7,1,5,3,6,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1] => [1,5,2,6,3,4,7] => [7,2,5,3,6,4,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,6,5,1,2] => [2,1,5,6,3,4,7] => [7,5,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,3,6,5,2,1] => [1,2,5,6,3,4,7] => [7,5,3,6,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,2,6,3] => [3,6,2,1,5,4,7] => [7,3,1,2,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,2,6] => [6,2,3,1,5,4,7] => [7,2,6,4,5,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,3,6,2] => [2,6,3,1,5,4,7] => [7,2,1,3,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,6,2,3] => [3,2,6,1,5,4,7] => [7,2,3,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,5,1,6,3,2] => [2,3,6,1,5,4,7] => [7,3,2,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => [7,1,3,6,4,5,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,6,3] => [3,6,1,2,5,4,7] => [7,3,1,6,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => [7,1,6,4,5,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => [7,2,3,6,4,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,6,1,3] => [3,1,6,2,5,4,7] => [7,1,3,2,6,4,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,6,3,1] => [1,3,6,2,5,4,7] => [7,3,2,6,4,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,1,6,2] => [2,6,1,3,5,4,7] => [7,2,1,6,4,5,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => [7,1,6,4,5,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => [7,2,6,4,5,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => [7,3,6,4,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => [7,3,6,4,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => [7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,6,1,3,2] => [2,3,1,6,5,4,7] => [7,4,5,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => [7,4,5,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => [7,4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => [7,4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,2,3,5] => [5,3,2,1,6,4,7] => [7,1,2,3,5,4,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,2,5,3] => [3,5,2,1,6,4,7] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,3,2,5] => [5,2,3,1,6,4,7] => [7,2,5,4,6,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,1,3,5,2] => [2,5,3,1,6,4,7] => [7,2,1,3,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,6,1,5,2,3] => [3,2,5,1,6,4,7] => [7,2,3,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,5,3,2] => [2,3,5,1,6,4,7] => [7,3,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,3,5] => [5,3,1,2,6,4,7] => [7,1,3,5,4,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,5,3] => [3,5,1,2,6,4,7] => [7,3,1,5,4,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,3,1,5] => [5,1,3,2,6,4,7] => [7,1,5,4,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,5,1] => [1,5,3,2,6,4,7] => [7,2,3,5,4,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,5,1,3] => [3,1,5,2,6,4,7] => [7,1,3,2,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,6,2,5,3,1] => [1,3,5,2,6,4,7] => [7,3,2,5,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,1,2,5] => [5,2,1,3,6,4,7] => [7,1,2,5,4,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,1,5,2] => [2,5,1,3,6,4,7] => [7,2,1,5,4,6,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,2,1,5] => [5,1,2,3,6,4,7] => [7,1,5,4,6,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,2,5,1] => [1,5,2,3,6,4,7] => [7,2,5,4,6,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,3,5,1,2] => [2,1,5,3,6,4,7] => [7,3,5,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,4,6,3,5,2,1] => [1,2,5,3,6,4,7] => [7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,1,2,3] => [3,2,1,5,6,4,7] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,1,3,2] => [2,3,1,5,6,4,7] => [7,5,4,6,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,2,1,3] => [3,1,2,5,6,4,7] => [7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,2,3,1] => [1,3,2,5,6,4,7] => [7,5,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,3,1,2] => [2,1,3,5,6,4,7] => [7,5,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,5,3,2,1] => [1,2,3,5,6,4,7] => [7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => [7,1,2,3,4,6,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,3,6,4] => [4,6,3,2,1,5,7] => [7,4,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,4,3,6] => [6,3,4,2,1,5,7] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,4,6,3] => [3,6,4,2,1,5,7] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,6,3,4] => [4,3,6,2,1,5,7] => [7,3,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,2,6,4,3] => [3,4,6,2,1,5,7] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,2,4,6] => [6,4,2,3,1,5,7] => [7,2,4,6,5,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,1,3,2,6,4] => [4,6,2,3,1,5,7] => [7,4,2,6,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,2,6] => [6,2,4,3,1,5,7] => [7,2,6,5,1,3,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2] => [2,6,4,3,1,5,7] => [7,2,1,3,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,1,3,6,2,4] => [4,2,6,3,1,5,7] => [7,2,4,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,4,2] => [2,4,6,3,1,5,7] => [7,4,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,3,6] => [6,3,2,4,1,5,7] => [7,2,3,6,5,1,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,6,3] => [3,6,2,4,1,5,7] => [7,3,2,6,5,1,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,3,2,6] => [6,2,3,4,1,5,7] => [7,2,6,5,3,1,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,3,6,2] => [2,6,3,4,1,5,7] => [7,3,6,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,2,3] => [3,2,6,4,1,5,7] => [7,2,3,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,3,2] => [2,3,6,4,1,5,7] => [7,3,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,2,3,4] => [4,3,2,6,1,5,7] => [7,2,3,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,2,4,3] => [3,4,2,6,1,5,7] => [7,3,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,2,4] => [4,2,3,6,1,5,7] => [7,2,4,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,4,2] => [2,4,3,6,1,5,7] => [7,3,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,4,2,3] => [3,2,4,6,1,5,7] => [7,4,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,4,3,2] => [2,3,4,6,1,5,7] => [7,4,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => [7,1,3,4,6,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4] => [4,6,3,1,2,5,7] => [7,4,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,3,6] => [6,3,4,1,2,5,7] => [7,3,6,5,1,4,2] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,6,3] => [3,6,4,1,2,5,7] => [7,3,1,4,6,5,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4] => [4,3,6,1,2,5,7] => [7,3,4,1,6,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,4,3] => [3,4,6,1,2,5,7] => [7,4,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => [7,1,4,6,5,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,2,3,1,6,4] => [4,6,1,3,2,5,7] => [7,4,1,6,5,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => [7,2,3,4,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,6,1,4] => [4,1,6,3,2,5,7] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,6,4,1] => [1,4,6,3,2,5,7] => [7,4,2,3,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,3,6] => [6,3,1,4,2,5,7] => [7,1,3,6,5,2,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3] => [3,6,1,4,2,5,7] => [7,3,1,6,5,2,4] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,1,6] => [6,1,3,4,2,5,7] => [7,1,6,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1] => [1,6,3,4,2,5,7] => [7,3,6,5,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,6,1,3] => [3,1,6,4,2,5,7] => [7,1,3,2,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,2,4,6,3,1] => [1,3,6,4,2,5,7] => [7,3,2,4,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,3,4] => [4,3,1,6,2,5,7] => [7,1,3,4,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,4,3] => [3,4,1,6,2,5,7] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,3,1,4] => [4,1,3,6,2,5,7] => [7,1,4,3,2,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,3,4,1] => [1,4,3,6,2,5,7] => [7,3,4,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,4,1,3] => [3,1,4,6,2,5,7] => [7,4,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,4,3,1] => [1,3,4,6,2,5,7] => [7,4,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => [7,1,2,4,6,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4] => [4,6,2,1,3,5,7] => [7,4,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,4,2,6] => [6,2,4,1,3,5,7] => [7,2,6,5,1,4,3] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2] => [2,6,4,1,3,5,7] => [7,2,1,4,6,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,2,4] => [4,2,6,1,3,5,7] => [7,2,4,1,6,5,3] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,1,6,4,2] => [2,4,6,1,3,5,7] => [7,4,2,1,6,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => [7,1,4,6,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,6,4] => [4,6,1,2,3,5,7] => [7,4,1,6,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => [7,1,6,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4] => [4,1,6,2,3,5,7] => [7,1,4,2,6,5,3] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,4,1] => [1,4,6,2,3,5,7] => [7,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,1,6,2] => [2,6,1,4,3,5,7] => [7,2,1,6,5,3,4] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => [7,1,6,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => [7,2,6,5,3,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => [7,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => [7,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,1,2,4] => [4,2,1,6,3,5,7] => [7,1,2,4,3,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,3,6,1,4,2] => [2,4,1,6,3,5,7] => [7,2,1,4,3,6,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,6,2,1,4] => [4,1,2,6,3,5,7] => [7,1,4,3,6,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,2,4,1] => [1,4,2,6,3,5,7] => [7,2,4,3,6,5,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,6,4,1,2] => [2,1,4,6,3,5,7] => [7,4,3,6,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,3,6,4,2,1] => [1,2,4,6,3,5,7] => [7,4,3,6,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => [7,1,2,3,6,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,2,6,3] => [3,6,2,1,4,5,7] => [7,3,1,2,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,4,1,3,2,6] => [6,2,3,1,4,5,7] => [7,2,6,5,4,1,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,3,6,2] => [2,6,3,1,4,5,7] => [7,2,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,2,3] => [3,2,6,1,4,5,7] => [7,2,3,1,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,5,4,1,6,3,2] => [2,3,6,1,4,5,7] => [7,3,2,1,6,5,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => [7,1,3,6,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3] => [3,6,1,2,4,5,7] => [7,3,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => [7,2,3,6,