Identifier
-
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00152: Graphs —Laplacian multiplicities⟶ Integer compositions
St000383: Integer compositions ⟶ ℤ
Values
[1] => [1] => ([],1) => [1] => 1
[1,2] => [2,1] => ([(0,1)],2) => [1,1] => 1
[2,1] => [1,2] => ([],2) => [2] => 2
[1,2,3] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => [2,1] => 1
[1,3,2] => [2,3,1] => ([(0,2),(1,2)],3) => [1,1,1] => 1
[2,1,3] => [3,1,2] => ([(0,2),(1,2)],3) => [1,1,1] => 1
[2,3,1] => [1,3,2] => ([(1,2)],3) => [1,2] => 2
[3,1,2] => [2,1,3] => ([(1,2)],3) => [1,2] => 2
[3,2,1] => [1,2,3] => ([],3) => [3] => 3
[1,2,3,4] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [3,1] => 1
[1,2,4,3] => [3,4,2,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => 1
[1,3,2,4] => [4,2,3,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => 1
[1,3,4,2] => [2,4,3,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => 1
[1,4,2,3] => [3,2,4,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => 1
[1,4,3,2] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => [1,2,1] => 1
[2,1,3,4] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => 1
[2,1,4,3] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => [1,2,1] => 1
[2,3,1,4] => [4,1,3,2] => ([(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => 1
[2,3,4,1] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => [2,2] => 2
[2,4,1,3] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => [1,1,1,1] => 1
[2,4,3,1] => [1,3,4,2] => ([(1,3),(2,3)],4) => [1,1,2] => 2
[3,1,2,4] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => 1
[3,1,4,2] => [2,4,1,3] => ([(0,3),(1,2),(2,3)],4) => [1,1,1,1] => 1
[3,2,1,4] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => [1,2,1] => 1
[3,2,4,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => [1,1,2] => 2
[3,4,1,2] => [2,1,4,3] => ([(0,3),(1,2)],4) => [2,2] => 2
[3,4,2,1] => [1,2,4,3] => ([(2,3)],4) => [1,3] => 3
[4,1,2,3] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4) => [2,2] => 2
[4,1,3,2] => [2,3,1,4] => ([(1,3),(2,3)],4) => [1,1,2] => 2
[4,2,1,3] => [3,1,2,4] => ([(1,3),(2,3)],4) => [1,1,2] => 2
[4,2,3,1] => [1,3,2,4] => ([(2,3)],4) => [1,3] => 3
[4,3,1,2] => [2,1,3,4] => ([(2,3)],4) => [1,3] => 3
[4,3,2,1] => [1,2,3,4] => ([],4) => [4] => 4
[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) => [4,1] => 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) => [3,1,1] => 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) => [3,1,1] => 1
[1,2,4,5,3] => [3,5,4,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 1
[1,2,5,3,4] => [4,3,5,2,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 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) => [2,2,1] => 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) => [3,1,1] => 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) => [2,2,1] => 1
[1,3,4,2,5] => [5,2,4,3,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 1
[1,3,4,5,2] => [2,5,4,3,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,2,1,1] => 1
[1,3,5,2,4] => [4,2,5,3,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[1,3,5,4,2] => [2,4,5,3,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[1,4,2,3,5] => [5,3,2,4,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 1
[1,4,2,5,3] => [3,5,2,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 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) => [2,2,1] => 1
[1,4,3,5,2] => [2,5,3,4,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[1,4,5,2,3] => [3,2,5,4,1] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [1,2,1,1] => 1
[1,4,5,3,2] => [2,3,5,4,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[1,5,2,3,4] => [4,3,2,5,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,2,1,1] => 1
[1,5,2,4,3] => [3,4,2,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[1,5,3,2,4] => [4,2,3,5,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[1,5,3,4,2] => [2,4,3,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[1,5,4,2,3] => [3,2,4,5,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[1,5,4,3,2] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => [1,3,1] => 1
[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) => [3,1,1] => 1
[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) => [2,2,1] => 1
[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) => [2,2,1] => 1
[2,1,4,5,3] => [3,5,4,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
[2,1,5,3,4] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
[2,1,5,4,3] => [3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,2,1] => 1
[2,3,1,4,5] => [5,4,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 1
[2,3,1,5,4] => [4,5,1,3,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
[2,3,4,1,5] => [5,1,4,3,2] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,2,1,1] => 1
[2,3,4,5,1] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,2] => 2
[2,3,5,1,4] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,3,5,4,1] => [1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[2,4,1,3,5] => [5,3,1,4,2] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,4,1,5,3] => [3,5,1,4,2] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,4,3,1,5] => [5,1,3,4,2] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,4,3,5,1] => [1,5,3,4,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[2,4,5,1,3] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,4,5,3,1] => [1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[2,5,1,3,4] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,5,1,4,3] => [3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,5,3,1,4] => [4,1,3,5,2] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[2,5,3,4,1] => [1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[2,5,4,1,3] => [3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5) => [1,1,1,1,1] => 1
[2,5,4,3,1] => [1,3,4,5,2] => ([(1,4),(2,4),(3,4)],5) => [1,2,2] => 2
[3,1,2,4,5] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => 1
[3,1,2,5,4] => [4,5,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
[3,1,4,2,5] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,1,4,5,2] => [2,5,4,1,3] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,1,5,2,4] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,1,5,4,2] => [2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[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) => [2,2,1] => 1
[3,2,1,5,4] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [1,1,2,1] => 1
[3,2,4,1,5] => [5,1,4,2,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,2,4,5,1] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[3,2,5,1,4] => [4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,2,5,4,1] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => [1,2,2] => 2
[3,4,1,2,5] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [1,2,1,1] => 1
[3,4,1,5,2] => [2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,4,2,1,5] => [5,1,2,4,3] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[3,4,2,5,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[3,4,5,1,2] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[3,4,5,2,1] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => [2,3] => 3
[3,5,1,2,4] => [4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[3,5,1,4,2] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
>>> Load all 11033 entries. <<<[3,5,2,1,4] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => [1,1,1,1,1] => 1
[3,5,2,4,1] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => [1,1,1,2] => 2
[3,5,4,1,2] => [2,1,4,5,3] => ([(0,1),(2,4),(3,4)],5) => [1,1,1,2] => 2
[3,5,4,2,1] => [1,2,4,5,3] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[4,1,2,3,5] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,2,1,1] => 1
[4,1,2,5,3] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,1,3,2,5] => [5,2,3,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,1,3,5,2] => [2,5,3,1,4] => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,1,5,2,3] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,1,5,3,2] => [2,3,5,1,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => [1,1,1,1,1] => 1
[4,2,1,3,5] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,2,1,5,3] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [1,1,1,1,1] => 1
[4,2,3,1,5] => [5,1,3,2,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[4,2,3,5,1] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[4,2,5,1,3] => [3,1,5,2,4] => ([(0,4),(1,3),(2,3),(2,4)],5) => [1,1,1,1,1] => 1
[4,2,5,3,1] => [1,3,5,2,4] => ([(1,4),(2,3),(3,4)],5) => [1,1,1,2] => 2
[4,3,1,2,5] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,2,1] => 1
[4,3,1,5,2] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5) => [1,1,1,1,1] => 1
[4,3,2,1,5] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => [1,3,1] => 1
[4,3,2,5,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => [1,2,2] => 2
[4,3,5,1,2] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => [1,1,1,2] => 2
[4,3,5,2,1] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[4,5,1,2,3] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[4,5,1,3,2] => [2,3,1,5,4] => ([(0,1),(2,4),(3,4)],5) => [1,1,1,2] => 2
[4,5,2,1,3] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => [1,1,1,2] => 2
[4,5,2,3,1] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => [2,3] => 3
[4,5,3,1,2] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => [2,3] => 3
[4,5,3,2,1] => [1,2,3,5,4] => ([(3,4)],5) => [1,4] => 4
[5,1,2,3,4] => [4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,2] => 2
[5,1,2,4,3] => [3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[5,1,3,2,4] => [4,2,3,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[5,1,3,4,2] => [2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[5,1,4,2,3] => [3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[5,1,4,3,2] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => [1,2,2] => 2
[5,2,1,3,4] => [4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,2] => 2
[5,2,1,4,3] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => [1,2,2] => 2
[5,2,3,1,4] => [4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[5,2,3,4,1] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => [2,3] => 3
[5,2,4,1,3] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => [1,1,1,2] => 2
[5,2,4,3,1] => [1,3,4,2,5] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[5,3,1,2,4] => [4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,2] => 2
[5,3,1,4,2] => [2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5) => [1,1,1,2] => 2
[5,3,2,1,4] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => [1,2,2] => 2
[5,3,2,4,1] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[5,3,4,1,2] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => [2,3] => 3
[5,3,4,2,1] => [1,2,4,3,5] => ([(3,4)],5) => [1,4] => 4
[5,4,1,2,3] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => [2,3] => 3
[5,4,1,3,2] => [2,3,1,4,5] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[5,4,2,1,3] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => [1,1,3] => 3
[5,4,2,3,1] => [1,3,2,4,5] => ([(3,4)],5) => [1,4] => 4
[5,4,3,1,2] => [2,1,3,4,5] => ([(3,4)],5) => [1,4] => 4
[5,4,3,2,1] => [1,2,3,4,5] => ([],5) => [5] => 5
[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) => [5,1] => 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) => [4,1,1] => 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) => [4,1,1] => 1
[1,2,3,5,6,4] => [4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => 1
[1,2,3,6,4,5] => [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) => [3,1,1,1] => 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) => [3,2,1] => 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) => [4,1,1] => 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) => [3,2,1] => 1
[1,2,4,5,3,6] => [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) => [3,1,1,1] => 1
[1,2,4,5,6,3] => [3,6,5,4,2,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => 1
[1,2,4,6,3,5] => [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) => [2,1,1,1,1] => 1
[1,2,4,6,5,3] => [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) => [2,1,1,1,1] => 1
[1,2,5,3,4,6] => [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) => [3,1,1,1] => 1
[1,2,5,3,6,4] => [4,6,3,5,2,1] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => 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) => [3,2,1] => 1
[1,2,5,4,6,3] => [3,6,4,5,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => 1
[1,2,5,6,3,4] => [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) => [2,2,1,1] => 1
[1,2,5,6,4,3] => [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) => [2,1,2,1] => 1
[1,2,6,3,4,5] => [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) => [2,2,1,1] => 1
[1,2,6,3,5,4] => [4,5,3,6,2,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => 1
[1,2,6,4,3,5] => [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) => [2,1,1,1,1] => 1
[1,2,6,4,5,3] => [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) => [2,1,2,1] => 1
[1,2,6,5,3,4] => [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) => [2,1,2,1] => 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) => [2,3,1] => 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) => [4,1,1] => 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) => [3,2,1] => 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) => [3,2,1] => 1
[1,3,2,5,6,4] => [4,6,5,2,3,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,1,1,1,1] => 1
[1,3,2,6,4,5] => [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) => [2,1,1,1,1] => 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) => [2,1,2,1] => 1
[1,3,4,2,5,6] => [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) => [3,1,1,1] => 1
[1,3,4,2,6,5] => [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) => [2,1,1,1,1] => 1
[1,3,4,5,2,6] => [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) => [2,2,1,1] => 1
[1,3,4,5,6,2] => [2,6,5,4,3,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,3,1,1] => 1
[1,3,4,6,2,5] => [5,2,6,4,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,4,6,5,2] => [2,5,6,4,3,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,3,5,2,4,6] => [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) => [2,1,1,1,1] => 1
[1,3,5,2,6,4] => [4,6,2,5,3,1] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,5,4,2,6] => [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) => [2,1,1,1,1] => 1
[1,3,5,4,6,2] => [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) => [1,2,1,1,1] => 1
[1,3,5,6,2,4] => [4,2,6,5,3,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,5,6,4,2] => [2,4,6,5,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,2,4,5] => [5,4,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,2,5,4] => [4,5,2,6,3,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,4,2,5] => [5,2,4,6,3,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,4,5,2] => [2,5,4,6,3,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,5,2,4] => [4,2,5,6,3,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,3,6,5,4,2] => [2,4,5,6,3,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[1,4,2,3,5,6] => [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) => [3,1,1,1] => 1
[1,4,2,3,6,5] => [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) => [2,1,1,1,1] => 1
[1,4,2,5,3,6] => [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) => [2,1,1,1,1] => 1
[1,4,2,5,6,3] => [3,6,5,2,4,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,2,6,3,5] => [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) => [1,1,1,1,1,1] => 1
[1,4,2,6,5,3] => [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) => [1,1,1,1,1,1] => 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) => [3,2,1] => 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) => [2,1,2,1] => 1
[1,4,3,5,2,6] => [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) => [2,1,1,1,1] => 1
[1,4,3,5,6,2] => [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) => [1,2,1,1,1] => 1
[1,4,3,6,2,5] => [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) => [1,1,1,1,1,1] => 1
[1,4,3,6,5,2] => [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) => [1,1,2,1,1] => 1
[1,4,5,2,3,6] => [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) => [2,2,1,1] => 1
[1,4,5,2,6,3] => [3,6,2,5,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,5,3,2,6] => [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) => [2,1,2,1] => 1
[1,4,5,3,6,2] => [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) => [1,1,1,1,1,1] => 1
[1,4,5,6,2,3] => [3,2,6,5,4,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,4,5,6,3,2] => [2,3,6,5,4,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,4,6,2,3,5] => [5,3,2,6,4,1] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,6,2,5,3] => [3,5,2,6,4,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,6,3,2,5] => [5,2,3,6,4,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,6,3,5,2] => [2,5,3,6,4,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,6,5,2,3] => [3,2,5,6,4,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,4,6,5,3,2] => [2,3,5,6,4,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,5,2,3,4,6] => [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) => [2,2,1,1] => 1
[1,5,2,3,6,4] => [4,6,3,2,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,2,4,3,6] => [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) => [2,1,1,1,1] => 1
[1,5,2,4,6,3] => [3,6,4,2,5,1] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,2,6,3,4] => [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) => [1,1,1,1,1,1] => 1
[1,5,2,6,4,3] => [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) => [1,1,1,1,1,1] => 1
[1,5,3,2,4,6] => [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) => [2,1,1,1,1] => 1
[1,5,3,2,6,4] => [4,6,2,3,5,1] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,3,4,2,6] => [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) => [2,1,2,1] => 1
[1,5,3,4,6,2] => [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) => [1,1,1,1,1,1] => 1
[1,5,3,6,2,4] => [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) => [1,1,1,1,1,1] => 1
[1,5,3,6,4,2] => [2,4,6,3,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,4,2,3,6] => [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) => [2,1,2,1] => 1
[1,5,4,2,6,3] => [3,6,2,4,5,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 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) => [2,3,1] => 1
[1,5,4,3,6,2] => [2,6,3,4,5,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[1,5,4,6,2,3] => [3,2,6,4,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,4,6,3,2] => [2,3,6,4,5,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,5,6,2,3,4] => [4,3,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,5,6,2,4,3] => [3,4,2,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,6,3,2,4] => [4,2,3,6,5,1] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,5,6,3,4,2] => [2,4,3,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,5,6,4,2,3] => [3,2,4,6,5,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,5,6,4,3,2] => [2,3,4,6,5,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[1,6,2,3,4,5] => [5,4,3,2,6,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,3,1,1] => 1
[1,6,2,3,5,4] => [4,5,3,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,6,2,4,3,5] => [5,3,4,2,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,6,2,4,5,3] => [3,5,4,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,2,5,3,4] => [4,3,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,2,5,4,3] => [3,4,5,2,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[1,6,3,2,4,5] => [5,4,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[1,6,3,2,5,4] => [4,5,2,3,6,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[1,6,3,4,2,5] => [5,2,4,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,3,4,5,2] => [2,5,4,3,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,6,3,5,2,4] => [4,2,5,3,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,3,5,4,2] => [2,4,5,3,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,6,4,2,3,5] => [5,3,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,4,2,5,3] => [3,5,2,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[1,6,4,3,2,5] => [5,2,3,4,6,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[1,6,4,3,5,2] => [2,5,3,4,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,6,4,5,2,3] => [3,2,5,4,6,1] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,6,4,5,3,2] => [2,3,5,4,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[1,6,5,2,3,4] => [4,3,2,5,6,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[1,6,5,2,4,3] => [3,4,2,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,6,5,3,2,4] => [4,2,3,5,6,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[1,6,5,3,4,2] => [2,4,3,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[1,6,5,4,2,3] => [3,2,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[1,6,5,4,3,2] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [1,4,1] => 1
[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) => [4,1,1] => 1
[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) => [3,2,1] => 1
[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) => [3,2,1] => 1
[2,1,3,5,6,4] => [4,6,5,3,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,1,1,1,1] => 1
[2,1,3,6,4,5] => [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) => [2,1,1,1,1] => 1
[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) => [2,1,2,1] => 1
[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) => [3,2,1] => 1
[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) => [2,3,1] => 1
[2,1,4,5,3,6] => [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) => [2,1,1,1,1] => 1
[2,1,4,5,6,3] => [3,6,5,4,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => 1
[2,1,4,6,3,5] => [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) => [1,1,2,1,1] => 1
[2,1,4,6,5,3] => [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) => [1,1,1,1,1,1] => 1
[2,1,5,3,4,6] => [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) => [2,1,1,1,1] => 1
[2,1,5,3,6,4] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[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) => [2,1,2,1] => 1
[2,1,5,4,6,3] => [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) => [1,1,1,1,1,1] => 1
[2,1,5,6,3,4] => [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) => [1,3,1,1] => 1
[2,1,5,6,4,3] => [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) => [1,2,2,1] => 1
[2,1,6,3,4,5] => [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) => [1,2,1,1,1] => 1
[2,1,6,3,5,4] => [4,5,3,6,1,2] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[2,1,6,4,3,5] => [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) => [1,1,1,1,1,1] => 1
[2,1,6,4,5,3] => [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) => [1,2,2,1] => 1
[2,1,6,5,3,4] => [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) => [1,2,2,1] => 1
[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) => [1,1,3,1] => 1
[2,3,1,4,5,6] => [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) => [3,1,1,1] => 1
[2,3,1,4,6,5] => [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) => [2,1,1,1,1] => 1
[2,3,1,5,4,6] => [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) => [2,1,1,1,1] => 1
[2,3,1,5,6,4] => [4,6,5,1,3,2] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[2,3,1,6,4,5] => [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) => [1,2,2,1] => 1
[2,3,1,6,5,4] => [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) => [1,1,3,1] => 1
[2,3,4,1,5,6] => [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) => [2,2,1,1] => 1
[2,3,4,1,6,5] => [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) => [1,2,1,1,1] => 1
[2,3,4,5,1,6] => [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) => [1,3,1,1] => 1
[2,3,4,5,6,1] => [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) => [4,2] => 2
[2,3,4,6,1,5] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[2,3,4,6,5,1] => [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) => [3,1,2] => 2
[2,3,5,1,4,6] => [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) => [1,1,1,1,1,1] => 1
[2,3,5,1,6,4] => [4,6,1,5,3,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,3,5,4,1,6] => [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) => [1,2,1,1,1] => 1
[2,3,5,4,6,1] => [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) => [3,1,2] => 2
[2,3,5,6,1,4] => [4,1,6,5,3,2] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,3,5,6,4,1] => [1,4,6,5,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[2,3,6,1,4,5] => [5,4,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[2,3,6,1,5,4] => [4,5,1,6,3,2] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[2,3,6,4,1,5] => [5,1,4,6,3,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,3,6,4,5,1] => [1,5,4,6,3,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[2,3,6,5,1,4] => [4,1,5,6,3,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,3,6,5,4,1] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[2,4,1,3,5,6] => [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) => [2,1,1,1,1] => 1
[2,4,1,3,6,5] => [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) => [1,1,2,1,1] => 1
[2,4,1,5,3,6] => [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) => [1,1,1,1,1,1] => 1
[2,4,1,5,6,3] => [3,6,5,1,4,2] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,1,6,3,5] => [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) => [1,1,1,1,1,1] => 1
[2,4,1,6,5,3] => [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) => [1,1,2,1,1] => 1
[2,4,3,1,5,6] => [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) => [2,1,1,1,1] => 1
[2,4,3,1,6,5] => [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) => [1,1,1,1,1,1] => 1
[2,4,3,5,1,6] => [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) => [1,2,1,1,1] => 1
[2,4,3,5,6,1] => [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) => [3,1,2] => 2
[2,4,3,6,1,5] => [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) => [1,1,1,1,1,1] => 1
[2,4,3,6,5,1] => [1,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[2,4,5,1,3,6] => [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) => [1,1,1,1,1,1] => 1
[2,4,5,1,6,3] => [3,6,1,5,4,2] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,5,3,1,6] => [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) => [1,1,1,1,1,1] => 1
[2,4,5,3,6,1] => [1,6,3,5,4,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[2,4,5,6,1,3] => [3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[2,4,5,6,3,1] => [1,3,6,5,4,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[2,4,6,1,3,5] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,6,1,5,3] => [3,5,1,6,4,2] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,6,3,1,5] => [5,1,3,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,6,3,5,1] => [1,5,3,6,4,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,4,6,5,1,3] => [3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,4,6,5,3,1] => [1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,5,1,3,4,6] => [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) => [1,1,1,1,1,1] => 1
[2,5,1,3,6,4] => [4,6,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,1,4,3,6] => [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) => [1,1,1,1,1,1] => 1
[2,5,1,4,6,3] => [3,6,4,1,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,1,6,3,4] => [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) => [1,2,1,1,1] => 1
[2,5,1,6,4,3] => [3,4,6,1,5,2] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,3,1,4,6] => [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) => [1,1,1,1,1,1] => 1
[2,5,3,1,6,4] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,3,4,1,6] => [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) => [1,1,1,1,1,1] => 1
[2,5,3,4,6,1] => [1,6,4,3,5,2] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[2,5,3,6,1,4] => [4,1,6,3,5,2] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,3,6,4,1] => [1,4,6,3,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,5,4,1,3,6] => [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) => [1,1,1,1,1,1] => 1
[2,5,4,1,6,3] => [3,6,1,4,5,2] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,4,3,1,6] => [6,1,3,4,5,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[2,5,4,3,6,1] => [1,6,3,4,5,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[2,5,4,6,1,3] => [3,1,6,4,5,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,4,6,3,1] => [1,3,6,4,5,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,5,6,1,3,4] => [4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[2,5,6,1,4,3] => [3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[2,5,6,3,1,4] => [4,1,3,6,5,2] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,6,3,4,1] => [1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,2] => 2
[2,5,6,4,1,3] => [3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,5,6,4,3,1] => [1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[2,6,1,3,4,5] => [5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[2,6,1,3,5,4] => [4,5,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,1,4,3,5] => [5,3,4,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,1,4,5,3] => [3,5,4,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[2,6,1,5,3,4] => [4,3,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[2,6,1,5,4,3] => [3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[2,6,3,1,4,5] => [5,4,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,3,1,5,4] => [4,5,1,3,6,2] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,3,4,1,5] => [5,1,4,3,6,2] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,3,4,5,1] => [1,5,4,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[2,6,3,5,1,4] => [4,1,5,3,6,2] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,3,5,4,1] => [1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,6,4,1,3,5] => [5,3,1,4,6,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,4,1,5,3] => [3,5,1,4,6,2] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,4,3,1,5] => [5,1,3,4,6,2] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,4,3,5,1] => [1,5,3,4,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[2,6,4,5,1,3] => [3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,4,5,3,1] => [1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[2,6,5,1,3,4] => [4,3,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,5,1,4,3] => [3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,5,3,1,4] => [4,1,3,5,6,2] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[2,6,5,3,4,1] => [1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[2,6,5,4,1,3] => [3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[2,6,5,4,3,1] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => [1,3,2] => 2
[3,1,2,4,5,6] => [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) => [3,1,1,1] => 1
[3,1,2,4,6,5] => [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) => [2,1,1,1,1] => 1
[3,1,2,5,4,6] => [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) => [2,1,1,1,1] => 1
[3,1,2,5,6,4] => [4,6,5,2,1,3] => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[3,1,2,6,4,5] => [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) => [1,2,2,1] => 1
[3,1,2,6,5,4] => [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) => [1,1,3,1] => 1
[3,1,4,2,5,6] => [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) => [2,1,1,1,1] => 1
[3,1,4,2,6,5] => [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) => [1,1,2,1,1] => 1
[3,1,4,5,2,6] => [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) => [1,1,1,1,1,1] => 1
[3,1,4,5,6,2] => [2,6,5,4,1,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,1,4,6,2,5] => [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) => [1,1,1,1,1,1] => 1
[3,1,4,6,5,2] => [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) => [1,1,1,1,1,1] => 1
[3,1,5,2,4,6] => [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) => [1,1,1,1,1,1] => 1
[3,1,5,2,6,4] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,1,5,4,2,6] => [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) => [1,1,1,1,1,1] => 1
[3,1,5,4,6,2] => [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) => [1,1,1,1,1,1] => 1
[3,1,5,6,2,4] => [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) => [1,2,1,1,1] => 1
[3,1,5,6,4,2] => [2,4,6,5,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,1,6,2,4,5] => [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) => [1,1,1,1,1,1] => 1
[3,1,6,2,5,4] => [4,5,2,6,1,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[3,1,6,4,2,5] => [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) => [1,1,1,1,1,1] => 1
[3,1,6,4,5,2] => [2,5,4,6,1,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,1,6,5,2,4] => [4,2,5,6,1,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,1,6,5,4,2] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[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) => [3,2,1] => 1
[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) => [2,1,2,1] => 1
[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) => [2,1,2,1] => 1
[3,2,1,5,6,4] => [4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[3,2,1,6,4,5] => [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) => [1,1,3,1] => 1
[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) => [1,4,1] => 1
[3,2,4,1,5,6] => [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) => [2,1,1,1,1] => 1
[3,2,4,1,6,5] => [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) => [1,1,1,1,1,1] => 1
[3,2,4,5,1,6] => [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) => [1,2,1,1,1] => 1
[3,2,4,5,6,1] => [1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => 2
[3,2,4,6,1,5] => [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) => [1,1,1,1,1,1] => 1
[3,2,4,6,5,1] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[3,2,5,1,4,6] => [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) => [1,1,1,1,1,1] => 1
[3,2,5,1,6,4] => [4,6,1,5,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[3,2,5,4,1,6] => [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) => [1,1,2,1,1] => 1
[3,2,5,4,6,1] => [1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[3,2,5,6,1,4] => [4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[3,2,5,6,4,1] => [1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[3,2,6,1,4,5] => [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) => [1,1,2,1,1] => 1
[3,2,6,1,5,4] => [4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,1,1] => 1
[3,2,6,4,1,5] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,2,6,4,5,1] => [1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[3,2,6,5,1,4] => [4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,2,6,5,4,1] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,2] => 2
[3,4,1,2,5,6] => [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) => [2,2,1,1] => 1
[3,4,1,2,6,5] => [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) => [1,3,1,1] => 1
[3,4,1,5,2,6] => [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) => [1,1,1,1,1,1] => 1
[3,4,1,5,6,2] => [2,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,4,1,6,2,5] => [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) => [1,2,1,1,1] => 1
[3,4,1,6,5,2] => [2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[3,4,2,1,5,6] => [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) => [2,1,2,1] => 1
[3,4,2,1,6,5] => [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) => [1,2,2,1] => 1
[3,4,2,5,1,6] => [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) => [1,1,1,1,1,1] => 1
[3,4,2,5,6,1] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[3,4,2,6,1,5] => [5,1,6,2,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,4,2,6,5,1] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[3,4,5,1,2,6] => [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) => [1,2,1,1,1] => 1
[3,4,5,1,6,2] => [2,6,1,5,4,3] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,4,5,2,1,6] => [6,1,2,5,4,3] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[3,4,5,2,6,1] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[3,4,5,6,1,2] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => 2
[3,4,5,6,2,1] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3] => 3
[3,4,6,1,2,5] => [5,2,1,6,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[3,4,6,1,5,2] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,4,6,2,1,5] => [5,1,2,6,4,3] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,4,6,2,5,1] => [1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,4,6,5,1,2] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[3,4,6,5,2,1] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[3,5,1,2,4,6] => [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) => [1,1,1,1,1,1] => 1
[3,5,1,2,6,4] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,5,1,4,2,6] => [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) => [1,1,1,1,1,1] => 1
[3,5,1,4,6,2] => [2,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,5,1,6,2,4] => [4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[3,5,1,6,4,2] => [2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,5,2,1,4,6] => [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) => [1,1,1,1,1,1] => 1
[3,5,2,1,6,4] => [4,6,1,2,5,3] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,5,2,4,1,6] => [6,1,4,2,5,3] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,5,2,4,6,1] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,5,2,6,1,4] => [4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,5,2,6,4,1] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,5,4,1,2,6] => [6,2,1,4,5,3] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,5,4,1,6,2] => [2,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,5,4,2,1,6] => [6,1,2,4,5,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[3,5,4,2,6,1] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,5,4,6,1,2] => [2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[3,5,4,6,2,1] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[3,5,6,1,2,4] => [4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [1,3,1,1] => 1
[3,5,6,1,4,2] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => 1
[3,5,6,2,1,4] => [4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,5,6,2,4,1] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,5,6,4,1,2] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,5,6,4,2,1] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[3,6,1,2,4,5] => [5,4,2,1,6,3] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,1,2,5,4] => [4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[3,6,1,4,2,5] => [5,2,4,1,6,3] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,1,4,5,2] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,6,1,5,2,4] => [4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,6,1,5,4,2] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[3,6,2,1,4,5] => [5,4,1,2,6,3] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,2,1,5,4] => [4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,6,2,4,1,5] => [5,1,4,2,6,3] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,2,4,5,1] => [1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,6,2,5,1,4] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,2,5,4,1] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,6,4,1,2,5] => [5,2,1,4,6,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,4,1,5,2] => [2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,4,2,1,5] => [5,1,2,4,6,3] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,4,2,5,1] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,6,4,5,1,2] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[3,6,4,5,2,1] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[3,6,5,1,2,4] => [4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[3,6,5,1,4,2] => [2,4,1,5,6,3] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[3,6,5,2,1,4] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[3,6,5,2,4,1] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[3,6,5,4,1,2] => [2,1,4,5,6,3] => ([(0,1),(2,5),(3,5),(4,5)],6) => [1,1,2,2] => 2
[3,6,5,4,2,1] => [1,2,4,5,6,3] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[4,1,2,3,5,6] => [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) => [2,2,1,1] => 1
[4,1,2,3,6,5] => [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) => [1,2,1,1,1] => 1
[4,1,2,5,3,6] => [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) => [1,1,1,1,1,1] => 1
[4,1,2,5,6,3] => [3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,1,2,6,3,5] => [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) => [1,1,1,1,1,1] => 1
[4,1,2,6,5,3] => [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) => [1,1,2,1,1] => 1
[4,1,3,2,5,6] => [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) => [2,1,1,1,1] => 1
[4,1,3,2,6,5] => [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) => [1,1,1,1,1,1] => 1
[4,1,3,5,2,6] => [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) => [1,1,1,1,1,1] => 1
[4,1,3,5,6,2] => [2,6,5,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,3,6,2,5] => [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) => [1,1,1,1,1,1] => 1
[4,1,3,6,5,2] => [2,5,6,3,1,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,5,2,3,6] => [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) => [1,1,1,1,1,1] => 1
[4,1,5,2,6,3] => [3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,5,3,2,6] => [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) => [1,1,1,1,1,1] => 1
[4,1,5,3,6,2] => [2,6,3,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,5,6,2,3] => [3,2,6,5,1,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,1,5,6,3,2] => [2,3,6,5,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,6,2,3,5] => [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) => [1,1,1,1,1,1] => 1
[4,1,6,2,5,3] => [3,5,2,6,1,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,6,3,2,5] => [5,2,3,6,1,4] => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,6,3,5,2] => [2,5,3,6,1,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,1,6,5,2,3] => [3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,1,6,5,3,2] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,1,3,5,6] => [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) => [2,1,1,1,1] => 1
[4,2,1,3,6,5] => [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) => [1,1,1,1,1,1] => 1
[4,2,1,5,3,6] => [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) => [1,1,1,1,1,1] => 1
[4,2,1,5,6,3] => [3,6,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,2,1,6,3,5] => [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) => [1,1,2,1,1] => 1
[4,2,1,6,5,3] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,1,1] => 1
[4,2,3,1,5,6] => [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) => [2,1,2,1] => 1
[4,2,3,1,6,5] => [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) => [1,2,2,1] => 1
[4,2,3,5,1,6] => [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) => [1,1,1,1,1,1] => 1
[4,2,3,5,6,1] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[4,2,3,6,1,5] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[4,2,3,6,5,1] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[4,2,5,1,3,6] => [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) => [1,1,1,1,1,1] => 1
[4,2,5,1,6,3] => [3,6,1,5,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,5,3,1,6] => [6,1,3,5,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,5,3,6,1] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,2,5,6,1,3] => [3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,5,6,3,1] => [1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,2,6,1,3,5] => [5,3,1,6,2,4] => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,6,1,5,3] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [1,2,1,1,1] => 1
[4,2,6,3,1,5] => [5,1,3,6,2,4] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,2,6,3,5,1] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,2,6,5,1,3] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,2,6,5,3,1] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,3,1,2,5,6] => [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) => [2,1,2,1] => 1
[4,3,1,2,6,5] => [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) => [1,2,2,1] => 1
[4,3,1,5,2,6] => [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) => [1,1,1,1,1,1] => 1
[4,3,1,5,6,2] => [2,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,3,1,6,2,5] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,3,1,6,5,2] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[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) => [2,3,1] => 1
[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) => [1,1,3,1] => 1
[4,3,2,5,1,6] => [6,1,5,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,3,2,5,6,1] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[4,3,2,6,1,5] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[4,3,2,6,5,1] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,2] => 2
[4,3,5,1,2,6] => [6,2,1,5,3,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,3,5,1,6,2] => [2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,3,5,2,1,6] => [6,1,2,5,3,4] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[4,3,5,2,6,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,3,5,6,1,2] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[4,3,5,6,2,1] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[4,3,6,1,2,5] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,3,6,1,5,2] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,3,6,2,1,5] => [5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,3,6,2,5,1] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,3,6,5,1,2] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,2] => 2
[4,3,6,5,2,1] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => [1,2,3] => 3
[4,5,1,2,3,6] => [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) => [1,2,1,1,1] => 1
[4,5,1,2,6,3] => [3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,5,1,3,2,6] => [6,2,3,1,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,5,1,3,6,2] => [2,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,5,1,6,2,3] => [3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [1,3,1,1] => 1
[4,5,1,6,3,2] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,5,2,1,3,6] => [6,3,1,2,5,4] => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,5,2,1,6,3] => [3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,5,2,3,1,6] => [6,1,3,2,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[4,5,2,3,6,1] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,2] => 2
[4,5,2,6,1,3] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => 1
[4,5,2,6,3,1] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,5,3,1,2,6] => [6,2,1,3,5,4] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[4,5,3,1,6,2] => [2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,5,3,2,1,6] => [6,1,2,3,5,4] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[4,5,3,2,6,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[4,5,3,6,1,2] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,5,3,6,2,1] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[4,5,6,1,2,3] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [4,2] => 2
[4,5,6,1,3,2] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,1,2] => 2
[4,5,6,2,1,3] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,1,2] => 2
[4,5,6,2,3,1] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[4,5,6,3,1,2] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[4,5,6,3,2,1] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => [2,4] => 4
[4,6,1,2,3,5] => [5,3,2,1,6,4] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[4,6,1,2,5,3] => [3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,1,3,2,5] => [5,2,3,1,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,1,3,5,2] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,1,5,2,3] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => 1
[4,6,1,5,3,2] => [2,3,5,1,6,4] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,2,1,3,5] => [5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,2,1,5,3] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[4,6,2,3,1,5] => [5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,2,3,5,1] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[4,6,2,5,1,3] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[4,6,2,5,3,1] => [1,3,5,2,6,4] => ([(1,5),(2,4),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[4,6,3,1,2,5] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,3,1,5,2] => [2,5,1,3,6,4] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[4,6,3,2,1,5] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[4,6,3,2,5,1] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[4,6,3,5,1,2] => [2,1,5,3,6,4] => ([(0,1),(2,5),(3,4),(4,5)],6) => [1,2,1,2] => 2
[4,6,3,5,2,1] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[4,6,5,1,2,3] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,1,2] => 2
[4,6,5,1,3,2] => [2,3,1,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2] => 2
[4,6,5,2,1,3] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2] => 2
[4,6,5,2,3,1] => [1,3,2,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[4,6,5,3,1,2] => [2,1,3,5,6,4] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[4,6,5,3,2,1] => [1,2,3,5,6,4] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[5,1,2,3,4,6] => [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) => [1,3,1,1] => 1
[5,1,2,3,6,4] => [4,6,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[5,1,2,4,3,6] => [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) => [1,2,1,1,1] => 1
[5,1,2,4,6,3] => [3,6,4,2,1,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,2,6,3,4] => [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) => [1,1,1,1,1,1] => 1
[5,1,2,6,4,3] => [3,4,6,2,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,3,2,4,6] => [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) => [1,2,1,1,1] => 1
[5,1,3,2,6,4] => [4,6,2,3,1,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,3,4,2,6] => [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) => [1,1,1,1,1,1] => 1
[5,1,3,4,6,2] => [2,6,4,3,1,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,3,6,2,4] => [4,2,6,3,1,5] => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,3,6,4,2] => [2,4,6,3,1,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,4,2,3,6] => [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) => [1,1,1,1,1,1] => 1
[5,1,4,2,6,3] => [3,6,2,4,1,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,4,3,2,6] => [6,2,3,4,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[5,1,4,3,6,2] => [2,6,3,4,1,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,4,6,2,3] => [3,2,6,4,1,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,4,6,3,2] => [2,3,6,4,1,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,6,2,3,4] => [4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[5,1,6,2,4,3] => [3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,6,3,2,4] => [4,2,3,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,6,3,4,2] => [2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,6,4,2,3] => [3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,1,6,4,3,2] => [2,3,4,6,1,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[5,2,1,3,4,6] => [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) => [1,2,1,1,1] => 1
[5,2,1,3,6,4] => [4,6,3,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,1,4,3,6] => [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) => [1,1,2,1,1] => 1
[5,2,1,4,6,3] => [3,6,4,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,1,6,3,4] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[5,2,1,6,4,3] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[5,2,3,1,4,6] => [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) => [1,1,1,1,1,1] => 1
[5,2,3,1,6,4] => [4,6,1,3,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,2,3,4,1,6] => [6,1,4,3,2,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[5,2,3,4,6,1] => [1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[5,2,3,6,1,4] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,2,3,6,4,1] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,2,4,1,3,6] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,4,1,6,3] => [3,6,1,4,2,5] => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,4,3,1,6] => [6,1,3,4,2,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[5,2,4,3,6,1] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,2,4,6,1,3] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,4,6,3,1] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,2,6,1,3,4] => [4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,6,1,4,3] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[5,2,6,3,1,4] => [4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,6,3,4,1] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,2,6,4,1,3] => [3,1,4,6,2,5] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,2,6,4,3,1] => [1,3,4,6,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[5,3,1,2,4,6] => [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) => [1,1,1,1,1,1] => 1
[5,3,1,2,6,4] => [4,6,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,3,1,4,2,6] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,3,1,4,6,2] => [2,6,4,1,3,5] => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,3,1,6,2,4] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,3,1,6,4,2] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,3,2,1,4,6] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,1,1] => 1
[5,3,2,1,6,4] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,1,1] => 1
[5,3,2,4,1,6] => [6,1,4,2,3,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[5,3,2,4,6,1] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,3,2,6,1,4] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,3,2,6,4,1] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,3,4,1,2,6] => [6,2,1,4,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,2,1] => 1
[5,3,4,1,6,2] => [2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,3,4,2,1,6] => [6,1,2,4,3,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[5,3,4,2,6,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[5,3,4,6,1,2] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,3,4,6,2,1] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,3,6,1,2,4] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [1,2,1,1,1] => 1
[5,3,6,1,4,2] => [2,4,1,6,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [1,1,1,1,1,1] => 1
[5,3,6,2,1,4] => [4,1,2,6,3,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,3,6,2,4,1] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[5,3,6,4,1,2] => [2,1,4,6,3,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [1,2,1,2] => 2
[5,3,6,4,2,1] => [1,2,4,6,3,5] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[5,4,1,2,3,6] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,2,1] => 1
[5,4,1,2,6,3] => [3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,4,1,3,2,6] => [6,2,3,1,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[5,4,1,3,6,2] => [2,6,3,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,4,1,6,2,3] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,1,1] => 1
[5,4,1,6,3,2] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[5,4,2,1,3,6] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,2,1] => 1
[5,4,2,1,6,3] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,4,2,3,1,6] => [6,1,3,2,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[5,4,2,3,6,1] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[5,4,2,6,1,3] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [1,1,1,1,1,1] => 1
[5,4,2,6,3,1] => [1,3,6,2,4,5] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[5,4,3,1,2,6] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,3,1] => 1
[5,4,3,1,6,2] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [1,1,2,1,1] => 1
[5,4,3,2,1,6] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [1,4,1] => 1
[5,4,3,2,6,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [1,3,2] => 2
[5,4,3,6,1,2] => [2,1,6,3,4,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [1,1,2,2] => 2
[5,4,3,6,2,1] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[5,4,6,1,2,3] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,1,2] => 2
[5,4,6,1,3,2] => [2,3,1,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2] => 2
[5,4,6,2,1,3] => [3,1,2,6,4,5] => ([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2] => 2
[5,4,6,2,3,1] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,4,6,3,1,2] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,4,6,3,2,1] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[5,6,1,2,3,4] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => 2
[5,6,1,2,4,3] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[5,6,1,3,2,4] => [4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[5,6,1,3,4,2] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,6,1,4,2,3] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,6,1,4,3,2] => [2,3,4,1,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [1,1,2,2] => 2
[5,6,2,1,3,4] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[5,6,2,1,4,3] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [1,3,2] => 2
[5,6,2,3,1,4] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,6,2,3,4,1] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[5,6,2,4,1,3] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [1,2,1,2] => 2
[5,6,2,4,3,1] => [1,3,4,2,6,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,6,3,1,2,4] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[5,6,3,1,4,2] => [2,4,1,3,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => [1,2,1,2] => 2
[5,6,3,2,1,4] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => [1,1,2,2] => 2
[5,6,3,2,4,1] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,6,3,4,1,2] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => [3,3] => 3
[5,6,3,4,2,1] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => [2,4] => 4
[5,6,4,1,2,3] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[5,6,4,1,3,2] => [2,3,1,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,6,4,2,1,3] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[5,6,4,2,3,1] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => [2,4] => 4
[5,6,4,3,1,2] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => [2,4] => 4
[5,6,4,3,2,1] => [1,2,3,4,6,5] => ([(4,5)],6) => [1,5] => 5
[6,1,2,3,4,5] => [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) => [4,2] => 2
[6,1,2,3,5,4] => [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) => [3,1,2] => 2
[6,1,2,4,3,5] => [5,3,4,2,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,2] => 2
[6,1,2,4,5,3] => [3,5,4,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,1,2,5,3,4] => [4,3,5,2,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,1,2,5,4,3] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[6,1,3,2,4,5] => [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) => [3,1,2] => 2
[6,1,3,2,5,4] => [4,5,2,3,1,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[6,1,3,4,2,5] => [5,2,4,3,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,1,3,4,5,2] => [2,5,4,3,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,1,3,5,2,4] => [4,2,5,3,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,3,5,4,2] => [2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,4,2,3,5] => [5,3,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,1,4,2,5,3] => [3,5,2,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,4,3,2,5] => [5,2,3,4,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[6,1,4,3,5,2] => [2,5,3,4,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,4,5,2,3] => [3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,1,4,5,3,2] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,1,5,2,3,4] => [4,3,2,5,1,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,1,5,2,4,3] => [3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,5,3,2,4] => [4,2,3,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,1,5,3,4,2] => [2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,1,5,4,2,3] => [3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,1,5,4,3,2] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => [1,3,2] => 2
[6,2,1,3,4,5] => [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) => [3,1,2] => 2
[6,2,1,3,5,4] => [4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[6,2,1,4,3,5] => [5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [2,2,2] => 2
[6,2,1,4,5,3] => [3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,2,1,5,3,4] => [4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,2,1,5,4,3] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,2] => 2
[6,2,3,1,4,5] => [5,4,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,2,3,1,5,4] => [4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,2,3,4,1,5] => [5,1,4,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,2,3,4,5,1] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3] => 3
[6,2,3,5,1,4] => [4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,3,5,4,1] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,2,4,1,3,5] => [5,3,1,4,2,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,4,1,5,3] => [3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,4,3,1,5] => [5,1,3,4,2,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,4,3,5,1] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,2,4,5,1,3] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,4,5,3,1] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,2,5,1,3,4] => [4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,5,1,4,3] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,5,3,1,4] => [4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,5,3,4,1] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,2,5,4,1,3] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[6,2,5,4,3,1] => [1,3,4,5,2,6] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[6,3,1,2,4,5] => [5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,2] => 2
[6,3,1,2,5,4] => [4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,3,1,4,2,5] => [5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,1,4,5,2] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,1,5,2,4] => [4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,1,5,4,2] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,2,1,4,5] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => 2
[6,3,2,1,5,4] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [1,1,2,2] => 2
[6,3,2,4,1,5] => [5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,2,4,5,1] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,3,2,5,1,4] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,2,5,4,1] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [1,2,3] => 3
[6,3,4,1,2,5] => [5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,3,4,1,5,2] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,4,2,1,5] => [5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,3,4,2,5,1] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,3,4,5,1,2] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,3,4,5,2,1] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => [2,4] => 4
[6,3,5,1,2,4] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,5,1,4,2] => [2,4,1,5,3,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,3,5,2,1,4] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[6,3,5,2,4,1] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[6,3,5,4,1,2] => [2,1,4,5,3,6] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,3,5,4,2,1] => [1,2,4,5,3,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,4,1,2,3,5] => [5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,2,1,2] => 2
[6,4,1,2,5,3] => [3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,1,3,2,5] => [5,2,3,1,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,1,3,5,2] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,1,5,2,3] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,1,5,3,2] => [2,3,5,1,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,2,1,3,5] => [5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,2,1,5,3] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,2,3,1,5] => [5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,4,2,3,5,1] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,4,2,5,1,3] => [3,1,5,2,4,6] => ([(1,5),(2,4),(3,4),(3,5)],6) => [1,1,1,1,2] => 2
[6,4,2,5,3,1] => [1,3,5,2,4,6] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[6,4,3,1,2,5] => [5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [1,1,2,2] => 2
[6,4,3,1,5,2] => [2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => [1,1,1,1,2] => 2
[6,4,3,2,1,5] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => [1,3,2] => 2
[6,4,3,2,5,1] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[6,4,3,5,1,2] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,4,3,5,2,1] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,4,5,1,2,3] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,4,5,1,3,2] => [2,3,1,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,4,5,2,1,3] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,4,5,2,3,1] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => [2,4] => 4
[6,4,5,3,1,2] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => [2,4] => 4
[6,4,5,3,2,1] => [1,2,3,5,4,6] => ([(4,5)],6) => [1,5] => 5
[6,5,1,2,3,4] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3] => 3
[6,5,1,2,4,3] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,5,1,3,2,4] => [4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,5,1,3,4,2] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,5,1,4,2,3] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,5,1,4,3,2] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[6,5,2,1,3,4] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,3] => 3
[6,5,2,1,4,3] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => [1,2,3] => 3
[6,5,2,3,1,4] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,5,2,3,4,1] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => [2,4] => 4
[6,5,2,4,1,3] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[6,5,2,4,3,1] => [1,3,4,2,5,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,5,3,1,2,4] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => [1,1,1,3] => 3
[6,5,3,1,4,2] => [2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6) => [1,1,1,3] => 3
[6,5,3,2,1,4] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => [1,2,3] => 3
[6,5,3,2,4,1] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,5,3,4,1,2] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => [2,4] => 4
[6,5,3,4,2,1] => [1,2,4,3,5,6] => ([(4,5)],6) => [1,5] => 5
[6,5,4,1,2,3] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => [2,4] => 4
[6,5,4,1,3,2] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,5,4,2,1,3] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => [1,1,4] => 4
[6,5,4,2,3,1] => [1,3,2,4,5,6] => ([(4,5)],6) => [1,5] => 5
[6,5,4,3,1,2] => [2,1,3,4,5,6] => ([(4,5)],6) => [1,5] => 5
[6,5,4,3,2,1] => [1,2,3,4,5,6] => ([],6) => [6] => 6
[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) => [6,1] => 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) => [5,1,1] => 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) => [5,1,1] => 1
[1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1
[1,2,3,4,7,5,6] => [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) => [4,1,1,1] => 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) => [4,2,1] => 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) => [5,1,1] => 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) => [4,2,1] => 1
[1,2,3,5,6,4,7] => [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) => [4,1,1,1] => 1
[1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 1
[1,2,3,5,7,4,6] => [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) => [3,1,1,1,1] => 1
[1,2,3,5,7,6,4] => [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) => [3,1,1,1,1] => 1
[1,2,3,6,4,5,7] => [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) => [4,1,1,1] => 1
[1,2,3,6,4,7,5] => [5,7,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 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) => [4,2,1] => 1
[1,2,3,6,5,7,4] => [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) => [3,1,1,1,1] => 1
[1,2,3,6,7,4,5] => [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) => [3,2,1,1] => 1
[1,2,3,6,7,5,4] => [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) => [3,1,2,1] => 1
[1,2,3,7,4,5,6] => [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) => [3,2,1,1] => 1
[1,2,3,7,4,6,5] => [5,6,4,7,3,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1
[1,2,3,7,5,4,6] => [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) => [3,1,1,1,1] => 1
[1,2,3,7,5,6,4] => [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) => [3,1,2,1] => 1
[1,2,3,7,6,4,5] => [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) => [3,1,2,1] => 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) => [3,3,1] => 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) => [5,1,1] => 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) => [4,2,1] => 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) => [4,2,1] => 1
[1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1
[1,2,4,3,7,5,6] => [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) => [3,1,1,1,1] => 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) => [3,1,2,1] => 1
[1,2,4,5,3,6,7] => [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) => [4,1,1,1] => 1
[1,2,4,5,3,7,6] => [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) => [3,1,1,1,1] => 1
[1,2,4,5,6,3,7] => [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) => [3,2,1,1] => 1
[1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,1,1] => 1
[1,2,4,5,7,3,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,5,7,6,3] => [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) => [2,2,1,1,1] => 1
[1,2,4,6,3,5,7] => [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) => [3,1,1,1,1] => 1
[1,2,4,6,3,7,5] => [5,7,3,6,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,4,6,5,3,7] => [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) => [3,1,1,1,1] => 1
[1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => 1
[1,2,4,6,7,3,5] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,6,7,5,3] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,7,3,5,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,7,3,6,5] => [5,6,3,7,4,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,4,7,5,3,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,7,5,6,3] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,7,6,3,5] => [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) => [2,1,1,1,1,1] => 1
[1,2,4,7,6,5,3] => [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) => [2,1,2,1,1] => 1
[1,2,5,3,4,6,7] => [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) => [4,1,1,1] => 1
[1,2,5,3,4,7,6] => [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) => [3,1,1,1,1] => 1
[1,2,5,3,6,4,7] => [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) => [3,1,1,1,1] => 1
[1,2,5,3,6,7,4] => [4,7,6,3,5,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,5,3,7,4,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,3,7,6,4] => [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) => [2,1,1,1,1,1] => 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) => [4,2,1] => 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) => [3,1,2,1] => 1
[1,2,5,4,6,3,7] => [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) => [3,1,1,1,1] => 1
[1,2,5,4,6,7,3] => [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) => [2,2,1,1,1] => 1
[1,2,5,4,7,3,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,4,7,6,3] => [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) => [2,1,2,1,1] => 1
[1,2,5,6,3,4,7] => [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) => [3,2,1,1] => 1
[1,2,5,6,3,7,4] => [4,7,3,6,5,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,5,6,4,3,7] => [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) => [3,1,2,1] => 1
[1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,5,6,7,3,4] => [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) => [2,2,1,1,1] => 1
[1,2,5,6,7,4,3] => [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) => [2,2,2,1] => 1
[1,2,5,7,3,4,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,7,3,6,4] => [4,6,3,7,5,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,5,7,4,3,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,7,4,6,3] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,7,6,3,4] => [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) => [2,1,1,1,1,1] => 1
[1,2,5,7,6,4,3] => [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) => [2,1,1,2,1] => 1
[1,2,6,3,4,5,7] => [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) => [3,2,1,1] => 1
[1,2,6,3,4,7,5] => [5,7,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,3,5,4,7] => [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) => [3,1,1,1,1] => 1
[1,2,6,3,5,7,4] => [4,7,5,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,3,7,4,5] => [5,4,7,3,6,2,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,3,7,5,4] => [4,5,7,3,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,4,3,5,7] => [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) => [3,1,1,1,1] => 1
[1,2,6,4,3,7,5] => [5,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,4,5,3,7] => [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) => [3,1,2,1] => 1
[1,2,6,4,5,7,3] => [3,7,5,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,4,7,3,5] => [5,3,7,4,6,2,1] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,4,7,5,3] => [3,5,7,4,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,5,3,4,7] => [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) => [3,1,2,1] => 1
[1,2,6,5,3,7,4] => [4,7,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 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) => [3,3,1] => 1
[1,2,6,5,4,7,3] => [3,7,4,5,6,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => 1
[1,2,6,5,7,3,4] => [4,3,7,5,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,5,7,4,3] => [3,4,7,5,6,2,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,2,1] => 1
[1,2,6,7,3,4,5] => [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) => [2,2,1,1,1] => 1
[1,2,6,7,3,5,4] => [4,5,3,7,6,2,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,6,7,4,3,5] => [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) => [2,1,1,1,1,1] => 1
[1,2,6,7,4,5,3] => [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) => [2,2,2,1] => 1
[1,2,6,7,5,3,4] => [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) => [2,2,2,1] => 1
[1,2,6,7,5,4,3] => [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) => [2,1,3,1] => 1
[1,2,7,3,4,5,6] => [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) => [2,3,1,1] => 1
[1,2,7,3,4,6,5] => [5,6,4,3,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => 1
[1,2,7,3,5,4,6] => [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) => [2,2,1,1,1] => 1
[1,2,7,3,5,6,4] => [4,6,5,3,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,7,3,6,4,5] => [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) => [2,1,1,1,1,1] => 1
[1,2,7,3,6,5,4] => [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) => [2,1,2,1,1] => 1
[1,2,7,4,3,5,6] => [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) => [2,2,1,1,1] => 1
[1,2,7,4,3,6,5] => [5,6,3,4,7,2,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,1,1] => 1
[1,2,7,4,5,3,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,7,4,5,6,3] => [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) => [2,2,2,1] => 1
[1,2,7,4,6,3,5] => [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) => [2,1,1,1,1,1] => 1
[1,2,7,4,6,5,3] => [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) => [2,1,1,2,1] => 1
[1,2,7,5,3,4,6] => [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) => [2,1,1,1,1,1] => 1
[1,2,7,5,3,6,4] => [4,6,3,5,7,2,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,2,7,5,4,3,6] => [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) => [2,1,2,1,1] => 1
[1,2,7,5,4,6,3] => [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) => [2,1,1,2,1] => 1
[1,2,7,5,6,3,4] => [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) => [2,2,2,1] => 1
[1,2,7,5,6,4,3] => [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) => [2,1,3,1] => 1
[1,2,7,6,3,4,5] => [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) => [2,2,2,1] => 1
[1,2,7,6,3,5,4] => [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) => [2,1,1,2,1] => 1
[1,2,7,6,4,3,5] => [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) => [2,1,1,2,1] => 1
[1,2,7,6,4,5,3] => [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) => [2,1,3,1] => 1
[1,2,7,6,5,3,4] => [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) => [2,1,3,1] => 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) => [2,4,1] => 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) => [5,1,1] => 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) => [4,2,1] => 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) => [4,2,1] => 1
[1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1
[1,3,2,4,7,5,6] => [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) => [3,1,1,1,1] => 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) => [3,1,2,1] => 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) => [4,2,1] => 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) => [3,3,1] => 1
[1,3,2,5,6,4,7] => [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) => [3,1,1,1,1] => 1
[1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,1,1] => 1
[1,3,2,5,7,4,6] => [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) => [2,1,2,1,1] => 1
[1,3,2,5,7,6,4] => [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) => [2,1,1,1,1,1] => 1
[1,3,2,6,4,5,7] => [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) => [3,1,1,1,1] => 1
[1,3,2,6,4,7,5] => [5,7,4,6,2,3,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,2,1,1] => 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) => [3,1,2,1] => 1
[1,3,2,6,5,7,4] => [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) => [2,1,1,1,1,1] => 1
[1,3,2,6,7,4,5] => [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) => [2,3,1,1] => 1
[1,3,2,6,7,5,4] => [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) => [2,2,2,1] => 1
[1,3,2,7,4,5,6] => [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) => [2,2,1,1,1] => 1
[1,3,2,7,4,6,5] => [5,6,4,7,2,3,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[1,3,2,7,5,4,6] => [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) => [2,1,1,1,1,1] => 1
[1,3,2,7,5,6,4] => [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) => [2,2,2,1] => 1
[1,3,2,7,6,4,5] => [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) => [2,2,2,1] => 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) => [2,1,3,1] => 1
[1,3,4,2,5,6,7] => [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) => [4,1,1,1] => 1
[1,3,4,2,5,7,6] => [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) => [3,1,1,1,1] => 1
[1,3,4,2,6,5,7] => [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) => [3,1,1,1,1] => 1
[1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => 1
[1,3,4,2,7,5,6] => [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) => [2,2,2,1] => 1
[1,3,4,2,7,6,5] => [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) => [2,1,3,1] => 1
[1,3,4,5,2,6,7] => [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) => [3,2,1,1] => 1
[1,3,4,5,2,7,6] => [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) => [2,2,1,1,1] => 1
[1,3,4,5,6,2,7] => [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) => [2,3,1,1] => 1
[1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,4,1,1] => 1
[1,3,4,5,7,2,6] => [6,2,7,5,4,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,3,4,6,2,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,4,6,2,7,5] => [5,7,2,6,4,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,4,6,5,2,7] => [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) => [2,2,1,1,1] => 1
[1,3,4,6,5,7,2] => [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) => [1,3,1,1,1] => 1
[1,3,4,6,7,2,5] => [5,2,7,6,4,3,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,3,4,7,2,5,6] => [6,5,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,4,7,2,6,5] => [5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,4,7,5,2,6] => [6,2,5,7,4,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,4,7,5,6,2] => [2,6,5,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,3,4,7,6,2,5] => [5,2,6,7,4,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,3,5,2,4,6,7] => [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) => [3,1,1,1,1] => 1
[1,3,5,2,4,7,6] => [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) => [2,1,2,1,1] => 1
[1,3,5,2,6,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,5,2,6,7,4] => [4,7,6,2,5,3,1] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,2,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,5,2,7,6,4] => [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) => [1,1,1,2,1,1] => 1
[1,3,5,4,2,6,7] => [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) => [3,1,1,1,1] => 1
[1,3,5,4,2,7,6] => [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) => [2,1,1,1,1,1] => 1
[1,3,5,4,6,2,7] => [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) => [2,2,1,1,1] => 1
[1,3,5,4,6,7,2] => [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) => [1,3,1,1,1] => 1
[1,3,5,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,5,4,7,6,2] => [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) => [1,2,2,1,1] => 1
[1,3,5,6,2,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,5,6,2,7,4] => [4,7,2,6,5,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,6,4,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,5,6,4,7,2] => [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) => [1,2,1,1,1,1] => 1
[1,3,5,6,7,2,4] => [4,2,7,6,5,3,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,5,7,2,4,6] => [6,4,2,7,5,3,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,7,2,6,4] => [4,6,2,7,5,3,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,7,4,2,6] => [6,2,4,7,5,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,7,4,6,2] => [2,6,4,7,5,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,7,6,2,4] => [4,2,6,7,5,3,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,5,7,6,4,2] => [2,4,6,7,5,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,2,4,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,6,2,4,7,5] => [5,7,4,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,2,5,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,6,2,5,7,4] => [4,7,5,2,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,2,7,4,5] => [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) => [1,1,2,1,1,1] => 1
[1,3,6,2,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,6,4,2,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,6,4,2,7,5] => [5,7,2,4,6,3,1] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,4,5,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,6,4,5,7,2] => [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) => [1,2,1,1,1,1] => 1
[1,3,6,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,6,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,6,5,2,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,3,6,5,2,7,4] => [4,7,2,5,6,3,1] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,5,4,2,7] => [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) => [2,1,2,1,1] => 1
[1,3,6,5,4,7,2] => [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) => [1,2,2,1,1] => 1
[1,3,6,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,6,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,3,6,7,2,4,5] => [5,4,2,7,6,3,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,6,7,2,5,4] => [4,5,2,7,6,3,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,6,7,4,2,5] => [5,2,4,7,6,3,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,7,4,5,2] => [2,5,4,7,6,3,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,6,7,5,2,4] => [4,2,5,7,6,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,6,7,5,4,2] => [2,4,5,7,6,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,7,2,4,5,6] => [6,5,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,7,2,4,6,5] => [5,6,4,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,2,5,4,6] => [6,4,5,2,7,3,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,2,5,6,4] => [4,6,5,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,2,6,4,5] => [5,4,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,2,6,5,4] => [4,5,6,2,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,7,4,2,5,6] => [6,5,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,4,2,6,5] => [5,6,2,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,4,5,2,6] => [6,2,5,4,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,4,5,6,2] => [2,6,5,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,3,7,4,6,2,5] => [5,2,6,4,7,3,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,4,6,5,2] => [2,5,6,4,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,2,4,6] => [6,4,2,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,2,6,4] => [4,6,2,5,7,3,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,4,2,6] => [6,2,4,5,7,3,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,4,6,2] => [2,6,4,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,6,2,4] => [4,2,6,5,7,3,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,5,6,4,2] => [2,4,6,5,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,7,6,2,4,5] => [5,4,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,6,2,5,4] => [4,5,2,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,6,4,2,5] => [5,2,4,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,3,7,6,4,5,2] => [2,5,4,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,7,6,5,2,4] => [4,2,5,6,7,3,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,3,7,6,5,4,2] => [2,4,5,6,7,3,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,4,2,3,5,6,7] => [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) => [4,1,1,1] => 1
[1,4,2,3,5,7,6] => [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) => [3,1,1,1,1] => 1
[1,4,2,3,6,5,7] => [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) => [3,1,1,1,1] => 1
[1,4,2,3,6,7,5] => [5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => 1
[1,4,2,3,7,5,6] => [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) => [2,2,2,1] => 1
[1,4,2,3,7,6,5] => [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) => [2,1,3,1] => 1
[1,4,2,5,3,6,7] => [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) => [3,1,1,1,1] => 1
[1,4,2,5,3,7,6] => [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) => [2,1,2,1,1] => 1
[1,4,2,5,6,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,2,5,6,7,3] => [3,7,6,5,2,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,2,5,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,5,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,6,3,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,2,6,3,7,5] => [5,7,3,6,2,4,1] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,2,6,5,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,2,6,5,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,6,7,3,5] => [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) => [1,1,2,1,1,1] => 1
[1,4,2,6,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,7,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,7,3,6,5] => [5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,2,7,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,7,5,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,7,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,2,7,6,5,3] => [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) => [1,1,1,2,1,1] => 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) => [4,2,1] => 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) => [3,1,2,1] => 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) => [3,1,2,1] => 1
[1,4,3,2,6,7,5] => [5,7,6,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,3,1] => 1
[1,4,3,2,7,5,6] => [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) => [2,1,3,1] => 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) => [2,4,1] => 1
[1,4,3,5,2,6,7] => [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) => [3,1,1,1,1] => 1
[1,4,3,5,2,7,6] => [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) => [2,1,1,1,1,1] => 1
[1,4,3,5,6,2,7] => [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) => [2,2,1,1,1] => 1
[1,4,3,5,6,7,2] => [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) => [1,3,1,1,1] => 1
[1,4,3,5,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,3,5,7,6,2] => [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) => [1,2,2,1,1] => 1
[1,4,3,6,2,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,3,6,2,7,5] => [5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,3,6,5,2,7] => [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) => [2,1,2,1,1] => 1
[1,4,3,6,5,7,2] => [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) => [1,2,2,1,1] => 1
[1,4,3,6,7,2,5] => [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) => [1,1,1,2,1,1] => 1
[1,4,3,6,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,3,7,2,5,6] => [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) => [1,1,1,2,1,1] => 1
[1,4,3,7,2,6,5] => [5,6,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,4,3,7,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,3,7,5,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,3,7,6,2,5] => [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) => [1,1,2,1,1,1] => 1
[1,4,3,7,6,5,2] => [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) => [1,1,1,2,1,1] => 1
[1,4,5,2,3,6,7] => [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) => [3,2,1,1] => 1
[1,4,5,2,3,7,6] => [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) => [2,3,1,1] => 1
[1,4,5,2,6,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,5,2,6,7,3] => [3,7,6,2,5,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,5,2,7,3,6] => [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) => [1,1,2,1,1,1] => 1
[1,4,5,2,7,6,3] => [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) => [1,1,1,2,1,1] => 1
[1,4,5,3,2,6,7] => [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) => [3,1,2,1] => 1
[1,4,5,3,2,7,6] => [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) => [2,2,2,1] => 1
[1,4,5,3,6,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,5,3,6,7,2] => [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) => [1,2,1,1,1,1] => 1
[1,4,5,3,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,5,3,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,5,6,2,3,7] => [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) => [2,2,1,1,1] => 1
[1,4,5,6,2,7,3] => [3,7,2,6,5,4,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,5,6,3,2,7] => [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) => [2,2,2,1] => 1
[1,4,5,6,3,7,2] => [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) => [1,1,2,1,1,1] => 1
[1,4,5,6,7,2,3] => [3,2,7,6,5,4,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,2,1] => 1
[1,4,5,7,2,3,6] => [6,3,2,7,5,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,5,7,2,6,3] => [3,6,2,7,5,4,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,5,7,3,2,6] => [6,2,3,7,5,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,5,7,3,6,2] => [2,6,3,7,5,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,5,7,6,2,3] => [3,2,6,7,5,4,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,4,5,7,6,3,2] => [2,3,6,7,5,4,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,4,6,2,3,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,6,2,3,7,5] => [5,7,3,2,6,4,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,6,2,5,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,6,2,5,7,3] => [3,7,5,2,6,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,6,2,7,3,5] => [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) => [1,1,1,2,1,1] => 1
[1,4,6,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,6,3,2,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,6,3,2,7,5] => [5,7,2,3,6,4,1] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,6,3,5,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,6,3,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,6,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,6,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,6,5,2,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,4,6,5,2,7,3] => [3,7,2,5,6,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,6,5,3,2,7] => [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) => [2,1,1,2,1] => 1
[1,4,6,5,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,4,6,5,7,2,3] => [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) => [1,2,2,1,1] => 1
[1,4,6,5,7,3,2] => [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) => [1,2,1,2,1] => 1
[1,4,6,7,2,3,5] => [5,3,2,7,6,4,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,4,6,7,2,5,3] => [3,5,2,7,6,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,6,7,3,2,5] => [5,2,3,7,6,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,6,7,3,5,2] => [2,5,3,7,6,4,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,6,7,5,2,3] => [3,2,5,7,6,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,6,7,5,3,2] => [2,3,5,7,6,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,4,7,2,3,5,6] => [6,5,3,2,7,4,1] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,2,3,6,5] => [5,6,3,2,7,4,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,7,2,5,3,6] => [6,3,5,2,7,4,1] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,2,5,6,3] => [3,6,5,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,2,6,3,5] => [5,3,6,2,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,2,6,5,3] => [3,5,6,2,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,3,2,5,6] => [6,5,2,3,7,4,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,3,2,6,5] => [5,6,2,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,7,3,5,2,6] => [6,2,5,3,7,4,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,3,5,6,2] => [2,6,5,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,3,6,2,5] => [5,2,6,3,7,4,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,3,6,5,2] => [2,5,6,3,7,4,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,2,3,6] => [6,3,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,2,6,3] => [3,6,2,5,7,4,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,3,2,6] => [6,2,3,5,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,3,6,2] => [2,6,3,5,7,4,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,6,2,3] => [3,2,6,5,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,5,6,3,2] => [2,3,6,5,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,4,7,6,2,3,5] => [5,3,2,6,7,4,1] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,4,7,6,2,5,3] => [3,5,2,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,6,3,2,5] => [5,2,3,6,7,4,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,7,6,3,5,2] => [2,5,3,6,7,4,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,4,7,6,5,2,3] => [3,2,5,6,7,4,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,4,7,6,5,3,2] => [2,3,5,6,7,4,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,5,2,3,4,6,7] => [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) => [3,2,1,1] => 1
[1,5,2,3,4,7,6] => [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) => [2,2,1,1,1] => 1
[1,5,2,3,6,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,2,3,6,7,4] => [4,7,6,3,2,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,2,3,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,3,7,6,4] => [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) => [1,1,1,2,1,1] => 1
[1,5,2,4,3,6,7] => [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) => [3,1,1,1,1] => 1
[1,5,2,4,3,7,6] => [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) => [2,1,1,1,1,1] => 1
[1,5,2,4,6,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,2,4,6,7,3] => [3,7,6,4,2,5,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,2,4,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,4,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,6,3,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,2,6,3,7,4] => [4,7,3,6,2,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,2,6,4,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,2,6,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,6,7,3,4] => [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) => [1,1,1,2,1,1] => 1
[1,5,2,6,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,7,3,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,7,3,6,4] => [4,6,3,7,2,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,2,7,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,7,4,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,2,7,6,3,4] => [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) => [1,1,2,1,1,1] => 1
[1,5,2,7,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,2,4,6,7] => [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) => [3,1,1,1,1] => 1
[1,5,3,2,4,7,6] => [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) => [2,1,1,1,1,1] => 1
[1,5,3,2,6,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,3,2,6,7,4] => [4,7,6,2,3,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,5,3,2,7,4,6] => [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) => [1,1,1,2,1,1] => 1
[1,5,3,2,7,6,4] => [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) => [1,1,3,1,1] => 1
[1,5,3,4,2,6,7] => [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) => [3,1,2,1] => 1
[1,5,3,4,2,7,6] => [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) => [2,2,2,1] => 1
[1,5,3,4,6,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,3,4,6,7,2] => [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) => [1,2,1,1,1,1] => 1
[1,5,3,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,4,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,6,2,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,3,6,2,7,4] => [4,7,2,6,3,5,1] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,3,6,4,2,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,3,6,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,6,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,6,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,7,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,7,2,6,4] => [4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,3,7,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,7,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,3,7,6,2,4] => [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) => [1,1,1,2,1,1] => 1
[1,5,3,7,6,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,4,2,3,6,7] => [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) => [3,1,2,1] => 1
[1,5,4,2,3,7,6] => [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) => [2,2,2,1] => 1
[1,5,4,2,6,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,4,2,6,7,3] => [3,7,6,2,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,4,2,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,4,2,7,6,3] => [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) => [1,1,2,1,1,1] => 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) => [3,3,1] => 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) => [2,1,3,1] => 1
[1,5,4,3,6,2,7] => [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) => [2,1,2,1,1] => 1
[1,5,4,3,6,7,2] => [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) => [1,2,2,1,1] => 1
[1,5,4,3,7,2,6] => [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) => [1,1,1,2,1,1] => 1
[1,5,4,3,7,6,2] => [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) => [1,1,1,2,1,1] => 1
[1,5,4,6,2,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,4,6,2,7,3] => [3,7,2,6,4,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,4,6,3,2,7] => [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) => [2,1,1,2,1] => 1
[1,5,4,6,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,4,6,7,2,3] => [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) => [1,2,2,1,1] => 1
[1,5,4,6,7,3,2] => [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) => [1,2,1,2,1] => 1
[1,5,4,7,2,3,6] => [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) => [1,1,2,1,1,1] => 1
[1,5,4,7,2,6,3] => [3,6,2,7,4,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,5,4,7,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,4,7,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,4,7,6,2,3] => [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) => [1,1,3,1,1] => 1
[1,5,4,7,6,3,2] => [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) => [1,1,2,2,1] => 1
[1,5,6,2,3,4,7] => [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) => [2,2,1,1,1] => 1
[1,5,6,2,3,7,4] => [4,7,3,2,6,5,1] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,5,6,2,4,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,6,2,4,7,3] => [3,7,4,2,6,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,6,2,7,3,4] => [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) => [1,1,3,1,1] => 1
[1,5,6,2,7,4,3] => [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) => [1,1,2,1,1,1] => 1
[1,5,6,3,2,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,5,6,3,2,7,4] => [4,7,2,3,6,5,1] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,6,3,4,2,7] => [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) => [2,2,2,1] => 1
[1,5,6,3,4,7,2] => [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) => [1,1,2,1,1,1] => 1
[1,5,6,3,7,2,4] => [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) => [1,1,2,1,1,1] => 1
[1,5,6,3,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,6,4,2,3,7] => [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) => [2,2,2,1] => 1
[1,5,6,4,2,7,3] => [3,7,2,4,6,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,6,4,3,2,7] => [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) => [2,1,3,1] => 1
[1,5,6,4,3,7,2] => [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) => [1,1,1,2,1,1] => 1
[1,5,6,4,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,5,6,4,7,3,2] => [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) => [1,1,1,1,2,1] => 1
[1,5,6,7,2,3,4] => [4,3,2,7,6,5,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,4,1,1] => 1
[1,5,6,7,2,4,3] => [3,4,2,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,5,6,7,3,2,4] => [4,2,3,7,6,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,5,6,7,3,4,2] => [2,4,3,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,5,6,7,4,2,3] => [3,2,4,7,6,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,5,7,2,3,4,6] => [6,4,3,2,7,5,1] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,7,2,3,6,4] => [4,6,3,2,7,5,1] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,2,4,3,6] => [6,3,4,2,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,2,4,6,3] => [3,6,4,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,2,6,3,4] => [4,3,6,2,7,5,1] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,7,2,6,4,3] => [3,4,6,2,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,3,2,4,6] => [6,4,2,3,7,5,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,3,2,6,4] => [4,6,2,3,7,5,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,5,7,3,4,2,6] => [6,2,4,3,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,3,4,6,2] => [2,6,4,3,7,5,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,3,6,2,4] => [4,2,6,3,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,3,6,4,2] => [2,4,6,3,7,5,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,4,2,3,6] => [6,3,2,4,7,5,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,4,2,6,3] => [3,6,2,4,7,5,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,4,3,2,6] => [6,2,3,4,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,5,7,4,3,6,2] => [2,6,3,4,7,5,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,5,7,4,6,2,3] => [3,2,6,4,7,5,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,5,7,4,6,3,2] => [2,3,6,4,7,5,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,5,7,6,2,3,4] => [4,3,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,5,7,6,2,4,3] => [3,4,2,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,5,7,6,3,2,4] => [4,2,3,6,7,5,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,5,7,6,3,4,2] => [2,4,3,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,5,7,6,4,2,3] => [3,2,4,6,7,5,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,5,7,6,4,3,2] => [2,3,4,6,7,5,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,6,2,3,4,5,7] => [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) => [2,3,1,1] => 1
[1,6,2,3,4,7,5] => [5,7,4,3,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,6,2,3,5,4,7] => [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) => [2,2,1,1,1] => 1
[1,6,2,3,5,7,4] => [4,7,5,3,2,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,2,3,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,3,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,4,3,5,7] => [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) => [2,2,1,1,1] => 1
[1,6,2,4,3,7,5] => [5,7,3,4,2,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,2,4,5,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,2,4,5,7,3] => [3,7,5,4,2,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,2,4,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,4,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,5,3,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,2,5,3,7,4] => [4,7,3,5,2,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,2,5,4,3,7] => [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) => [2,1,2,1,1] => 1
[1,6,2,5,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,5,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,5,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,7,3,4,5] => [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) => [1,1,2,1,1,1] => 1
[1,6,2,7,3,5,4] => [4,5,3,7,2,6,1] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,2,7,4,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,7,4,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,7,5,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,2,7,5,4,3] => [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) => [1,1,1,2,1,1] => 1
[1,6,3,2,4,5,7] => [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) => [2,2,1,1,1] => 1
[1,6,3,2,4,7,5] => [5,7,4,2,3,6,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,3,2,5,4,7] => [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) => [2,1,2,1,1] => 1
[1,6,3,2,5,7,4] => [4,7,5,2,3,6,1] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,3,2,7,4,5] => [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) => [1,1,1,2,1,1] => 1
[1,6,3,2,7,5,4] => [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) => [1,1,2,1,1,1] => 1
[1,6,3,4,2,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,3,4,2,7,5] => [5,7,2,4,3,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,3,4,5,2,7] => [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) => [2,2,2,1] => 1
[1,6,3,4,5,7,2] => [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) => [1,1,2,1,1,1] => 1
[1,6,3,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,5,2,4,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,3,5,2,7,4] => [4,7,2,5,3,6,1] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,3,5,4,2,7] => [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) => [2,1,1,2,1] => 1
[1,6,3,5,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,7,2,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,7,2,5,4] => [4,5,2,7,3,6,1] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,6,3,7,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,7,4,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,7,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,3,7,5,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,2,3,5,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,4,2,3,7,5] => [5,7,3,2,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,4,2,5,3,7] => [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) => [2,1,1,1,1,1] => 1
[1,6,4,2,5,7,3] => [3,7,5,2,4,6,1] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,4,2,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,3,2,5,7] => [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) => [2,1,2,1,1] => 1
[1,6,4,3,2,7,5] => [5,7,2,3,4,6,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,6,4,3,5,2,7] => [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) => [2,1,1,2,1] => 1
[1,6,4,3,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,5,2,3,7] => [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) => [2,2,2,1] => 1
[1,6,4,5,2,7,3] => [3,7,2,5,4,6,1] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,4,5,3,2,7] => [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) => [2,1,3,1] => 1
[1,6,4,5,3,7,2] => [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) => [1,1,1,2,1,1] => 1
[1,6,4,5,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,5,7,3,2] => [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) => [1,1,1,1,2,1] => 1
[1,6,4,7,2,3,5] => [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) => [1,1,2,1,1,1] => 1
[1,6,4,7,2,5,3] => [3,5,2,7,4,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,4,7,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,7,3,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,4,7,5,2,3] => [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) => [1,1,2,1,1,1] => 1
[1,6,4,7,5,3,2] => [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) => [1,1,1,1,2,1] => 1
[1,6,5,2,3,4,7] => [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) => [2,2,2,1] => 1
[1,6,5,2,3,7,4] => [4,7,3,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,5,2,4,3,7] => [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) => [2,1,1,2,1] => 1
[1,6,5,2,4,7,3] => [3,7,4,2,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,5,2,7,3,4] => [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) => [1,1,2,1,1,1] => 1
[1,6,5,2,7,4,3] => [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) => [1,1,1,2,1,1] => 1
[1,6,5,3,2,4,7] => [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) => [2,1,1,2,1] => 1
[1,6,5,3,2,7,4] => [4,7,2,3,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,5,3,4,2,7] => [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) => [2,1,3,1] => 1
[1,6,5,3,4,7,2] => [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) => [1,1,1,2,1,1] => 1
[1,6,5,3,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,5,3,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[1,6,5,4,2,3,7] => [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) => [2,1,3,1] => 1
[1,6,5,4,2,7,3] => [3,7,2,4,5,6,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 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) => [2,4,1] => 1
[1,6,5,4,3,7,2] => [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) => [1,1,3,1,1] => 1
[1,6,5,4,7,2,3] => [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) => [1,1,1,2,1,1] => 1
[1,6,5,4,7,3,2] => [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) => [1,1,2,2,1] => 1
[1,6,5,7,2,3,4] => [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) => [1,3,1,1,1] => 1
[1,6,5,7,2,4,3] => [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) => [1,2,2,1,1] => 1
[1,6,5,7,3,2,4] => [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) => [1,2,2,1,1] => 1
[1,6,5,7,3,4,2] => [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) => [1,1,1,1,2,1] => 1
[1,6,5,7,4,2,3] => [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) => [1,1,1,1,2,1] => 1
[1,6,5,7,4,3,2] => [2,3,4,7,5,6,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,6,7,2,3,4,5] => [5,4,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,6,7,2,3,5,4] => [4,5,3,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,6,7,2,4,3,5] => [5,3,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,6,7,2,4,5,3] => [3,5,4,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,7,2,5,3,4] => [4,3,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,7,2,5,4,3] => [3,4,5,2,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,6,7,3,2,4,5] => [5,4,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,6,7,3,2,5,4] => [4,5,2,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,6,7,3,4,2,5] => [5,2,4,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,7,3,4,5,2] => [2,5,4,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,6,7,3,5,2,4] => [4,2,5,3,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,6,7,3,5,4,2] => [2,4,5,3,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,6,7,4,2,3,5] => [5,3,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,6,7,4,2,5,3] => [3,5,2,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,6,7,4,3,2,5] => [5,2,3,4,7,6,1] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,6,7,4,3,5,2] => [2,5,3,4,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,6,7,4,5,2,3] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,3,2,1] => 1
[1,6,7,4,5,3,2] => [2,3,5,4,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,6,7,5,2,3,4] => [4,3,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,6,7,5,2,4,3] => [3,4,2,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,6,7,5,3,2,4] => [4,2,3,5,7,6,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,6,7,5,3,4,2] => [2,4,3,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,6,7,5,4,2,3] => [3,2,4,5,7,6,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,6,7,5,4,3,2] => [2,3,4,5,7,6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[1,7,2,3,4,5,6] => [6,5,4,3,2,7,1] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,4,1,1] => 1
[1,7,2,3,4,6,5] => [5,6,4,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,7,2,3,5,4,6] => [6,4,5,3,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,7,2,3,5,6,4] => [4,6,5,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,2,3,6,4,5] => [5,4,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,2,3,6,5,4] => [4,5,6,3,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,2,4,3,5,6] => [6,5,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,7,2,4,3,6,5] => [5,6,3,4,2,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,2,4,5,3,6] => [6,3,5,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,2,4,5,6,3] => [3,6,5,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,2,4,6,3,5] => [5,3,6,4,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,4,6,5,3] => [3,5,6,4,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,5,3,4,6] => [6,4,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,2,5,3,6,4] => [4,6,3,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,5,4,3,6] => [6,3,4,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,2,5,4,6,3] => [3,6,4,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,5,6,3,4] => [4,3,6,5,2,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,2,5,6,4,3] => [3,4,6,5,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,2,6,3,4,5] => [5,4,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,2,6,3,5,4] => [4,5,3,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,6,4,3,5] => [5,3,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,2,6,4,5,3] => [3,5,4,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,2,6,5,3,4] => [4,3,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,2,6,5,4,3] => [3,4,5,6,2,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,7,3,2,4,5,6] => [6,5,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[1,7,3,2,4,6,5] => [5,6,4,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,3,2,5,4,6] => [6,4,5,2,3,7,1] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,3,2,5,6,4] => [4,6,5,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,2,6,4,5] => [5,4,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,2,6,5,4] => [4,5,6,2,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,3,4,2,5,6] => [6,5,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,3,4,2,6,5] => [5,6,2,4,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,4,5,2,6] => [6,2,5,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,3,4,5,6,2] => [2,6,5,4,3,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,2,1] => 1
[1,7,3,4,6,2,5] => [5,2,6,4,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,4,6,5,2] => [2,5,6,4,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,3,5,2,4,6] => [6,4,2,5,3,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,5,2,6,4] => [4,6,2,5,3,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,5,4,2,6] => [6,2,4,5,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,5,4,6,2] => [2,6,4,5,3,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,3,5,6,2,4] => [4,2,6,5,3,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,5,6,4,2] => [2,4,6,5,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,3,6,2,4,5] => [5,4,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,6,2,5,4] => [4,5,2,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,6,4,2,5] => [5,2,4,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,6,4,5,2] => [2,5,4,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,3,6,5,2,4] => [4,2,5,6,3,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,3,6,5,4,2] => [2,4,5,6,3,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,4,2,3,5,6] => [6,5,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[1,7,4,2,3,6,5] => [5,6,3,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,2,5,3,6] => [6,3,5,2,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,2,5,6,3] => [3,6,5,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,2,6,3,5] => [5,3,6,2,4,7,1] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,2,6,5,3] => [3,5,6,2,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,3,2,5,6] => [6,5,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[1,7,4,3,2,6,5] => [5,6,2,3,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,4,3,5,2,6] => [6,2,5,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,3,5,6,2] => [2,6,5,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,4,3,6,2,5] => [5,2,6,3,4,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,3,6,5,2] => [2,5,6,3,4,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,4,5,2,3,6] => [6,3,2,5,4,7,1] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,4,5,2,6,3] => [3,6,2,5,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,5,3,2,6] => [6,2,3,5,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,4,5,3,6,2] => [2,6,3,5,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,4,5,6,2,3] => [3,2,6,5,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,4,5,6,3,2] => [2,3,6,5,4,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,4,6,2,3,5] => [5,3,2,6,4,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,6,2,5,3] => [3,5,2,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,6,3,2,5] => [5,2,3,6,4,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,4,6,3,5,2] => [2,5,3,6,4,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,4,6,5,2,3] => [3,2,5,6,4,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,4,6,5,3,2] => [2,3,5,6,4,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,5,2,3,4,6] => [6,4,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[1,7,5,2,3,6,4] => [4,6,3,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,2,4,3,6] => [6,3,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,2,4,6,3] => [3,6,4,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,2,6,3,4] => [4,3,6,2,5,7,1] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,2,6,4,3] => [3,4,6,2,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,3,2,4,6] => [6,4,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,3,2,6,4] => [4,6,2,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,3,4,2,6] => [6,2,4,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,5,3,4,6,2] => [2,6,4,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,5,3,6,2,4] => [4,2,6,3,5,7,1] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,3,6,4,2] => [2,4,6,3,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,5,4,2,3,6] => [6,3,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[1,7,5,4,2,6,3] => [3,6,2,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[1,7,5,4,3,2,6] => [6,2,3,4,5,7,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[1,7,5,4,3,6,2] => [2,6,3,4,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,5,4,6,2,3] => [3,2,6,4,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,5,4,6,3,2] => [2,3,6,4,5,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,5,6,2,3,4] => [4,3,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,5,6,2,4,3] => [3,4,2,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,5,6,3,2,4] => [4,2,3,6,5,7,1] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,5,6,3,4,2] => [2,4,3,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,5,6,4,2,3] => [3,2,4,6,5,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,5,6,4,3,2] => [2,3,4,6,5,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[1,7,6,2,3,4,5] => [5,4,3,2,6,7,1] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,2,1] => 1
[1,7,6,2,3,5,4] => [4,5,3,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,6,2,4,3,5] => [5,3,4,2,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,6,2,4,5,3] => [3,5,4,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,2,5,3,4] => [4,3,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,2,5,4,3] => [3,4,5,2,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,6,3,2,4,5] => [5,4,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,2,1] => 1
[1,7,6,3,2,5,4] => [4,5,2,3,6,7,1] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,6,3,4,2,5] => [5,2,4,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,3,4,5,2] => [2,5,4,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,6,3,5,2,4] => [4,2,5,3,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,3,5,4,2] => [2,4,5,3,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,6,4,2,3,5] => [5,3,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,4,2,5,3] => [3,5,2,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[1,7,6,4,3,2,5] => [5,2,3,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,2,1] => 1
[1,7,6,4,3,5,2] => [2,5,3,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,6,4,5,2,3] => [3,2,5,4,6,7,1] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,6,4,5,3,2] => [2,3,5,4,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[1,7,6,5,2,3,4] => [4,3,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,3,1] => 1
[1,7,6,5,2,4,3] => [3,4,2,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,6,5,3,2,4] => [4,2,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[1,7,6,5,3,4,2] => [2,4,3,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[1,7,6,5,4,2,3] => [3,2,4,5,6,7,1] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 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) => [1,5,1] => 1
[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) => [5,1,1] => 1
[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) => [4,2,1] => 1
[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) => [4,2,1] => 1
[2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1
[2,1,3,4,7,5,6] => [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) => [3,1,1,1,1] => 1
[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) => [3,1,2,1] => 1
[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) => [4,2,1] => 1
[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) => [3,3,1] => 1