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,6,1,3] => [3,1,6,2,4,5,7] => [7,1,3,2,6,5,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,6,3,1] => [1,3,6,2,4,5,7] => [7,3,2,6,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => [7,1,2,6,5,4,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,1,6,2] => [2,6,1,3,4,5,7] => [7,2,1,6,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => [7,1,6,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => [7,3,6,5,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => [7,3,6,5,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,1,3,2] => [2,3,1,6,4,5,7] => [7,4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => [7,4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => [7,4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => [7,4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => [7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,2,4,3] => [3,4,2,1,6,5,7] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,2,4] => [4,2,3,1,6,5,7] => [7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,3,4,2] => [2,4,3,1,6,5,7] => [7,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,2,3] => [3,2,4,1,6,5,7] => [7,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,1,4,3,2] => [2,3,4,1,6,5,7] => [7,5,6,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => [7,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,1,4,3] => [3,4,1,2,6,5,7] => [7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => [7,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => [7,5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,2,4,1,3] => [3,1,4,2,6,5,7] => [7,5,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,2,4,3,1] => [1,3,4,2,6,5,7] => [7,5,6,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => [7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,1,4,2] => [2,4,1,3,6,5,7] => [7,5,6,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => [7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => [7,5,6,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,1,3,2] => [2,3,1,4,6,5,7] => [7,5,6,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => [7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,3,5,4] => [4,5,3,2,1,6,7] => [7,6,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,4,3,5] => [5,3,4,2,1,6,7] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,4,5,3] => [3,5,4,2,1,6,7] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,3,4] => [4,3,5,2,1,6,7] => [7,6,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,4,3] => [3,4,5,2,1,6,7] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,2,4,5] => [5,4,2,3,1,6,7] => [7,6,2,4,5,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,2,5,4] => [4,5,2,3,1,6,7] => [7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,2,5] => [5,2,4,3,1,6,7] => [7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2] => [2,5,4,3,1,6,7] => [7,6,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,2,4] => [4,2,5,3,1,6,7] => [7,6,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,4,2] => [2,4,5,3,1,6,7] => [7,6,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,3,5] => [5,3,2,4,1,6,7] => [7,6,2,3,5,1,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,5,3] => [3,5,2,4,1,6,7] => [7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,3,2,5] => [5,2,3,4,1,6,7] => [7,6,2,5,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,3,5,2] => [2,5,3,4,1,6,7] => [7,6,3,5,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,2,3] => [3,2,5,4,1,6,7] => [7,6,2,3,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,3,2] => [2,3,5,4,1,6,7] => [7,6,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,3,4] => [4,3,2,5,1,6,7] => [7,6,2,3,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,4,3] => [3,4,2,5,1,6,7] => [7,6,3,2,4,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,2,4] => [4,2,3,5,1,6,7] => [7,6,2,4,3,1,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2] => [2,4,3,5,1,6,7] => [7,6,3,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,2,3] => [3,2,4,5,1,6,7] => [7,6,4,2,3,1,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,4,3,2] => [2,3,4,5,1,6,7] => [7,6,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => [7,6,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,5,4] => [4,5,3,1,2,6,7] => [7,6,4,1,3,5,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,3,5] => [5,3,4,1,2,6,7] => [7,6,3,5,1,4,2] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,5,3] => [3,5,4,1,2,6,7] => [7,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,3,4] => [4,3,5,1,2,6,7] => [7,6,3,4,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,4,3] => [3,4,5,1,2,6,7] => [7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => [7,6,1,4,5,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,5,4] => [4,5,1,3,2,6,7] => [7,6,4,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,1,4] => [4,1,5,3,2,6,7] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,5,4,1] => [1,4,5,3,2,6,7] => [7,6,4,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,3,5] => [5,3,1,4,2,6,7] => [7,6,1,3,5,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3] => [3,5,1,4,2,6,7] => [7,6,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5] => [5,1,3,4,2,6,7] => [7,6,1,5,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1] => [1,5,3,4,2,6,7] => [7,6,3,5,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,5,1,3] => [3,1,5,4,2,6,7] => [7,6,1,3,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,5,3,1] => [1,3,5,4,2,6,7] => [7,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,3,4] => [4,3,1,5,2,6,7] => [7,6,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3] => [3,4,1,5,2,6,7] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,1,4] => [4,1,3,5,2,6,7] => [7,6,1,4,3,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,3,4,1] => [1,4,3,5,2,6,7] => [7,6,3,4,2,5,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,1,3] => [3,1,4,5,2,6,7] => [7,6,4,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,5,4,3,1] => [1,3,4,5,2,6,7] => [7,6,4,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4] => [4,5,2,1,3,6,7] => [7,6,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,4,2,5] => [5,2,4,1,3,6,7] => [7,6,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,4,5,2] => [2,5,4,1,3,6,7] => [7,6,2,1,4,5,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,2,4] => [4,2,5,1,3,6,7] => [7,6,2,4,1,5,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2] => [2,4,5,1,3,6,7] => [7,6,4,2,1,5,3] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => [7,6,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,5,4] => [4,5,1,2,3,6,7] => [7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => [7,6,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => [7,6,2,4,5,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,1,4] => [4,1,5,2,3,6,7] => [7,6,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,4,1] => [1,4,5,2,3,6,7] => [7,6,4,2,5,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,1,5,2] => [2,5,1,4,3,6,7] => [7,6,2,1,5,3,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => [7,6,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => [7,6,2,5,3,4,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => [7,6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,2,4] => [4,2,1,5,3,6,7] => [7,6,1,2,4,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,1,4,2] => [2,4,1,5,3,6,7] => [7,6,2,1,4,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,2,1,4] => [4,1,2,5,3,6,7] => [7,6,1,4,3,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,2,4,1] => [1,4,2,5,3,6,7] => [7,6,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,4,1,2] => [2,1,4,5,3,6,7] => [7,6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,5,4,2,1] => [1,2,4,5,3,6,7] => [7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => [7,6,1,2,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,2,5,3] => [3,5,2,1,4,6,7] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,3,2,5] => [5,2,3,1,4,6,7] => [7,6,2,5,4,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,3,5,2] => [2,5,3,1,4,6,7] => [7,6,2,1,3,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,2,3] => [3,2,5,1,4,6,7] => [7,6,2,3,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,3,2] => [2,3,5,1,4,6,7] => [7,6,3,2,1,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => [7,6,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3] => [3,5,1,2,4,6,7] => [7,6,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => [7,6,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,5,1,3] => [3,1,5,2,4,6,7] => [7,6,1,3,2,5,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,5,3,1] => [1,3,5,2,4,6,7] => [7,6,3,2,5,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => [7,6,1,2,5,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,1,5,2] => [2,5,1,3,4,6,7] => [7,6,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => [7,6,1,5,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => [7,6,2,5,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => [7,6,3,5,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,1,3,2] => [2,3,1,5,4,6,7] => [7,6,4,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => [7,6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,2,4,3] => [3,4,2,1,5,6,7] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,3,2,4] => [4,2,3,1,5,6,7] => [7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,3,4,2] => [2,4,3,1,5,6,7] => [7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,2,3] => [3,2,4,1,5,6,7] => [7,6,5,2,3,1,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,3,2] => [2,3,4,1,5,6,7] => [7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => [7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,4,3] => [3,4,1,2,5,6,7] => [7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,1,3] => [3,1,4,2,5,6,7] => [7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,2,4,3,1] => [1,3,4,2,5,6,7] => [7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => [7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,1,4,2] => [2,4,1,3,5,6,7] => [7,6,5,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => [7,6,5,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => [7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,1,3,2] => [2,3,1,4,5,6,7] => [7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => [7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
weak order rowmotion
Description
Return the reversal of the permutation obtained by inverting the corresponding Laguerre heap.
This map is the composite of Mp00241invert Laguerre heap and Mp00064reverse.
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
This map is the composite of Mp00241invert Laguerre heap and Mp00064reverse.
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
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