[2,1,3,5,6,4,7] => [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) => [3,1,1,1,1] => 1
[2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,1,1] => 1
[2,1,3,5,7,4,6] => [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) => [2,1,2,1,1] => 1
[2,1,3,5,7,6,4] => [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) => [2,1,1,1,1,1] => 1
[2,1,3,6,4,5,7] => [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) => [3,1,1,1,1] => 1
[2,1,3,6,4,7,5] => [5,7,4,6,3,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,2,1,1] => 1
[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) => [3,1,2,1] => 1
[2,1,3,6,5,7,4] => [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) => [2,1,1,1,1,1] => 1
[2,1,3,6,7,4,5] => [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) => [2,3,1,1] => 1
[2,1,3,6,7,5,4] => [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) => [2,2,2,1] => 1
[2,1,3,7,4,5,6] => [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) => [2,2,1,1,1] => 1
[2,1,3,7,4,6,5] => [5,6,4,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => 1
[2,1,3,7,5,4,6] => [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) => [2,1,1,1,1,1] => 1
[2,1,3,7,5,6,4] => [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) => [2,2,2,1] => 1
[2,1,3,7,6,4,5] => [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) => [2,2,2,1] => 1
[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) => [2,1,3,1] => 1
[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) => [4,2,1] => 1
[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) => [3,3,1] => 1
[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) => [3,3,1] => 1
[2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,1,2,1,1] => 1
[2,1,4,3,7,5,6] => [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) => [2,1,2,1,1] => 1
[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) => [2,2,2,1] => 1
[2,1,4,5,3,6,7] => [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) => [3,1,1,1,1] => 1
[2,1,4,5,3,7,6] => [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) => [2,1,2,1,1] => 1
[2,1,4,5,6,3,7] => [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) => [2,2,1,1,1] => 1
[2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,1,1] => 1
[2,1,4,5,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,4,5,7,6,3] => [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) => [1,2,1,1,1,1] => 1
[2,1,4,6,3,5,7] => [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) => [2,1,2,1,1] => 1
[2,1,4,6,3,7,5] => [5,7,3,6,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,4,6,5,3,7] => [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) => [2,1,1,1,1,1] => 1
[2,1,4,6,5,7,3] => [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) => [1,2,1,1,1,1] => 1
[2,1,4,6,7,3,5] => [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) => [1,1,2,1,1,1] => 1
[2,1,4,6,7,5,3] => [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) => [1,1,2,1,1,1] => 1
[2,1,4,7,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,4,7,3,6,5] => [5,6,3,7,4,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,4,7,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,4,7,5,6,3] => [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) => [1,1,2,1,1,1] => 1
[2,1,4,7,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,4,7,6,5,3] => [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) => [1,1,1,2,1,1] => 1
[2,1,5,3,4,6,7] => [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) => [3,1,1,1,1] => 1
[2,1,5,3,4,7,6] => [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) => [2,1,2,1,1] => 1
[2,1,5,3,6,4,7] => [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) => [2,1,2,1,1] => 1
[2,1,5,3,6,7,4] => [4,7,6,3,5,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,5,3,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,5,3,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[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) => [3,1,2,1] => 1
[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) => [2,2,2,1] => 1
[2,1,5,4,6,3,7] => [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) => [2,1,1,1,1,1] => 1
[2,1,5,4,6,7,3] => [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) => [1,2,1,1,1,1] => 1
[2,1,5,4,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,5,4,7,6,3] => [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) => [1,1,1,2,1,1] => 1
[2,1,5,6,3,4,7] => [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) => [2,3,1,1] => 1
[2,1,5,6,3,7,4] => [4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[2,1,5,6,4,3,7] => [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) => [2,2,2,1] => 1
[2,1,5,6,4,7,3] => [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) => [1,1,2,1,1,1] => 1
[2,1,5,6,7,3,4] => [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) => [1,3,1,1,1] => 1
[2,1,5,6,7,4,3] => [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) => [1,3,2,1] => 1
[2,1,5,7,3,4,6] => [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) => [1,1,2,1,1,1] => 1
[2,1,5,7,3,6,4] => [4,6,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,5,7,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,5,7,4,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,5,7,6,3,4] => [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) => [1,2,1,1,1,1] => 1
[2,1,5,7,6,4,3] => [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) => [1,2,1,2,1] => 1
[2,1,6,3,4,5,7] => [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) => [2,2,1,1,1] => 1
[2,1,6,3,4,7,5] => [5,7,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,6,3,5,4,7] => [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) => [2,1,1,1,1,1] => 1
[2,1,6,3,5,7,4] => [4,7,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,6,3,7,4,5] => [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) => [1,1,2,1,1,1] => 1
[2,1,6,3,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,6,4,3,5,7] => [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) => [2,1,1,1,1,1] => 1
[2,1,6,4,3,7,5] => [5,7,3,4,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,6,4,5,3,7] => [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) => [2,2,2,1] => 1
[2,1,6,4,5,7,3] => [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) => [1,1,2,1,1,1] => 1
[2,1,6,4,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,6,4,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,6,5,3,4,7] => [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) => [2,2,2,1] => 1
[2,1,6,5,3,7,4] => [4,7,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[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) => [2,1,3,1] => 1
[2,1,6,5,4,7,3] => [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) => [1,1,1,2,1,1] => 1
[2,1,6,5,7,3,4] => [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) => [1,2,1,1,1,1] => 1
[2,1,6,5,7,4,3] => [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) => [1,2,1,2,1] => 1
[2,1,6,7,3,4,5] => [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) => [1,3,1,1,1] => 1
[2,1,6,7,3,5,4] => [4,5,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[2,1,6,7,4,3,5] => [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) => [1,2,1,1,1,1] => 1
[2,1,6,7,4,5,3] => [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) => [1,1,2,2,1] => 1
[2,1,6,7,5,3,4] => [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) => [1,1,2,2,1] => 1
[2,1,6,7,5,4,3] => [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) => [1,1,1,3,1] => 1
[2,1,7,3,4,5,6] => [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) => [1,3,1,1,1] => 1
[2,1,7,3,4,6,5] => [5,6,4,3,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[2,1,7,3,5,4,6] => [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) => [1,2,1,1,1,1] => 1
[2,1,7,3,5,6,4] => [4,6,5,3,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[2,1,7,3,6,4,5] => [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) => [1,1,2,1,1,1] => 1
[2,1,7,3,6,5,4] => [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) => [1,1,1,2,1,1] => 1
[2,1,7,4,3,5,6] => [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) => [1,2,1,1,1,1] => 1
[2,1,7,4,3,6,5] => [5,6,3,4,7,1,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,1,7,4,5,3,6] => [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) => [1,1,2,1,1,1] => 1
[2,1,7,4,5,6,3] => [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) => [1,3,2,1] => 1
[2,1,7,4,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,1,7,4,6,5,3] => [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) => [1,2,1,2,1] => 1
[2,1,7,5,3,4,6] => [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) => [1,1,2,1,1,1] => 1
[2,1,7,5,3,6,4] => [4,6,3,5,7,1,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,1,7,5,4,3,6] => [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) => [1,1,1,2,1,1] => 1
[2,1,7,5,4,6,3] => [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) => [1,2,1,2,1] => 1
[2,1,7,5,6,3,4] => [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) => [1,1,2,2,1] => 1
[2,1,7,5,6,4,3] => [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) => [1,1,1,3,1] => 1
[2,1,7,6,3,4,5] => [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) => [1,3,2,1] => 1
[2,1,7,6,3,5,4] => [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) => [1,2,1,2,1] => 1
[2,1,7,6,4,3,5] => [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) => [1,2,1,2,1] => 1
[2,1,7,6,4,5,3] => [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) => [1,1,1,3,1] => 1
[2,1,7,6,5,3,4] => [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) => [1,1,1,3,1] => 1
[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) => [1,1,4,1] => 1
[2,3,1,4,5,6,7] => [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) => [4,1,1,1] => 1
[2,3,1,4,5,7,6] => [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) => [3,1,1,1,1] => 1
[2,3,1,4,6,5,7] => [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) => [3,1,1,1,1] => 1
[2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => 1
[2,3,1,4,7,5,6] => [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) => [2,2,2,1] => 1
[2,3,1,4,7,6,5] => [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) => [2,1,3,1] => 1
[2,3,1,5,4,6,7] => [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) => [3,1,1,1,1] => 1
[2,3,1,5,4,7,6] => [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) => [2,1,2,1,1] => 1
[2,3,1,5,6,4,7] => [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) => [2,2,2,1] => 1
[2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,3,1,5,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,1,5,7,6,4] => [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) => [1,2,2,1,1] => 1
[2,3,1,6,4,5,7] => [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) => [2,2,2,1] => 1
[2,3,1,6,4,7,5] => [5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,1,6,5,4,7] => [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) => [2,1,3,1] => 1
[2,3,1,6,5,7,4] => [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) => [1,2,2,1,1] => 1
[2,3,1,6,7,4,5] => [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) => [1,1,2,1,1,1] => 1
[2,3,1,6,7,5,4] => [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) => [1,1,1,1,2,1] => 1
[2,3,1,7,4,5,6] => [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) => [1,3,1,1,1] => 1
[2,3,1,7,4,6,5] => [5,6,4,7,1,3,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[2,3,1,7,5,4,6] => [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) => [1,2,2,1,1] => 1
[2,3,1,7,5,6,4] => [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) => [1,1,1,1,2,1] => 1
[2,3,1,7,6,4,5] => [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) => [1,1,1,1,2,1] => 1
[2,3,1,7,6,5,4] => [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) => [1,1,1,3,1] => 1
[2,3,4,1,5,6,7] => [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) => [3,2,1,1] => 1
[2,3,4,1,5,7,6] => [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) => [2,2,1,1,1] => 1
[2,3,4,1,6,5,7] => [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) => [2,2,1,1,1] => 1
[2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,3,4,1,7,5,6] => [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) => [1,3,1,1,1] => 1
[2,3,4,1,7,6,5] => [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) => [1,2,2,1,1] => 1
[2,3,4,5,1,6,7] => [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) => [2,3,1,1] => 1
[2,3,4,5,1,7,6] => [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) => [1,3,1,1,1] => 1
[2,3,4,5,6,1,7] => [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) => [1,4,1,1] => 1
[2,3,4,5,6,7,1] => [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) => [5,2] => 2
[2,3,4,5,7,1,6] => [6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,3,4,5,7,6,1] => [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) => [4,1,2] => 2
[2,3,4,6,1,5,7] => [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) => [1,1,2,1,1,1] => 1
[2,3,4,6,1,7,5] => [5,7,1,6,4,3,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,4,6,5,1,7] => [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) => [1,3,1,1,1] => 1
[2,3,4,6,5,7,1] => [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) => [4,1,2] => 2
[2,3,4,6,7,1,5] => [5,1,7,6,4,3,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,4,6,7,5,1] => [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) => [3,1,1,2] => 2
[2,3,4,7,1,5,6] => [6,5,1,7,4,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,3,4,7,1,6,5] => [5,6,1,7,4,3,2] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,4,7,5,1,6] => [6,1,5,7,4,3,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,4,7,5,6,1] => [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) => [3,1,1,2] => 2
[2,3,4,7,6,1,5] => [5,1,6,7,4,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,4,7,6,5,1] => [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) => [3,2,2] => 2
[2,3,5,1,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,3,5,1,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,5,1,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,5,1,6,7,4] => [4,7,6,1,5,3,2] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,5,1,7,4,6] => [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) => [1,2,1,1,1,1] => 1
[2,3,5,1,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,5,4,1,6,7] => [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) => [2,2,1,1,1] => 1
[2,3,5,4,1,7,6] => [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) => [1,2,1,1,1,1] => 1
[2,3,5,4,6,1,7] => [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) => [1,3,1,1,1] => 1
[2,3,5,4,6,7,1] => [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) => [4,1,2] => 2
[2,3,5,4,7,1,6] => [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) => [1,2,1,1,1,1] => 1
[2,3,5,4,7,6,1] => [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) => [3,2,2] => 2
[2,3,5,6,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,5,6,1,7,4] => [4,7,1,6,5,3,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,5,6,4,1,7] => [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) => [1,2,1,1,1,1] => 1
[2,3,5,6,4,7,1] => [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) => [3,1,1,2] => 2
[2,3,5,6,7,1,4] => [4,1,7,6,5,3,2] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,3,5,6,7,4,1] => [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) => [2,2,1,2] => 2
[2,3,5,7,1,4,6] => [6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,5,7,1,6,4] => [4,6,1,7,5,3,2] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,5,7,4,1,6] => [6,1,4,7,5,3,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,5,7,4,6,1] => [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) => [2,1,1,1,2] => 2
[2,3,5,7,6,1,4] => [4,1,6,7,5,3,2] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,5,7,6,4,1] => [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) => [2,1,1,1,2] => 2
[2,3,6,1,4,5,7] => [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) => [1,1,2,1,1,1] => 1
[2,3,6,1,4,7,5] => [5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,1,5,4,7] => [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) => [1,1,1,2,1,1] => 1
[2,3,6,1,5,7,4] => [4,7,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,1,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,1,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,4,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,4,1,7,5] => [5,7,1,4,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,4,5,1,7] => [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) => [1,2,1,1,1,1] => 1
[2,3,6,4,5,7,1] => [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) => [3,1,1,2] => 2
[2,3,6,4,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,4,7,5,1] => [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) => [2,1,1,1,2] => 2
[2,3,6,5,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,5,1,7,4] => [4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,5,4,1,7] => [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) => [1,2,2,1,1] => 1
[2,3,6,5,4,7,1] => [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) => [3,2,2] => 2
[2,3,6,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,3,6,5,7,4,1] => [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) => [2,1,1,1,2] => 2
[2,3,6,7,1,4,5] => [5,4,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,7,1,5,4] => [4,5,1,7,6,3,2] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,7,4,1,5] => [5,1,4,7,6,3,2] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,7,4,5,1] => [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) => [2,2,1,2] => 2
[2,3,6,7,5,1,4] => [4,1,5,7,6,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,6,7,5,4,1] => [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) => [2,1,2,2] => 2
[2,3,7,1,4,5,6] => [6,5,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,3,7,1,4,6,5] => [5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,7,1,5,4,6] => [6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,7,1,5,6,4] => [4,6,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,1,6,4,5] => [5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,1,6,5,4] => [4,5,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,3,7,4,1,6,5] => [5,6,1,4,7,3,2] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,4,5,1,6] => [6,1,5,4,7,3,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,4,5,6,1] => [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) => [2,2,1,2] => 2
[2,3,7,4,6,1,5] => [5,1,6,4,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,4,6,5,1] => [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) => [2,1,1,1,2] => 2
[2,3,7,5,1,4,6] => [6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,5,1,6,4] => [4,6,1,5,7,3,2] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,5,4,1,6] => [6,1,4,5,7,3,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,5,4,6,1] => [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) => [2,1,1,1,2] => 2
[2,3,7,5,6,1,4] => [4,1,6,5,7,3,2] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,5,6,4,1] => [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) => [2,1,2,2] => 2
[2,3,7,6,1,4,5] => [5,4,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,6,1,5,4] => [4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,6,4,1,5] => [5,1,4,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,3,7,6,4,5,1] => [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) => [2,1,2,2] => 2
[2,3,7,6,5,1,4] => [4,1,5,6,7,3,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,3,7,6,5,4,1] => [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) => [2,3,2] => 2
[2,4,1,3,5,6,7] => [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) => [3,1,1,1,1] => 1
[2,4,1,3,5,7,6] => [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) => [2,1,2,1,1] => 1
[2,4,1,3,6,5,7] => [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) => [2,1,2,1,1] => 1
[2,4,1,3,6,7,5] => [5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,1,3,7,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,3,7,6,5] => [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) => [1,1,1,2,1,1] => 1
[2,4,1,5,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,4,1,5,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,5,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,5,6,7,3] => [3,7,6,5,1,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,4,1,5,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,5,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,6,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,6,3,7,5] => [5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,1,6,5,3,7] => [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) => [1,1,1,2,1,1] => 1
[2,4,1,6,5,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,6,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,6,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,7,3,5,6] => [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) => [1,2,1,1,1,1] => 1
[2,4,1,7,3,6,5] => [5,6,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,1,7,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,7,5,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,7,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,1,7,6,5,3] => [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) => [1,1,1,2,1,1] => 1
[2,4,3,1,5,6,7] => [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) => [3,1,1,1,1] => 1
[2,4,3,1,5,7,6] => [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) => [2,1,1,1,1,1] => 1
[2,4,3,1,6,5,7] => [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) => [2,1,1,1,1,1] => 1
[2,4,3,1,6,7,5] => [5,7,6,1,3,4,2] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[2,4,3,1,7,5,6] => [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) => [1,2,2,1,1] => 1
[2,4,3,1,7,6,5] => [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) => [1,1,3,1,1] => 1
[2,4,3,5,1,6,7] => [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) => [2,2,1,1,1] => 1
[2,4,3,5,1,7,6] => [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) => [1,2,1,1,1,1] => 1
[2,4,3,5,6,1,7] => [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) => [1,3,1,1,1] => 1
[2,4,3,5,6,7,1] => [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) => [4,1,2] => 2
[2,4,3,5,7,1,6] => [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) => [1,2,1,1,1,1] => 1
[2,4,3,5,7,6,1] => [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) => [3,2,2] => 2
[2,4,3,6,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,3,6,1,7,5] => [5,7,1,6,3,4,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,3,6,5,1,7] => [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) => [1,2,2,1,1] => 1
[2,4,3,6,5,7,1] => [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) => [3,2,2] => 2
[2,4,3,6,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,3,6,7,5,1] => [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) => [2,1,1,1,2] => 2
[2,4,3,7,1,5,6] => [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) => [1,2,1,1,1,1] => 1
[2,4,3,7,1,6,5] => [5,6,1,7,3,4,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,4,3,7,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,3,7,5,6,1] => [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) => [2,1,1,1,2] => 2
[2,4,3,7,6,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,3,7,6,5,1] => [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) => [2,1,2,2] => 2
[2,4,5,1,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,4,5,1,3,7,6] => [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) => [1,1,2,1,1,1] => 1
[2,4,5,1,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,5,1,6,7,3] => [3,7,6,1,5,4,2] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,5,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,5,1,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,5,3,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,4,5,3,1,7,6] => [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) => [1,1,2,1,1,1] => 1
[2,4,5,3,6,1,7] => [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) => [1,2,1,1,1,1] => 1
[2,4,5,3,6,7,1] => [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) => [3,1,1,2] => 2
[2,4,5,3,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,5,3,7,6,1] => [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) => [2,1,1,1,2] => 2
[2,4,5,6,1,3,7] => [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) => [1,1,2,1,1,1] => 1
[2,4,5,6,1,7,3] => [3,7,1,6,5,4,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,4,5,6,3,1,7] => [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) => [1,1,2,1,1,1] => 1
[2,4,5,6,3,7,1] => [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) => [2,2,1,2] => 2
[2,4,5,6,7,1,3] => [3,1,7,6,5,4,2] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,4,5,6,7,3,1] => [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) => [1,3,1,2] => 2
[2,4,5,7,1,3,6] => [6,3,1,7,5,4,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,5,7,1,6,3] => [3,6,1,7,5,4,2] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,5,7,3,1,6] => [6,1,3,7,5,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,5,7,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,5,7,6,1,3] => [3,1,6,7,5,4,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,4,5,7,6,3,1] => [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) => [1,2,1,1,2] => 2
[2,4,6,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,1,3,7,5] => [5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,1,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,1,5,7,3] => [3,7,5,1,6,4,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,1,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,3,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,3,1,7,5] => [5,7,1,3,6,4,2] => ([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,3,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,3,5,7,1] => [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) => [2,1,1,1,2] => 2
[2,4,6,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,3,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,6,5,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,5,1,7,3] => [3,7,1,5,6,4,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,5,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,4,6,5,3,7,1] => [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) => [2,1,1,1,2] => 2
[2,4,6,5,7,1,3] => [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) => [1,2,1,1,1,1] => 1
[2,4,6,5,7,3,1] => [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) => [1,2,1,1,2] => 2
[2,4,6,7,1,3,5] => [5,3,1,7,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,4,6,7,1,5,3] => [3,5,1,7,6,4,2] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,7,3,1,5] => [5,1,3,7,6,4,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,7,3,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,6,7,5,1,3] => [3,1,5,7,6,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,6,7,5,3,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,1,3,5,6] => [6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,4,7,1,3,6,5] => [5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,1,5,3,6] => [6,3,5,1,7,4,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,1,5,6,3] => [3,6,5,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,1,6,3,5] => [5,3,6,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,1,6,5,3] => [3,5,6,1,7,4,2] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,3,1,5,6] => [6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,3,1,6,5] => [5,6,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,3,5,1,6] => [6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,3,5,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,3,6,1,5] => [5,1,6,3,7,4,2] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,3,6,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,5,1,3,6] => [6,3,1,5,7,4,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,5,1,6,3] => [3,6,1,5,7,4,2] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,5,3,1,6] => [6,1,3,5,7,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,5,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,5,6,1,3] => [3,1,6,5,7,4,2] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,5,6,3,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,6,1,3,5] => [5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,6,1,5,3] => [3,5,1,6,7,4,2] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,6,3,1,5] => [5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,4,7,6,3,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,4,7,6,5,1,3] => [3,1,5,6,7,4,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,4,7,6,5,3,1] => [1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[2,5,1,3,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,5,1,3,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,3,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,3,6,7,4] => [4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,1,3,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,3,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,4,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,5,1,4,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,4,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,4,6,7,3] => [3,7,6,4,1,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,1,4,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,4,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,6,3,4,7] => [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) => [1,1,2,1,1,1] => 1
[2,5,1,6,3,7,4] => [4,7,3,6,1,5,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,1,6,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,6,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,6,7,3,4] => [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) => [1,2,1,1,1,1] => 1
[2,5,1,6,7,4,3] => [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) => [1,2,1,1,1,1] => 1
[2,5,1,7,3,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,7,3,6,4] => [4,6,3,7,1,5,2] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,1,7,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,7,4,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,7,6,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,1,7,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,1,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,5,3,1,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,1,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,1,6,7,4] => [4,7,6,1,3,5,2] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,3,1,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,1,7,6,4] => [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) => [1,1,2,1,1,1] => 1
[2,5,3,4,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,5,3,4,1,7,6] => [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) => [1,1,2,1,1,1] => 1
[2,5,3,4,6,1,7] => [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) => [1,2,1,1,1,1] => 1
[2,5,3,4,6,7,1] => [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) => [3,1,1,2] => 2
[2,5,3,4,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,4,7,6,1] => [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) => [2,1,1,1,2] => 2
[2,5,3,6,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,6,1,7,4] => [4,7,1,6,3,5,2] => ([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,3,6,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,6,4,7,1] => [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) => [2,1,1,1,2] => 2
[2,5,3,6,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,6,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,3,7,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,7,1,6,4] => [4,6,1,7,3,5,2] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,3,7,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,7,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,3,7,6,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,3,7,6,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,4,1,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[2,5,4,1,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,1,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,1,6,7,3] => [3,7,6,1,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,4,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,1,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,3,1,6,7] => [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) => [2,1,2,1,1] => 1
[2,5,4,3,1,7,6] => [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) => [1,1,1,2,1,1] => 1
[2,5,4,3,6,1,7] => [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) => [1,2,2,1,1] => 1
[2,5,4,3,6,7,1] => [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) => [3,2,2] => 2
[2,5,4,3,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[2,5,4,3,7,6,1] => [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) => [2,1,2,2] => 2
[2,5,4,6,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,6,1,7,3] => [3,7,1,6,4,5,2] => ([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,4,6,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,6,3,7,1] => [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) => [2,1,1,1,2] => 2
[2,5,4,6,7,1,3] => [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) => [1,2,1,1,1,1] => 1
[2,5,4,6,7,3,1] => [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) => [1,2,1,1,2] => 2
[2,5,4,7,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,7,1,6,3] => [3,6,1,7,4,5,2] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,4,7,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,4,7,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,4,7,6,1,3] => [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) => [1,1,2,1,1,1] => 1
[2,5,4,7,6,3,1] => [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) => [1,1,2,1,2] => 2
[2,5,6,1,3,4,7] => [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) => [1,1,1,2,1,1] => 1
[2,5,6,1,3,7,4] => [4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,6,1,4,3,7] => [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) => [1,1,2,1,1,1] => 1
[2,5,6,1,4,7,3] => [3,7,4,1,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,6,1,7,3,4] => [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) => [1,1,2,1,1,1] => 1
[2,5,6,1,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,6,3,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,6,3,1,7,4] => [4,7,1,3,6,5,2] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,6,3,4,1,7] => [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) => [1,1,2,1,1,1] => 1
[2,5,6,3,4,7,1] => [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) => [2,2,1,2] => 2
[2,5,6,3,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,6,3,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,6,4,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,6,4,1,7,3] => [3,7,1,4,6,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,6,4,3,1,7] => [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) => [1,1,1,2,1,1] => 1
[2,5,6,4,3,7,1] => [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) => [2,1,2,2] => 2
[2,5,6,4,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,5,6,4,7,3,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,6,7,1,3,4] => [4,3,1,7,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,5,6,7,1,4,3] => [3,4,1,7,6,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,5,6,7,3,1,4] => [4,1,3,7,6,5,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,5,6,7,3,4,1] => [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) => [1,2,1,1,2] => 2
[2,5,6,7,4,1,3] => [3,1,4,7,6,5,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,5,7,1,3,4,6] => [6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,1,3,6,4] => [4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,1,4,3,6] => [6,3,4,1,7,5,2] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,1,4,6,3] => [3,6,4,1,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,1,6,3,4] => [4,3,6,1,7,5,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,1,6,4,3] => [3,4,6,1,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,3,1,4,6] => [6,4,1,3,7,5,2] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,3,1,6,4] => [4,6,1,3,7,5,2] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,3,4,1,6] => [6,1,4,3,7,5,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,3,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,7,3,6,1,4] => [4,1,6,3,7,5,2] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,3,6,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,7,4,1,3,6] => [6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,4,1,6,3] => [3,6,1,4,7,5,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,4,3,1,6] => [6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,4,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,5,7,4,6,1,3] => [3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,4,6,3,1] => [1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,5,7,6,1,3,4] => [4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,5,7,6,1,4,3] => [3,4,1,6,7,5,2] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,5,7,6,3,1,4] => [4,1,3,6,7,5,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,6,3,4,1] => [1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,5,7,6,4,1,3] => [3,1,4,6,7,5,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,6,1,3,4,5,7] => [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) => [1,1,2,1,1,1] => 1
[2,6,1,3,4,7,5] => [5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,3,5,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,3,5,7,4] => [4,7,5,3,1,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,3,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,3,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,3,7,5] => [5,7,3,4,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,5,7,3] => [3,7,5,4,1,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,4,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,5,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,5,3,7,4] => [4,7,3,5,1,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,5,4,3,7] => [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) => [1,1,1,2,1,1] => 1
[2,6,1,5,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,5,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,5,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,7,3,4,5] => [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) => [1,2,1,1,1,1] => 1
[2,6,1,7,3,5,4] => [4,5,3,7,1,6,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,1,7,4,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,7,4,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,7,5,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,1,7,5,4,3] => [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) => [1,1,1,2,1,1] => 1
[2,6,3,1,4,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,1,4,7,5] => [5,7,4,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,3,1,5,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,1,5,7,4] => [4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,3,1,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,1,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,4,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,4,1,7,5] => [5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,3,4,5,1,7] => [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) => [1,1,2,1,1,1] => 1
[2,6,3,4,5,7,1] => [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) => [2,2,1,2] => 2
[2,6,3,4,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,4,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,3,5,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,5,1,7,4] => [4,7,1,5,3,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,3,5,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,5,4,7,1] => [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) => [2,1,1,1,2] => 2
[2,6,3,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,5,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,3,7,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,7,1,5,4] => [4,5,1,7,3,6,2] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,3,7,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,7,4,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,3,7,5,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,3,7,5,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,4,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,1,3,7,5] => [5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,4,1,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,1,5,7,3] => [3,7,5,1,4,6,2] => ([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,4,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,1,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,3,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,3,1,7,5] => [5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,4,3,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,3,5,7,1] => [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) => [2,1,1,1,2] => 2
[2,6,4,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,3,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,4,5,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,5,1,7,3] => [3,7,1,5,4,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,4,5,3,1,7] => [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) => [1,1,1,2,1,1] => 1
[2,6,4,5,3,7,1] => [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) => [2,1,2,2] => 2
[2,6,4,5,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,5,7,3,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,4,7,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,7,1,5,3] => [3,5,1,7,4,6,2] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,4,7,3,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,7,3,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,4,7,5,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,4,7,5,3,1] => [1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,6,5,1,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,1,3,7,4] => [4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,5,1,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,1,4,7,3] => [3,7,4,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,5,1,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,1,7,4,3] => [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) => [1,1,1,2,1,1] => 1
[2,6,5,3,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,3,1,7,4] => [4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,5,3,4,1,7] => [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) => [1,1,1,2,1,1] => 1
[2,6,5,3,4,7,1] => [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) => [2,1,2,2] => 2
[2,6,5,3,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,3,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,6,5,4,1,3,7] => [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) => [1,1,1,2,1,1] => 1
[2,6,5,4,1,7,3] => [3,7,1,4,5,6,2] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,6,5,4,3,1,7] => [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) => [1,1,3,1,1] => 1
[2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[2,6,5,4,7,1,3] => [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) => [1,1,1,2,1,1] => 1
[2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[2,6,5,7,1,3,4] => [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) => [1,2,1,1,1,1] => 1
[2,6,5,7,1,4,3] => [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) => [1,1,1,2,1,1] => 1
[2,6,5,7,3,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[2,6,5,7,3,4,1] => [1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,6,5,7,4,1,3] => [3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,6,7,1,3,4,5] => [5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,6,7,1,3,5,4] => [4,5,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,6,7,1,4,3,5] => [5,3,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,6,7,1,4,5,3] => [3,5,4,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,1,5,3,4] => [4,3,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,1,5,4,3] => [3,4,5,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,6,7,3,1,4,5] => [5,4,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,3,1,5,4] => [4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,6,7,3,4,1,5] => [5,1,4,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,3,4,5,1] => [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) => [1,2,1,1,2] => 2
[2,6,7,3,5,1,4] => [4,1,5,3,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,3,5,4,1] => [1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,6,7,4,1,3,5] => [5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,4,1,5,3] => [3,5,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,4,3,1,5] => [5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,4,3,5,1] => [1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,6,7,4,5,1,3] => [3,1,5,4,7,6,2] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,6,7,4,5,3,1] => [1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,6,7,5,1,3,4] => [4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,5,1,4,3] => [3,4,1,5,7,6,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,5,3,1,4] => [4,1,3,5,7,6,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,6,7,5,3,4,1] => [1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,6,7,5,4,1,3] => [3,1,4,5,7,6,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[2,7,1,3,4,5,6] => [6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[2,7,1,3,4,6,5] => [5,6,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,1,3,5,4,6] => [6,4,5,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,1,3,5,6,4] => [4,6,5,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,3,6,4,5] => [5,4,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,3,6,5,4] => [4,5,6,3,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,4,3,5,6] => [6,5,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,1,4,3,6,5] => [5,6,3,4,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,4,5,3,6] => [6,3,5,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,4,5,6,3] => [3,6,5,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[2,7,1,4,6,3,5] => [5,3,6,4,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,4,6,5,3] => [3,5,6,4,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,5,3,4,6] => [6,4,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,5,3,6,4] => [4,6,3,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,5,4,3,6] => [6,3,4,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,5,4,6,3] => [3,6,4,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,5,6,3,4] => [4,3,6,5,1,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[2,7,1,5,6,4,3] => [3,4,6,5,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,6,3,4,5] => [5,4,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[2,7,1,6,3,5,4] => [4,5,3,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,6,4,3,5] => [5,3,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,1,6,4,5,3] => [3,5,4,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,6,5,3,4] => [4,3,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,7,1,6,5,4,3] => [3,4,5,6,1,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,1,1] => 1
[2,7,3,1,4,5,6] => [6,5,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,3,1,4,6,5] => [5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,1,5,4,6] => [6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,1,5,6,4] => [4,6,5,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,1,6,4,5] => [5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,1,6,5,4] => [4,5,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,3,4,1,5,6] => [6,5,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,4,1,6,5] => [5,6,1,4,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,7,3,4,5,6,1] => [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) => [1,3,1,2] => 2
[2,7,3,4,6,1,5] => [5,1,6,4,3,7,2] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,4,6,5,1] => [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) => [1,2,1,1,2] => 2
[2,7,3,5,1,4,6] => [6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,5,1,6,4] => [4,6,1,5,3,7,2] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,5,4,1,6] => [6,1,4,5,3,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,5,4,6,1] => [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) => [1,2,1,1,2] => 2
[2,7,3,5,6,1,4] => [4,1,6,5,3,7,2] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,5,6,4,1] => [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) => [1,1,1,1,1,2] => 2
[2,7,3,6,1,4,5] => [5,4,1,6,3,7,2] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,6,1,5,4] => [4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,6,4,1,5] => [5,1,4,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,6,4,5,1] => [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) => [1,1,1,1,1,2] => 2
[2,7,3,6,5,1,4] => [4,1,5,6,3,7,2] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,3,6,5,4,1] => [1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[2,7,4,1,3,5,6] => [6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,1,3,6,5] => [5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,1,5,3,6] => [6,3,5,1,4,7,2] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,1,5,6,3] => [3,6,5,1,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,1,6,3,5] => [5,3,6,1,4,7,2] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,1,6,5,3] => [3,5,6,1,4,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,3,1,5,6] => [6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,3,1,6,5] => [5,6,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,3,5,1,6] => [6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,3,5,6,1] => [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) => [1,2,1,1,2] => 2
[2,7,4,3,6,1,5] => [5,1,6,3,4,7,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,3,6,5,1] => [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) => [1,1,2,1,2] => 2
[2,7,4,5,1,3,6] => [6,3,1,5,4,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,5,1,6,3] => [3,6,1,5,4,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,5,3,1,6] => [6,1,3,5,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,5,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,7,4,5,6,1,3] => [3,1,6,5,4,7,2] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,4,5,6,3,1] => [1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,7,4,6,1,3,5] => [5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,6,1,5,3] => [3,5,1,6,4,7,2] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,6,3,1,5] => [5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,6,3,5,1] => [1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,7,4,6,5,1,3] => [3,1,5,6,4,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,4,6,5,3,1] => [1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,7,5,1,3,4,6] => [6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,1,3,6,4] => [4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,1,4,3,6] => [6,3,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,1,4,6,3] => [3,6,4,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,1,6,3,4] => [4,3,6,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,1,6,4,3] => [3,4,6,1,5,7,2] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,3,1,4,6] => [6,4,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,3,1,6,4] => [4,6,1,3,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,3,4,1,6] => [6,1,4,3,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,3,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[2,7,5,3,6,1,4] => [4,1,6,3,5,7,2] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,3,6,4,1] => [1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[2,7,5,4,1,3,6] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,4,1,6,3] => [3,6,1,4,5,7,2] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,4,3,1,6] => [6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[2,7,5,4,3,6,1] => [1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[2,7,5,4,6,1,3] => [3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,4,6,3,1] => [1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,7,5,6,1,3,4] => [4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,6,1,4,3] => [3,4,1,6,5,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,6,3,1,4] => [4,1,3,6,5,7,2] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,5,6,3,4,1] => [1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,7,5,6,4,1,3] => [3,1,4,6,5,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,5,6,4,3,1] => [1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[2,7,6,1,3,4,5] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[2,7,6,1,3,5,4] => [4,5,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,1,4,3,5] => [5,3,4,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,1,4,5,3] => [3,5,4,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,1,5,3,4] => [4,3,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,1,5,4,3] => [3,4,5,1,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[2,7,6,3,1,4,5] => [5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,3,1,5,4] => [4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,3,4,1,5] => [5,1,4,3,6,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,3,4,5,1] => [1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[2,7,6,3,5,1,4] => [4,1,5,3,6,7,2] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,3,5,4,1] => [1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,7,6,4,1,3,5] => [5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,4,1,5,3] => [3,5,1,4,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,4,3,1,5] => [5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[2,7,6,4,3,5,1] => [1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[2,7,6,4,5,1,3] => [3,1,5,4,6,7,2] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,6,4,5,3,1] => [1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[2,7,6,5,1,3,4] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,6,5,1,4,3] => [3,4,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[2,7,6,5,3,1,4] => [4,1,3,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[2,7,6,5,3,4,1] => [1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[2,7,6,5,4,1,3] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,4,2] => 2
[3,1,2,4,5,6,7] => [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) => [4,1,1,1] => 1
[3,1,2,4,5,7,6] => [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) => [3,1,1,1,1] => 1
[3,1,2,4,6,5,7] => [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) => [3,1,1,1,1] => 1
[3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => 1
[3,1,2,4,7,5,6] => [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) => [2,2,2,1] => 1
[3,1,2,4,7,6,5] => [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) => [2,1,3,1] => 1
[3,1,2,5,4,6,7] => [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) => [3,1,1,1,1] => 1
[3,1,2,5,4,7,6] => [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) => [2,1,2,1,1] => 1
[3,1,2,5,6,4,7] => [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) => [2,2,2,1] => 1
[3,1,2,5,6,7,4] => [4,7,6,5,2,1,3] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[3,1,2,5,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,2,5,7,6,4] => [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) => [1,2,2,1,1] => 1
[3,1,2,6,4,5,7] => [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) => [2,2,2,1] => 1
[3,1,2,6,4,7,5] => [5,7,4,6,2,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,2,6,5,4,7] => [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) => [2,1,3,1] => 1
[3,1,2,6,5,7,4] => [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) => [1,2,2,1,1] => 1
[3,1,2,6,7,4,5] => [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) => [1,1,2,1,1,1] => 1
[3,1,2,6,7,5,4] => [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) => [1,1,1,1,2,1] => 1
[3,1,2,7,4,5,6] => [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) => [1,3,1,1,1] => 1
[3,1,2,7,4,6,5] => [5,6,4,7,2,1,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[3,1,2,7,5,4,6] => [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) => [1,2,2,1,1] => 1
[3,1,2,7,5,6,4] => [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) => [1,1,1,1,2,1] => 1
[3,1,2,7,6,4,5] => [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) => [1,1,1,1,2,1] => 1
[3,1,2,7,6,5,4] => [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) => [1,1,1,3,1] => 1
[3,1,4,2,5,6,7] => [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) => [3,1,1,1,1] => 1
[3,1,4,2,5,7,6] => [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) => [2,1,2,1,1] => 1
[3,1,4,2,6,5,7] => [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) => [2,1,2,1,1] => 1
[3,1,4,2,6,7,5] => [5,7,6,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,4,2,7,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,2,7,6,5] => [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) => [1,1,1,2,1,1] => 1
[3,1,4,5,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,1,4,5,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,5,6,2,7] => [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) => [1,1,2,1,1,1] => 1
[3,1,4,5,6,7,2] => [2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[3,1,4,5,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,5,7,6,2] => [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) => [1,2,1,1,1,1] => 1
[3,1,4,6,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,6,2,7,5] => [5,7,2,6,4,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,4,6,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,6,5,7,2] => [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) => [1,2,1,1,1,1] => 1
[3,1,4,6,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,6,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,2,6,5] => [5,6,2,7,4,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,5,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,4,7,6,5,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,5,2,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,1,5,2,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,2,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,2,6,7,4] => [4,7,6,2,5,1,3] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,1,5,2,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,2,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,4,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,1,5,4,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,4,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,4,6,7,2] => [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) => [1,2,1,1,1,1] => 1
[3,1,5,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,4,7,6,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,5,6,2,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,1,5,6,2,7,4] => [4,7,2,6,5,1,3] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,5,6,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,6,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,6,7,2,4] => [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) => [1,2,1,1,1,1] => 1
[3,1,5,6,7,4,2] => [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) => [1,2,1,1,1,1] => 1
[3,1,5,7,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,7,2,6,4] => [4,6,2,7,5,1,3] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,5,7,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,7,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,7,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,5,7,6,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,2,4,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,2,4,7,5] => [5,7,4,2,6,1,3] => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,6,2,5,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,1,6,2,5,7,4] => [4,7,5,2,6,1,3] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,6,2,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,2,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,2,7,5] => [5,7,2,4,6,1,3] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,5,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,5,2,7,4] => [4,7,2,5,6,1,3] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,6,5,4,2,7] => [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) => [1,1,1,2,1,1] => 1
[3,1,6,5,4,7,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,6,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,7,2,4,5] => [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) => [1,2,1,1,1,1] => 1
[3,1,6,7,2,5,4] => [4,5,2,7,6,1,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,6,7,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,7,4,5,2] => [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) => [1,1,2,1,1,1] => 1
[3,1,6,7,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,6,7,5,4,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,7,2,4,5,6] => [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) => [1,2,1,1,1,1] => 1
[3,1,7,2,4,6,5] => [5,6,4,2,7,1,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,7,2,5,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,2,5,6,4] => [4,6,5,2,7,1,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,7,2,6,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,2,6,5,4] => [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) => [1,1,1,2,1,1] => 1
[3,1,7,4,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,4,2,6,5] => [5,6,2,4,7,1,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,7,4,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,4,5,6,2] => [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) => [1,2,1,1,1,1] => 1
[3,1,7,4,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,4,6,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,2,6,4] => [4,6,2,5,7,1,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,5,6,4,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,7,6,2,4,5] => [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) => [1,2,1,1,1,1] => 1
[3,1,7,6,2,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,6,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,1,7,6,4,5,2] => [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) => [1,1,1,2,1,1] => 1
[3,1,7,6,5,2,4] => [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) => [1,1,1,2,1,1] => 1
[3,1,7,6,5,4,2] => [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) => [1,1,3,1,1] => 1
[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) => [4,2,1] => 1
[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) => [3,1,2,1] => 1
[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) => [3,1,2,1] => 1
[3,2,1,4,6,7,5] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,3,1] => 1
[3,2,1,4,7,5,6] => [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) => [2,1,3,1] => 1
[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) => [2,4,1] => 1
[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) => [3,1,2,1] => 1
[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) => [2,2,2,1] => 1
[3,2,1,5,6,4,7] => [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) => [2,1,3,1] => 1
[3,2,1,5,6,7,4] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[3,2,1,5,7,4,6] => [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) => [1,1,1,2,1,1] => 1
[3,2,1,5,7,6,4] => [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) => [1,1,3,1,1] => 1
[3,2,1,6,4,5,7] => [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) => [2,1,3,1] => 1
[3,2,1,6,4,7,5] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[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) => [2,4,1] => 1
[3,2,1,6,5,7,4] => [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) => [1,1,3,1,1] => 1
[3,2,1,6,7,4,5] => [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) => [1,2,2,1,1] => 1
[3,2,1,6,7,5,4] => [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) => [1,1,2,2,1] => 1
[3,2,1,7,4,5,6] => [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) => [1,2,2,1,1] => 1
[3,2,1,7,4,6,5] => [5,6,4,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,1,1] => 1
[3,2,1,7,5,4,6] => [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) => [1,1,3,1,1] => 1
[3,2,1,7,5,6,4] => [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) => [1,1,2,2,1] => 1
[3,2,1,7,6,4,5] => [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) => [1,1,2,2,1] => 1
[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) => [1,2,3,1] => 1
[3,2,4,1,5,6,7] => [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) => [3,1,1,1,1] => 1
[3,2,4,1,5,7,6] => [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) => [2,1,1,1,1,1] => 1
[3,2,4,1,6,5,7] => [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) => [2,1,1,1,1,1] => 1
[3,2,4,1,6,7,5] => [5,7,6,1,4,2,3] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[3,2,4,1,7,5,6] => [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) => [1,2,2,1,1] => 1
[3,2,4,1,7,6,5] => [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) => [1,1,3,1,1] => 1
[3,2,4,5,1,6,7] => [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) => [2,2,1,1,1] => 1
[3,2,4,5,1,7,6] => [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) => [1,2,1,1,1,1] => 1
[3,2,4,5,6,1,7] => [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) => [1,3,1,1,1] => 1
[3,2,4,5,6,7,1] => [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) => [4,1,2] => 2
[3,2,4,5,7,1,6] => [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) => [1,2,1,1,1,1] => 1
[3,2,4,5,7,6,1] => [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) => [3,2,2] => 2
[3,2,4,6,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,4,6,1,7,5] => [5,7,1,6,4,2,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,4,6,5,1,7] => [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) => [1,2,2,1,1] => 1
[3,2,4,6,5,7,1] => [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) => [3,2,2] => 2
[3,2,4,6,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,4,6,7,5,1] => [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) => [2,1,1,1,2] => 2
[3,2,4,7,1,5,6] => [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) => [1,2,1,1,1,1] => 1
[3,2,4,7,1,6,5] => [5,6,1,7,4,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,2,4,7,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,4,7,5,6,1] => [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) => [2,1,1,1,2] => 2
[3,2,4,7,6,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,4,7,6,5,1] => [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) => [2,1,2,2] => 2
[3,2,5,1,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,2,5,1,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,1,6,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,2,5,1,6,7,4] => [4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,5,1,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,1,7,6,4] => [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) => [1,1,2,1,1,1] => 1
[3,2,5,4,1,6,7] => [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) => [2,1,2,1,1] => 1
[3,2,5,4,1,7,6] => [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) => [1,1,1,2,1,1] => 1
[3,2,5,4,6,1,7] => [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) => [1,2,2,1,1] => 1
[3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => 2
[3,2,5,4,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,3,2] => 2
[3,2,5,6,1,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,2,5,6,1,7,4] => [4,7,1,6,5,2,3] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,5,6,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,6,4,7,1] => [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) => [2,1,1,1,2] => 2
[3,2,5,6,7,1,4] => [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) => [1,2,1,1,1,1] => 1
[3,2,5,6,7,4,1] => [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) => [1,2,1,1,2] => 2
[3,2,5,7,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,7,1,6,4] => [4,6,1,7,5,2,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,5,7,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,7,4,6,1] => [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) => [1,1,2,1,2] => 2
[3,2,5,7,6,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,5,7,6,4,1] => [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) => [1,1,1,1,1,2] => 2
[3,2,6,1,4,5,7] => [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) => [1,1,1,2,1,1] => 1
[3,2,6,1,4,7,5] => [5,7,4,1,6,2,3] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,6,1,5,4,7] => [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) => [1,1,3,1,1] => 1
[3,2,6,1,5,7,4] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,2,6,1,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,1,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,4,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,4,1,7,5] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,6,4,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,4,5,7,1] => [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) => [2,1,1,1,2] => 2
[3,2,6,4,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,4,7,5,1] => [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) => [1,1,2,1,2] => 2
[3,2,6,5,1,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,2,6,5,1,7,4] => [4,7,1,5,6,2,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,6,5,4,1,7] => [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) => [1,1,1,2,1,1] => 1
[3,2,6,5,4,7,1] => [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) => [2,1,2,2] => 2
[3,2,6,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,6,5,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[3,2,6,7,1,4,5] => [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) => [1,1,2,1,1,1] => 1
[3,2,6,7,1,5,4] => [4,5,1,7,6,2,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[3,2,6,7,4,1,5] => [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) => [1,1,2,1,1,1] => 1
[3,2,6,7,4,5,1] => [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) => [1,3,1,2] => 2
[3,2,6,7,5,1,4] => [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) => [1,2,1,1,1,1] => 1
[3,2,6,7,5,4,1] => [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) => [1,2,2,2] => 2
[3,2,7,1,4,5,6] => [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) => [1,2,1,1,1,1] => 1
[3,2,7,1,4,6,5] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,2,7,1,5,4,6] => [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) => [1,1,2,1,1,1] => 1
[3,2,7,1,5,6,4] => [4,6,5,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,7,1,6,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,1,6,5,4] => [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) => [1,1,1,2,1,1] => 1
[3,2,7,4,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,4,1,6,5] => [5,6,1,4,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[3,2,7,4,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,4,5,6,1] => [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) => [1,2,1,1,2] => 2
[3,2,7,4,6,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,4,6,5,1] => [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) => [1,1,1,1,1,2] => 2
[3,2,7,5,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,5,1,6,4] => [4,6,1,5,7,2,3] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,2,7,5,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,5,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,2,7,5,6,1,4] => [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) => [1,2,1,1,1,1] => 1
[3,2,7,5,6,4,1] => [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) => [1,2,2,2] => 2
[3,2,7,6,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,6,1,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,6,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,2,7,6,4,5,1] => [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) => [1,2,2,2] => 2
[3,2,7,6,5,1,4] => [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) => [1,1,1,2,1,1] => 1
[3,2,7,6,5,4,1] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[3,4,1,2,5,6,7] => [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) => [3,2,1,1] => 1
[3,4,1,2,5,7,6] => [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) => [2,3,1,1] => 1
[3,4,1,2,6,5,7] => [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) => [2,3,1,1] => 1
[3,4,1,2,6,7,5] => [5,7,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,4,1,2,7,5,6] => [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) => [1,1,2,1,1,1] => 1
[3,4,1,2,7,6,5] => [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) => [1,2,2,1,1] => 1
[3,4,1,5,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,4,1,5,2,7,6] => [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) => [1,1,2,1,1,1] => 1
[3,4,1,5,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,5,6,7,2] => [2,7,6,5,1,4,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,1,5,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,5,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,6,2,5,7] => [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) => [1,1,2,1,1,1] => 1
[3,4,1,6,2,7,5] => [5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,1,6,5,2,7] => [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) => [1,1,1,2,1,1] => 1
[3,4,1,6,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,6,7,2,5] => [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) => [1,2,1,1,1,1] => 1
[3,4,1,6,7,5,2] => [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) => [1,2,1,1,1,1] => 1
[3,4,1,7,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,7,2,6,5] => [5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,1,7,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,7,5,6,2] => [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) => [1,2,1,1,1,1] => 1
[3,4,1,7,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,1,7,6,5,2] => [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) => [1,1,1,2,1,1] => 1
[3,4,2,1,5,6,7] => [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) => [3,1,2,1] => 1
[3,4,2,1,5,7,6] => [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) => [2,2,2,1] => 1
[3,4,2,1,6,5,7] => [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) => [2,2,2,1] => 1
[3,4,2,1,6,7,5] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[3,4,2,1,7,5,6] => [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) => [1,1,1,1,2,1] => 1
[3,4,2,1,7,6,5] => [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) => [1,1,2,2,1] => 1
[3,4,2,5,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,4,2,5,1,7,6] => [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) => [1,1,2,1,1,1] => 1
[3,4,2,5,6,1,7] => [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) => [1,2,1,1,1,1] => 1
[3,4,2,5,6,7,1] => [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) => [3,1,1,2] => 2
[3,4,2,5,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,2,5,7,6,1] => [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) => [2,1,1,1,2] => 2
[3,4,2,6,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,2,6,1,7,5] => [5,7,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,2,6,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,2,6,5,7,1] => [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) => [2,1,1,1,2] => 2
[3,4,2,6,7,1,5] => [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) => [1,2,1,1,1,1] => 1
[3,4,2,6,7,5,1] => [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) => [1,2,2,2] => 2
[3,4,2,7,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,2,7,1,6,5] => [5,6,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,2,7,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,2,7,5,6,1] => [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) => [1,2,2,2] => 2
[3,4,2,7,6,1,5] => [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) => [1,1,1,2,1,1] => 1
[3,4,2,7,6,5,1] => [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) => [1,1,3,2] => 2
[3,4,5,1,2,6,7] => [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) => [2,2,1,1,1] => 1
[3,4,5,1,2,7,6] => [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) => [1,3,1,1,1] => 1
[3,4,5,1,6,2,7] => [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) => [1,1,2,1,1,1] => 1
[3,4,5,1,6,7,2] => [2,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,4,5,1,7,2,6] => [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) => [1,2,1,1,1,1] => 1
[3,4,5,1,7,6,2] => [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) => [1,2,1,1,1,1] => 1
[3,4,5,2,1,6,7] => [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) => [2,2,2,1] => 1
[3,4,5,2,1,7,6] => [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) => [1,3,2,1] => 1
[3,4,5,2,6,1,7] => [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) => [1,1,2,1,1,1] => 1
[3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[3,4,5,2,7,1,6] => [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) => [1,2,1,1,1,1] => 1
[3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[3,4,5,6,1,2,7] => [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) => [1,3,1,1,1] => 1
[3,4,5,6,1,7,2] => [2,7,1,6,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[3,4,5,6,2,1,7] => [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) => [1,3,2,1] => 1
[3,4,5,6,2,7,1] => [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) => [1,3,1,2] => 2
[3,4,5,6,7,1,2] => [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) => [4,1,2] => 2
[3,4,5,6,7,2,1] => [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) => [4,3] => 3
[3,4,5,7,1,2,6] => [6,2,1,7,5,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,5,7,1,6,2] => [2,6,1,7,5,4,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,5,7,2,1,6] => [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) => [1,2,1,1,1,1] => 1
[3,4,5,7,2,6,1] => [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) => [1,2,1,1,2] => 2
[3,4,5,7,6,1,2] => [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) => [3,1,1,2] => 2
[3,4,5,7,6,2,1] => [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) => [3,1,3] => 3
[3,4,6,1,2,5,7] => [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) => [1,1,1,2,1,1] => 1
[3,4,6,1,2,7,5] => [5,7,2,1,6,4,3] => ([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,6,1,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,1,5,7,2] => [2,7,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,6,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,1,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,2,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,2,1,7,5] => [5,7,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[3,4,6,2,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,2,5,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,4,6,2,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,2,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[3,4,6,5,1,2,7] => [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) => [1,2,2,1,1] => 1
[3,4,6,5,1,7,2] => [2,7,1,5,6,4,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,6,5,2,1,7] => [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) => [1,2,1,2,1] => 1
[3,4,6,5,2,7,1] => [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) => [1,2,1,1,2] => 2
[3,4,6,5,7,1,2] => [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) => [3,1,1,2] => 2
[3,4,6,5,7,2,1] => [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) => [3,1,3] => 3
[3,4,6,7,1,2,5] => [5,2,1,7,6,4,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,6,7,1,5,2] => [2,5,1,7,6,4,3] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,6,7,2,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,6,7,2,5,1] => [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) => [1,1,1,1,1,2] => 2
[3,4,6,7,5,1,2] => [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) => [2,1,2,2] => 2
[3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[3,4,7,1,2,5,6] => [6,5,2,1,7,4,3] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,1,2,6,5] => [5,6,2,1,7,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,4,7,1,5,2,6] => [6,2,5,1,7,4,3] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,1,5,6,2] => [2,6,5,1,7,4,3] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,4,7,1,6,2,5] => [5,2,6,1,7,4,3] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,1,6,5,2] => [2,5,6,1,7,4,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,2,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,7,2,1,6,5] => [5,6,1,2,7,4,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,2,5,1,6] => [6,1,5,2,7,4,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,2,5,6,1] => [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) => [1,2,1,1,2] => 2
[3,4,7,2,6,1,5] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,2,6,5,1] => [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) => [1,1,2,1,2] => 2
[3,4,7,5,1,2,6] => [6,2,1,5,7,4,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,5,1,6,2] => [2,6,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,5,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,7,5,2,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,4,7,5,6,1,2] => [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) => [2,1,2,2] => 2
[3,4,7,5,6,2,1] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[3,4,7,6,1,2,5] => [5,2,1,6,7,4,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,4,7,6,1,5,2] => [2,5,1,6,7,4,3] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,4,7,6,2,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,4,7,6,2,5,1] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,4,7,6,5,1,2] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[3,5,1,2,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,5,1,2,4,7,6] => [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) => [1,1,2,1,1,1] => 1
[3,5,1,2,6,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,5,1,2,6,7,4] => [4,7,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,1,2,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,2,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,4,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,5,1,4,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,4,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,4,6,7,2] => [2,7,6,4,1,5,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,1,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,4,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,6,2,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,5,1,6,2,7,4] => [4,7,2,6,1,5,3] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,1,6,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,6,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,6,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,6,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,2,6,4] => [4,6,2,7,1,5,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,1,7,6,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,1,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,5,2,1,4,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,1,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,1,6,7,4] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,2,1,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,1,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,4,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,5,2,4,1,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,4,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,4,6,7,1] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[3,5,2,4,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,4,7,6,1] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[3,5,2,6,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,6,1,7,4] => [4,7,1,6,2,5,3] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,2,6,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,6,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,2,6,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,6,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,2,7,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,7,1,6,4] => [4,6,1,7,2,5,3] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,2,7,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,7,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,2,7,6,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,2,7,6,4,1] => [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) => [1,1,2,1,2] => 2
[3,5,4,1,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[3,5,4,1,2,7,6] => [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) => [1,2,1,1,1,1] => 1
[3,5,4,1,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,1,6,7,2] => [2,7,6,1,4,5,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,4,1,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,1,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,2,1,6,7] => [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) => [2,1,1,2,1] => 1
[3,5,4,2,1,7,6] => [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) => [1,2,1,2,1] => 1
[3,5,4,2,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[3,5,4,2,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[3,5,4,6,1,2,7] => [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) => [1,2,2,1,1] => 1
[3,5,4,6,1,7,2] => [2,7,1,6,4,5,3] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,5,4,6,2,1,7] => [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) => [1,2,1,2,1] => 1
[3,5,4,6,2,7,1] => [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) => [1,2,1,1,2] => 2
[3,5,4,6,7,1,2] => [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) => [3,1,1,2] => 2
[3,5,4,6,7,2,1] => [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) => [3,1,3] => 3
[3,5,4,7,1,2,6] => [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) => [1,1,1,2,1,1] => 1
[3,5,4,7,1,6,2] => [2,6,1,7,4,5,3] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,4,7,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,4,7,2,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,4,7,6,1,2] => [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) => [2,2,1,2] => 2
[3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[3,5,6,1,2,4,7] => [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) => [1,1,3,1,1] => 1
[3,5,6,1,2,7,4] => [4,7,2,1,6,5,3] => ([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,5,6,1,4,2,7] => [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) => [1,1,2,1,1,1] => 1
[3,5,6,1,4,7,2] => [2,7,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,6,1,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,6,1,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,6,2,1,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,5,6,2,1,7,4] => [4,7,1,2,6,5,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,6,2,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,6,2,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,6,2,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,6,2,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,6,4,1,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,6,4,1,7,2] => [2,7,1,4,6,5,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,6,4,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[3,5,6,4,2,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,6,4,7,1,2] => [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) => [2,1,2,2] => 2
[3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[3,5,6,7,1,2,4] => [4,2,1,7,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,5,6,7,1,4,2] => [2,4,1,7,6,5,3] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,5,6,7,2,1,4] => [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) => [1,2,1,1,1,1] => 1
[3,5,6,7,2,4,1] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[3,5,6,7,4,1,2] => [2,1,4,7,6,5,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[3,5,7,1,2,4,6] => [6,4,2,1,7,5,3] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,5,7,1,2,6,4] => [4,6,2,1,7,5,3] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,1,4,2,6] => [6,2,4,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,1,4,6,2] => [2,6,4,1,7,5,3] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,1,6,2,4] => [4,2,6,1,7,5,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,1,6,4,2] => [2,4,6,1,7,5,3] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,2,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,7,2,1,6,4] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,2,4,1,6] => [6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,2,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,5,7,2,6,1,4] => [4,1,6,2,7,5,3] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,2,6,4,1] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,5,7,4,1,2,6] => [6,2,1,4,7,5,3] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,4,1,6,2] => [2,6,1,4,7,5,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,4,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,5,7,4,2,6,1] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,5,7,4,6,1,2] => [2,1,6,4,7,5,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,5,7,4,6,2,1] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,5,7,6,1,2,4] => [4,2,1,6,7,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,6,1,4,2] => [2,4,1,6,7,5,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,6,2,1,4] => [4,1,2,6,7,5,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,5,7,6,2,4,1] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,5,7,6,4,1,2] => [2,1,4,6,7,5,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,6,1,2,4,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,2,4,7,5] => [5,7,4,2,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,2,5,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,6,1,2,5,7,4] => [4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,2,7,4,5] => [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) => [1,2,1,1,1,1] => 1
[3,6,1,2,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,2,7,5] => [5,7,2,4,1,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,5,7,2] => [2,7,5,4,1,6,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,2,7,4] => [4,7,2,5,1,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,2,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,2,5,4] => [4,5,2,7,1,6,3] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,4,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,1,7,5,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,1,4,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,1,4,7,5] => [5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,2,1,5,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,6,2,1,5,7,4] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,2,1,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,1,7,5,4] => [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) => [1,1,1,2,1,1] => 1
[3,6,2,4,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,4,1,7,5] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,2,4,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,4,5,7,1] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,2,4,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,4,7,5,1] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,2,5,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,5,1,7,4] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,2,5,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,5,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,6,2,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,5,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[3,6,2,7,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,7,1,5,4] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,2,7,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,7,4,5,1] => [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) => [1,2,1,1,2] => 2
[3,6,2,7,5,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,2,7,5,4,1] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,4,1,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,1,2,7,5] => [5,7,2,1,4,6,3] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,4,1,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,1,5,7,2] => [2,7,5,1,4,6,3] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,4,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,1,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,2,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,2,1,7,5] => [5,7,1,2,4,6,3] => ([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,4,2,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,2,5,7,1] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,4,2,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,2,7,5,1] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,4,5,1,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,5,1,7,2] => [2,7,1,5,4,6,3] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,4,5,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[3,6,4,5,2,7,1] => [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) => [1,1,1,1,1,2] => 2
[3,6,4,5,7,1,2] => [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) => [2,1,2,2] => 2
[3,6,4,5,7,2,1] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[3,6,4,7,1,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,7,1,5,2] => [2,5,1,7,4,6,3] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,4,7,2,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,4,7,2,5,1] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,4,7,5,1,2] => [2,1,5,7,4,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,4,7,5,2,1] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,6,5,1,2,4,7] => [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) => [1,1,2,1,1,1] => 1
[3,6,5,1,2,7,4] => [4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,5,1,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,1,4,7,2] => [2,7,4,1,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,5,1,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,1,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,2,1,4,7] => [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) => [1,1,1,2,1,1] => 1
[3,6,5,2,1,7,4] => [4,7,1,2,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,6,5,2,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,2,4,7,1] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,5,2,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,2,7,4,1] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,5,4,1,2,7] => [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) => [1,1,1,2,1,1] => 1
[3,6,5,4,1,7,2] => [2,7,1,4,5,6,3] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,6,5,4,2,1,7] => [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) => [1,1,2,2,1] => 1
[3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,6,5,4,7,1,2] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[3,6,5,7,1,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,5,7,1,4,2] => [2,4,1,7,5,6,3] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,5,7,2,1,4] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,5,7,2,4,1] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,5,7,4,1,2] => [2,1,4,7,5,6,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,6,7,1,2,4,5] => [5,4,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,1,2,5,4] => [4,5,2,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,6,7,1,4,2,5] => [5,2,4,1,7,6,3] => ([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,1,4,5,2] => [2,5,4,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,1,5,2,4] => [4,2,5,1,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,1,5,4,2] => [2,4,5,1,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,2,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,6,7,2,1,5,4] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,6,7,2,4,1,5] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,2,4,5,1] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,6,7,2,5,1,4] => [4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,2,5,4,1] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,6,7,4,1,5,2] => [2,5,1,4,7,6,3] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,4,2,1,5] => [5,1,2,4,7,6,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,4,2,5,1] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,7,4,5,1,2] => [2,1,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[3,6,7,4,5,2,1] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[3,6,7,5,1,2,4] => [4,2,1,5,7,6,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,6,7,5,1,4,2] => [2,4,1,5,7,6,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,6,7,5,2,1,4] => [4,1,2,5,7,6,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,6,7,5,2,4,1] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,6,7,5,4,1,2] => [2,1,4,5,7,6,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[3,7,1,2,4,5,6] => [6,5,4,2,1,7,3] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[3,7,1,2,4,6,5] => [5,6,4,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,2,5,4,6] => [6,4,5,2,1,7,3] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,2,5,6,4] => [4,6,5,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,2,1,1,1,1] => 1
[3,7,1,2,6,4,5] => [5,4,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,2,1,1,1,1] => 1
[3,7,1,2,6,5,4] => [4,5,6,2,1,7,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,2,1,1] => 1
[3,7,1,4,2,5,6] => [6,5,2,4,1,7,3] => ([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,4,2,6,5] => [5,6,2,4,1,7,3] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,4,5,2,6] => [6,2,5,4,1,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,4,5,6,2] => [2,6,5,4,1,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[3,7,1,4,6,2,5] => [5,2,6,4,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,4,6,5,2] => [2,5,6,4,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,2,4,6] => [6,4,2,5,1,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,2,6,4] => [4,6,2,5,1,7,3] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,4,2,6] => [6,2,4,5,1,7,3] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,4,6,2] => [2,6,4,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,6,2,4] => [4,2,6,5,1,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,5,6,4,2] => [2,4,6,5,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,2,4,5] => [5,4,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,2,5,4] => [4,5,2,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,4,2,5] => [5,2,4,6,1,7,3] => ([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,4,5,2] => [2,5,4,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,5,2,4] => [4,2,5,6,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,1,6,5,4,2] => [2,4,5,6,1,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[3,7,2,1,4,5,6] => [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) => [1,2,1,1,1,1] => 1
[3,7,2,1,4,6,5] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,1,5,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,7,2,1,5,6,4] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,2,1,6,4,5] => [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) => [1,1,1,2,1,1] => 1
[3,7,2,1,6,5,4] => [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) => [1,1,3,1,1] => 1
[3,7,2,4,1,5,6] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,4,1,6,5] => [5,6,1,4,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,4,5,1,6] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,4,5,6,1] => [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) => [1,2,1,1,2] => 2
[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,4,6,5,1] => [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) => [1,1,1,1,1,2] => 2
[3,7,2,5,1,4,6] => [6,4,1,5,2,7,3] => ([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,5,1,6,4] => [4,6,1,5,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,5,4,1,6] => [6,1,4,5,2,7,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,5,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,7,2,5,6,1,4] => [4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,5,6,4,1] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[3,7,2,6,1,4,5] => [5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,6,1,5,4] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,7,2,6,4,1,5] => [5,1,4,6,2,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,6,4,5,1] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[3,7,2,6,5,1,4] => [4,1,5,6,2,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,2,6,5,4,1] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[3,7,4,1,2,5,6] => [6,5,2,1,4,7,3] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,1,2,6,5] => [5,6,2,1,4,7,3] => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,7,4,1,5,2,6] => [6,2,5,1,4,7,3] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,1,5,6,2] => [2,6,5,1,4,7,3] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,1,6,2,5] => [5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,1,6,5,2] => [2,5,6,1,4,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,2,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,7,4,2,1,6,5] => [5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,2,5,1,6] => [6,1,5,2,4,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,2,5,6,1] => [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) => [1,1,1,1,1,2] => 2
[3,7,4,2,6,1,5] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,2,6,5,1] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,4,5,1,2,6] => [6,2,1,5,4,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,5,1,6,2] => [2,6,1,5,4,7,3] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,5,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,7,4,5,2,6,1] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,4,5,6,1,2] => [2,1,6,5,4,7,3] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[3,7,4,5,6,2,1] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[3,7,4,6,1,2,5] => [5,2,1,6,4,7,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,6,1,5,2] => [2,5,1,6,4,7,3] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,6,2,1,5] => [5,1,2,6,4,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,4,6,2,5,1] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,4,6,5,1,2] => [2,1,5,6,4,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,7,4,6,5,2,1] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,7,5,1,2,4,6] => [6,4,2,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,1,2,6,4] => [4,6,2,1,5,7,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,1,4,2,6] => [6,2,4,1,5,7,3] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,1,4,6,2] => [2,6,4,1,5,7,3] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,1,6,2,4] => [4,2,6,1,5,7,3] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,1,6,4,2] => [2,4,6,1,5,7,3] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,2,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[3,7,5,2,1,6,4] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,2,4,1,6] => [6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,2,4,6,1] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,5,2,6,1,4] => [4,1,6,2,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,2,6,4,1] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,5,4,1,2,6] => [6,2,1,4,5,7,3] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,4,1,6,2] => [2,6,1,4,5,7,3] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,4,2,1,6] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,4,2,6,1] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,5,4,6,1,2] => [2,1,6,4,5,7,3] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[3,7,5,4,6,2,1] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[3,7,5,6,1,2,4] => [4,2,1,6,5,7,3] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[3,7,5,6,1,4,2] => [2,4,1,6,5,7,3] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,5,6,2,1,4] => [4,1,2,6,5,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,5,6,2,4,1] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,5,6,4,1,2] => [2,1,4,6,5,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[3,7,5,6,4,2,1] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[3,7,6,1,2,4,5] => [5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,1,2,5,4] => [4,5,2,1,6,7,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,1,4,2,5] => [5,2,4,1,6,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,1,4,5,2] => [2,5,4,1,6,7,3] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,1,5,2,4] => [4,2,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,1,5,4,2] => [2,4,5,1,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,2,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[3,7,6,2,1,5,4] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,2,4,1,5] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,2,4,5,1] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,6,2,5,1,4] => [4,1,5,2,6,7,3] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,6,2,5,4,1] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,6,4,1,2,5] => [5,2,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,4,1,5,2] => [2,5,1,4,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[3,7,6,4,2,1,5] => [5,1,2,4,6,7,3] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,6,4,2,5,1] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[3,7,6,4,5,1,2] => [2,1,5,4,6,7,3] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[3,7,6,4,5,2,1] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[3,7,6,5,1,2,4] => [4,2,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,6,5,1,4,2] => [2,4,1,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[3,7,6,5,2,1,4] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[3,7,6,5,2,4,1] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[3,7,6,5,4,1,2] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,2] => 2
[3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[4,1,2,3,5,6,7] => [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) => [3,2,1,1] => 1
[4,1,2,3,5,7,6] => [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) => [2,2,1,1,1] => 1
[4,1,2,3,6,5,7] => [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) => [2,2,1,1,1] => 1
[4,1,2,3,6,7,5] => [5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[4,1,2,3,7,5,6] => [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) => [1,3,1,1,1] => 1
[4,1,2,3,7,6,5] => [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) => [1,2,2,1,1] => 1
[4,1,2,5,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,1,2,5,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,5,6,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,1,2,5,6,7,3] => [3,7,6,5,2,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[4,1,2,5,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,5,7,6,3] => [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) => [1,2,1,1,1,1] => 1
[4,1,2,6,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,6,3,7,5] => [5,7,3,6,2,1,4] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,1,2,6,5,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,1,2,6,5,7,3] => [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) => [1,2,1,1,1,1] => 1
[4,1,2,6,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,6,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,7,3,5,6] => [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) => [1,2,1,1,1,1] => 1
[4,1,2,7,3,6,5] => [5,6,3,7,2,1,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,2,7,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,7,5,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,7,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,2,7,6,5,3] => [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) => [1,1,1,2,1,1] => 1
[4,1,3,2,5,6,7] => [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) => [3,1,1,1,1] => 1
[4,1,3,2,5,7,6] => [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) => [2,1,1,1,1,1] => 1
[4,1,3,2,6,5,7] => [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) => [2,1,1,1,1,1] => 1
[4,1,3,2,6,7,5] => [5,7,6,2,3,1,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[4,1,3,2,7,5,6] => [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) => [1,2,2,1,1] => 1
[4,1,3,2,7,6,5] => [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) => [1,1,3,1,1] => 1
[4,1,3,5,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,1,3,5,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,5,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,5,6,7,2] => [2,7,6,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,1,3,5,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,5,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,2,7,5] => [5,7,2,6,3,1,4] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,6,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,7,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,7,2,6,5] => [5,6,2,7,3,1,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,1,3,7,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,7,5,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,7,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,3,7,6,5,2] => [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) => [1,1,1,2,1,1] => 1
[4,1,5,2,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,1,5,2,3,7,6] => [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) => [1,1,2,1,1,1] => 1
[4,1,5,2,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,2,6,7,3] => [3,7,6,2,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,1,5,2,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,2,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,3,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,1,5,3,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,3,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,3,6,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,3,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,3,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,6,2,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,1,5,6,2,7,3] => [3,7,2,6,5,1,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,5,6,3,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,6,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,6,7,2,3] => [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) => [1,2,1,1,1,1] => 1
[4,1,5,6,7,3,2] => [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) => [1,2,1,1,1,1] => 1
[4,1,5,7,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,7,2,6,3] => [3,6,2,7,5,1,4] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,5,7,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,7,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,5,7,6,2,3] => [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) => [1,1,1,2,1,1] => 1
[4,1,5,7,6,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,3,7,5] => [5,7,3,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,5,7,3] => [3,7,5,2,6,1,4] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,2,7,5] => [5,7,2,3,6,1,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,5,2,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,1,6,5,2,7,3] => [3,7,2,5,6,1,4] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,6,5,3,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,5,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,5,7,2,3] => [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) => [1,1,1,2,1,1] => 1
[4,1,6,5,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,7,2,3,5] => [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) => [1,1,2,1,1,1] => 1
[4,1,6,7,2,5,3] => [3,5,2,7,6,1,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,6,7,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,7,3,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,7,5,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,6,7,5,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,3,6,5] => [5,6,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,5,6,3] => [3,6,5,2,7,1,4] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,2,6,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,2,6,5] => [5,6,2,3,7,1,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,5,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,3,6,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,2,6,3] => [3,6,2,5,7,1,4] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,6,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,5,6,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,6,2,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,6,2,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,6,3,2,5] => [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) => [1,1,1,2,1,1] => 1
[4,1,7,6,3,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,1,7,6,5,2,3] => [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) => [1,1,1,2,1,1] => 1
[4,1,7,6,5,3,2] => [2,3,5,6,7,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[4,2,1,3,5,6,7] => [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) => [3,1,1,1,1] => 1
[4,2,1,3,5,7,6] => [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) => [2,1,1,1,1,1] => 1
[4,2,1,3,6,5,7] => [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) => [2,1,1,1,1,1] => 1
[4,2,1,3,6,7,5] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,2,2,1,1] => 1
[4,2,1,3,7,5,6] => [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) => [1,2,2,1,1] => 1
[4,2,1,3,7,6,5] => [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) => [1,1,3,1,1] => 1
[4,2,1,5,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,2,1,5,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,5,6,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,2,1,5,6,7,3] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,2,1,5,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,5,7,6,3] => [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) => [1,1,2,1,1,1] => 1
[4,2,1,6,3,5,7] => [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) => [1,1,1,2,1,1] => 1
[4,2,1,6,3,7,5] => [5,7,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,1,6,5,3,7] => [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) => [1,1,3,1,1] => 1
[4,2,1,6,5,7,3] => [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) => [1,1,2,1,1,1] => 1
[4,2,1,6,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,6,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,7,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,7,3,6,5] => [5,6,3,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[4,2,1,7,5,3,6] => [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) => [1,1,2,1,1,1] => 1
[4,2,1,7,5,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,7,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,1,7,6,5,3] => [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) => [1,1,1,2,1,1] => 1
[4,2,3,1,5,6,7] => [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) => [3,1,2,1] => 1
[4,2,3,1,5,7,6] => [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) => [2,2,2,1] => 1
[4,2,3,1,6,5,7] => [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) => [2,2,2,1] => 1
[4,2,3,1,6,7,5] => [5,7,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[4,2,3,1,7,5,6] => [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) => [1,1,1,1,2,1] => 1
[4,2,3,1,7,6,5] => [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) => [1,1,2,2,1] => 1
[4,2,3,5,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,2,3,5,1,7,6] => [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) => [1,1,2,1,1,1] => 1
[4,2,3,5,6,1,7] => [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) => [1,2,1,1,1,1] => 1
[4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[4,2,3,5,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,3,5,7,6,1] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,2,3,6,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,3,6,1,7,5] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,3,6,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,3,6,5,7,1] => [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) => [2,1,1,1,2] => 2
[4,2,3,6,7,1,5] => [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) => [1,2,1,1,1,1] => 1
[4,2,3,6,7,5,1] => [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) => [1,2,2,2] => 2
[4,2,3,7,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,3,7,1,6,5] => [5,6,1,7,3,2,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,3,7,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,3,7,5,6,1] => [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) => [1,2,2,2] => 2
[4,2,3,7,6,1,5] => [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) => [1,1,1,2,1,1] => 1
[4,2,3,7,6,5,1] => [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) => [1,1,3,2] => 2
[4,2,5,1,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,2,5,1,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,1,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,1,6,7,3] => [3,7,6,1,5,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,5,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,1,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,3,1,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,2,5,3,1,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,3,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,3,6,7,1] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,2,5,3,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,3,7,6,1] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[4,2,5,6,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,6,1,7,3] => [3,7,1,6,5,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,5,6,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,6,3,7,1] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,2,5,6,7,1,3] => [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) => [1,2,1,1,1,1] => 1
[4,2,5,6,7,3,1] => [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) => [1,2,1,1,2] => 2
[4,2,5,7,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,7,1,6,3] => [3,6,1,7,5,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,5,7,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,7,3,6,1] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,2,5,7,6,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,5,7,6,3,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,6,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,1,3,7,5] => [5,7,3,1,6,2,4] => ([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,6,1,5,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,2,6,1,5,7,3] => [3,7,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,6,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,1,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,3,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,3,1,7,5] => [5,7,1,3,6,2,4] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,6,3,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,3,5,7,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,6,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,3,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,6,5,1,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,2,6,5,1,7,3] => [3,7,1,5,6,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,6,5,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,5,3,7,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,6,5,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,5,7,3,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,6,7,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,7,1,5,3] => [3,5,1,7,6,2,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,6,7,3,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,7,3,5,1] => [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) => [1,2,1,1,2] => 2
[4,2,6,7,5,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,6,7,5,3,1] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,2,7,1,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,1,3,6,5] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,7,1,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,1,5,6,3] => [3,6,5,1,7,2,4] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,7,1,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,1,6,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,3,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,3,1,6,5] => [5,6,1,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,7,3,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,3,5,6,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,7,3,6,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,3,6,5,1] => [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) => [1,1,2,1,2] => 2
[4,2,7,5,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,5,1,6,3] => [3,6,1,5,7,2,4] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,2,7,5,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,5,3,6,1] => [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) => [1,1,1,1,1,2] => 2
[4,2,7,5,6,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,5,6,3,1] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,2,7,6,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,6,1,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,6,3,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,2,7,6,3,5,1] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,2,7,6,5,1,3] => [3,1,5,6,7,2,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,2,7,6,5,3,1] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[4,3,1,2,5,6,7] => [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) => [3,1,2,1] => 1
[4,3,1,2,5,7,6] => [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) => [2,2,2,1] => 1
[4,3,1,2,6,5,7] => [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) => [2,2,2,1] => 1
[4,3,1,2,6,7,5] => [5,7,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,2,1] => 1
[4,3,1,2,7,5,6] => [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) => [1,1,1,1,2,1] => 1
[4,3,1,2,7,6,5] => [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) => [1,1,2,2,1] => 1
[4,3,1,5,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,3,1,5,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,5,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,5,6,7,2] => [2,7,6,5,1,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,3,1,5,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,5,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,6,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,6,2,7,5] => [5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,1,6,5,2,7] => [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) => [1,1,2,1,1,1] => 1
[4,3,1,6,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,6,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,6,7,5,2] => [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) => [1,1,1,2,1,1] => 1
[4,3,1,7,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,7,2,6,5] => [5,6,2,7,1,3,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,1,7,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,1,7,5,6,2] => [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) => [1,1,1,2,1,1] => 1
[4,3,1,7,6,2,5] => [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) => [1,1,1,2,1,1] => 1
[4,3,1,7,6,5,2] => [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) => [1,1,3,1,1] => 1
[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) => [3,3,1] => 1
[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) => [2,1,3,1] => 1
[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) => [2,1,3,1] => 1
[4,3,2,1,6,7,5] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,3,1] => 1
[4,3,2,1,7,5,6] => [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) => [1,1,1,3,1] => 1
[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) => [1,2,3,1] => 1
[4,3,2,5,1,6,7] => [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) => [2,1,2,1,1] => 1
[4,3,2,5,1,7,6] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,5,6,1,7] => [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) => [1,2,2,1,1] => 1
[4,3,2,5,6,7,1] => [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) => [3,2,2] => 2
[4,3,2,5,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,5,7,6,1] => [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) => [2,1,2,2] => 2
[4,3,2,6,1,5,7] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,6,1,7,5] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,3,2,6,5,1,7] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,1,2,2] => 2
[4,3,2,6,7,1,5] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[4,3,2,7,1,5,6] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,7,1,6,5] => [5,6,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,3,2,7,5,1,6] => [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) => [1,1,1,2,1,1] => 1
[4,3,2,7,5,6,1] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[4,3,2,7,6,1,5] => [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) => [1,1,3,1,1] => 1
[4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,4,2] => 2
[4,3,5,1,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,3,5,1,2,7,6] => [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) => [1,2,1,1,1,1] => 1
[4,3,5,1,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,1,6,7,2] => [2,7,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,5,1,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,1,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,2,1,6,7] => [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) => [2,1,1,2,1] => 1
[4,3,5,2,1,7,6] => [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) => [1,2,1,2,1] => 1
[4,3,5,2,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,2,6,7,1] => [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) => [2,1,1,1,2] => 2
[4,3,5,2,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,2,7,6,1] => [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) => [1,1,1,1,1,2] => 2
[4,3,5,6,1,2,7] => [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) => [1,2,2,1,1] => 1
[4,3,5,6,1,7,2] => [2,7,1,6,5,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,3,5,6,2,1,7] => [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) => [1,2,1,2,1] => 1
[4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,3,5,6,7,1,2] => [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) => [3,1,1,2] => 2
[4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[4,3,5,7,1,2,6] => [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) => [1,1,1,2,1,1] => 1
[4,3,5,7,1,6,2] => [2,6,1,7,5,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,5,7,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,5,7,2,6,1] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,3,5,7,6,1,2] => [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) => [2,2,1,2] => 2
[4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[4,3,6,1,2,5,7] => [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) => [1,1,2,1,1,1] => 1
[4,3,6,1,2,7,5] => [5,7,2,1,6,3,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,6,1,5,2,7] => [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) => [1,1,1,2,1,1] => 1
[4,3,6,1,5,7,2] => [2,7,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,6,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,1,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,2,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,2,1,7,5] => [5,7,1,2,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,6,2,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,2,5,7,1] => [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) => [1,1,1,1,1,2] => 2
[4,3,6,2,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,2,7,5,1] => [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) => [1,1,2,1,2] => 2
[4,3,6,5,1,2,7] => [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) => [1,1,3,1,1] => 1
[4,3,6,5,1,7,2] => [2,7,1,5,6,3,4] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,3,6,5,2,1,7] => [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) => [1,1,2,2,1] => 1
[4,3,6,5,2,7,1] => [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) => [1,1,2,1,2] => 2
[4,3,6,5,7,1,2] => [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) => [2,2,1,2] => 2
[4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[4,3,6,7,1,2,5] => [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) => [1,1,1,2,1,1] => 1
[4,3,6,7,1,5,2] => [2,5,1,7,6,3,4] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,6,7,2,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,6,7,2,5,1] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[4,3,6,7,5,1,2] => [2,1,5,7,6,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[4,3,7,1,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,1,2,6,5] => [5,6,2,1,7,3,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[4,3,7,1,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,1,5,6,2] => [2,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,7,1,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,1,6,5,2] => [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) => [1,1,2,1,1,1] => 1
[4,3,7,2,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,2,1,6,5] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,7,2,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,2,5,6,1] => [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) => [1,1,2,1,2] => 2
[4,3,7,2,6,1,5] => [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) => [1,1,2,1,1,1] => 1
[4,3,7,2,6,5,1] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => 2
[4,3,7,5,1,2,6] => [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) => [1,1,2,1,1,1] => 1
[4,3,7,5,1,6,2] => [2,6,1,5,7,3,4] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,7,5,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,3,7,5,2,6,1] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,3,7,5,6,1,2] => [2,1,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[4,3,7,5,6,2,1] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[4,3,7,6,1,2,5] => [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) => [1,1,2,1,1,1] => 1
[4,3,7,6,1,5,2] => [2,5,1,6,7,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,3,7,6,2,1,5] => [5,1,2,6,7,3,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,3,7,6,2,5,1] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,3,7,6,5,1,2] => [2,1,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[4,5,1,2,3,6,7] => [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) => [2,2,1,1,1] => 1
[4,5,1,2,3,7,6] => [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) => [1,3,1,1,1] => 1
[4,5,1,2,6,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,5,1,2,6,7,3] => [3,7,6,2,1,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,1,2,7,3,6] => [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) => [1,2,1,1,1,1] => 1
[4,5,1,2,7,6,3] => [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) => [1,1,2,1,1,1] => 1
[4,5,1,3,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,5,1,3,2,7,6] => [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) => [1,2,1,1,1,1] => 1
[4,5,1,3,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,3,6,7,2] => [2,7,6,3,1,5,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,1,3,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,3,7,6,2] => [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) => [1,1,2,1,1,1] => 1
[4,5,1,6,2,3,7] => [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) => [1,1,3,1,1] => 1
[4,5,1,6,2,7,3] => [3,7,2,6,1,5,4] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,5,1,6,3,2,7] => [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) => [1,1,2,1,1,1] => 1
[4,5,1,6,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,6,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,6,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,7,2,3,6] => [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) => [1,1,2,1,1,1] => 1
[4,5,1,7,2,6,3] => [3,6,2,7,1,5,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,1,7,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,7,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,1,7,6,2,3] => [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) => [1,1,1,2,1,1] => 1
[4,5,1,7,6,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,1,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[4,5,2,1,3,7,6] => [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) => [1,2,1,1,1,1] => 1
[4,5,2,1,6,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,5,2,1,6,7,3] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,2,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,1,7,6,3] => [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) => [1,2,1,1,1,1] => 1
[4,5,2,3,1,6,7] => [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) => [2,2,2,1] => 1
[4,5,2,3,1,7,6] => [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) => [1,1,2,2,1] => 1
[4,5,2,3,6,1,7] => [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) => [1,1,2,1,1,1] => 1
[4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[4,5,2,3,7,1,6] => [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) => [1,1,2,1,1,1] => 1
[4,5,2,3,7,6,1] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => 2
[4,5,2,6,1,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,5,2,6,1,7,3] => [3,7,1,6,2,5,4] => ([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,2,6,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,6,3,7,1] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,5,2,6,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,6,7,3,1] => [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) => [1,1,1,1,1,2] => 2
[4,5,2,7,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,7,1,6,3] => [3,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,2,7,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,7,3,6,1] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,5,2,7,6,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,2,7,6,3,1] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[4,5,3,1,2,6,7] => [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) => [2,2,2,1] => 1
[4,5,3,1,2,7,6] => [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) => [1,1,2,2,1] => 1
[4,5,3,1,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,3,1,6,7,2] => [2,7,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,3,1,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,3,1,7,6,2] => [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) => [1,2,1,1,1,1] => 1
[4,5,3,2,1,6,7] => [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) => [2,1,3,1] => 1
[4,5,3,2,1,7,6] => [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) => [1,1,1,3,1] => 1
[4,5,3,2,6,1,7] => [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) => [1,1,1,2,1,1] => 1
[4,5,3,2,6,7,1] => [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) => [2,1,2,2] => 2
[4,5,3,2,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[4,5,3,2,7,6,1] => [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) => [1,2,2,2] => 2
[4,5,3,6,1,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,3,6,1,7,2] => [2,7,1,6,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,3,6,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,5,3,6,7,1,2] => [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) => [2,1,2,2] => 2
[4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[4,5,3,7,1,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,3,7,1,6,2] => [2,6,1,7,3,5,4] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,3,7,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,3,7,2,6,1] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,5,3,7,6,1,2] => [2,1,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[4,5,6,1,2,3,7] => [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) => [1,4,1,1] => 1
[4,5,6,1,2,7,3] => [3,7,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[4,5,6,1,3,2,7] => [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) => [1,3,1,1,1] => 1
[4,5,6,1,3,7,2] => [2,7,3,1,6,5,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,5,6,1,7,2,3] => [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) => [1,2,1,1,1,1] => 1
[4,5,6,1,7,3,2] => [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) => [1,2,1,1,1,1] => 1
[4,5,6,2,1,3,7] => [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) => [1,3,1,1,1] => 1
[4,5,6,2,1,7,3] => [3,7,1,2,6,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,5,6,2,3,1,7] => [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) => [1,2,1,2,1] => 1
[4,5,6,2,3,7,1] => [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) => [1,2,1,1,2] => 2
[4,5,6,2,7,1,3] => [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) => [1,2,1,1,1,1] => 1
[4,5,6,2,7,3,1] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,5,6,3,1,2,7] => [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) => [1,2,1,2,1] => 1
[4,5,6,3,1,7,2] => [2,7,1,3,6,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,5,6,3,2,1,7] => [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) => [1,2,3,1] => 1
[4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[4,5,6,7,1,2,3] => [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) => [3,2,2] => 2
[4,5,6,7,1,3,2] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,4] => 4
[4,5,7,1,2,3,6] => [6,3,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[4,5,7,1,2,6,3] => [3,6,2,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,5,7,1,3,2,6] => [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) => [1,2,1,1,1,1] => 1
[4,5,7,1,3,6,2] => [2,6,3,1,7,5,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,1,6,2,3] => [3,2,6,1,7,5,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,1,6,3,2] => [2,3,6,1,7,5,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,2,1,3,6] => [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) => [1,2,1,1,1,1] => 1
[4,5,7,2,1,6,3] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,2,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,7,2,3,6,1] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[4,5,7,2,6,1,3] => [3,1,6,2,7,5,4] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,2,6,3,1] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,5,7,3,1,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,5,7,3,1,6,2] => [2,6,1,3,7,5,4] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,5,7,3,2,1,6] => [6,1,2,3,7,5,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,5,7,3,2,6,1] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,5,7,3,6,1,2] => [2,1,6,3,7,5,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,5,7,3,6,2,1] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,5,7,6,1,2,3] => [3,2,1,6,7,5,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[4,5,7,6,1,3,2] => [2,3,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,5,7,6,2,1,3] => [3,1,2,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,5,7,6,2,3,1] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[4,5,7,6,3,1,2] => [2,1,3,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[4,6,1,2,3,5,7] => [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) => [1,1,2,1,1,1] => 1
[4,6,1,2,3,7,5] => [5,7,3,2,1,6,4] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[4,6,1,2,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,2,5,7,3] => [3,7,5,2,1,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,1,2,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,2,7,5] => [5,7,2,3,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,5,7,2] => [2,7,5,3,1,6,4] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,5,2,3,7] => [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) => [1,1,2,1,1,1] => 1
[4,6,1,5,2,7,3] => [3,7,2,5,1,6,4] => ([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,1,5,3,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,5,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,5,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,5,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,2,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,2,5,3] => [3,5,2,7,1,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,3,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,5,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,1,7,5,3,2] => [2,3,5,7,1,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,1,3,7,5] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,1,5,3,7] => [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) => [1,1,1,2,1,1] => 1
[4,6,2,1,5,7,3] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,1,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,3,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,3,1,7,5] => [5,7,1,3,2,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,3,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,3,5,7,1] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,2,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,3,7,5,1] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,6,2,5,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,5,1,7,3] => [3,7,1,5,2,6,4] => ([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,5,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,5,3,7,1] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,2,5,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,5,7,3,1] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,2,7,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,7,1,5,3] => [3,5,1,7,2,6,4] => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,7,3,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,2,7,3,5,1] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[4,6,2,7,5,1,3] => [3,1,5,7,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,2,7,5,3,1] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,1,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,1,2,7,5] => [5,7,2,1,3,6,4] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,3,1,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,1,5,7,2] => [2,7,5,1,3,6,4] => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,3,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,1,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,2,1,5,7] => [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) => [1,1,1,2,1,1] => 1
[4,6,3,2,1,7,5] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,6,3,2,5,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,2,5,7,1] => [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) => [1,1,1,1,1,2] => 2
[4,6,3,2,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,2,7,5,1] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,5,1,2,7] => [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) => [1,1,2,1,1,1] => 1
[4,6,3,5,1,7,2] => [2,7,1,5,3,6,4] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,3,5,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[4,6,3,5,2,7,1] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,5,7,1,2] => [2,1,7,5,3,6,4] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,5,7,2,1] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,3,7,1,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,3,7,1,5,2] => [2,5,1,7,3,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,3,7,2,1,5] => [5,1,2,7,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,3,7,2,5,1] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,7,5,1,2] => [2,1,5,7,3,6,4] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,3,7,5,2,1] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,5,1,2,3,7] => [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) => [1,3,1,1,1] => 1
[4,6,5,1,2,7,3] => [3,7,2,1,5,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,6,5,1,3,2,7] => [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) => [1,2,2,1,1] => 1
[4,6,5,1,3,7,2] => [2,7,3,1,5,6,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,5,1,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,5,1,7,3,2] => [2,3,7,1,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,5,2,1,3,7] => [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) => [1,2,2,1,1] => 1
[4,6,5,2,1,7,3] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,6,5,2,3,1,7] => [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) => [1,1,1,1,2,1] => 1
[4,6,5,2,3,7,1] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,5,2,7,1,3] => [3,1,7,2,5,6,4] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,5,2,7,3,1] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,5,3,1,2,7] => [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) => [1,1,1,1,2,1] => 1
[4,6,5,3,1,7,2] => [2,7,1,3,5,6,4] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,5,3,2,1,7] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[4,6,5,3,7,1,2] => [2,1,7,3,5,6,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,5,7,1,2,3] => [3,2,1,7,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[4,6,5,7,1,3,2] => [2,3,1,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,6,5,7,2,1,3] => [3,1,2,7,5,6,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[4,6,5,7,2,3,1] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[4,6,5,7,3,1,2] => [2,1,3,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[4,6,7,1,2,3,5] => [5,3,2,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,6,7,1,2,5,3] => [3,5,2,1,7,6,4] => ([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[4,6,7,1,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,7,1,3,5,2] => [2,5,3,1,7,6,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,6,7,1,5,2,3] => [3,2,5,1,7,6,4] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[4,6,7,1,5,3,2] => [2,3,5,1,7,6,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,7,2,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,6,7,2,1,5,3] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,7,2,3,1,5] => [5,1,3,2,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,6,7,2,3,5,1] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,3,1,2] => 2
[4,6,7,2,5,1,3] => [3,1,5,2,7,6,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,7,2,5,3,1] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[4,6,7,3,1,2,5] => [5,2,1,3,7,6,4] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,6,7,3,1,5,2] => [2,5,1,3,7,6,4] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,6,7,3,2,1,5] => [5,1,2,3,7,6,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,6,7,3,2,5,1] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,6,7,3,5,1,2] => [2,1,5,3,7,6,4] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,6,7,3,5,2,1] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,7,5,1,2,3] => [3,2,1,5,7,6,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[4,6,7,5,1,3,2] => [2,3,1,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[4,6,7,5,2,1,3] => [3,1,2,5,7,6,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[4,6,7,5,2,3,1] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,7,5,3,1,2] => [2,1,3,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[4,7,1,2,3,5,6] => [6,5,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,7,1,2,3,6,5] => [5,6,3,2,1,7,4] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[4,7,1,2,5,3,6] => [6,3,5,2,1,7,4] => ([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,2,5,6,3] => [3,6,5,2,1,7,4] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,7,1,2,6,3,5] => [5,3,6,2,1,7,4] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,2,6,5,3] => [3,5,6,2,1,7,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,2,6,5] => [5,6,2,3,1,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,5,2,6] => [6,2,5,3,1,7,4] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,5,6,2] => [2,6,5,3,1,7,4] => ([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,6,2,5] => [5,2,6,3,1,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,3,6,5,2] => [2,5,6,3,1,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,2,3,6] => [6,3,2,5,1,7,4] => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,2,6,3] => [3,6,2,5,1,7,4] => ([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,3,2,6] => [6,2,3,5,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,3,6,2] => [2,6,3,5,1,7,4] => ([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,6,2,3] => [3,2,6,5,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,5,6,3,2] => [2,3,6,5,1,7,4] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,2,3,5] => [5,3,2,6,1,7,4] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,2,5,3] => [3,5,2,6,1,7,4] => ([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,3,2,5] => [5,2,3,6,1,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,3,5,2] => [2,5,3,6,1,7,4] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,5,2,3] => [3,2,5,6,1,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,1,6,5,3,2] => [2,3,5,6,1,7,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,3,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,3,6,5] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,5,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,5,6,3] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,6,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,2,1,6,5,3] => [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) => [1,1,2,1,1,1] => 1
[4,7,2,3,1,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,2,3,1,6,5] => [5,6,1,3,2,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[4,7,2,3,5,1,6] => [6,1,5,3,2,7,4] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,3,5,6,1] => [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) => [1,1,1,1,1,2] => 2
[4,7,2,3,6,1,5] => [5,1,6,3,2,7,4] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,3,6,5,1] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[4,7,2,5,1,3,6] => [6,3,1,5,2,7,4] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,5,1,6,3] => [3,6,1,5,2,7,4] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,5,3,1,6] => [6,1,3,5,2,7,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,5,3,6,1] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,2,5,6,1,3] => [3,1,6,5,2,7,4] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,5,6,3,1] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,7,2,6,1,3,5] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,6,1,5,3] => [3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,6,3,1,5] => [5,1,3,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,6,3,5,1] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,7,2,6,5,1,3] => [3,1,5,6,2,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[4,7,2,6,5,3,1] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[4,7,3,1,2,5,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,3,1,2,6,5] => [5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[4,7,3,1,5,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,3,1,5,6,2] => [2,6,5,1,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,1,6,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,3,1,6,5,2] => [2,5,6,1,3,7,4] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,2,1,5,6] => [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) => [1,1,1,2,1,1] => 1
[4,7,3,2,1,6,5] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,7,3,2,5,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,3,2,5,6,1] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,3,2,6,1,5] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,2,6,5,1] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,7,3,5,1,2,6] => [6,2,1,5,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,5,1,6,2] => [2,6,1,5,3,7,4] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,5,2,1,6] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,5,2,6,1] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,3,5,6,1,2] => [2,1,6,5,3,7,4] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,3,5,6,2,1] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,3,6,1,2,5] => [5,2,1,6,3,7,4] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,6,1,5,2] => [2,5,1,6,3,7,4] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,3,6,2,1,5] => [5,1,2,6,3,7,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,7,3,6,2,5,1] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,3,6,5,1,2] => [2,1,5,6,3,7,4] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[4,7,3,6,5,2,1] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,5,1,2,3,6] => [6,3,2,1,5,7,4] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,7,5,1,2,6,3] => [3,6,2,1,5,7,4] => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,1,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,5,1,3,6,2] => [2,6,3,1,5,7,4] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,1,6,2,3] => [3,2,6,1,5,7,4] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[4,7,5,1,6,3,2] => [2,3,6,1,5,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,2,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[4,7,5,2,1,6,3] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,2,3,1,6] => [6,1,3,2,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,2,3,6,1] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,5,2,6,1,3] => [3,1,6,2,5,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,2,6,3,1] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,5,3,1,2,6] => [6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,3,1,6,2] => [2,6,1,3,5,7,4] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,5,3,2,1,6] => [6,1,2,3,5,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,7,5,3,2,6,1] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,5,3,6,1,2] => [2,1,6,3,5,7,4] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,5,3,6,2,1] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,5,6,1,2,3] => [3,2,1,6,5,7,4] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[4,7,5,6,1,3,2] => [2,3,1,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[4,7,5,6,2,1,3] => [3,1,2,6,5,7,4] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[4,7,5,6,2,3,1] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,5,6,3,1,2] => [2,1,3,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,5,6,3,2,1] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[4,7,6,1,2,3,5] => [5,3,2,1,6,7,4] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[4,7,6,1,2,5,3] => [3,5,2,1,6,7,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,1,3,2,5] => [5,2,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,1,3,5,2] => [2,5,3,1,6,7,4] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,1,5,2,3] => [3,2,5,1,6,7,4] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,1,5,3,2] => [2,3,5,1,6,7,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,7,6,2,1,3,5] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,2,1,5,3] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,2,3,1,5] => [5,1,3,2,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,7,6,2,3,5,1] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[4,7,6,2,5,1,3] => [3,1,5,2,6,7,4] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[4,7,6,2,5,3,1] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,6,3,1,2,5] => [5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[4,7,6,3,1,5,2] => [2,5,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[4,7,6,3,2,1,5] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[4,7,6,3,2,5,1] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[4,7,6,3,5,1,2] => [2,1,5,3,6,7,4] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[4,7,6,3,5,2,1] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[4,7,6,5,1,2,3] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,2,2] => 2
[4,7,6,5,1,3,2] => [2,3,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[4,7,6,5,2,1,3] => [3,1,2,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[4,7,6,5,2,3,1] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[4,7,6,5,3,1,2] => [2,1,3,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[5,1,2,3,4,6,7] => [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) => [2,3,1,1] => 1
[5,1,2,3,4,7,6] => [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) => [1,3,1,1,1] => 1
[5,1,2,3,6,4,7] => [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) => [1,1,2,1,1,1] => 1
[5,1,2,3,6,7,4] => [4,7,6,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[5,1,2,3,7,4,6] => [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) => [1,2,1,1,1,1] => 1
[5,1,2,3,7,6,4] => [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) => [1,2,1,1,1,1] => 1
[5,1,2,4,3,6,7] => [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) => [2,2,1,1,1] => 1
[5,1,2,4,3,7,6] => [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) => [1,2,1,1,1,1] => 1
[5,1,2,4,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,4,6,7,3] => [3,7,6,4,2,1,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,1,2,4,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,4,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,6,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,6,3,7,4] => [4,7,3,6,2,1,5] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,1,2,6,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,6,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,6,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,6,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,3,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,3,6,4] => [4,6,3,7,2,1,5] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,4,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,6,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,2,7,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,2,4,6,7] => [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) => [2,2,1,1,1] => 1
[5,1,3,2,4,7,6] => [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) => [1,2,1,1,1,1] => 1
[5,1,3,2,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,2,6,7,4] => [4,7,6,2,3,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,1,3,2,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,2,7,6,4] => [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) => [1,1,2,1,1,1] => 1
[5,1,3,4,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,1,3,4,2,7,6] => [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) => [1,1,2,1,1,1] => 1
[5,1,3,4,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,4,6,7,2] => [2,7,6,4,3,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,3,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,4,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,2,7,4] => [4,7,2,6,3,1,5] => ([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,6,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,2,6,4] => [4,6,2,7,3,1,5] => ([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,3,7,6,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,2,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,1,4,2,3,7,6] => [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) => [1,1,2,1,1,1] => 1
[5,1,4,2,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,2,6,7,3] => [3,7,6,2,4,1,5] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,4,2,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,2,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,3,2,6,7] => [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) => [2,1,2,1,1] => 1
[5,1,4,3,2,7,6] => [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) => [1,1,1,2,1,1] => 1
[5,1,4,3,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,3,6,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,3,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,3,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,2,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,2,7,3] => [3,7,2,6,4,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,3,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,6,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,7,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,7,2,6,3] => [3,6,2,7,4,1,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,4,7,3,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,7,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,4,7,6,2,3] => [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) => [1,1,2,1,1,1] => 1
[5,1,4,7,6,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,2,3,4,7] => [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) => [1,1,2,1,1,1] => 1
[5,1,6,2,3,7,4] => [4,7,3,2,6,1,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,6,2,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,2,4,7,3] => [3,7,4,2,6,1,5] => ([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,6,2,7,3,4] => [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) => [1,1,2,1,1,1] => 1
[5,1,6,2,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,2,7,4] => [4,7,2,3,6,1,5] => ([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,3,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,4,2,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,4,2,7,3] => [3,7,2,4,6,1,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,6,4,3,2,7] => [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) => [1,1,1,2,1,1] => 1
[5,1,6,4,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,4,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,4,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,7,2,3,4] => [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) => [1,3,1,1,1] => 1
[5,1,6,7,2,4,3] => [3,4,2,7,6,1,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,1,6,7,3,2,4] => [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) => [1,2,1,1,1,1] => 1
[5,1,6,7,3,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,7,4,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,6,7,4,3,2] => [2,3,4,7,6,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,1,7,2,3,4,6] => [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) => [1,1,2,1,1,1] => 1
[5,1,7,2,3,6,4] => [4,6,3,2,7,1,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,2,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,2,4,6,3] => [3,6,4,2,7,1,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,2,6,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,2,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,2,6,4] => [4,6,2,3,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,3,6,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,4,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,4,2,6,3] => [3,6,2,4,7,1,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,4,3,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,1,7,4,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,4,6,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,1,7,4,6,3,2] => [2,3,6,4,7,1,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,6,2,3,4] => [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) => [1,2,1,1,1,1] => 1
[5,1,7,6,2,4,3] => [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) => [1,1,1,2,1,1] => 1
[5,1,7,6,3,2,4] => [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) => [1,1,1,2,1,1] => 1
[5,1,7,6,3,4,2] => [2,4,3,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,6,4,2,3] => [3,2,4,6,7,1,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,1,7,6,4,3,2] => [2,3,4,6,7,1,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,2,1,3,4,6,7] => [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) => [2,2,1,1,1] => 1
[5,2,1,3,4,7,6] => [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) => [1,2,1,1,1,1] => 1
[5,2,1,3,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,3,6,7,4] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,2,1,3,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,3,7,6,4] => [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) => [1,1,2,1,1,1] => 1
[5,2,1,4,3,6,7] => [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) => [2,1,2,1,1] => 1
[5,2,1,4,3,7,6] => [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) => [1,1,1,2,1,1] => 1
[5,2,1,4,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,4,6,7,3] => [3,7,6,4,1,2,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,1,4,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,4,7,6,3] => [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) => [1,1,2,1,1,1] => 1
[5,2,1,6,3,4,7] => [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) => [1,1,1,2,1,1] => 1
[5,2,1,6,3,7,4] => [4,7,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,1,6,4,3,7] => [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) => [1,1,2,1,1,1] => 1
[5,2,1,6,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,6,7,3,4] => [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) => [1,1,2,1,1,1] => 1
[5,2,1,6,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,7,3,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,7,3,6,4] => [4,6,3,7,1,2,5] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,1,7,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,7,4,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,1,7,6,3,4] => [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) => [1,2,1,1,1,1] => 1
[5,2,1,7,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,1,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,2,3,1,4,7,6] => [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) => [1,1,2,1,1,1] => 1
[5,2,3,1,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,1,6,7,4] => [4,7,6,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,3,1,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,1,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,4,1,6,7] => [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) => [2,2,2,1] => 1
[5,2,3,4,1,7,6] => [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) => [1,3,2,1] => 1
[5,2,3,4,6,1,7] => [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) => [1,1,2,1,1,1] => 1
[5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[5,2,3,4,7,1,6] => [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) => [1,2,1,1,1,1] => 1
[5,2,3,4,7,6,1] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[5,2,3,6,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,6,1,7,4] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,3,6,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,6,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,3,6,7,1,4] => [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) => [1,2,1,1,1,1] => 1
[5,2,3,6,7,4,1] => [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) => [1,2,1,1,2] => 2
[5,2,3,7,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,7,1,6,4] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,3,7,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,7,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,3,7,6,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,3,7,6,4,1] => [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) => [1,1,2,1,2] => 2
[5,2,4,1,3,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,2,4,1,3,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,1,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,1,6,7,3] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,4,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,1,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,3,1,6,7] => [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) => [2,1,1,2,1] => 1
[5,2,4,3,1,7,6] => [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) => [1,2,1,2,1] => 1
[5,2,4,3,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,3,6,7,1] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,2,4,3,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,3,7,6,1] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[5,2,4,6,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,6,1,7,3] => [3,7,1,6,4,2,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,4,6,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,6,3,7,1] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,4,6,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,6,7,3,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,4,7,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,7,1,6,3] => [3,6,1,7,4,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,4,7,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,7,3,6,1] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,4,7,6,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,4,7,6,3,1] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,6,1,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,1,3,7,4] => [4,7,3,1,6,2,5] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,1,4,3,7] => [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) => [1,1,1,2,1,1] => 1
[5,2,6,1,4,7,3] => [3,7,4,1,6,2,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,1,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,1,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,3,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,3,1,7,4] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,3,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,3,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,6,3,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,3,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,6,4,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,4,1,7,3] => [3,7,1,4,6,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,4,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,4,3,7,1] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,6,4,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,4,7,3,1] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,6,7,1,3,4] => [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) => [1,2,1,1,1,1] => 1
[5,2,6,7,1,4,3] => [3,4,1,7,6,2,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,7,3,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,6,7,3,4,1] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,2,6,7,4,1,3] => [3,1,4,7,6,2,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,6,7,4,3,1] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,7,1,3,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,1,3,6,4] => [4,6,3,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,1,4,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,1,4,6,3] => [3,6,4,1,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,1,6,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,1,6,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,3,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,3,1,6,4] => [4,6,1,3,7,2,5] => ([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,3,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,3,4,6,1] => [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) => [1,1,1,1,1,2] => 2
[5,2,7,3,6,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,3,6,4,1] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,7,4,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,4,1,6,3] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,4,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,4,3,6,1] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,7,4,6,1,3] => [3,1,6,4,7,2,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,4,6,3,1] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,2,7,6,1,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,2,7,6,1,4,3] => [3,4,1,6,7,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,2,7,6,3,1,4] => [4,1,3,6,7,2,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,6,3,4,1] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,2,7,6,4,1,3] => [3,1,4,6,7,2,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,2,7,6,4,3,1] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,1,2,4,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,3,1,2,4,7,6] => [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) => [1,1,2,1,1,1] => 1
[5,3,1,2,6,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,2,6,7,4] => [4,7,6,2,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,1,2,7,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,2,7,6,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,4,2,6,7] => [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) => [2,1,1,1,1,1] => 1
[5,3,1,4,2,7,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,4,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,4,6,7,2] => [2,7,6,4,1,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,1,4,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,4,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,2,7,4] => [4,7,2,6,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,6,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,2,6,4] => [4,6,2,7,1,3,5] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,4,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,1,7,6,4,2] => [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) => [1,1,2,1,1,1] => 1
[5,3,2,1,4,6,7] => [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) => [2,1,2,1,1] => 1
[5,3,2,1,4,7,6] => [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) => [1,1,1,2,1,1] => 1
[5,3,2,1,6,4,7] => [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) => [1,1,1,2,1,1] => 1
[5,3,2,1,6,7,4] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,3,2,1,7,4,6] => [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) => [1,1,1,2,1,1] => 1
[5,3,2,1,7,6,4] => [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) => [1,1,1,2,1,1] => 1
[5,3,2,4,1,6,7] => [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) => [2,1,1,2,1] => 1
[5,3,2,4,1,7,6] => [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) => [1,2,1,2,1] => 1
[5,3,2,4,6,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,4,6,7,1] => [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) => [2,1,1,1,2] => 2
[5,3,2,4,7,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,4,7,6,1] => [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) => [1,1,1,1,1,2] => 2
[5,3,2,6,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,6,1,7,4] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,2,6,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,6,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[5,3,2,6,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,6,7,4,1] => [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) => [1,1,2,1,2] => 2
[5,3,2,7,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,7,1,6,4] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,2,7,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,2,7,4,6,1] => [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) => [1,1,2,1,2] => 2
[5,3,2,7,6,1,4] => [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) => [1,1,2,1,1,1] => 1
[5,3,2,7,6,4,1] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => 2
[5,3,4,1,2,6,7] => [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) => [2,2,2,1] => 1
[5,3,4,1,2,7,6] => [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) => [1,1,2,2,1] => 1
[5,3,4,1,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,4,1,6,7,2] => [2,7,6,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,4,1,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,4,1,7,6,2] => [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) => [1,2,1,1,1,1] => 1
[5,3,4,2,1,6,7] => [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) => [2,1,3,1] => 1
[5,3,4,2,1,7,6] => [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) => [1,1,1,3,1] => 1
[5,3,4,2,6,1,7] => [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) => [1,1,1,2,1,1] => 1
[5,3,4,2,6,7,1] => [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) => [2,1,2,2] => 2
[5,3,4,2,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[5,3,4,2,7,6,1] => [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) => [1,2,2,2] => 2
[5,3,4,6,1,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,4,6,1,7,2] => [2,7,1,6,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,4,6,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,4,6,7,1,2] => [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) => [2,1,2,2] => 2
[5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[5,3,4,7,1,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,4,7,1,6,2] => [2,6,1,7,4,3,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,4,7,2,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,4,7,2,6,1] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[5,3,4,7,6,1,2] => [2,1,6,7,4,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[5,3,4,7,6,2,1] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[5,3,6,1,2,4,7] => [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) => [1,1,2,1,1,1] => 1
[5,3,6,1,2,7,4] => [4,7,2,1,6,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,1,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,1,4,7,2] => [2,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,1,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,1,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,2,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,2,1,7,4] => [4,7,1,2,6,3,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,2,4,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,2,4,7,1] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,2,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,2,7,4,1] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,4,1,2,7] => [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) => [1,1,2,1,1,1] => 1
[5,3,6,4,1,7,2] => [2,7,1,4,6,3,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,4,2,1,7] => [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) => [1,1,1,1,2,1] => 1
[5,3,6,4,2,7,1] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,4,7,1,2] => [2,1,7,4,6,3,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,4,7,2,1] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,3,6,7,1,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,6,7,1,4,2] => [2,4,1,7,6,3,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,7,2,1,4] => [4,1,2,7,6,3,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[5,3,6,7,2,4,1] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,7,4,1,2] => [2,1,4,7,6,3,5] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,6,7,4,2,1] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,3,7,1,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,1,2,6,4] => [4,6,2,1,7,3,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,1,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,1,4,6,2] => [2,6,4,1,7,3,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,1,6,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,1,6,4,2] => [2,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,2,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,2,1,6,4] => [4,6,1,2,7,3,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,2,4,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,2,4,6,1] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,7,2,6,1,4] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,2,6,4,1] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,2,1,1,2] => 2
[5,3,7,4,1,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,3,7,4,1,6,2] => [2,6,1,4,7,3,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,4,2,1,6] => [6,1,2,4,7,3,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,4,2,6,1] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,7,4,6,1,2] => [2,1,6,4,7,3,5] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,3,7,4,6,2,1] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,3,7,6,1,2,4] => [4,2,1,6,7,3,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,6,1,4,2] => [2,4,1,6,7,3,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,6,2,1,4] => [4,1,2,6,7,3,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,3,7,6,2,4,1] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,3,7,6,4,1,2] => [2,1,4,6,7,3,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[5,3,7,6,4,2,1] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,4,1,2,3,6,7] => [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) => [2,2,2,1] => 1
[5,4,1,2,3,7,6] => [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) => [1,3,2,1] => 1
[5,4,1,2,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,2,6,7,3] => [3,7,6,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,1,2,7,3,6] => [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) => [1,2,1,1,1,1] => 1
[5,4,1,2,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,3,2,6,7] => [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) => [2,1,1,2,1] => 1
[5,4,1,3,2,7,6] => [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) => [1,2,1,2,1] => 1
[5,4,1,3,6,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,3,6,7,2] => [2,7,6,3,1,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,1,3,7,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,3,7,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,6,2,3,7] => [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) => [1,1,2,1,1,1] => 1
[5,4,1,6,2,7,3] => [3,7,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,1,6,3,2,7] => [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) => [1,1,1,2,1,1] => 1
[5,4,1,6,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,6,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,6,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,7,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,7,2,6,3] => [3,6,2,7,1,4,5] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,1,7,3,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,1,7,3,6,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,1,7,6,2,3] => [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) => [1,1,2,1,1,1] => 1
[5,4,1,7,6,3,2] => [2,3,6,7,1,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,2,1,3,6,7] => [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) => [2,1,1,2,1] => 1
[5,4,2,1,3,7,6] => [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) => [1,2,1,2,1] => 1
[5,4,2,1,6,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,1,6,7,3] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,2,1,7,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,1,7,6,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,3,1,6,7] => [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) => [2,1,3,1] => 1
[5,4,2,3,1,7,6] => [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) => [1,1,1,3,1] => 1
[5,4,2,3,6,1,7] => [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) => [1,1,1,2,1,1] => 1
[5,4,2,3,6,7,1] => [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) => [2,1,2,2] => 2
[5,4,2,3,7,1,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,2,3,7,6,1] => [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) => [1,2,2,2] => 2
[5,4,2,6,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,6,1,7,3] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,2,6,3,1,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,6,3,7,1] => [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) => [1,1,1,1,1,2] => 2
[5,4,2,6,7,1,3] => [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) => [1,1,1,2,1,1] => 1
[5,4,2,6,7,3,1] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,4,2,7,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,7,1,6,3] => [3,6,1,7,2,4,5] => ([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,2,7,3,1,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,2,7,3,6,1] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,4,2,7,6,1,3] => [3,1,6,7,2,4,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,4,2,7,6,3,1] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,4,3,1,2,6,7] => [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) => [2,1,3,1] => 1
[5,4,3,1,2,7,6] => [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) => [1,1,1,3,1] => 1
[5,4,3,1,6,2,7] => [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) => [1,1,1,2,1,1] => 1
[5,4,3,1,6,7,2] => [2,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,4,3,1,7,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,3,1,7,6,2] => [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) => [1,1,1,2,1,1] => 1
[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) => [2,4,1] => 1
[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) => [1,1,4,1] => 1
[5,4,3,2,6,1,7] => [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) => [1,1,3,1,1] => 1
[5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[5,4,3,2,7,1,6] => [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) => [1,1,3,1,1] => 1
[5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[5,4,3,6,1,2,7] => [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) => [1,1,1,2,1,1] => 1
[5,4,3,6,1,7,2] => [2,7,1,6,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,4,3,6,2,1,7] => [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) => [1,1,2,2,1] => 1
[5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[5,4,3,7,1,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,3,7,1,6,2] => [2,6,1,7,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,4,3,7,2,1,6] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[5,4,3,7,2,6,1] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[5,4,3,7,6,1,2] => [2,1,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[5,4,6,1,2,3,7] => [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) => [1,3,1,1,1] => 1
[5,4,6,1,2,7,3] => [3,7,2,1,6,4,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,4,6,1,3,2,7] => [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) => [1,2,2,1,1] => 1
[5,4,6,1,3,7,2] => [2,7,3,1,6,4,5] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,6,1,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,4,6,1,7,3,2] => [2,3,7,1,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,6,2,1,3,7] => [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) => [1,2,2,1,1] => 1
[5,4,6,2,1,7,3] => [3,7,1,2,6,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,4,6,2,3,1,7] => [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) => [1,1,1,1,2,1] => 1
[5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,4,6,2,7,1,3] => [3,1,7,2,6,4,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,6,2,7,3,1] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,4,6,3,1,2,7] => [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) => [1,1,1,1,2,1] => 1
[5,4,6,3,1,7,2] => [2,7,1,3,6,4,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[5,4,6,7,1,3,2] => [2,3,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[5,4,7,1,2,3,6] => [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) => [1,2,1,1,1,1] => 1
[5,4,7,1,2,6,3] => [3,6,2,1,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,1,3,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,7,1,3,6,2] => [2,6,3,1,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,1,6,2,3] => [3,2,6,1,7,4,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,1,6,3,2] => [2,3,6,1,7,4,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,2,1,3,6] => [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) => [1,1,1,2,1,1] => 1
[5,4,7,2,1,6,3] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,4,7,2,3,1,6] => [6,1,3,2,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,2,3,6,1] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,4,7,2,6,1,3] => [3,1,6,2,7,4,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,2,6,3,1] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,4,7,3,1,2,6] => [6,2,1,3,7,4,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,3,1,6,2] => [2,6,1,3,7,4,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,4,7,3,2,1,6] => [6,1,2,3,7,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,4,7,3,2,6,1] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,4,7,3,6,1,2] => [2,1,6,3,7,4,5] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[5,4,7,3,6,2,1] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,4,7,6,1,2,3] => [3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [1,2,2,2] => 2
[5,4,7,6,1,3,2] => [2,3,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [1,1,2,1,2] => 2
[5,4,7,6,2,1,3] => [3,1,2,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [1,1,2,1,2] => 2
[5,4,7,6,2,3,1] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[5,4,7,6,3,1,2] => [2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [1,2,4] => 4
[5,6,1,2,3,4,7] => [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) => [1,3,1,1,1] => 1
[5,6,1,2,3,7,4] => [4,7,3,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,6,1,2,4,3,7] => [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) => [1,2,2,1,1] => 1
[5,6,1,2,4,7,3] => [3,7,4,2,1,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,1,2,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,2,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,3,2,4,7] => [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) => [1,2,2,1,1] => 1
[5,6,1,3,2,7,4] => [4,7,2,3,1,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,6,1,3,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,3,4,7,2] => [2,7,4,3,1,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,1,3,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,3,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,4,2,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,4,2,7,3] => [3,7,2,4,1,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,1,4,3,2,7] => [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) => [1,1,1,2,1,1] => 1
[5,6,1,4,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,4,7,2,3] => [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) => [1,1,2,1,1,1] => 1
[5,6,1,4,7,3,2] => [2,3,7,4,1,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,1,7,2,3,4] => [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) => [1,2,1,1,1,1] => 1
[5,6,1,7,2,4,3] => [3,4,2,7,1,6,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,1,7,3,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,1,7,3,4,2] => [2,4,3,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[5,6,1,7,4,2,3] => [3,2,4,7,1,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[5,6,1,7,4,3,2] => [2,3,4,7,1,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,6,2,1,3,4,7] => [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) => [1,2,2,1,1] => 1
[5,6,2,1,3,7,4] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,6,2,1,4,3,7] => [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) => [1,1,3,1,1] => 1
[5,6,2,1,4,7,3] => [3,7,4,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[5,6,2,1,7,3,4] => [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) => [1,1,1,2,1,1] => 1
[5,6,2,1,7,4,3] => [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) => [1,1,2,1,1,1] => 1
[5,6,2,3,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,2,3,1,7,4] => [4,7,1,3,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,2,3,4,1,7] => [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) => [1,2,1,2,1] => 1
[5,6,2,3,4,7,1] => [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) => [1,2,1,1,2] => 2
[5,6,2,3,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,2,3,7,4,1] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,6,2,4,1,3,7] => [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) => [1,1,2,1,1,1] => 1
[5,6,2,4,1,7,3] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,2,4,3,1,7] => [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) => [1,1,1,1,2,1] => 1
[5,6,2,4,3,7,1] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,6,2,4,7,1,3] => [3,1,7,4,2,6,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,2,4,7,3,1] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,6,2,7,1,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,2,7,1,4,3] => [3,4,1,7,2,6,5] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,2,7,3,1,4] => [4,1,3,7,2,6,5] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[5,6,2,7,3,4,1] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,3,1,2] => 2
[5,6,2,7,4,1,3] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,2,7,4,3,1] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,6,3,1,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,3,1,2,7,4] => [4,7,2,1,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,1,4,2,7] => [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) => [1,1,2,1,1,1] => 1
[5,6,3,1,4,7,2] => [2,7,4,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,1,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,6,3,1,7,4,2] => [2,4,7,1,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,2,1,4,7] => [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) => [1,1,1,2,1,1] => 1
[5,6,3,2,1,7,4] => [4,7,1,2,3,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,6,3,2,4,1,7] => [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) => [1,1,1,1,2,1] => 1
[5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,6,3,2,7,1,4] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,2,7,4,1] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,6,3,4,1,2,7] => [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) => [1,3,2,1] => 1
[5,6,3,4,1,7,2] => [2,7,1,4,3,6,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[5,6,3,7,1,2,4] => [4,2,1,7,3,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[5,6,3,7,1,4,2] => [2,4,1,7,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,7,2,1,4] => [4,1,2,7,3,6,5] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,3,7,2,4,1] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[5,6,3,7,4,1,2] => [2,1,4,7,3,6,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,6,3,7,4,2,1] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,6,4,1,2,3,7] => [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) => [1,2,1,2,1] => 1
[5,6,4,1,2,7,3] => [3,7,2,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,4,1,3,2,7] => [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) => [1,1,1,1,2,1] => 1
[5,6,4,1,3,7,2] => [2,7,3,1,4,6,5] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,4,1,7,2,3] => [3,2,7,1,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[5,6,4,1,7,3,2] => [2,3,7,1,4,6,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,6,4,2,1,3,7] => [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) => [1,1,1,1,2,1] => 1
[5,6,4,2,1,7,3] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,6,4,2,7,1,3] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,6,4,2,7,3,1] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[5,6,4,3,1,7,2] => [2,7,1,3,4,6,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[5,6,4,7,1,3,2] => [2,3,1,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[5,6,7,1,2,3,4] => [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) => [3,2,2] => 2
[5,6,7,1,2,4,3] => [3,4,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[5,6,7,1,3,2,4] => [4,2,3,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[5,6,7,1,3,4,2] => [2,4,3,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[5,6,7,1,4,2,3] => [3,2,4,1,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[5,6,7,1,4,3,2] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,2,2] => 2
[5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[5,6,7,2,1,4,3] => [3,4,1,2,7,6,5] => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [1,2,2,2] => 2
[5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => 3
[5,6,7,2,4,1,3] => [3,1,4,2,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [1,2,1,1,2] => 2
[5,6,7,2,4,3,1] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[5,6,7,3,1,4,2] => [2,4,1,3,7,6,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [1,2,1,1,2] => 2
[5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,2,2] => 2
[5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => 3
[5,6,7,4,1,3,2] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [2,5] => 5
[5,7,1,2,3,4,6] => [6,4,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[5,7,1,2,3,6,4] => [4,6,3,2,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,7,1,2,4,3,6] => [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) => [1,2,1,1,1,1] => 1
[5,7,1,2,4,6,3] => [3,6,4,2,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,2,6,3,4] => [4,3,6,2,1,7,5] => ([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,2,6,4,3] => [3,4,6,2,1,7,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,1,3,2,4,6] => [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) => [1,2,1,1,1,1] => 1
[5,7,1,3,2,6,4] => [4,6,2,3,1,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,3,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,1,3,4,6,2] => [2,6,4,3,1,7,5] => ([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,3,6,2,4] => [4,2,6,3,1,7,5] => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,3,6,4,2] => [2,4,6,3,1,7,5] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,4,2,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,1,4,2,6,3] => [3,6,2,4,1,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,4,3,2,6] => [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) => [1,1,1,2,1,1] => 1
[5,7,1,4,3,6,2] => [2,6,3,4,1,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,4,6,2,3] => [3,2,6,4,1,7,5] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,4,6,3,2] => [2,3,6,4,1,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,6,2,3,4] => [4,3,2,6,1,7,5] => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,7,1,6,2,4,3] => [3,4,2,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,6,3,2,4] => [4,2,3,6,1,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,6,3,4,2] => [2,4,3,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,6,4,2,3] => [3,2,4,6,1,7,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,1,6,4,3,2] => [2,3,4,6,1,7,5] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,2,1,3,4,6] => [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) => [1,2,1,1,1,1] => 1
[5,7,2,1,3,6,4] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,1,4,3,6] => [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) => [1,1,2,1,1,1] => 1
[5,7,2,1,4,6,3] => [3,6,4,1,2,7,5] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,1,6,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,2,1,6,4,3] => [3,4,6,1,2,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,2,3,1,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,2,3,1,6,4] => [4,6,1,3,2,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,3,4,1,6] => [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) => [1,2,1,1,1,1] => 1
[5,7,2,3,4,6,1] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[5,7,2,3,6,1,4] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,3,6,4,1] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,2,4,1,3,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,2,4,1,6,3] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,4,3,1,6] => [6,1,3,4,2,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,4,3,6,1] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,2,4,6,1,3] => [3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,4,6,3,1] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,2,6,1,3,4] => [4,3,1,6,2,7,5] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,6,1,4,3] => [3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,6,3,1,4] => [4,1,3,6,2,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,6,3,4,1] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[5,7,2,6,4,1,3] => [3,1,4,6,2,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,2,6,4,3,1] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,1,2,4,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,3,1,2,6,4] => [4,6,2,1,3,7,5] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,1,4,2,6] => [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) => [1,1,1,1,1,1,1] => 1
[5,7,3,1,4,6,2] => [2,6,4,1,3,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,1,6,2,4] => [4,2,6,1,3,7,5] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,1,6,4,2] => [2,4,6,1,3,7,5] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,2,1,4,6] => [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) => [1,1,1,2,1,1] => 1
[5,7,3,2,1,6,4] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,7,3,2,4,1,6] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,2,4,6,1] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,2,6,1,4] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,2,6,4,1] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[5,7,3,4,1,2,6] => [6,2,1,4,3,7,5] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[5,7,3,4,1,6,2] => [2,6,1,4,3,7,5] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,4,2,1,6] => [6,1,2,4,3,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,3,4,2,6,1] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,4,6,1,2] => [2,1,6,4,3,7,5] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,4,6,2,1] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[5,7,3,6,1,2,4] => [4,2,1,6,3,7,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,6,1,4,2] => [2,4,1,6,3,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,3,6,2,1,4] => [4,1,2,6,3,7,5] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[5,7,3,6,2,4,1] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,6,4,1,2] => [2,1,4,6,3,7,5] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,3,6,4,2,1] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[5,7,4,1,2,3,6] => [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) => [1,2,1,1,1,1] => 1
[5,7,4,1,2,6,3] => [3,6,2,1,4,7,5] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,1,3,2,6] => [6,2,3,1,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,1,3,6,2] => [2,6,3,1,4,7,5] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,1,6,2,3] => [3,2,6,1,4,7,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,1,6,3,2] => [2,3,6,1,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,2,1,3,6] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,2,1,6,3] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,2,3,1,6] => [6,1,3,2,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,4,2,3,6,1] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,4,2,6,1,3] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,2,6,3,1] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,4,3,1,2,6] => [6,2,1,3,4,7,5] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[5,7,4,3,1,6,2] => [2,6,1,3,4,7,5] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[5,7,4,3,2,1,6] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[5,7,4,3,2,6,1] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[5,7,4,3,6,1,2] => [2,1,6,3,4,7,5] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,4,3,6,2,1] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[5,7,4,6,1,2,3] => [3,2,1,6,4,7,5] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [1,2,1,1,2] => 2
[5,7,4,6,1,3,2] => [2,3,1,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,4,6,2,1,3] => [3,1,2,6,4,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,4,6,2,3,1] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[5,7,4,6,3,1,2] => [2,1,3,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[5,7,4,6,3,2,1] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[5,7,6,1,2,3,4] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[5,7,6,1,2,4,3] => [3,4,2,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,7,6,1,3,2,4] => [4,2,3,1,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,7,6,1,3,4,2] => [2,4,3,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,7,6,1,4,2,3] => [3,2,4,1,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,7,6,1,4,3,2] => [2,3,4,1,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[5,7,6,2,1,3,4] => [4,3,1,2,6,7,5] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[5,7,6,2,1,4,3] => [3,4,1,2,6,7,5] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [1,1,2,1,2] => 2
[5,7,6,2,3,1,4] => [4,1,3,2,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,7,6,2,3,4,1] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,7,6,2,4,1,3] => [3,1,4,2,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,6,2,4,3,1] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[5,7,6,3,1,2,4] => [4,2,1,3,6,7,5] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[5,7,6,3,1,4,2] => [2,4,1,3,6,7,5] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[5,7,6,3,2,1,4] => [4,1,2,3,6,7,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[5,7,6,3,2,4,1] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[5,7,6,3,4,1,2] => [2,1,4,3,6,7,5] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[5,7,6,3,4,2,1] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[5,7,6,4,1,2,3] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[5,7,6,4,1,3,2] => [2,3,1,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[5,7,6,4,2,1,3] => [3,1,2,4,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[5,7,6,4,2,3,1] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[5,7,6,4,3,1,2] => [2,1,3,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[6,1,2,3,4,5,7] => [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) => [1,4,1,1] => 1
[6,1,2,3,4,7,5] => [5,7,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,3,1,1,1] => 1
[6,1,2,3,5,4,7] => [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) => [1,3,1,1,1] => 1
[6,1,2,3,5,7,4] => [4,7,5,3,2,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,1,2,3,7,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,1,2,3,7,5,4] => [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) => [1,2,1,1,1,1] => 1
[6,1,2,4,3,5,7] => [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) => [1,3,1,1,1] => 1
[6,1,2,4,3,7,5] => [5,7,3,4,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,1,2,4,5,3,7] => [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) => [1,2,1,1,1,1] => 1
[6,1,2,4,5,7,3] => [3,7,5,4,2,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,2,4,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,4,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,5,3,4,7] => [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) => [1,2,1,1,1,1] => 1
[6,1,2,5,3,7,4] => [4,7,3,5,2,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,2,5,4,3,7] => [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) => [1,2,2,1,1] => 1
[6,1,2,5,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,5,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,5,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,7,3,4,5] => [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) => [1,1,2,1,1,1] => 1
[6,1,2,7,3,5,4] => [4,5,3,7,2,1,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,2,7,4,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,7,4,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,7,5,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,2,7,5,4,3] => [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) => [1,1,1,2,1,1] => 1
[6,1,3,2,4,5,7] => [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) => [1,3,1,1,1] => 1
[6,1,3,2,4,7,5] => [5,7,4,2,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,1,3,2,5,4,7] => [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) => [1,2,2,1,1] => 1
[6,1,3,2,5,7,4] => [4,7,5,2,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,3,2,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,2,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,4,2,5,7] => [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) => [1,2,1,1,1,1] => 1
[6,1,3,4,2,7,5] => [5,7,2,4,3,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,3,4,5,2,7] => [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) => [1,1,2,1,1,1] => 1
[6,1,3,4,5,7,2] => [2,7,5,4,3,1,6] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[6,1,3,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,2,7,4] => [4,7,2,5,3,1,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,2,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,2,5,4] => [4,5,2,7,3,1,6] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,4,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,3,7,5,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,2,3,5,7] => [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) => [1,2,1,1,1,1] => 1
[6,1,4,2,3,7,5] => [5,7,3,2,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,4,2,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,2,5,7,3] => [3,7,5,2,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,4,2,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,3,2,5,7] => [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) => [1,2,2,1,1] => 1
[6,1,4,3,2,7,5] => [5,7,2,3,4,1,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,1,4,3,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,3,5,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,5,2,3,7] => [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) => [1,1,2,1,1,1] => 1
[6,1,4,5,2,7,3] => [3,7,2,5,4,1,6] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,4,5,3,2,7] => [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) => [1,1,1,2,1,1] => 1
[6,1,4,5,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,5,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,5,7,3,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,2,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,2,5,3] => [3,5,2,7,4,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,3,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,5,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,4,7,5,3,2] => [2,3,5,7,4,1,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,2,3,4,7] => [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) => [1,1,2,1,1,1] => 1
[6,1,5,2,3,7,4] => [4,7,3,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,2,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,2,4,7,3] => [3,7,4,2,5,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,2,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,2,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,3,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,3,2,7,4] => [4,7,2,3,5,1,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,3,4,2,7] => [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) => [1,1,1,2,1,1] => 1
[6,1,5,3,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,3,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,3,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,4,2,3,7] => [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) => [1,1,1,2,1,1] => 1
[6,1,5,4,2,7,3] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,4,3,2,7] => [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) => [1,1,3,1,1] => 1
[6,1,5,4,3,7,2] => [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) => [1,1,2,1,1,1] => 1
[6,1,5,4,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,4,7,3,2] => [2,3,7,4,5,1,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,7,2,3,4] => [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) => [1,2,1,1,1,1] => 1
[6,1,5,7,2,4,3] => [3,4,2,7,5,1,6] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,7,3,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,5,7,3,4,2] => [2,4,3,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,7,4,2,3] => [3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,5,7,4,3,2] => [2,3,4,7,5,1,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,1,7,2,3,4,5] => [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) => [1,3,1,1,1] => 1
[6,1,7,2,3,5,4] => [4,5,3,2,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,1,7,2,4,3,5] => [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) => [1,2,1,1,1,1] => 1
[6,1,7,2,4,5,3] => [3,5,4,2,7,1,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,2,5,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,7,2,5,4,3] => [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) => [1,1,1,2,1,1] => 1
[6,1,7,3,2,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,1,7,3,2,5,4] => [4,5,2,3,7,1,6] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,2,1,1,1] => 1
[6,1,7,3,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,7,3,4,5,2] => [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) => [1,2,1,1,1,1] => 1
[6,1,7,3,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,7,3,5,4,2] => [2,4,5,3,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,4,2,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,1,7,4,2,5,3] => [3,5,2,4,7,1,6] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,4,3,2,5] => [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) => [1,1,1,2,1,1] => 1
[6,1,7,4,3,5,2] => [2,5,3,4,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,4,5,2,3] => [3,2,5,4,7,1,6] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,1,7,4,5,3,2] => [2,3,5,4,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,1,7,5,2,3,4] => [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) => [1,2,1,1,1,1] => 1
[6,1,7,5,2,4,3] => [3,4,2,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,5,3,2,4] => [4,2,3,5,7,1,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,1,7,5,3,4,2] => [2,4,3,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,1,7,5,4,2,3] => [3,2,4,5,7,1,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,1,7,5,4,3,2] => [2,3,4,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[6,2,1,3,4,5,7] => [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) => [1,3,1,1,1] => 1
[6,2,1,3,4,7,5] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,2,1,3,5,4,7] => [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) => [1,2,2,1,1] => 1
[6,2,1,3,5,7,4] => [4,7,5,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,1,3,7,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,3,7,5,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,4,3,5,7] => [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) => [1,2,2,1,1] => 1
[6,2,1,4,3,7,5] => [5,7,3,4,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,2,1,4,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,4,5,7,3] => [3,7,5,4,1,2,6] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,1,4,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,4,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,5,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,5,3,7,4] => [4,7,3,5,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,1,5,4,3,7] => [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) => [1,1,1,2,1,1] => 1
[6,2,1,5,4,7,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,5,7,3,4] => [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) => [1,1,2,1,1,1] => 1
[6,2,1,5,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,7,3,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,2,1,7,3,5,4] => [4,5,3,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,1,7,4,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,1,7,4,5,3] => [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) => [1,2,1,1,1,1] => 1
[6,2,1,7,5,3,4] => [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) => [1,2,1,1,1,1] => 1
[6,2,1,7,5,4,3] => [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) => [1,1,1,2,1,1] => 1
[6,2,3,1,4,5,7] => [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) => [1,2,1,1,1,1] => 1
[6,2,3,1,4,7,5] => [5,7,4,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,3,1,5,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,3,1,5,7,4] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,3,1,7,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,2,3,1,7,5,4] => [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) => [1,1,1,2,1,1] => 1
[6,2,3,4,1,5,7] => [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) => [1,1,2,1,1,1] => 1
[6,2,3,4,1,7,5] => [5,7,1,4,3,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[6,2,3,4,5,1,7] => [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) => [1,3,2,1] => 1
[6,2,3,4,5,7,1] => [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) => [1,3,1,2] => 2
[6,2,3,4,7,1,5] => [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) => [1,2,1,1,1,1] => 1
[6,2,3,4,7,5,1] => [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) => [1,2,1,1,2] => 2
[6,2,3,5,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,3,5,1,7,4] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,3,5,4,1,7] => [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) => [1,2,1,2,1] => 1
[6,2,3,5,4,7,1] => [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) => [1,2,1,1,2] => 2
[6,2,3,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,3,5,7,4,1] => [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) => [1,1,1,1,1,2] => 2
[6,2,3,7,1,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,2,3,7,1,5,4] => [4,5,1,7,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,3,7,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,3,7,4,5,1] => [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) => [1,1,1,1,1,2] => 2
[6,2,3,7,5,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,3,7,5,4,1] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,4,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,1,3,7,5] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,1,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,1,5,7,3] => [3,7,5,1,4,2,6] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,1,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,3,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,3,1,7,5] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,3,5,1,7] => [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) => [1,2,1,2,1] => 1
[6,2,4,3,5,7,1] => [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) => [1,2,1,1,2] => 2
[6,2,4,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,3,7,5,1] => [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) => [1,1,1,1,1,2] => 2
[6,2,4,5,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,5,1,7,3] => [3,7,1,5,4,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,5,3,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,2,4,5,3,7,1] => [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) => [1,1,1,1,1,2] => 2
[6,2,4,5,7,1,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,5,7,3,1] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,4,7,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,7,1,5,3] => [3,5,1,7,4,2,6] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,7,3,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,4,7,3,5,1] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,4,7,5,1,3] => [3,1,5,7,4,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,4,7,5,3,1] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,5,1,3,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,1,3,7,4] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,1,4,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,1,4,7,3] => [3,7,4,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,1,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,1,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,3,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,3,1,7,4] => [4,7,1,3,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,3,4,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,2,5,3,4,7,1] => [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) => [1,1,1,1,1,2] => 2
[6,2,5,3,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,3,7,4,1] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,5,4,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,4,1,7,3] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,4,3,1,7] => [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) => [1,1,2,2,1] => 1
[6,2,5,4,3,7,1] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,2,5,4,7,1,3] => [3,1,7,4,5,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,4,7,3,1] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,5,7,1,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,5,7,1,4,3] => [3,4,1,7,5,2,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,7,3,1,4] => [4,1,3,7,5,2,6] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,7,3,4,1] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,5,7,4,1,3] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,5,7,4,3,1] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,7,1,3,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,2,7,1,3,5,4] => [4,5,3,1,7,2,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,1,4,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,7,1,4,5,3] => [3,5,4,1,7,2,6] => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,1,5,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,7,1,5,4,3] => [3,4,5,1,7,2,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,2,7,3,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,7,3,1,5,4] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,3,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,7,3,4,5,1] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,2,7,3,5,1,4] => [4,1,5,3,7,2,6] => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,3,5,4,1] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,7,4,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,2,7,4,1,5,3] => [3,5,1,4,7,2,6] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,4,3,1,5] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,4,3,5,1] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,7,4,5,1,3] => [3,1,5,4,7,2,6] => ([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,4,5,3,1] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,7,5,1,3,4] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,5,1,4,3] => [3,4,1,5,7,2,6] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,5,3,1,4] => [4,1,3,5,7,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,5,3,4,1] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,2,7,5,4,1,3] => [3,1,4,5,7,2,6] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,2,7,5,4,3,1] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[6,3,1,2,4,5,7] => [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) => [1,2,1,1,1,1] => 1
[6,3,1,2,4,7,5] => [5,7,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,2,5,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,2,5,7,4] => [4,7,5,2,1,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,2,7,4,5] => [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) => [1,2,1,1,1,1] => 1
[6,3,1,2,7,5,4] => [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) => [1,1,1,2,1,1] => 1
[6,3,1,4,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,4,2,7,5] => [5,7,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,4,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,4,5,7,2] => [2,7,5,4,1,3,6] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,4,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,4,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,2,7,4] => [4,7,2,5,1,3,6] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,4,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,5,7,4,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,2,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,2,5,4] => [4,5,2,7,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,4,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,5,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,1,7,5,4,2] => [2,4,5,7,1,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,2,1,4,5,7] => [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) => [1,2,2,1,1] => 1
[6,3,2,1,4,7,5] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,3,2,1,5,4,7] => [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) => [1,1,1,2,1,1] => 1
[6,3,2,1,5,7,4] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,3,2,1,7,4,5] => [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) => [1,1,1,2,1,1] => 1
[6,3,2,1,7,5,4] => [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) => [1,1,3,1,1] => 1
[6,3,2,4,1,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,4,1,7,5] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,2,4,5,1,7] => [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) => [1,2,1,2,1] => 1
[6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,3,2,4,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,4,7,5,1] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,2,5,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,5,1,7,4] => [4,7,1,5,2,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,2,5,4,1,7] => [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) => [1,1,2,2,1] => 1
[6,3,2,5,4,7,1] => [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) => [1,1,2,1,2] => 2
[6,3,2,5,7,1,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,5,7,4,1] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,2,7,1,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,7,1,5,4] => [4,5,1,7,2,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [1,1,2,1,1,1] => 1
[6,3,2,7,4,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,2,7,4,5,1] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,3,2,7,5,1,4] => [4,1,5,7,2,3,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,2,7,5,4,1] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,3,4,1,2,5,7] => [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) => [1,1,2,1,1,1] => 1
[6,3,4,1,2,7,5] => [5,7,2,1,4,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[6,3,4,1,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,4,1,5,7,2] => [2,7,5,1,4,3,6] => ([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,4,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,4,1,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,4,2,1,5,7] => [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) => [1,1,1,2,1,1] => 1
[6,3,4,2,1,7,5] => [5,7,1,2,4,3,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,3,4,2,5,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,4,2,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,4,2,7,5,1] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,3,4,5,1,2,7] => [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) => [1,2,1,2,1] => 1
[6,3,4,5,1,7,2] => [2,7,1,5,4,3,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,3,4,5,2,1,7] => [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) => [1,2,3,1] => 1
[6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,3,4,7,1,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,4,7,1,5,2] => [2,5,1,7,4,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,4,7,2,1,5] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,4,7,2,5,1] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,3,4,7,5,1,2] => [2,1,5,7,4,3,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,4,7,5,2,1] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,3,5,1,2,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,5,1,2,7,4] => [4,7,2,1,5,3,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,1,4,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,5,1,4,7,2] => [2,7,4,1,5,3,6] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,1,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,5,1,7,4,2] => [2,4,7,1,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,2,1,4,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,5,2,1,7,4] => [4,7,1,2,5,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,2,4,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,3,5,2,4,7,1] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,5,2,7,1,4] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,2,7,4,1] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,5,4,1,2,7] => [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) => [1,1,1,1,2,1] => 1
[6,3,5,4,1,7,2] => [2,7,1,4,5,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,4,2,1,7] => [7,1,2,4,5,3,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,3,5,4,2,7,1] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,3,5,4,7,1,2] => [2,1,7,4,5,3,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,3,5,4,7,2,1] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,3,5,7,1,2,4] => [4,2,1,7,5,3,6] => ([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[6,3,5,7,1,4,2] => [2,4,1,7,5,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,7,2,1,4] => [4,1,2,7,5,3,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,5,7,2,4,1] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,5,7,4,1,2] => [2,1,4,7,5,3,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,5,7,4,2,1] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,3,7,1,2,4,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,7,1,2,5,4] => [4,5,2,1,7,3,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,1,4,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,3,7,1,4,5,2] => [2,5,4,1,7,3,6] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,1,5,2,4] => [4,2,5,1,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,1,5,4,2] => [2,4,5,1,7,3,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,2,1,4,5] => [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) => [1,1,1,2,1,1] => 1
[6,3,7,2,1,5,4] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,3,7,2,4,1,5] => [5,1,4,2,7,3,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,2,4,5,1] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,7,2,5,1,4] => [4,1,5,2,7,3,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,2,5,4,1] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,3,7,4,1,2,5] => [5,2,1,4,7,3,6] => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,4,1,5,2] => [2,5,1,4,7,3,6] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,4,2,1,5] => [5,1,2,4,7,3,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,4,2,5,1] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,7,4,5,1,2] => [2,1,5,4,7,3,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,7,4,5,2,1] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,3,7,5,1,2,4] => [4,2,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,5,1,4,2] => [2,4,1,5,7,3,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,5,2,1,4] => [4,1,2,5,7,3,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,3,7,5,2,4,1] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,7,5,4,1,2] => [2,1,4,5,7,3,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,3,7,5,4,2,1] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[6,4,1,2,3,5,7] => [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) => [1,1,2,1,1,1] => 1
[6,4,1,2,3,7,5] => [5,7,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,2,1,1,1,1] => 1
[6,4,1,2,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,2,5,7,3] => [3,7,5,2,1,4,6] => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,2,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,2,7,5,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,2,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,2,7,5] => [5,7,2,3,1,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,5,7,2] => [2,7,5,3,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,3,7,5,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,2,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,2,7,3] => [3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,3,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,3,7,2] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,7,2,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,5,7,3,2] => [2,3,7,5,1,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,2,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,2,5,3] => [3,5,2,7,1,4,6] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,3,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,3,5,2] => [2,5,3,7,1,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,5,2,3] => [3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,1,7,5,3,2] => [2,3,5,7,1,4,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,4,2,1,3,5,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,1,3,7,5] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,1,5,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,1,5,7,3] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,1,7,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,1,7,5,3] => [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) => [1,1,2,1,1,1] => 1
[6,4,2,3,1,5,7] => [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) => [1,1,1,2,1,1] => 1
[6,4,2,3,1,7,5] => [5,7,1,3,2,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,4,2,3,5,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,2,3,7,1,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,3,7,5,1] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,4,2,5,1,3,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,5,1,7,3] => [3,7,1,5,2,4,6] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,5,3,1,7] => [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) => [1,1,1,1,2,1] => 1
[6,4,2,5,3,7,1] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,2,5,7,1,3] => [3,1,7,5,2,4,6] => ([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,5,7,3,1] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,2,7,1,3,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,2,7,1,5,3] => [3,5,1,7,2,4,6] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,7,3,1,5] => [5,1,3,7,2,4,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,7,3,5,1] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,4,2,7,5,1,3] => [3,1,5,7,2,4,6] => ([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,2,7,5,3,1] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,3,1,2,5,7] => [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) => [1,1,1,2,1,1] => 1
[6,4,3,1,2,7,5] => [5,7,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,4,3,1,5,2,7] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,3,1,5,7,2] => [2,7,5,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,1,7,2,5] => [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) => [1,1,1,1,1,1,1] => 1
[6,4,3,1,7,5,2] => [2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,2,1,5,7] => [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) => [1,1,3,1,1] => 1
[6,4,3,2,1,7,5] => [5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,1,1] => 1
[6,4,3,2,5,1,7] => [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) => [1,1,2,2,1] => 1
[6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,4,3,2,7,1,5] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[6,4,3,2,7,5,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,4,3,5,1,2,7] => [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) => [1,1,1,1,2,1] => 1
[6,4,3,5,1,7,2] => [2,7,1,5,3,4,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,4,3,7,1,2,5] => [5,2,1,7,3,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,7,1,5,2] => [2,5,1,7,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,7,2,1,5] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,3,7,2,5,1] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,4,3,7,5,1,2] => [2,1,5,7,3,4,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,4,3,7,5,2,1] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,4,5,1,2,3,7] => [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) => [1,2,1,2,1] => 1
[6,4,5,1,2,7,3] => [3,7,2,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,5,1,3,2,7] => [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) => [1,1,1,1,2,1] => 1
[6,4,5,1,3,7,2] => [2,7,3,1,5,4,6] => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,5,1,7,2,3] => [3,2,7,1,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,2,1,1,1] => 1
[6,4,5,1,7,3,2] => [2,3,7,1,5,4,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,4,5,2,1,3,7] => [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) => [1,1,1,1,2,1] => 1
[6,4,5,2,1,7,3] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,4,5,2,7,1,3] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,5,2,7,3,1] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[6,4,5,3,1,7,2] => [2,7,1,3,5,4,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,3,1,2] => 2
[6,4,5,7,1,3,2] => [2,3,1,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,4,7,1,2,3,5] => [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) => [1,2,1,1,1,1] => 1
[6,4,7,1,2,5,3] => [3,5,2,1,7,4,6] => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,1,3,2,5] => [5,2,3,1,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,1,3,5,2] => [2,5,3,1,7,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,1,5,2,3] => [3,2,5,1,7,4,6] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,1,5,3,2] => [2,3,5,1,7,4,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,4,7,2,1,3,5] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,2,1,5,3] => [3,5,1,2,7,4,6] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,2,3,1,5] => [5,1,3,2,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,2,3,5,1] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[6,4,7,2,5,1,3] => [3,1,5,2,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,2,5,3,1] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[6,4,7,3,1,2,5] => [5,2,1,3,7,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,3,1,5,2] => [2,5,1,3,7,4,6] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,4,7,3,2,1,5] => [5,1,2,3,7,4,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,4,7,3,2,5,1] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,7,3,5,1,2] => [2,1,5,3,7,4,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,7,3,5,2,1] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[6,4,7,5,1,2,3] => [3,2,1,5,7,4,6] => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [1,2,1,1,2] => 2
[6,4,7,5,1,3,2] => [2,3,1,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,7,5,2,1,3] => [3,1,2,5,7,4,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,4,7,5,2,3,1] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,4,7,5,3,1,2] => [2,1,3,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,4,7,5,3,2,1] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[6,5,1,2,3,4,7] => [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) => [1,3,2,1] => 1
[6,5,1,2,3,7,4] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,1,1] => 1
[6,5,1,2,4,3,7] => [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) => [1,2,1,2,1] => 1
[6,5,1,2,4,7,3] => [3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,2,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,5,1,2,7,4,3] => [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) => [1,1,1,1,1,1,1] => 1
[6,5,1,3,2,4,7] => [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) => [1,2,1,2,1] => 1
[6,5,1,3,2,7,4] => [4,7,2,3,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,3,4,2,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,1,3,4,7,2] => [2,7,4,3,1,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,3,7,2,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,5,1,3,7,4,2] => [2,4,7,3,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,4,2,3,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,1,4,2,7,3] => [3,7,2,4,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,4,3,2,7] => [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) => [1,1,2,2,1] => 1
[6,5,1,4,3,7,2] => [2,7,3,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,4,7,2,3] => [3,2,7,4,1,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,4,7,3,2] => [2,3,7,4,1,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,1,7,2,3,4] => [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) => [1,2,1,1,1,1] => 1
[6,5,1,7,2,4,3] => [3,4,2,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,7,3,2,4] => [4,2,3,7,1,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,1,7,3,4,2] => [2,4,3,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,1,7,4,2,3] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,1,7,4,3,2] => [2,3,4,7,1,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[6,5,2,1,3,4,7] => [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) => [1,2,1,2,1] => 1
[6,5,2,1,3,7,4] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,1,4,3,7] => [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) => [1,1,2,2,1] => 1
[6,5,2,1,4,7,3] => [3,7,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,1,7,3,4] => [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) => [1,1,1,1,1,1,1] => 1
[6,5,2,1,7,4,3] => [3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,3,1,4,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,2,3,1,7,4] => [4,7,1,3,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,3,4,1,7] => [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) => [1,2,3,1] => 1
[6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,5,2,3,7,1,4] => [4,1,7,3,2,5,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,3,7,4,1] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,2,4,1,3,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,2,4,1,7,3] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,4,3,1,7] => [7,1,3,4,2,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,5,2,4,3,7,1] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,5,2,4,7,1,3] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,4,7,3,1] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,2,7,1,3,4] => [4,3,1,7,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,7,1,4,3] => [3,4,1,7,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,7,3,1,4] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,7,3,4,1] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,5,2,7,4,1,3] => [3,1,4,7,2,5,6] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,2,7,4,3,1] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[6,5,3,1,2,4,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,3,1,2,7,4] => [4,7,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,3,1,4,2,7] => [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) => [1,1,1,1,2,1] => 1
[6,5,3,1,4,7,2] => [2,7,4,1,3,5,6] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,3,1,7,2,4] => [4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,3,1,7,4,2] => [2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,3,2,1,4,7] => [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) => [1,1,2,2,1] => 1
[6,5,3,2,1,7,4] => [4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,1,1] => 1
[6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,5,3,2,7,1,4] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,3,2,7,4,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,3,1] => 1
[6,5,3,4,1,7,2] => [2,7,1,4,3,5,6] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,5,3,7,1,2,4] => [4,2,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,1,1,1,1] => 1
[6,5,3,7,1,4,2] => [2,4,1,7,3,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,5,3,7,2,1,4] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,5,3,7,2,4,1] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,3,7,4,1,2] => [2,1,4,7,3,5,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,3,7,4,2,1] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[6,5,4,1,2,3,7] => [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) => [1,2,3,1] => 1
[6,5,4,1,2,7,3] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,4,1,3,2,7] => [7,2,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,5,4,1,3,7,2] => [2,7,3,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,4,1,7,2,3] => [3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,4,1,7,3,2] => [2,3,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,3,1] => 1
[6,5,4,2,1,7,3] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,1,1] => 1
[6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,5,4,2,7,1,3] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,2,1,1] => 1
[6,5,4,2,7,3,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,4,1] => 1
[6,5,4,3,1,7,2] => [2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,3,1,1] => 1
[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) => [1,5,1] => 1
[6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,4,2] => 2
[6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [1,2,2,2] => 2
[6,5,4,7,1,3,2] => [2,3,1,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[6,5,7,1,2,4,3] => [3,4,2,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[6,5,7,1,3,2,4] => [4,2,3,1,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[6,5,7,1,3,4,2] => [2,4,3,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,5,7,1,4,2,3] => [3,2,4,1,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,5,7,1,4,3,2] => [2,3,4,1,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [2,1,1,1,2] => 2
[6,5,7,2,1,4,3] => [3,4,1,2,7,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [1,1,2,1,2] => 2
[6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[6,5,7,2,4,1,3] => [3,1,4,2,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,7,2,4,3,1] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[6,5,7,3,1,4,2] => [2,4,1,3,7,5,6] => ([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [1,1,3,2] => 2
[6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[6,5,7,4,1,3,2] => [2,3,1,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[6,7,1,2,3,4,5] => [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) => [4,1,2] => 2
[6,7,1,2,3,5,4] => [4,5,3,2,1,7,6] => ([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[6,7,1,2,4,3,5] => [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) => [3,1,1,2] => 2
[6,7,1,2,4,5,3] => [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) => [2,1,2,2] => 2
[6,7,1,2,5,3,4] => [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) => [2,1,2,2] => 2
[6,7,1,2,5,4,3] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[6,7,1,3,2,4,5] => [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) => [3,1,1,2] => 2
[6,7,1,3,2,5,4] => [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) => [2,2,1,2] => 2
[6,7,1,3,4,2,5] => [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) => [2,1,2,2] => 2
[6,7,1,3,4,5,2] => [2,5,4,3,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,1,3,5,2,4] => [4,2,5,3,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,1,3,5,4,2] => [2,4,5,3,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,1,4,2,3,5] => [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) => [2,1,2,2] => 2
[6,7,1,4,2,5,3] => [3,5,2,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,1,4,3,2,5] => [5,2,3,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[6,7,1,4,3,5,2] => [2,5,3,4,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,1,4,5,2,3] => [3,2,5,4,1,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,1,4,5,3,2] => [2,3,5,4,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,1,5,2,3,4] => [4,3,2,5,1,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,1,5,2,4,3] => [3,4,2,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,1,5,3,2,4] => [4,2,3,5,1,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,1,5,3,4,2] => [2,4,3,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,1,5,4,2,3] => [3,2,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,1,5,4,3,2] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,7,2,1,3,4,5] => [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) => [3,1,1,2] => 2
[6,7,2,1,3,5,4] => [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) => [2,2,1,2] => 2
[6,7,2,1,4,3,5] => [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) => [2,2,1,2] => 2
[6,7,2,1,4,5,3] => [3,5,4,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[6,7,2,1,5,3,4] => [4,3,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[6,7,2,1,5,4,3] => [3,4,5,1,2,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[6,7,2,3,1,4,5] => [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) => [2,1,2,2] => 2
[6,7,2,3,1,5,4] => [4,5,1,3,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[6,7,2,3,5,1,4] => [4,1,5,3,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,3,5,4,1] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,2,4,1,3,5] => [5,3,1,4,2,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,4,1,5,3] => [3,5,1,4,2,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,4,3,1,5] => [5,1,3,4,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,2,4,3,5,1] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,2,4,5,1,3] => [3,1,5,4,2,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,4,5,3,1] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,2,5,1,3,4] => [4,3,1,5,2,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,5,1,4,3] => [3,4,1,5,2,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,7,2,5,3,1,4] => [4,1,3,5,2,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,5,3,4,1] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,2,5,4,1,3] => [3,1,4,5,2,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,2,5,4,3,1] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,7,3,1,2,4,5] => [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) => [2,1,2,2] => 2
[6,7,3,1,2,5,4] => [4,5,2,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,2,2] => 2
[6,7,3,1,4,2,5] => [5,2,4,1,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,1,4,5,2] => [2,5,4,1,3,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,1,5,2,4] => [4,2,5,1,3,7,6] => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,1,5,4,2] => [2,4,5,1,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[6,7,3,2,1,5,4] => [4,5,1,2,3,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,3,2,5,1,4] => [4,1,5,2,3,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,7,3,2,5,4,1] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,3,4,1,5,2] => [2,5,1,4,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[6,7,3,5,1,2,4] => [4,2,1,5,3,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,5,1,4,2] => [2,4,1,5,3,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,5,2,1,4] => [4,1,2,5,3,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,3,5,2,4,1] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,7,3,5,4,1,2] => [2,1,4,5,3,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,7,3,5,4,2,1] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[6,7,4,1,2,5,3] => [3,5,2,1,4,7,6] => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,1,3,2,5] => [5,2,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,4,1,3,5,2] => [2,5,3,1,4,7,6] => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,1,5,2,3] => [3,2,5,1,4,7,6] => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,1,5,3,2] => [2,3,5,1,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[6,7,4,2,1,5,3] => [3,5,1,2,4,7,6] => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,4,2,5,1,3] => [3,1,5,2,4,7,6] => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,2,5,3,1] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[6,7,4,3,1,5,2] => [2,5,1,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [1,1,3,2] => 2
[6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,4,5,1,3,2] => [2,3,1,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => ([(0,3),(1,2),(4,6),(5,6)],7) => [1,2,1,3] => 3
[6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [3,4] => 4
[6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [3,4] => 4
[6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,5] => 5
[6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[6,7,5,1,2,4,3] => [3,4,2,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,5,1,3,2,4] => [4,2,3,1,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,5,1,3,4,2] => [2,4,3,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,5,1,4,2,3] => [3,2,4,1,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,5,1,4,3,2] => [2,3,4,1,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[6,7,5,2,1,4,3] => [3,4,1,2,5,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[6,7,5,2,4,1,3] => [3,1,4,2,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,7,5,2,4,3,1] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[6,7,5,3,1,4,2] => [2,4,1,3,5,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => [3,4] => 4
[6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,5] => 5
[6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[6,7,5,4,1,3,2] => [2,3,1,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,5] => 5
[6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => [2,5] => 5
[6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [1,6] => 6
[7,1,2,3,4,5,6] => [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) => [5,2] => 2
[7,1,2,3,4,6,5] => [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) => [4,1,2] => 2
[7,1,2,3,5,4,6] => [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) => [4,1,2] => 2
[7,1,2,3,5,6,4] => [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) => [3,1,1,2] => 2
[7,1,2,3,6,4,5] => [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) => [3,1,1,2] => 2
[7,1,2,3,6,5,4] => [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) => [3,2,2] => 2
[7,1,2,4,3,5,6] => [6,5,3,4,2,1,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,2] => 2
[7,1,2,4,3,6,5] => [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) => [3,2,2] => 2
[7,1,2,4,5,3,6] => [6,3,5,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[7,1,2,4,5,6,3] => [3,6,5,4,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[7,1,2,4,6,3,5] => [5,3,6,4,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[7,1,2,4,6,5,3] => [3,5,6,4,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[7,1,2,5,3,4,6] => [6,4,3,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,2] => 2
[7,1,2,5,3,6,4] => [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) => [2,1,1,1,2] => 2
[7,1,2,5,4,3,6] => [6,3,4,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => 2
[7,1,2,5,4,6,3] => [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) => [2,1,1,1,2] => 2
[7,1,2,5,6,3,4] => [4,3,6,5,2,1,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[7,1,2,5,6,4,3] => [3,4,6,5,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => 2
[7,1,2,6,3,4,5] => [5,4,3,6,2,1,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,2] => 2
[7,1,2,6,3,5,4] => [4,5,3,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[7,1,2,6,4,3,5] => [5,3,4,6,2,1,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,1,2] => 2
[7,1,2,6,4,5,3] => [3,5,4,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => 2
[7,1,2,6,5,3,4] => [4,3,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,2,2] => 2
[7,1,2,6,5,4,3] => [3,4,5,6,2,1,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,3,2] => 2
[7,1,3,2,4,5,6] => [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) => [4,1,2] => 2
[7,1,3,2,4,6,5] => [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) => [3,2,2] => 2
[7,1,3,2,5,4,6] => [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) => [3,2,2] => 2
[7,1,3,2,5,6,4] => [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) => [2,1,1,1,2] => 2
[7,1,3,2,6,4,5] => [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) => [2,1,1,1,2] => 2
[7,1,3,2,6,5,4] => [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) => [2,1,2,2] => 2
[7,1,3,4,2,5,6] => [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) => [3,1,1,2] => 2
[7,1,3,4,2,6,5] => [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) => [2,1,1,1,2] => 2
[7,1,3,4,5,2,6] => [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) => [2,2,1,2] => 2
[7,1,3,4,5,6,2] => [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) => [1,3,1,2] => 2
[7,1,3,4,6,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,4,6,5,2] => [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) => [1,2,1,1,2] => 2
[7,1,3,5,2,4,6] => [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) => [2,1,1,1,2] => 2
[7,1,3,5,2,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,5,4,2,6] => [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) => [2,1,1,1,2] => 2
[7,1,3,5,4,6,2] => [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) => [1,2,1,1,2] => 2
[7,1,3,5,6,2,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,5,6,4,2] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,2,4,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,2,5,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,4,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,4,5,2] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,5,2,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,3,6,5,4,2] => [2,4,5,6,3,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,1,4,2,3,5,6] => [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) => [3,1,1,2] => 2
[7,1,4,2,3,6,5] => [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) => [2,1,1,1,2] => 2
[7,1,4,2,5,3,6] => [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) => [2,1,1,1,2] => 2
[7,1,4,2,5,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,2,6,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,2,6,5,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,3,2,5,6] => [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) => [3,2,2] => 2
[7,1,4,3,2,6,5] => [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) => [2,1,2,2] => 2
[7,1,4,3,5,2,6] => [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) => [2,1,1,1,2] => 2
[7,1,4,3,5,6,2] => [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) => [1,2,1,1,2] => 2
[7,1,4,3,6,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,3,6,5,2] => [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) => [1,1,2,1,2] => 2
[7,1,4,5,2,3,6] => [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) => [2,2,1,2] => 2
[7,1,4,5,2,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,5,3,2,6] => [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) => [2,1,2,2] => 2
[7,1,4,5,3,6,2] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,5,6,2,3] => [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) => [1,2,1,1,2] => 2
[7,1,4,5,6,3,2] => [2,3,6,5,4,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,4,6,2,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,6,2,5,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,6,3,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,4,6,3,5,2] => [2,5,3,6,4,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,4,6,5,2,3] => [3,2,5,6,4,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,4,6,5,3,2] => [2,3,5,6,4,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,5,2,3,4,6] => [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) => [2,2,1,2] => 2
[7,1,5,2,3,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,2,4,3,6] => [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) => [2,1,1,1,2] => 2
[7,1,5,2,4,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,2,6,3,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,2,6,4,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,3,2,4,6] => [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) => [2,1,1,1,2] => 2
[7,1,5,3,2,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,3,4,2,6] => [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) => [2,1,2,2] => 2
[7,1,5,3,4,6,2] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,3,6,2,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,3,6,4,2] => [2,4,6,3,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,5,4,2,3,6] => [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) => [2,1,2,2] => 2
[7,1,5,4,2,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,5,4,3,2,6] => [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) => [2,3,2] => 2
[7,1,5,4,3,6,2] => [2,6,3,4,5,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,1,5,4,6,2,3] => [3,2,6,4,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,5,4,6,3,2] => [2,3,6,4,5,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,5,6,2,3,4] => [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) => [1,2,1,1,2] => 2
[7,1,5,6,2,4,3] => [3,4,2,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,5,6,3,2,4] => [4,2,3,6,5,1,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,5,6,3,4,2] => [2,4,3,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,5,6,4,2,3] => [3,2,4,6,5,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,5,6,4,3,2] => [2,3,4,6,5,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,1,6,2,3,4,5] => [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) => [1,3,1,2] => 2
[7,1,6,2,3,5,4] => [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) => [1,2,1,1,2] => 2
[7,1,6,2,4,3,5] => [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) => [1,2,1,1,2] => 2
[7,1,6,2,4,5,3] => [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) => [1,1,1,1,1,2] => 2
[7,1,6,2,5,3,4] => [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) => [1,1,1,1,1,2] => 2
[7,1,6,2,5,4,3] => [3,4,5,2,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,1,6,3,2,4,5] => [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) => [1,2,1,1,2] => 2
[7,1,6,3,2,5,4] => [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) => [1,1,2,1,2] => 2
[7,1,6,3,4,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,6,3,4,5,2] => [2,5,4,3,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,6,3,5,2,4] => [4,2,5,3,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,6,3,5,4,2] => [2,4,5,3,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,6,4,2,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,1,6,4,2,5,3] => [3,5,2,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,1,6,4,3,2,5] => [5,2,3,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,1,6,4,3,5,2] => [2,5,3,4,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,6,4,5,2,3] => [3,2,5,4,6,1,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,6,4,5,3,2] => [2,3,5,4,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,1,6,5,2,3,4] => [4,3,2,5,6,1,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,1,6,5,2,4,3] => [3,4,2,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,6,5,3,2,4] => [4,2,3,5,6,1,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,1,6,5,3,4,2] => [2,4,3,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,1,6,5,4,2,3] => [3,2,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,1,6,5,4,3,2] => [2,3,4,5,6,1,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,4,2] => 2
[7,2,1,3,4,5,6] => [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) => [4,1,2] => 2
[7,2,1,3,4,6,5] => [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) => [3,2,2] => 2
[7,2,1,3,5,4,6] => [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) => [3,2,2] => 2
[7,2,1,3,5,6,4] => [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) => [2,1,1,1,2] => 2
[7,2,1,3,6,4,5] => [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) => [2,1,1,1,2] => 2
[7,2,1,3,6,5,4] => [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) => [2,1,2,2] => 2
[7,2,1,4,3,5,6] => [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) => [3,2,2] => 2
[7,2,1,4,3,6,5] => [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) => [2,3,2] => 2
[7,2,1,4,5,3,6] => [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) => [2,1,1,1,2] => 2
[7,2,1,4,5,6,3] => [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) => [1,2,1,1,2] => 2
[7,2,1,4,6,3,5] => [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) => [1,1,2,1,2] => 2
[7,2,1,4,6,5,3] => [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) => [1,1,1,1,1,2] => 2
[7,2,1,5,3,4,6] => [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) => [2,1,1,1,2] => 2
[7,2,1,5,3,6,4] => [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) => [1,1,2,1,2] => 2
[7,2,1,5,4,3,6] => [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) => [2,1,2,2] => 2
[7,2,1,5,4,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,2,1,5,6,3,4] => [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) => [1,3,1,2] => 2
[7,2,1,5,6,4,3] => [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) => [1,2,2,2] => 2
[7,2,1,6,3,4,5] => [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) => [1,2,1,1,2] => 2
[7,2,1,6,3,5,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,1,6,4,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,1,6,4,5,3] => [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) => [1,2,2,2] => 2
[7,2,1,6,5,3,4] => [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) => [1,2,2,2] => 2
[7,2,1,6,5,4,3] => [3,4,5,6,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[7,2,3,1,4,5,6] => [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) => [3,1,1,2] => 2
[7,2,3,1,4,6,5] => [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) => [2,1,1,1,2] => 2
[7,2,3,1,5,4,6] => [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) => [2,1,1,1,2] => 2
[7,2,3,1,5,6,4] => [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) => [1,2,2,2] => 2
[7,2,3,1,6,4,5] => [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) => [1,2,2,2] => 2
[7,2,3,1,6,5,4] => [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) => [1,1,3,2] => 2
[7,2,3,4,1,5,6] => [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) => [2,2,1,2] => 2
[7,2,3,4,1,6,5] => [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) => [1,2,1,1,2] => 2
[7,2,3,4,5,1,6] => [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) => [1,3,1,2] => 2
[7,2,3,4,5,6,1] => [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) => [4,3] => 3
[7,2,3,4,6,1,5] => [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) => [1,2,1,1,2] => 2
[7,2,3,4,6,5,1] => [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) => [3,1,3] => 3
[7,2,3,5,1,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,3,5,1,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,3,5,4,1,6] => [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) => [1,2,1,1,2] => 2
[7,2,3,5,4,6,1] => [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) => [3,1,3] => 3
[7,2,3,5,6,1,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,3,5,6,4,1] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,2,3,6,1,4,5] => [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) => [1,2,1,1,2] => 2
[7,2,3,6,1,5,4] => [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) => [1,1,2,1,2] => 2
[7,2,3,6,4,1,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,3,6,4,5,1] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,2,3,6,5,1,4] => [4,1,5,6,3,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,3,6,5,4,1] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,2,4,1,3,5,6] => [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) => [2,1,1,1,2] => 2
[7,2,4,1,3,6,5] => [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) => [1,1,2,1,2] => 2
[7,2,4,1,5,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,1,5,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,1,6,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,1,6,5,3] => [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) => [1,1,2,1,2] => 2
[7,2,4,3,1,5,6] => [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) => [2,1,1,1,2] => 2
[7,2,4,3,1,6,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,3,5,1,6] => [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) => [1,2,1,1,2] => 2
[7,2,4,3,5,6,1] => [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) => [3,1,3] => 3
[7,2,4,3,6,1,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,3,6,5,1] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,2,4,5,1,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,5,1,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,5,3,1,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,5,3,6,1] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,2,4,5,6,1,3] => [3,1,6,5,4,2,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,2,4,5,6,3,1] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,2,4,6,1,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,4,6,1,5,3] => [3,5,1,6,4,2,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,4,6,3,1,5] => [5,1,3,6,4,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,4,6,3,5,1] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,4,6,5,1,3] => [3,1,5,6,4,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,4,6,5,3,1] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,5,1,3,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,1,3,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,1,4,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,1,4,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,1,6,3,4] => [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) => [1,2,1,1,2] => 2
[7,2,5,1,6,4,3] => [3,4,6,1,5,2,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,3,1,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,3,1,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,3,4,1,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,3,4,6,1] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,2,5,3,6,1,4] => [4,1,6,3,5,2,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,3,6,4,1] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,5,4,1,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,2,5,4,1,6,3] => [3,6,1,4,5,2,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,4,3,1,6] => [6,1,3,4,5,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,2,5,4,3,6,1] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,2,5,4,6,1,3] => [3,1,6,4,5,2,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,4,6,3,1] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,5,6,1,3,4] => [4,3,1,6,5,2,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,2,5,6,1,4,3] => [3,4,1,6,5,2,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,2,5,6,3,1,4] => [4,1,3,6,5,2,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,6,3,4,1] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,2,5,6,4,1,3] => [3,1,4,6,5,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,5,6,4,3,1] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,2,6,1,3,4,5] => [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) => [1,2,1,1,2] => 2
[7,2,6,1,3,5,4] => [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) => [1,1,1,1,1,2] => 2
[7,2,6,1,4,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,6,1,4,5,3] => [3,5,4,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,1,5,3,4] => [4,3,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,1,5,4,3] => [3,4,5,1,6,2,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[7,2,6,3,1,4,5] => [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) => [1,1,1,1,1,2] => 2
[7,2,6,3,1,5,4] => [4,5,1,3,6,2,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,3,4,1,5] => [5,1,4,3,6,2,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,3,4,5,1] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,2,6,3,5,1,4] => [4,1,5,3,6,2,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,3,5,4,1] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,6,4,1,3,5] => [5,3,1,4,6,2,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,4,1,5,3] => [3,5,1,4,6,2,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,4,3,1,5] => [5,1,3,4,6,2,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,4,3,5,1] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,2,6,4,5,1,3] => [3,1,5,4,6,2,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,4,5,3,1] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,2,6,5,1,3,4] => [4,3,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,5,1,4,3] => [3,4,1,5,6,2,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,5,3,1,4] => [4,1,3,5,6,2,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,2,6,5,3,4,1] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,2,6,5,4,1,3] => [3,1,4,5,6,2,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,2,6,5,4,3,1] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[7,3,1,2,4,5,6] => [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) => [3,1,1,2] => 2
[7,3,1,2,4,6,5] => [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) => [2,1,1,1,2] => 2
[7,3,1,2,5,4,6] => [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) => [2,1,1,1,2] => 2
[7,3,1,2,5,6,4] => [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) => [1,2,2,2] => 2
[7,3,1,2,6,4,5] => [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) => [1,2,2,2] => 2
[7,3,1,2,6,5,4] => [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) => [1,1,3,2] => 2
[7,3,1,4,2,5,6] => [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) => [2,1,1,1,2] => 2
[7,3,1,4,2,6,5] => [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) => [1,1,2,1,2] => 2
[7,3,1,4,5,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,4,5,6,2] => [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) => [1,2,1,1,2] => 2
[7,3,1,4,6,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,4,6,5,2] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,5,2,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,5,2,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,5,4,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,5,4,6,2] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,5,6,2,4] => [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) => [1,2,1,1,2] => 2
[7,3,1,5,6,4,2] => [2,4,6,5,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,1,6,2,4,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,6,2,5,4] => [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) => [1,1,2,1,2] => 2
[7,3,1,6,4,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,1,6,4,5,2] => [2,5,4,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,1,6,5,2,4] => [4,2,5,6,1,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,1,6,5,4,2] => [2,4,5,6,1,3,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[7,3,2,1,4,5,6] => [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) => [3,2,2] => 2
[7,3,2,1,4,6,5] => [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) => [2,1,2,2] => 2
[7,3,2,1,5,4,6] => [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) => [2,1,2,2] => 2
[7,3,2,1,5,6,4] => [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) => [1,1,3,2] => 2
[7,3,2,1,6,4,5] => [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) => [1,1,3,2] => 2
[7,3,2,1,6,5,4] => [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) => [1,4,2] => 2
[7,3,2,4,1,5,6] => [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) => [2,1,1,1,2] => 2
[7,3,2,4,1,6,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,2,4,5,1,6] => [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) => [1,2,1,1,2] => 2
[7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[7,3,2,4,6,1,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,2,4,6,5,1] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,3,2,5,1,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,2,5,1,6,4] => [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) => [1,1,2,1,2] => 2
[7,3,2,5,4,1,6] => [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) => [1,1,2,1,2] => 2
[7,3,2,5,4,6,1] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,3,2,5,6,1,4] => [4,1,6,5,2,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,2,5,6,4,1] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,3,2,6,1,4,5] => [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) => [1,1,2,1,2] => 2
[7,3,2,6,1,5,4] => [4,5,1,6,2,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => 2
[7,3,2,6,4,1,5] => [5,1,4,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,2,6,4,5,1] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,3,2,6,5,1,4] => [4,1,5,6,2,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,3,2,6,5,4,1] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[7,3,4,1,2,5,6] => [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) => [2,2,1,2] => 2
[7,3,4,1,2,6,5] => [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) => [1,3,1,2] => 2
[7,3,4,1,5,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,4,1,5,6,2] => [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) => [1,1,1,1,1,2] => 2
[7,3,4,1,6,2,5] => [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) => [1,2,1,1,2] => 2
[7,3,4,1,6,5,2] => [2,5,6,1,4,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,4,2,1,5,6] => [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) => [2,1,2,2] => 2
[7,3,4,2,1,6,5] => [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) => [1,2,2,2] => 2
[7,3,4,2,5,1,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,3,4,2,6,1,5] => [5,1,6,2,4,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,4,2,6,5,1] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,3,4,5,1,2,6] => [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) => [1,2,1,1,2] => 2
[7,3,4,5,1,6,2] => [2,6,1,5,4,3,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,4] => 4
[7,3,4,6,1,2,5] => [5,2,1,6,4,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,4,6,1,5,2] => [2,5,1,6,4,3,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,4,6,2,1,5] => [5,1,2,6,4,3,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,4,6,2,5,1] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,4,6,5,1,2] => [2,1,5,6,4,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,3,4,6,5,2,1] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,3,5,1,2,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,5,1,2,6,4] => [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) => [1,2,1,1,2] => 2
[7,3,5,1,4,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,5,1,4,6,2] => [2,6,4,1,5,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,1,6,2,4] => [4,2,6,1,5,3,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,5,1,6,4,2] => [2,4,6,1,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,2,1,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,3,5,2,1,6,4] => [4,6,1,2,5,3,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,2,4,1,6] => [6,1,4,2,5,3,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,2,4,6,1] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,5,2,6,1,4] => [4,1,6,2,5,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,2,6,4,1] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,5,4,1,2,6] => [6,2,1,4,5,3,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,4,1,6,2] => [2,6,1,4,5,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,5,4,2,1,6] => [6,1,2,4,5,3,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,3,5,4,2,6,1] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,5,4,6,1,2] => [2,1,6,4,5,3,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,3,5,4,6,2,1] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,3,5,6,1,2,4] => [4,2,1,6,5,3,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,3,1,2] => 2
[7,3,5,6,1,4,2] => [2,4,1,6,5,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[7,3,5,6,2,1,4] => [4,1,2,6,5,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,3,5,6,2,4,1] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,5,6,4,1,2] => [2,1,4,6,5,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,5,6,4,2,1] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,3,6,1,2,4,5] => [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) => [1,1,1,1,1,2] => 2
[7,3,6,1,2,5,4] => [4,5,2,1,6,3,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,6,1,4,2,5] => [5,2,4,1,6,3,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,1,4,5,2] => [2,5,4,1,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,1,5,2,4] => [4,2,5,1,6,3,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,1,5,4,2] => [2,4,5,1,6,3,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,2,1,4,5] => [5,4,1,2,6,3,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,2,1,5,4] => [4,5,1,2,6,3,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,3,6,2,4,1,5] => [5,1,4,2,6,3,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,2,4,5,1] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,6,2,5,1,4] => [4,1,5,2,6,3,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,2,5,4,1] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,6,4,1,2,5] => [5,2,1,4,6,3,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,4,1,5,2] => [2,5,1,4,6,3,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,4,2,1,5] => [5,1,2,4,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,4,2,5,1] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,6,4,5,1,2] => [2,1,5,4,6,3,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,6,4,5,2,1] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,3,6,5,1,2,4] => [4,2,1,5,6,3,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,3,6,5,1,4,2] => [2,4,1,5,6,3,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,3,6,5,2,1,4] => [4,1,2,5,6,3,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,3,6,5,2,4,1] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,3,6,5,4,1,2] => [2,1,4,5,6,3,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,3,6,5,4,2,1] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,4,1,2,3,5,6] => [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) => [2,2,1,2] => 2
[7,4,1,2,3,6,5] => [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) => [1,2,1,1,2] => 2
[7,4,1,2,5,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,2,5,6,3] => [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) => [1,2,1,1,2] => 2
[7,4,1,2,6,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,2,6,5,3] => [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) => [1,1,2,1,2] => 2
[7,4,1,3,2,5,6] => [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) => [2,1,1,1,2] => 2
[7,4,1,3,2,6,5] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,3,5,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,3,5,6,2] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,3,6,2,5] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,3,6,5,2] => [2,5,6,3,1,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,5,2,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,5,2,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,5,3,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,5,3,6,2] => [2,6,3,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,5,6,2,3] => [3,2,6,5,1,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,1,5,6,3,2] => [2,3,6,5,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,6,2,3,5] => [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) => [1,1,1,1,1,2] => 2
[7,4,1,6,2,5,3] => [3,5,2,6,1,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,6,3,2,5] => [5,2,3,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,6,3,5,2] => [2,5,3,6,1,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,1,6,5,2,3] => [3,2,5,6,1,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,1,6,5,3,2] => [2,3,5,6,1,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,1,3,5,6] => [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) => [2,1,1,1,2] => 2
[7,4,2,1,3,6,5] => [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) => [1,1,1,1,1,2] => 2
[7,4,2,1,5,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,2,1,5,6,3] => [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) => [1,1,2,1,2] => 2
[7,4,2,1,6,3,5] => [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) => [1,1,2,1,2] => 2
[7,4,2,1,6,5,3] => [3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,1,2] => 2
[7,4,2,3,1,5,6] => [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) => [2,1,2,2] => 2
[7,4,2,3,1,6,5] => [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) => [1,2,2,2] => 2
[7,4,2,3,5,1,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,4,2,3,6,1,5] => [5,1,6,3,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,3,6,5,1] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,4,2,5,1,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,2,5,1,6,3] => [3,6,1,5,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,5,3,1,6] => [6,1,3,5,2,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,5,3,6,1] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,2,5,6,1,3] => [3,1,6,5,2,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,5,6,3,1] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,2,6,1,3,5] => [5,3,1,6,2,4,7] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,6,1,5,3] => [3,5,1,6,2,4,7] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,2,6,3,1,5] => [5,1,3,6,2,4,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,2,6,3,5,1] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,2,6,5,1,3] => [3,1,5,6,2,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,2,6,5,3,1] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,3,1,2,5,6] => [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) => [2,1,2,2] => 2
[7,4,3,1,2,6,5] => [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) => [1,2,2,2] => 2
[7,4,3,1,5,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,4,3,1,5,6,2] => [2,6,5,1,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,3,1,6,2,5] => [5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,3,1,6,5,2] => [2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,3,2,1,5,6] => [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) => [2,3,2] => 2
[7,4,3,2,1,6,5] => [5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,3,2] => 2
[7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,4,3,2,6,1,5] => [5,1,6,2,3,4,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[7,4,3,2,6,5,1] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,3,5,1,6,2] => [2,6,1,5,3,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,4,3,6,1,2,5] => [5,2,1,6,3,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,3,6,1,5,2] => [2,5,1,6,3,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,3,6,2,1,5] => [5,1,2,6,3,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,3,6,2,5,1] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,3,6,5,1,2] => [2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[7,4,3,6,5,2,1] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [1,2,4] => 4
[7,4,5,1,2,3,6] => [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) => [1,2,1,1,2] => 2
[7,4,5,1,2,6,3] => [3,6,2,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,5,1,3,2,6] => [6,2,3,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,5,1,3,6,2] => [2,6,3,1,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,5,1,6,2,3] => [3,2,6,1,5,4,7] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [1,3,1,2] => 2
[7,4,5,1,6,3,2] => [2,3,6,1,5,4,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,5,2,1,6,3] => [3,6,1,2,5,4,7] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,4,5,2,6,1,3] => [3,1,6,2,5,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[7,4,5,2,6,3,1] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,4,5,3,1,6,2] => [2,6,1,3,5,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => 3
[7,4,5,6,1,3,2] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [2,5] => 5
[7,4,6,1,2,3,5] => [5,3,2,1,6,4,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,4,6,1,2,5,3] => [3,5,2,1,6,4,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,1,3,2,5] => [5,2,3,1,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,1,3,5,2] => [2,5,3,1,6,4,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,1,5,2,3] => [3,2,5,1,6,4,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[7,4,6,1,5,3,2] => [2,3,5,1,6,4,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,2,1,3,5] => [5,3,1,2,6,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,2,1,5,3] => [3,5,1,2,6,4,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,6,2,3,1,5] => [5,1,3,2,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,2,3,5,1] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,6,2,5,1,3] => [3,1,5,2,6,4,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,2,5,3,1] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,4,6,3,1,2,5] => [5,2,1,3,6,4,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,3,1,5,2] => [2,5,1,3,6,4,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,4,6,3,2,1,5] => [5,1,2,3,6,4,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,4,6,3,2,5,1] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,4,6,3,5,1,2] => [2,1,5,3,6,4,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[7,4,6,3,5,2,1] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,4,6,5,1,2,3] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[7,4,6,5,1,3,2] => [2,3,1,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[7,4,6,5,2,1,3] => [3,1,2,5,6,4,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[7,4,6,5,2,3,1] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,4,6,5,3,1,2] => [2,1,3,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,4,6,5,3,2,1] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,5,1,2,3,4,6] => [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) => [1,3,1,2] => 2
[7,5,1,2,3,6,4] => [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) => [1,2,1,1,2] => 2
[7,5,1,2,4,3,6] => [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) => [1,2,1,1,2] => 2
[7,5,1,2,4,6,3] => [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) => [1,1,1,1,1,2] => 2
[7,5,1,2,6,3,4] => [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) => [1,1,1,1,1,2] => 2
[7,5,1,2,6,4,3] => [3,4,6,2,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,3,2,4,6] => [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) => [1,2,1,1,2] => 2
[7,5,1,3,2,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,5,1,3,4,2,6] => [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) => [1,1,1,1,1,2] => 2
[7,5,1,3,4,6,2] => [2,6,4,3,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,3,6,2,4] => [4,2,6,3,1,5,7] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,3,6,4,2] => [2,4,6,3,1,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,4,2,3,6] => [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) => [1,1,1,1,1,2] => 2
[7,5,1,4,2,6,3] => [3,6,2,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,4,3,2,6] => [6,2,3,4,1,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,1,4,3,6,2] => [2,6,3,4,1,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,4,6,2,3] => [3,2,6,4,1,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,4,6,3,2] => [2,3,6,4,1,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,6,2,3,4] => [4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,5,1,6,2,4,3] => [3,4,2,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,6,3,2,4] => [4,2,3,6,1,5,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,6,3,4,2] => [2,4,3,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,6,4,2,3] => [3,2,4,6,1,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,1,6,4,3,2] => [2,3,4,6,1,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,2,1,3,4,6] => [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) => [1,2,1,1,2] => 2
[7,5,2,1,3,6,4] => [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) => [1,1,1,1,1,2] => 2
[7,5,2,1,4,3,6] => [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) => [1,1,2,1,2] => 2
[7,5,2,1,4,6,3] => [3,6,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,1,6,3,4] => [4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,2,1,6,4,3] => [3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,5,2,3,1,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,5,2,3,1,6,4] => [4,6,1,3,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,5,2,3,6,1,4] => [4,1,6,3,2,5,7] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,3,6,4,1] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,2,4,1,3,6] => [6,3,1,4,2,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,4,1,6,3] => [3,6,1,4,2,5,7] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,4,3,1,6] => [6,1,3,4,2,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,5,2,4,3,6,1] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,2,4,6,1,3] => [3,1,6,4,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,4,6,3,1] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,2,6,1,3,4] => [4,3,1,6,2,5,7] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,6,1,4,3] => [3,4,1,6,2,5,7] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,2,6,3,1,4] => [4,1,3,6,2,5,7] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,6,3,4,1] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,2,6,4,1,3] => [3,1,4,6,2,5,7] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,2,6,4,3,1] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,3,1,2,4,6] => [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) => [1,1,1,1,1,2] => 2
[7,5,3,1,2,6,4] => [4,6,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,1,4,2,6] => [6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,1,4,6,2] => [2,6,4,1,3,5,7] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,1,6,2,4] => [4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,1,6,4,2] => [2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,3,2,1,6,4] => [4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,1,2] => 2
[7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,3,2,6,1,4] => [4,1,6,2,3,5,7] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,2,6,4,1] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,5,3,4,1,6,2] => [2,6,1,4,3,5,7] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,3,6,1,2,4] => [4,2,1,6,3,5,7] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [1,2,1,1,2] => 2
[7,5,3,6,1,4,2] => [2,4,1,6,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,6,2,1,4] => [4,1,2,6,3,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,3,6,2,4,1] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,5,3,6,4,1,2] => [2,1,4,6,3,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[7,5,3,6,4,2,1] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,2,2] => 2
[7,5,4,1,2,6,3] => [3,6,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,4,1,3,2,6] => [6,2,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,5,4,1,3,6,2] => [2,6,3,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,4,1,6,2,3] => [3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,1,2] => 2
[7,5,4,1,6,3,2] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,2,2] => 2
[7,5,4,2,1,6,3] => [3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,5,4,2,6,1,3] => [3,1,6,2,4,5,7] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [1,1,1,1,1,2] => 2
[7,5,4,2,6,3,1] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,3,2] => 2
[7,5,4,3,1,6,2] => [2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [1,1,2,1,2] => 2
[7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [1,4,2] => 2
[7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,1,3] => 3
[7,5,4,6,1,3,2] => [2,3,1,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => ([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,3] => 3
[7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[7,5,6,1,2,4,3] => [3,4,2,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,5,6,1,3,2,4] => [4,2,3,1,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,5,6,1,3,4,2] => [2,4,3,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,6,1,4,2,3] => [3,2,4,1,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,6,1,4,3,2] => [2,3,4,1,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,5,6,2,1,4,3] => [3,4,1,2,6,5,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [1,3,3] => 3
[7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,5,6,2,4,1,3] => [3,1,4,2,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[7,5,6,2,4,3,1] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,5,6,3,1,4,2] => [2,4,1,3,6,5,7] => ([(1,2),(3,6),(4,5),(5,6)],7) => [1,2,1,3] => 3
[7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => ([(1,2),(3,6),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => [3,4] => 4
[7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,5,6,4,1,3,2] => [2,3,1,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [1,6] => 6
[7,6,1,2,3,4,5] => [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) => [4,3] => 3
[7,6,1,2,3,5,4] => [4,5,3,2,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,3] => 3
[7,6,1,2,4,3,5] => [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) => [3,1,3] => 3
[7,6,1,2,4,5,3] => [3,5,4,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,1,2,5,3,4] => [4,3,5,2,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,1,2,5,4,3] => [3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,1,3,2,4,5] => [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) => [3,1,3] => 3
[7,6,1,3,2,5,4] => [4,5,2,3,1,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,1,3,4,2,5] => [5,2,4,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,1,3,4,5,2] => [2,5,4,3,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,1,3,5,2,4] => [4,2,5,3,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,3,5,4,2] => [2,4,5,3,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,4,2,3,5] => [5,3,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,1,4,2,5,3] => [3,5,2,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,4,3,2,5] => [5,2,3,4,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,1,4,3,5,2] => [2,5,3,4,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,4,5,2,3] => [3,2,5,4,1,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,1,4,5,3,2] => [2,3,5,4,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,1,5,2,3,4] => [4,3,2,5,1,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,1,5,2,4,3] => [3,4,2,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,5,3,2,4] => [4,2,3,5,1,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,1,5,3,4,2] => [2,4,3,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,1,5,4,2,3] => [3,2,4,5,1,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,1,5,4,3,2] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[7,6,2,1,3,4,5] => [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) => [3,1,3] => 3
[7,6,2,1,3,5,4] => [4,5,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,2,1,4,3,5] => [5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,2,1,4,5,3] => [3,5,4,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,2,1,5,3,4] => [4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,2,1,5,4,3] => [3,4,5,1,2,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,2,3,1,5,4] => [4,5,1,3,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,4] => 4
[7,6,2,3,5,1,4] => [4,1,5,3,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,3,5,4,1] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,2,4,1,3,5] => [5,3,1,4,2,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,4,1,5,3] => [3,5,1,4,2,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,4,3,1,5] => [5,1,3,4,2,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,4,3,5,1] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,2,4,5,1,3] => [3,1,5,4,2,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,4,5,3,1] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,2,5,1,3,4] => [4,3,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,5,1,4,3] => [3,4,1,5,2,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,5,3,1,4] => [4,1,3,5,2,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,5,3,4,1] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,2,5,4,1,3] => [3,1,4,5,2,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,2,5,4,3,1] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,1,3] => 3
[7,6,3,1,2,5,4] => [4,5,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,3,1,4,2,5] => [5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,1,4,5,2] => [2,5,4,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,1,5,2,4] => [4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,1,5,4,2] => [2,4,5,1,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,3] => 3
[7,6,3,2,1,5,4] => [4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [1,1,2,3] => 3
[7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,3,2,5,1,4] => [4,1,5,2,3,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,2,5,4,1] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [1,2,4] => 4
[7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,3,4,1,5,2] => [2,5,1,4,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [2,5] => 5
[7,6,3,5,1,2,4] => [4,2,1,5,3,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,5,1,4,2] => [2,4,1,5,3,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,3,5,2,1,4] => [4,1,2,5,3,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,3,5,2,4,1] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,6,3,5,4,1,2] => [2,1,4,5,3,6,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,3,5,4,2,1] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,2,1,3] => 3
[7,6,4,1,2,5,3] => [3,5,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,1,3,2,5] => [5,2,3,1,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,1,3,5,2] => [2,5,3,1,4,6,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,1,5,2,3] => [3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,1,5,3,2] => [2,3,5,1,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,2,1,5,3] => [3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,4,2,5,1,3] => [3,1,5,2,4,6,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [1,1,1,1,3] => 3
[7,6,4,2,5,3,1] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [1,1,2,3] => 3
[7,6,4,3,1,5,2] => [2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [1,1,1,1,3] => 3
[7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [1,3,3] => 3
[7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,4,5,1,3,2] => [2,3,1,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => ([(2,3),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [1,6] => 6
[7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,4] => 4
[7,6,5,1,2,4,3] => [3,4,2,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,5,1,3,2,4] => [4,2,3,1,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,5,1,3,4,2] => [2,4,3,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,1,4,2,3] => [3,2,4,1,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,1,4,3,2] => [2,3,4,1,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,1,4] => 4
[7,6,5,2,1,4,3] => [3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [1,2,4] => 4
[7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [2,5] => 5
[7,6,5,2,4,1,3] => [3,1,4,2,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,2,4,3,1] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,3,1,4,2] => [2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7) => [1,1,1,4] => 4
[7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7) => [1,2,4] => 4
[7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => [2,5] => 5
[7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [1,6] => 6
[7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [2,5] => 5
[7,6,5,4,1,3,2] => [2,3,1,4,5,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => ([(4,6),(5,6)],7) => [1,1,5] => 5
[7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [1,6] => 6
[7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => ([(5,6)],7) => [1,6] => 6
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => ([],7) => [7] => 7
[6,7,8,3,4,5,2,1] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[6,7,5,4,3,8,2,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[7,5,6,4,3,8,2,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[5,6,7,4,3,8,2,1] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,6,4,5,3,8,2,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[7,4,5,6,3,8,2,1] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,6,5,3,4,8,2,1] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[7,6,3,4,5,8,2,1] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[5,6,4,3,7,8,2,1] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[6,4,5,3,7,8,2,1] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[5,6,7,8,3,2,4,1] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[6,7,8,5,2,3,4,1] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[5,6,7,8,2,3,4,1] => [1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,7,8,2,3,4,5,1] => [1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[8,5,6,4,3,2,7,1] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[8,6,4,5,3,2,7,1] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[8,6,5,3,4,2,7,1] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[8,6,3,4,5,2,7,1] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[8,6,5,4,2,3,7,1] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[8,6,5,2,3,4,7,1] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[8,5,4,3,2,6,7,1] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[8,5,3,4,2,6,7,1] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[8,5,4,2,3,6,7,1] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[5,4,6,7,3,2,8,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[7,4,3,5,6,2,8,1] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[5,6,4,3,7,2,8,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[5,3,4,6,7,2,8,1] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => 2
[4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[7,6,5,3,2,4,8,1] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,6,4,2,3,5,8,1] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,4,2,3,5,6,8,1] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,3,2,4,5,6,8,1] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[5,6,4,3,2,7,8,1] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[6,5,3,2,4,7,8,1] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,2,3,4,5,7,8,1] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,2,3,4,6,7,8,1] => [1,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => ([(0,7),(1,6),(2,5),(3,4)],8) => [4,4] => 4
[7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,8,4,3,5,6,1,2] => [2,1,6,5,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[5,6,4,7,3,8,1,2] => [2,1,8,3,7,4,6,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,7,5,3,4,8,1,2] => [2,1,8,4,3,5,7,6] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,6,4,3,5,8,1,2] => [2,1,8,5,3,4,6,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,4,5,3,6,8,1,2] => [2,1,8,6,3,5,4,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,3,4,6,8,1,2] => [2,1,8,6,4,3,5,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => 2
[5,4,6,3,7,8,1,2] => [2,1,8,7,3,6,4,5] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,6,7,8,4,2,1,3] => [3,1,2,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[6,7,4,5,8,2,1,3] => [3,1,2,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[5,4,6,7,8,2,1,3] => [3,1,2,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[8,5,6,7,4,1,2,3] => [3,2,1,4,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[5,6,7,8,4,1,2,3] => [3,2,1,4,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[8,7,4,5,6,1,2,3] => [3,2,1,6,5,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => 4
[8,4,5,6,7,1,2,3] => [3,2,1,7,6,5,4,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,7,4,5,8,1,2,3] => [3,2,1,8,5,4,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,2] => 2
[6,5,4,7,8,1,2,3] => [3,2,1,8,7,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => 2
[6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,6,5,8,3,1,2,4] => [4,2,1,3,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,8,5,6,2,1,3,4] => [4,3,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[7,6,8,5,1,2,3,4] => [4,3,2,1,5,8,6,7] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => ([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[8,5,6,7,1,2,3,4] => [4,3,2,1,7,6,5,8] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,7,8,3,2,1,4,5] => [5,4,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,6,8,2,1,3,4,5] => [5,4,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,7,4,5,3,2,1,6] => [6,1,2,3,5,4,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[8,7,5,3,4,2,1,6] => [6,1,2,4,3,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[7,8,4,5,2,3,1,6] => [6,1,3,2,5,4,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,8,5,3,2,4,1,6] => [6,1,4,2,3,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,8,5,3,1,2,4,6] => [6,4,2,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,4,3,2,1,5,6] => [6,5,1,2,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => 2
[7,8,3,2,4,1,5,6] => [6,5,1,4,2,3,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[8,7,3,2,1,4,5,6] => [6,5,4,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,5,4,6,3,2,1,7] => [7,1,2,3,6,4,5,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,5,4,3,6,2,1,7] => [7,1,2,6,3,4,5,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[8,4,5,3,6,2,1,7] => [7,1,2,6,3,5,4,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,5,3,4,6,2,1,7] => [7,1,2,6,4,3,5,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,6,3,4,2,5,1,7] => [7,1,5,2,4,3,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,6,4,2,3,5,1,7] => [7,1,5,3,2,4,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,6,3,2,4,5,1,7] => [7,1,5,4,2,3,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[8,4,2,3,5,6,1,7] => [7,1,6,5,3,2,4,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[8,5,6,3,4,1,2,7] => [7,2,1,4,3,6,5,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => 2
[8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,6,5,3,2,1,4,7] => [7,4,1,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[8,6,5,2,3,1,4,7] => [7,4,1,3,2,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,6,5,2,1,3,4,7] => [7,4,3,1,2,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[8,5,6,2,1,3,4,7] => [7,4,3,1,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[8,6,4,3,2,1,5,7] => [7,5,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,6,4,2,3,1,5,7] => [7,5,1,3,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,6,4,1,2,3,5,7] => [7,5,3,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[8,6,2,3,1,4,5,7] => [7,5,4,1,3,2,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[8,6,2,1,3,4,5,7] => [7,5,4,3,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[8,4,5,3,2,1,6,7] => [7,6,1,2,3,5,4,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,3,4,5,2,1,6,7] => [7,6,1,2,5,4,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,5,3,2,4,1,6,7] => [7,6,1,4,2,3,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[8,5,2,3,4,1,6,7] => [7,6,1,4,3,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,5,2,1,3,4,6,7] => [7,6,4,3,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,4,3,1,2,5,6,7] => [7,6,5,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,3,4,1,2,5,6,7] => [7,6,5,2,1,4,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,4,1,2,3,5,6,7] => [7,6,5,3,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,6,1] => 1
[6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[6,4,5,7,3,2,1,8] => [8,1,2,3,7,5,4,6] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[7,6,3,4,5,2,1,8] => [8,1,2,5,4,3,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[7,4,3,5,6,2,1,8] => [8,1,2,6,5,3,4,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,4,3,5,7,2,1,8] => [8,1,2,7,5,3,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,3,4,5,7,2,1,8] => [8,1,2,7,5,4,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[5,6,4,7,2,3,1,8] => [8,1,3,2,7,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,4,5,7,2,3,1,8] => [8,1,3,2,7,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,4,2,3,5,1,8] => [8,1,5,3,2,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[6,7,4,2,3,5,1,8] => [8,1,5,3,2,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,3,2,4,5,1,8] => [8,1,5,4,2,3,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,4,3,5,2,6,1,8] => [8,1,6,2,5,3,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,4,3,2,5,6,1,8] => [8,1,6,5,2,3,4,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,4,2,7,1,8] => [8,1,7,2,4,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,4,3,5,2,7,1,8] => [8,1,7,2,5,3,4,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,2,3,7,1,8] => [8,1,7,3,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,4,5,2,3,7,1,8] => [8,1,7,3,2,5,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,3,2,5,7,1,8] => [8,1,7,5,2,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,4,2,5,7,1,8] => [8,1,7,5,2,4,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,3,5,7,1,8] => [8,1,7,5,3,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,4,5,7,1,8] => [8,1,7,5,4,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,3,4,5,7,1,8] => [8,1,7,5,4,3,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,4,5,2,6,7,1,8] => [8,1,7,6,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[5,4,2,3,6,7,1,8] => [8,1,7,6,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,3,2,4,6,7,1,8] => [8,1,7,6,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,2,3,4,6,7,1,8] => [8,1,7,6,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[4,2,3,5,6,7,1,8] => [8,1,7,6,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => 1
[7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[5,6,4,7,3,1,2,8] => [8,2,1,3,7,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,7,5,3,4,1,2,8] => [8,2,1,4,3,5,7,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,5,7,4,2,1,3,8] => [8,3,1,2,4,7,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[6,5,4,7,2,1,3,8] => [8,3,1,2,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,6,5,2,3,1,4,8] => [8,4,1,3,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[6,7,5,2,3,1,4,8] => [8,4,1,3,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,5,6,2,3,1,4,8] => [8,4,1,3,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,5,3,1,2,4,8] => [8,4,2,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[7,6,3,4,2,1,5,8] => [8,5,1,2,4,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,6,3,4,1,2,5,8] => [8,5,2,1,4,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,6,4,2,1,3,5,8] => [8,5,3,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,4,1,2,3,5,8] => [8,5,3,2,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,6,3,2,1,4,5,8] => [8,5,4,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,6,3,1,2,4,5,8] => [8,5,4,2,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[7,4,5,3,2,1,6,8] => [8,6,1,2,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,4,3,5,2,1,6,8] => [8,6,1,2,5,3,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,3,4,5,2,1,6,8] => [8,6,1,2,5,4,3,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,5,4,2,3,1,6,8] => [8,6,1,3,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,2,3,4,1,6,8] => [8,6,1,4,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,4,3,2,5,1,6,8] => [8,6,1,5,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,4,2,5,1,6,8] => [8,6,1,5,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,4,5,3,1,2,6,8] => [8,6,2,1,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,5,3,2,1,4,6,8] => [8,6,4,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,5,2,3,1,4,6,8] => [8,6,4,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,1,3,4,6,8] => [8,6,4,3,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[7,3,4,2,1,5,6,8] => [8,6,5,1,2,4,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,4,2,3,1,5,6,8] => [8,6,5,1,3,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,2,3,4,1,5,6,8] => [8,6,5,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[7,4,3,1,2,5,6,8] => [8,6,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[7,3,2,1,4,5,6,8] => [8,6,5,4,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[7,2,3,1,4,5,6,8] => [8,6,5,4,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => 1
[5,6,4,3,2,1,7,8] => [8,7,1,2,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[6,5,3,4,2,1,7,8] => [8,7,1,2,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[6,4,3,5,2,1,7,8] => [8,7,1,2,5,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[6,3,4,5,2,1,7,8] => [8,7,1,2,5,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[4,3,5,6,2,1,7,8] => [8,7,1,2,6,5,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[6,5,3,2,4,1,7,8] => [8,7,1,4,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[6,4,3,2,5,1,7,8] => [8,7,1,5,2,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[6,3,2,4,5,1,7,8] => [8,7,1,5,4,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[4,3,2,5,6,1,7,8] => [8,7,1,6,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[3,4,2,5,6,1,7,8] => [8,7,1,6,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[6,5,3,1,2,4,7,8] => [8,7,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[6,3,4,2,1,5,7,8] => [8,7,5,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[6,2,3,4,1,5,7,8] => [8,7,5,1,4,3,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,3,2,1,4,5,7,8] => [8,7,5,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[3,4,5,2,1,6,7,8] => [8,7,6,1,2,5,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1
[3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1
[3,7,8,6,5,4,2,1] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[3,6,7,8,5,4,2,1] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[4,3,8,7,6,5,2,1] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => 3
[3,4,8,7,6,5,2,1] => [1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[3,4,7,8,6,5,2,1] => [1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[5,4,3,8,7,6,2,1] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,3] => 3
[3,4,5,8,7,6,2,1] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,5,4,3,8,7,2,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => 3
[4,3,6,5,8,7,2,1] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,3] => 3
[3,7,6,5,4,8,2,1] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[3,4,7,6,5,8,2,1] => [1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[3,6,5,4,7,8,2,1] => [1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[2,6,8,7,5,4,3,1] => [1,3,4,5,7,8,6,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[2,7,6,8,5,4,3,1] => [1,3,4,5,8,6,7,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[2,5,8,7,6,4,3,1] => [1,3,4,6,7,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[2,7,6,5,8,4,3,1] => [1,3,4,8,5,6,7,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[2,5,6,7,8,4,3,1] => [1,3,4,8,7,6,5,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[2,4,8,7,6,5,3,1] => [1,3,5,6,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,4,7,8,6,5,3,1] => [1,3,5,6,8,7,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,4,6,7,8,5,3,1] => [1,3,5,8,7,6,4,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[2,4,5,8,7,6,3,1] => [1,3,6,7,8,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,4,5,7,8,6,3,1] => [1,3,6,8,7,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,4,5,6,8,7,3,1] => [1,3,7,8,6,5,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,7,6,5,4,8,3,1] => [1,3,8,4,5,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,4,7,6,5,8,3,1] => [1,3,8,5,6,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,4,6,7,5,8,3,1] => [1,3,8,5,7,6,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,6,5,4,7,8,3,1] => [1,3,8,7,4,5,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,5,6,4,7,8,3,1] => [1,3,8,7,4,6,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,4,6,5,7,8,3,1] => [1,3,8,7,5,6,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,4,5,6,7,8,3,1] => [1,3,8,7,6,5,4,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[2,3,7,6,8,5,4,1] => [1,4,5,8,6,7,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,3,6,7,8,5,4,1] => [1,4,5,8,7,6,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,3,5,8,7,6,4,1] => [1,4,6,7,8,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[2,3,5,7,8,6,4,1] => [1,4,6,8,7,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,3,5,6,8,7,4,1] => [1,4,7,8,6,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,3,5,7,6,8,4,1] => [1,4,8,6,7,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,3,5,6,7,8,4,1] => [1,4,8,7,6,5,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[4,3,2,8,7,6,5,1] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => 2
[3,4,2,8,7,6,5,1] => [1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[2,4,3,8,7,6,5,1] => [1,5,6,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[3,2,4,8,7,6,5,1] => [1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,3,4,8,7,6,5,1] => [1,5,6,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[2,3,4,6,7,8,5,1] => [1,5,8,7,6,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,4,3,2,8,7,6,1] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => 2
[5,4,3,2,7,8,6,1] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[2,5,4,3,8,7,6,1] => [1,6,7,8,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[2,5,4,3,7,8,6,1] => [1,6,8,7,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,4,5,3,8,7,6,1] => [1,6,7,8,3,5,4,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,4,5,3,7,8,6,1] => [1,6,8,7,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,3,5,4,8,7,6,1] => [1,6,7,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[4,3,2,5,8,7,6,1] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[4,3,2,5,7,8,6,1] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[3,4,2,5,7,8,6,1] => [1,6,8,7,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,4,3,5,8,7,6,1] => [1,6,7,8,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,6,5,4,3,8,7,1] => [1,7,8,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[5,4,3,2,6,8,7,1] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,5,4,3,6,8,7,1] => [1,7,8,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[5,7,6,4,3,2,8,1] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[4,7,6,5,3,2,8,1] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[4,6,5,7,3,2,8,1] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[3,7,6,5,4,2,8,1] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[3,5,6,7,4,2,8,1] => [1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[3,4,7,6,5,2,8,1] => [1,8,2,5,6,7,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,4,6,7,5,2,8,1] => [1,8,2,5,7,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,4,5,7,6,2,8,1] => [1,8,2,6,7,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[3,6,5,4,7,2,8,1] => [1,8,2,7,4,5,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,5,6,4,7,2,8,1] => [1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,5,4,6,7,2,8,1] => [1,8,2,7,6,4,5,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,5,7,6,4,3,8,1] => [1,8,3,4,6,7,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,5,6,7,4,3,8,1] => [1,8,3,4,7,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,4,7,6,5,3,8,1] => [1,8,3,5,6,7,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[2,4,6,7,5,3,8,1] => [1,8,3,5,7,6,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,4,5,7,6,3,8,1] => [1,8,3,6,7,5,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,6,5,4,7,3,8,1] => [1,8,3,7,4,5,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[2,5,6,4,7,3,8,1] => [1,8,3,7,4,6,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,4,6,5,7,3,8,1] => [1,8,3,7,5,6,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,5,4,6,7,3,8,1] => [1,8,3,7,6,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,4,5,6,7,3,8,1] => [1,8,3,7,6,5,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[2,3,7,6,5,4,8,1] => [1,8,4,5,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[2,3,5,6,7,4,8,1] => [1,8,4,7,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,3,2,7,6,5,8,1] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[4,3,2,6,7,5,8,1] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[3,4,2,6,7,5,8,1] => [1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[5,4,3,2,7,6,8,1] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,5,4,3,7,6,8,1] => [1,8,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[4,3,2,5,7,6,8,1] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[4,6,5,3,2,7,8,1] => [1,8,7,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[3,6,5,4,2,7,8,1] => [1,8,7,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[3,4,6,5,2,7,8,1] => [1,8,7,2,5,6,4,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[3,5,4,6,2,7,8,1] => [1,8,7,2,6,4,5,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,6,5,4,3,7,8,1] => [1,8,7,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[2,5,6,4,3,7,8,1] => [1,8,7,3,4,6,5,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,4,5,6,3,7,8,1] => [1,8,7,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[3,2,6,5,4,7,8,1] => [1,8,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[1,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => [1,6,1] => 1
[1,7,8,6,5,4,3,2] => [2,3,4,5,6,8,7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[1,6,7,8,5,4,3,2] => [2,3,4,5,8,7,6,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[1,5,8,7,6,4,3,2] => [2,3,4,6,7,8,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,5,7,8,6,4,3,2] => [2,3,4,6,8,7,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,7,6,5,8,4,3,2] => [2,3,4,8,5,6,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,6,7,5,8,4,3,2] => [2,3,4,8,5,7,6,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,5,7,6,8,4,3,2] => [2,3,4,8,6,7,5,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,6,5,7,8,4,3,2] => [2,3,4,8,7,5,6,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,5,6,7,8,4,3,2] => [2,3,4,8,7,6,5,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[1,4,8,7,6,5,3,2] => [2,3,5,6,7,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[1,4,7,8,6,5,3,2] => [2,3,5,6,8,7,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,4,6,8,7,5,3,2] => [2,3,5,7,8,6,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,4,7,6,8,5,3,2] => [2,3,5,8,6,7,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,4,6,7,8,5,3,2] => [2,3,5,8,7,6,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,4,5,8,7,6,3,2] => [2,3,6,7,8,5,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,7,6,5,4,8,3,2] => [2,3,8,4,5,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[1,5,7,6,4,8,3,2] => [2,3,8,4,6,7,5,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,6,5,7,4,8,3,2] => [2,3,8,4,7,5,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,4,7,6,5,8,3,2] => [2,3,8,5,6,7,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,4,6,7,5,8,3,2] => [2,3,8,5,7,6,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[1,4,5,7,6,8,3,2] => [2,3,8,6,7,5,4,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[1,6,5,4,7,8,3,2] => [2,3,8,7,4,5,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,4,5,6,7,8,3,2] => [2,3,8,7,6,5,4,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,3,7,8,6,5,4,2] => [2,4,5,6,8,7,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,3,6,8,7,5,4,2] => [2,4,5,7,8,6,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,5,8,7,6,4,2] => [2,4,6,7,8,5,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,3,5,7,8,6,4,2] => [2,4,6,8,7,5,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,5,6,8,7,4,2] => [2,4,7,8,6,5,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,6,7,5,8,4,2] => [2,4,8,5,7,6,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,5,7,8,4,2] => [2,4,8,7,5,6,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,5,6,7,8,4,2] => [2,4,8,7,6,5,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,4,3,8,7,6,5,2] => [2,5,6,7,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,3,6,8,7,5,2] => [2,5,7,8,6,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,3,7,6,8,5,2] => [2,5,8,6,7,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,4,8,7,6,5,2] => [2,5,6,7,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,3,4,7,6,8,5,2] => [2,5,8,6,7,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,4,6,7,8,5,2] => [2,5,8,7,6,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,3,4,5,8,7,6,2] => [2,6,7,8,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[1,3,4,5,7,8,6,2] => [2,6,8,7,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,6,5,4,3,8,7,2] => [2,7,8,3,4,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,3,6,5,8,7,2] => [2,7,8,5,6,3,4,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,6,7,5,4,3,8,2] => [2,8,3,4,5,7,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,7,6,5,3,8,2] => [2,8,3,5,6,7,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,6,7,5,3,8,2] => [2,8,3,5,7,6,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,7,6,3,8,2] => [2,8,3,6,7,5,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,5,4,7,3,8,2] => [2,8,3,7,4,5,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,5,6,4,7,3,8,2] => [2,8,3,7,4,6,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,5,7,3,8,2] => [2,8,3,7,5,6,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,5,6,7,3,8,2] => [2,8,3,7,6,5,4,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,3,7,6,5,4,8,2] => [2,8,4,5,6,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,3,5,6,7,4,8,2] => [2,8,4,7,6,5,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,3,4,7,6,5,8,2] => [2,8,5,6,7,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[1,3,4,6,7,5,8,2] => [2,8,5,7,6,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,6,5,4,3,7,8,2] => [2,8,7,3,4,5,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,5,6,4,3,7,8,2] => [2,8,7,3,4,6,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,3,6,5,4,7,8,2] => [2,8,7,4,5,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[1,3,5,6,4,7,8,2] => [2,8,7,4,6,5,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,5,4,3,6,7,8,2] => [2,8,7,6,3,4,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[1,3,4,5,6,7,8,2] => [2,8,7,6,5,4,3,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => 1
[2,1,8,7,6,5,4,3] => [3,4,5,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,5,1] => 1
[2,1,6,7,8,5,4,3] => [3,4,5,8,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[2,1,5,8,7,6,4,3] => [3,4,6,7,8,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,1,6,5,8,7,4,3] => [3,4,7,8,5,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,1,7,6,5,8,4,3] => [3,4,8,5,6,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,1,6,7,5,8,4,3] => [3,4,8,5,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,1,4,8,7,6,5,3] => [3,5,6,7,8,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[2,1,4,7,8,6,5,3] => [3,5,6,8,7,4,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[2,1,4,5,8,7,6,3] => [3,6,7,8,5,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[2,1,4,7,6,5,8,3] => [3,8,5,6,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[2,1,6,5,4,7,8,3] => [3,8,7,4,5,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[2,1,5,6,4,7,8,3] => [3,8,7,4,6,5,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[1,2,7,8,6,5,4,3] => [3,4,5,6,8,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,2,6,8,7,5,4,3] => [3,4,5,7,8,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,2,7,6,8,5,4,3] => [3,4,5,8,6,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,2,6,7,8,5,4,3] => [3,4,5,8,7,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,2,5,8,7,6,4,3] => [3,4,6,7,8,5,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,2,7,6,5,8,4,3] => [3,4,8,5,6,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,2,6,5,7,8,4,3] => [3,4,8,7,5,6,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,2,5,6,7,8,4,3] => [3,4,8,7,6,5,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,2,4,8,7,6,5,3] => [3,5,6,7,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[1,2,4,7,8,6,5,3] => [3,5,6,8,7,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,2,4,6,7,8,5,3] => [3,5,8,7,6,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,4,5,7,8,6,3] => [3,6,8,7,5,4,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,2,4,5,6,8,7,3] => [3,7,8,6,5,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,7,6,5,4,8,3] => [3,8,4,5,6,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[1,2,5,6,7,4,8,3] => [3,8,4,7,6,5,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,4,6,7,5,8,3] => [3,8,5,7,6,4,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,2,4,5,7,6,8,3] => [3,8,6,7,5,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,4,6,5,7,8,3] => [3,8,7,5,6,4,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,5,4,6,7,8,3] => [3,8,7,6,4,5,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[3,2,1,8,7,6,5,4] => [4,5,6,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,4,1] => 1
[1,3,2,8,7,6,5,4] => [4,5,6,7,8,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,3,2,7,6,8,5,4] => [4,5,8,6,7,2,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,1,3,8,7,6,5,4] => [4,5,6,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[2,1,3,7,8,6,5,4] => [4,5,6,8,7,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,1,3,6,8,7,5,4] => [4,5,7,8,6,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,2,3,8,7,6,5,4] => [4,5,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,2,3,7,8,6,5,4] => [4,5,6,8,7,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,3,6,7,8,5,4] => [4,5,8,7,6,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,5,6,7,8,4] => [4,8,7,6,5,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => [1,6,1] => 1
[4,3,2,1,7,8,6,5] => [5,6,8,7,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,3,2,1,6,7,8,5] => [5,8,7,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[3,4,2,1,8,7,6,5] => [5,6,7,8,1,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[3,4,2,1,7,8,6,5] => [5,6,8,7,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[2,4,3,1,6,8,7,5] => [5,7,8,6,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[2,4,3,1,7,6,8,5] => [5,8,6,7,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,2,4,1,6,8,7,5] => [5,7,8,6,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,2,4,1,7,6,8,5] => [5,8,6,7,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[2,3,4,1,8,7,6,5] => [5,6,7,8,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[2,3,4,1,6,7,8,5] => [5,8,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,4,3,2,8,7,6,5] => [5,6,7,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,3,4,2,8,7,6,5] => [5,6,7,8,2,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,3,4,2,6,7,8,5] => [5,8,7,6,2,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,1,4,3,8,7,6,5] => [5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,2,3,1] => 1
[2,1,4,3,7,8,6,5] => [5,6,8,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[2,1,4,3,6,8,7,5] => [5,7,8,6,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[2,1,4,3,7,6,8,5] => [5,8,6,7,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[1,2,4,3,8,7,6,5] => [5,6,7,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[3,2,1,4,8,7,6,5] => [5,6,7,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[3,2,1,4,7,8,6,5] => [5,6,8,7,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[2,3,1,4,8,7,6,5] => [5,6,7,8,4,1,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,3,1,4,6,7,8,5] => [5,8,7,6,4,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,3,2,4,8,7,6,5] => [5,6,7,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[2,1,3,4,8,7,6,5] => [5,6,7,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[2,1,3,4,7,8,6,5] => [5,6,8,7,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,4,8,7,6,5] => [5,6,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1
[1,2,3,4,7,8,6,5] => [5,6,8,7,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[5,4,3,2,1,8,7,6] => [6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,4,1] => 1
[1,5,4,3,2,8,7,6] => [6,7,8,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,5,4,3,2,7,8,6] => [6,8,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,4,5,3,2,8,7,6] => [6,7,8,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,3,4,5,2,7,8,6] => [6,8,7,2,5,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,5,4,3,8,7,6] => [6,7,8,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,2,4,5,3,7,8,6] => [6,8,7,3,5,4,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,3,2,1,5,8,7,6] => [6,7,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[4,3,2,1,5,7,8,6] => [6,8,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[3,4,2,1,5,8,7,6] => [6,7,8,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[2,3,4,1,5,7,8,6] => [6,8,7,5,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,3,2,5,8,7,6] => [6,7,8,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[3,2,1,4,5,8,7,6] => [6,7,8,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[2,3,1,4,5,7,8,6] => [6,8,7,5,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,4,5,8,7,6] => [6,7,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,4,5,7,8,6] => [6,8,7,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[6,5,4,3,2,1,8,7] => [7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,5,1] => 1
[4,5,6,3,2,1,8,7] => [7,8,1,2,3,6,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[3,6,5,4,2,1,8,7] => [7,8,1,2,4,5,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[3,5,6,4,2,1,8,7] => [7,8,1,2,4,6,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[4,3,6,5,2,1,8,7] => [7,8,1,2,5,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[5,4,3,6,2,1,8,7] => [7,8,1,2,6,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[4,5,3,6,2,1,8,7] => [7,8,1,2,6,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,6,5,4,3,1,8,7] => [7,8,1,3,4,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[2,3,6,5,4,1,8,7] => [7,8,1,4,5,6,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[2,3,5,6,4,1,8,7] => [7,8,1,4,6,5,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[5,4,3,2,6,1,8,7] => [7,8,1,6,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[4,5,3,2,6,1,8,7] => [7,8,1,6,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[2,5,4,3,6,1,8,7] => [7,8,1,6,3,4,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[4,3,2,5,6,1,8,7] => [7,8,1,6,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[3,4,2,5,6,1,8,7] => [7,8,1,6,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[1,6,5,4,3,2,8,7] => [7,8,2,3,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,5,6,4,3,2,8,7] => [7,8,2,3,4,6,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,5,4,6,3,2,8,7] => [7,8,2,3,6,4,5,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,1,6,5,4,3,8,7] => [7,8,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,2,3,1] => 1
[2,1,5,6,4,3,8,7] => [7,8,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[2,1,4,6,5,3,8,7] => [7,8,3,5,6,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[2,1,5,4,6,3,8,7] => [7,8,3,6,4,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[1,2,6,5,4,3,8,7] => [7,8,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,5,6,4,3,8,7] => [7,8,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,3,2,1,6,5,8,7] => [7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,2,3,1] => 1
[3,4,2,1,6,5,8,7] => [7,8,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[2,4,3,1,6,5,8,7] => [7,8,5,6,1,3,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[3,2,4,1,6,5,8,7] => [7,8,5,6,1,4,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [3,4,1] => 1
[1,2,3,4,6,5,8,7] => [7,8,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[5,4,3,2,1,6,8,7] => [7,8,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[3,5,4,2,1,6,8,7] => [7,8,6,1,2,4,5,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,5,4,3,2,6,8,7] => [7,8,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,4,5,3,2,6,8,7] => [7,8,6,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,5,4,6,8,7] => [7,8,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[4,3,2,1,5,6,8,7] => [7,8,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[3,4,2,1,5,6,8,7] => [7,8,6,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,4,3,5,6,8,7] => [7,8,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,3,2,4,5,6,8,7] => [7,8,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,4,5,6,8,7] => [7,8,6,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[4,7,6,5,3,2,1,8] => [8,1,2,3,5,6,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[4,6,7,5,3,2,1,8] => [8,1,2,3,5,7,6,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[4,5,7,6,3,2,1,8] => [8,1,2,3,6,7,5,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[4,6,5,7,3,2,1,8] => [8,1,2,3,7,5,6,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[3,7,6,5,4,2,1,8] => [8,1,2,4,5,6,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[3,5,7,6,4,2,1,8] => [8,1,2,4,6,7,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,5,6,7,4,2,1,8] => [8,1,2,4,7,6,5,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,4,7,6,5,2,1,8] => [8,1,2,5,6,7,4,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,4,5,7,6,2,1,8] => [8,1,2,6,7,5,4,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[4,6,5,3,7,2,1,8] => [8,1,2,7,3,5,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,6,5,4,7,2,1,8] => [8,1,2,7,4,5,6,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,5,6,4,7,2,1,8] => [8,1,2,7,4,6,5,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[3,5,4,6,7,2,1,8] => [8,1,2,7,6,4,5,3] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[2,6,7,5,4,3,1,8] => [8,1,3,4,5,7,6,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,4,7,6,5,3,1,8] => [8,1,3,5,6,7,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,4,6,7,5,3,1,8] => [8,1,3,5,7,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,5,7,6,3,1,8] => [8,1,3,6,7,5,4,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,6,5,4,7,3,1,8] => [8,1,3,7,4,5,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,6,4,7,3,1,8] => [8,1,3,7,4,6,5,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,5,7,3,1,8] => [8,1,3,7,5,6,4,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,5,4,6,7,3,1,8] => [8,1,3,7,6,4,5,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,5,6,7,3,1,8] => [8,1,3,7,6,5,4,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,2,7,6,5,4,1,8] => [8,1,4,5,6,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,2,5,7,6,4,1,8] => [8,1,4,6,7,5,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,7,6,5,4,1,8] => [8,1,4,5,6,7,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[2,3,6,7,5,4,1,8] => [8,1,4,5,7,6,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,3,5,6,7,4,1,8] => [8,1,4,7,6,5,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[2,3,4,7,6,5,1,8] => [8,1,5,6,7,4,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[5,4,3,2,7,6,1,8] => [8,1,6,7,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,5,4,2,7,6,1,8] => [8,1,6,7,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,5,2,7,6,1,8] => [8,1,6,7,2,5,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,5,4,7,6,1,8] => [8,1,6,7,4,5,2,3] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[4,6,5,3,2,7,1,8] => [8,1,7,2,3,5,6,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,6,5,4,2,7,1,8] => [8,1,7,2,4,5,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,6,4,2,7,1,8] => [8,1,7,2,4,6,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,4,6,2,7,1,8] => [8,1,7,2,6,4,5,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,6,5,4,3,7,1,8] => [8,1,7,3,4,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[2,4,6,5,3,7,1,8] => [8,1,7,3,5,6,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,5,4,6,3,7,1,8] => [8,1,7,3,6,4,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,3,5,6,4,7,1,8] => [8,1,7,4,6,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,5,4,2,6,7,1,8] => [8,1,7,6,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,5,4,3,6,7,1,8] => [8,1,7,6,3,4,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[2,4,5,3,6,7,1,8] => [8,1,7,6,3,5,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,6,7,5,4,3,2,8] => [8,2,3,4,5,7,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,5,6,7,4,3,2,8] => [8,2,3,4,7,6,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,4,7,6,5,3,2,8] => [8,2,3,5,6,7,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,4,6,7,5,3,2,8] => [8,2,3,5,7,6,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[1,6,5,4,7,3,2,8] => [8,2,3,7,4,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,4,6,5,7,3,2,8] => [8,2,3,7,5,6,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,5,4,6,7,3,2,8] => [8,2,3,7,6,4,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,4,5,6,7,3,2,8] => [8,2,3,7,6,5,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,3,7,6,5,4,2,8] => [8,2,4,5,6,7,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[1,3,6,7,5,4,2,8] => [8,2,4,5,7,6,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,3,5,6,7,4,2,8] => [8,2,4,7,6,5,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,4,7,6,5,2,8] => [8,2,5,6,7,4,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[1,3,4,6,7,5,2,8] => [8,2,5,7,6,4,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,3,4,5,7,6,2,8] => [8,2,6,7,5,4,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,6,5,4,3,7,2,8] => [8,2,7,3,4,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[1,5,6,4,3,7,2,8] => [8,2,7,3,4,6,5,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,4,5,6,3,7,2,8] => [8,2,7,3,6,5,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,6,5,4,7,2,8] => [8,2,7,4,5,6,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[1,3,5,6,4,7,2,8] => [8,2,7,4,6,5,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,3,4,6,5,7,2,8] => [8,2,7,5,6,4,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,5,4,3,6,7,2,8] => [8,2,7,6,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[1,4,5,3,6,7,2,8] => [8,2,7,6,3,5,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,3,5,4,6,7,2,8] => [8,2,7,6,4,5,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,1,7,6,5,4,3,8] => [8,3,4,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[2,1,6,7,5,4,3,8] => [8,3,4,5,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,1,5,7,6,4,3,8] => [8,3,4,6,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,2,7,6,5,4,3,8] => [8,3,4,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,2,6,7,5,4,3,8] => [8,3,4,5,7,6,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,5,6,7,4,3,8] => [8,3,4,7,6,5,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,4,5,6,7,3,8] => [8,3,7,6,5,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[3,2,1,7,6,5,4,8] => [8,4,5,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[2,3,1,5,6,7,4,8] => [8,4,7,6,5,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,3,2,7,6,5,4,8] => [8,4,5,6,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,3,2,6,7,5,4,8] => [8,4,5,7,6,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,7,6,5,4,8] => [8,4,5,6,7,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1
[4,3,2,1,7,6,5,8] => [8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,2,3,1] => 1
[4,3,2,1,6,7,5,8] => [8,5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,3,4,1,6,7,5,8] => [8,5,7,6,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,3,4,2,6,7,5,8] => [8,5,7,6,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[3,2,1,4,7,6,5,8] => [8,5,6,7,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,2,3,4,7,6,5,8] => [8,5,6,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,4,6,7,5,8] => [8,5,7,6,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[5,4,3,2,1,7,6,8] => [8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,4,1] => 1
[4,3,5,2,1,7,6,8] => [8,6,7,1,2,5,3,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,5,4,3,2,7,6,8] => [8,6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,4,5,3,2,7,6,8] => [8,6,7,2,3,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,5,4,7,6,8] => [8,6,7,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[4,3,2,1,5,7,6,8] => [8,6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,4,3,5,7,6,8] => [8,6,7,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[2,1,3,4,5,7,6,8] => [8,6,7,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,4,5,7,6,8] => [8,6,7,5,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[3,6,5,4,2,1,7,8] => [8,7,1,2,4,5,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[3,5,6,4,2,1,7,8] => [8,7,1,2,4,6,5,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[2,6,5,4,3,1,7,8] => [8,7,1,3,4,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[2,4,5,6,3,1,7,8] => [8,7,1,3,6,5,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,5,6,4,1,7,8] => [8,7,1,4,6,5,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[2,3,4,6,5,1,7,8] => [8,7,1,5,6,4,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,4,5,3,6,1,7,8] => [8,7,1,6,3,5,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[2,3,5,4,6,1,7,8] => [8,7,1,6,4,5,3,2] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,6,5,4,3,2,7,8] => [8,7,2,3,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,4,5,6,3,2,7,8] => [8,7,2,3,6,5,4,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,1,6,5,4,3,7,8] => [8,7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[2,1,5,6,4,3,7,8] => [8,7,3,4,6,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1
[1,2,5,6,4,3,7,8] => [8,7,3,4,6,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[3,2,1,6,5,4,7,8] => [8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,4,1] => 1
[1,2,3,6,5,4,7,8] => [8,7,4,5,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,5,6,4,7,8] => [8,7,4,6,5,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[4,3,2,1,6,5,7,8] => [8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[3,4,2,1,6,5,7,8] => [8,7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,3,2,4,6,5,7,8] => [8,7,5,6,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[2,1,3,4,6,5,7,8] => [8,7,5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,4,6,5,7,8] => [8,7,5,6,4,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[1,5,4,3,2,6,7,8] => [8,7,6,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1
[1,2,5,4,3,6,7,8] => [8,7,6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,3,2,5,4,6,7,8] => [8,7,6,4,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[2,1,3,5,4,6,7,8] => [8,7,6,4,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[1,4,3,2,5,6,7,8] => [8,7,6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,3,4,2,5,6,7,8] => [8,7,6,5,2,4,3,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[2,1,4,3,5,6,7,8] => [8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,2,1] => 1
[1,2,4,3,5,6,7,8] => [8,7,6,5,3,4,2,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[1,3,2,4,5,6,7,8] => [8,7,6,5,4,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1
[1,2,3,4,8,6,7,5] => [5,7,6,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[1,2,3,8,5,6,7,4] => [4,7,6,5,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,3,8,6,7,5,4] => [4,5,7,6,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,4,3,8,6,7,5] => [5,7,6,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,4,8,5,6,7,3] => [3,7,6,5,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,4,8,6,7,5,3] => [3,5,7,6,8,4,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,2,6,4,5,3,7,8] => [8,7,3,5,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[1,2,7,4,5,6,3,8] => [8,3,6,5,4,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,8,4,5,6,7,3] => [3,7,6,5,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,2,8,4,6,7,5,3] => [3,5,7,6,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[1,2,8,4,7,6,5,3] => [3,5,6,7,4,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,2,8,5,4,6,7,3] => [3,7,6,4,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,2,8,5,6,7,4,3] => [3,4,7,6,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,2,8,5,7,6,4,3] => [3,4,6,7,5,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,2,8,6,5,7,4,3] => [3,4,7,5,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,2,8,7,5,6,4,3] => [3,4,6,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,3,2,4,8,6,7,5] => [5,7,6,8,4,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,3,2,7,5,6,4,8] => [8,4,6,5,7,2,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,3,4,5,8,6,7,2] => [2,7,6,8,5,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,3,4,8,5,7,6,2] => [2,6,7,5,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,4,8,6,5,7,2] => [2,7,5,6,8,4,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,6,4,5,7,2,8] => [8,2,7,5,4,6,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,3,6,4,5,7,8,2] => [2,8,7,5,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,3,7,4,5,6,2,8] => [8,2,6,5,4,7,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,8,4,5,6,7,2] => [2,7,6,5,4,8,3,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,3,8,4,7,6,5,2] => [2,5,6,7,4,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,3,8,5,4,6,7,2] => [2,7,6,4,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,8,5,6,4,7,2] => [2,7,4,6,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,5,6,7,4,2] => [2,4,7,6,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,3,8,5,7,6,4,2] => [2,4,6,7,5,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,8,6,5,7,4,2] => [2,4,7,5,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,8,7,5,6,4,2] => [2,4,6,5,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,3,2,8,6,7,5] => [5,7,6,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,4,3,8,6,5,7,2] => [2,7,5,6,8,3,4,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,4,2,8,7,6] => [6,7,8,2,4,3,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,6,3,4,5,2,7,8] => [8,7,2,5,4,3,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,7,3,4,5,6,2,8] => [8,2,6,5,4,3,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,8,3,4,5,6,7,2] => [2,7,6,5,4,3,8,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,8,3,4,6,5,7,2] => [2,7,5,6,4,3,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[1,8,3,4,7,6,5,2] => [2,5,6,7,4,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,6,3,5,4,8,7,2] => [2,7,8,4,5,3,6,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,5,4,6,2,8] => [8,2,6,4,5,3,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,8,3,5,4,6,7,2] => [2,7,6,4,5,3,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[1,7,3,5,6,4,8,2] => [2,8,4,6,5,3,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,5,6,4,7,2] => [2,7,4,6,5,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[1,8,3,5,7,6,4,2] => [2,4,6,7,5,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,7,3,6,5,4,8,2] => [2,8,4,5,6,3,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,3,6,5,4,7,2] => [2,7,4,5,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,8,3,6,5,7,4,2] => [2,4,7,5,6,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,3,7,5,6,4,2] => [2,4,6,5,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,8,3,7,6,5,4,2] => [2,4,5,6,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[1,8,4,3,5,6,7,2] => [2,7,6,5,3,4,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[1,6,4,5,3,2,7,8] => [8,7,2,3,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,6,4,5,3,2,8,7] => [7,8,2,3,5,4,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,7,4,5,3,6,8,2] => [2,8,6,3,5,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,5,6,7,3,2] => [2,3,7,6,5,4,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[1,8,4,6,5,3,7,2] => [2,7,3,5,6,4,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,4,6,5,7,3,2] => [2,3,7,5,6,4,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,8,4,7,6,5,3,2] => [2,3,5,6,7,4,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,7,5,4,3,6,2,8] => [8,2,6,3,4,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,7,5,4,3,6,8,2] => [2,8,6,3,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,5,4,3,6,7,2] => [2,7,6,3,4,5,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,7,5,4,6,3,8,2] => [2,8,3,6,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,5,4,6,7,3,2] => [2,3,7,6,4,5,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,8,6,4,5,3,7,2] => [2,7,3,5,4,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,8,6,4,5,7,3,2] => [2,3,7,5,4,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,8,7,4,5,6,3,2] => [2,3,6,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[1,8,6,5,4,7,3,2] => [2,3,7,4,5,6,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,8,7,5,6,4,3,2] => [2,3,4,6,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[2,1,3,8,5,7,6,4] => [4,6,7,5,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,1,3,8,6,5,7,4] => [4,7,5,6,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,1,3,8,6,7,5,4] => [4,5,7,6,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,1,4,3,8,6,7,5] => [5,7,6,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[2,1,4,5,8,6,7,3] => [3,7,6,8,5,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,1,4,7,5,6,8,3] => [3,8,6,5,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,1,6,4,5,3,8,7] => [7,8,3,5,4,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[2,1,6,4,5,7,8,3] => [3,8,7,5,4,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,1,8,4,6,7,5,3] => [3,5,7,6,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,1,8,5,4,7,6,3] => [3,6,7,4,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,1,8,6,5,4,7,3] => [3,7,4,5,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,3,4,8,5,6,7,1] => [1,7,6,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,3,4,8,6,7,5,1] => [1,5,7,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,3,6,4,5,1,8,7] => [7,8,1,5,4,6,3,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,3,7,4,5,6,8,1] => [1,8,6,5,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,3,8,4,5,6,7,1] => [1,7,6,5,4,8,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[2,3,7,4,6,5,1,8] => [8,1,5,6,4,7,3,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,3,8,4,6,5,7,1] => [1,7,5,6,4,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,3,8,5,4,6,7,1] => [1,7,6,4,5,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,3,7,5,6,4,8,1] => [1,8,4,6,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,3,8,5,6,4,7,1] => [1,7,4,6,5,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,3,8,5,6,7,4,1] => [1,4,7,6,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,3,8,5,7,6,4,1] => [1,4,6,7,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,3,8,6,5,4,7,1] => [1,7,4,5,6,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[2,3,8,6,5,7,4,1] => [1,4,7,5,6,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,5,3,4,6,1,7,8] => [8,7,1,6,4,3,5,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[2,5,3,4,6,7,1,8] => [8,1,7,6,4,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[2,5,3,4,8,6,7,1] => [1,7,6,8,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,5,3,4,8,7,6,1] => [1,6,7,8,4,3,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,6,3,4,5,7,8,1] => [1,8,7,5,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,7,3,4,5,6,8,1] => [1,8,6,5,4,3,7,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[2,8,3,4,5,6,7,1] => [1,7,6,5,4,3,8,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[2,8,3,4,5,7,6,1] => [1,6,7,5,4,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,7,3,4,6,5,8,1] => [1,8,5,6,4,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,7,3,5,4,6,8,1] => [1,8,6,4,5,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[2,7,3,5,6,4,1,8] => [8,1,4,6,5,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,3,5,6,4,8,1] => [1,8,4,6,5,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,7,3,6,5,4,1,8] => [8,1,4,5,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,8,3,6,5,4,7,1] => [1,7,4,5,6,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,8,3,7,5,6,4,1] => [1,4,6,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,8,3,7,6,5,4,1] => [1,4,5,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,5,4,3,8,6,7,1] => [1,7,6,8,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,7,4,3,5,6,1,8] => [8,1,6,5,3,4,7,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,6,4,5,3,1,7,8] => [8,7,1,3,5,4,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,6,4,5,3,1,8,7] => [7,8,1,3,5,4,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[2,6,4,5,3,7,1,8] => [8,1,7,3,5,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,6,4,5,3,7,8,1] => [1,8,7,3,5,4,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,7,4,5,3,6,1,8] => [8,1,6,3,5,4,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,5,3,6,7,1] => [1,7,6,3,5,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,7,4,5,6,3,8,1] => [1,8,3,6,5,4,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,8,4,5,6,3,7,1] => [1,7,3,6,5,4,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[2,7,4,6,5,3,1,8] => [8,1,3,5,6,4,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,4,6,5,3,8,1] => [1,8,3,5,6,4,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,8,4,7,5,6,3,1] => [1,3,6,5,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[2,8,4,7,6,5,3,1] => [1,3,5,6,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[2,7,5,4,3,6,1,8] => [8,1,6,3,4,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,8,5,4,3,6,7,1] => [1,7,6,3,4,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,7,5,4,6,3,8,1] => [1,8,3,6,4,5,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,7,6,4,5,3,8,1] => [1,8,3,5,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,8,6,5,4,3,7,1] => [1,7,3,4,5,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,8,6,5,4,7,3,1] => [1,3,7,4,5,6,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[2,8,7,5,4,6,3,1] => [1,3,6,4,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[3,2,1,4,8,6,7,5] => [5,7,6,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[3,2,1,7,5,6,4,8] => [8,4,6,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[3,2,7,4,6,5,1,8] => [8,1,5,6,4,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,7,5,4,6,1,8] => [8,1,6,4,5,7,2,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,3,1,5,8,7,6] => [6,7,8,5,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[4,2,3,1,6,5,8,7] => [7,8,5,6,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[4,2,3,1,7,6,5,8] => [8,5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[4,2,3,1,8,6,7,5] => [5,7,6,8,1,3,2,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[4,2,3,1,8,7,6,5] => [5,6,7,8,1,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,2,3,5,6,1,8,7] => [7,8,1,6,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[4,2,3,7,5,6,8,1] => [1,8,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[4,2,3,8,7,6,5,1] => [1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,2,3,4,6,5,1,8] => [8,1,5,6,4,3,2,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[7,2,3,4,6,5,8,1] => [1,8,5,6,4,3,2,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[8,2,3,4,7,6,5,1] => [1,5,6,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,2,3,5,4,1,7,8] => [8,7,1,4,5,3,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[6,2,3,5,4,7,1,8] => [8,1,7,4,5,3,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,3,5,4,7,8,1] => [1,8,7,4,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[7,2,3,5,4,6,1,8] => [8,1,6,4,5,3,2,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[7,2,3,5,6,4,1,8] => [8,1,4,6,5,3,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,2,3,5,6,4,8,1] => [1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,2,3,6,5,4,1,8] => [8,1,4,5,6,3,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,2,3,6,5,4,8,1] => [1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,2,3,7,5,6,4,1] => [1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[5,2,4,3,1,7,6,8] => [8,6,7,1,3,4,2,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[5,2,4,3,7,6,1,8] => [8,1,6,7,3,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,3,5,7,8,1] => [1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[6,2,4,5,3,7,1,8] => [8,1,7,3,5,4,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,5,3,7,8,1] => [1,8,7,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,2,4,5,3,6,8,1] => [1,8,6,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,2,4,5,6,3,1,8] => [8,1,3,6,5,4,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,2,4,6,5,3,1,8] => [8,1,3,5,6,4,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,2,5,4,3,1,7,8] => [8,7,1,3,4,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[6,2,5,4,3,1,8,7] => [7,8,1,3,4,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[6,2,5,4,3,7,1,8] => [8,1,7,3,4,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,5,4,3,7,8,1] => [1,8,7,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[7,2,5,4,3,6,1,8] => [8,1,6,3,4,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,2,5,4,3,6,8,1] => [1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,2,5,4,3,6,7,1] => [1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[7,2,5,4,6,3,1,8] => [8,1,3,6,4,5,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,2,6,4,5,3,1,8] => [8,1,3,5,4,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[8,2,6,4,5,3,7,1] => [1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[8,2,7,4,5,6,3,1] => [1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,2,6,5,4,3,8,1] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,2,6,5,4,3,7,1] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[4,3,2,1,8,6,7,5] => [5,7,6,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,3,2,7,5,6,8,1] => [1,8,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[5,3,2,4,1,6,8,7] => [7,8,6,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[5,3,2,4,1,7,6,8] => [8,6,7,1,4,2,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[5,3,2,4,7,6,1,8] => [8,1,6,7,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,5,4,1,8,7] => [7,8,1,4,5,2,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[8,3,2,5,4,7,6,1] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,3] => 3
[8,3,2,7,6,5,4,1] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => 3
[5,3,4,2,1,7,8,6] => [6,8,7,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[5,3,4,2,6,1,8,7] => [7,8,1,6,2,4,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,4,2,5,1,8,7] => [7,8,1,5,2,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[6,3,4,5,2,1,8,7] => [7,8,1,2,5,4,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[7,3,4,6,5,2,1,8] => [8,1,2,5,6,4,3,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,3,4,6,5,2,8,1] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[6,3,5,4,2,1,7,8] => [8,7,1,2,4,5,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[6,3,5,4,2,7,1,8] => [8,1,7,2,4,5,3,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,5,4,2,7,8,1] => [1,8,7,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[7,3,5,4,2,6,1,8] => [8,1,6,2,4,5,3,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,3,5,4,6,2,1,8] => [8,1,2,6,4,5,3,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,3,6,4,5,2,1,8] => [8,1,2,5,4,6,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[7,3,6,5,4,2,1,8] => [8,1,2,4,5,6,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[5,4,3,2,8,6,7,1] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,4,3,2,7,6,5,1] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,3] => 3
[8,5,4,3,2,7,6,1] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => 3
[2,4,1,3,6,8,5,7] => [7,5,8,6,3,1,4,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[2,4,6,8,1,3,5,7] => [7,5,3,1,8,6,4,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,6,3,7,5,8] => [8,5,7,3,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,6,7,3,5,8] => [8,5,3,7,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,6,3,7,8,5] => [5,8,7,3,6,1,4,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,1,7,3,8,5] => [5,8,3,7,1,6,4,2] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,1,7,8,3,5] => [5,3,8,7,1,6,4,2] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,3,7,5,8,6] => [6,8,5,7,3,1,4,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[2,1,4,7,8,3,5,6] => [6,5,3,8,7,4,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,1,4,5,7,3,8,6] => [6,8,3,7,5,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,5,7,3,8,6] => [6,8,3,7,5,1,4,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,5,1,8,3,6,7] => [7,6,3,8,1,5,4,2] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,4,5,1,3,6,8,7] => [7,8,6,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,4,1,5,6,7,3,8] => [8,3,7,6,5,1,4,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,5,1,6,7,3,8] => [8,3,7,6,1,5,4,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,5,6,7,8,3] => [3,8,7,6,5,1,4,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[2,4,5,6,7,1,8,3] => [3,8,1,7,6,5,4,2] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[2,5,1,3,6,7,4,8] => [8,4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,6,3,7,4,8] => [8,4,7,3,6,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,5,6,1,7,8,3,4] => [4,3,8,7,1,6,5,2] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,5,1,7,3,4,8,6] => [6,8,4,3,7,1,5,2] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,1,5,7,3,8,4,6] => [6,4,8,3,7,5,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[2,5,7,1,8,3,4,6] => [6,4,3,8,1,7,5,2] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,5,1,7,4,8,6] => [6,8,4,7,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,3,5,7,8,4,6] => [6,4,8,7,5,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,5,6,1,7,4,8] => [8,4,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,5,6,1,7,8,4] => [4,8,7,1,6,5,3,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,1,6,7,3,4,8,5] => [5,8,4,3,7,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,6,7,1,3,4,8,5] => [5,8,4,3,1,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,3,7,8,4,5] => [5,4,8,7,3,6,1,2] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,6,1,7,3,8,4,5] => [5,4,8,3,7,1,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,6,3,7,4,5,8] => [8,5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,6,1,4,7,5,8] => [8,5,7,4,1,6,3,2] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,3,6,7,4,8,5] => [5,8,4,7,6,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,1,6,3,4,8,5,7] => [7,5,8,4,3,6,1,2] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,3,6,8,4,5,7] => [7,5,4,8,6,3,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,6,1,8,4,5,7] => [7,5,4,8,1,6,3,2] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,6,1,3,4,5,7,8] => [8,7,5,4,3,1,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,1,6,4,5,7,8] => [8,7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,3,4,6,1,5,7,8] => [8,7,5,1,6,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,4,6,1,7,5,8] => [8,5,7,1,6,4,3,2] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,3,4,6,7,1,5,8] => [8,5,1,7,6,4,3,2] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,3,4,6,7,8,1,5] => [5,1,8,7,6,4,3,2] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[2,3,7,1,4,8,5,6] => [6,5,8,4,1,7,3,2] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,7,8,1,4,5,6] => [6,5,4,1,8,7,3,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,3,1,7,4,5,6,8] => [8,6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,3,1,4,7,5,6,8] => [8,6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,3,4,1,7,5,6,8] => [8,6,5,7,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,3,4,5,7,1,8,6] => [6,8,1,7,5,4,3,2] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[2,3,1,4,8,5,6,7] => [7,6,5,8,4,1,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[2,3,4,1,8,5,6,7] => [7,6,5,8,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[2,3,1,4,5,8,6,7] => [7,6,8,5,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,3,4,1,5,8,6,7] => [7,6,8,5,1,4,3,2] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[3,4,6,1,2,5,8,7] => [7,8,5,2,1,6,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,1,4,2,6,8,5,7] => [7,5,8,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,4,1,6,2,7,5,8] => [8,5,7,2,6,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,7,1,2,5,8] => [8,5,2,1,7,6,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,1,7,2,8,5] => [5,8,2,7,1,6,4,3] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,7,1,2,8,5] => [5,8,2,1,7,6,4,3] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,4,6,7,1,8,2,5] => [5,2,8,1,7,6,4,3] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,2,7,5,8,6] => [6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,4,1,2,7,8,5,6] => [6,5,8,7,2,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,4,2,1] => 1
[3,4,7,1,8,2,5,6] => [6,5,2,8,1,7,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,4,7,8,1,2,5,6] => [6,5,2,1,8,7,4,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[3,4,1,5,2,7,6,8] => [8,6,7,2,5,1,4,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[3,4,1,5,7,2,6,8] => [8,6,2,7,5,1,4,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,5,1,7,2,6,8] => [8,6,2,7,1,5,4,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,1,5,8,2,6,7] => [7,6,2,8,5,1,4,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,5,8,1,2,6,7] => [7,6,2,1,8,5,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,4,5,1,6,2,7,8] => [8,7,2,6,1,5,4,3] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[3,4,1,5,6,7,2,8] => [8,2,7,6,5,1,4,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,5,1,6,7,8,2] => [2,8,7,6,1,5,4,3] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[3,5,1,6,2,4,8,7] => [7,8,4,2,6,1,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,1,5,6,2,8,4,7] => [7,4,8,2,6,5,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,6,1,8,2,4,7] => [7,4,2,8,1,6,5,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,6,7,1,2,4,8] => [8,4,2,1,7,6,5,3] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,6,1,7,8,2,4] => [4,2,8,7,1,6,5,3] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,1,2,4,8,6] => [6,8,4,2,1,7,5,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,1,7,2,8,4,6] => [6,4,8,2,7,1,5,3] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,1,5,7,8,2,4,6] => [6,4,2,8,7,5,1,3] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,1,7,8,2,4,6] => [6,4,2,8,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,2,7,4,6,8] => [8,6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,1,2,4,6,8] => [8,6,4,2,1,7,5,3] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,3,5,2,7,4,8,6] => [6,8,4,7,2,5,3,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,2,5,7,8,4,6] => [6,4,8,7,5,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,5,2,7,8,4,6] => [6,4,8,7,2,5,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,5,7,8,2,4,6] => [6,4,2,8,7,5,3,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,5,2,8,4,6,7] => [7,6,4,8,2,5,1,3] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,5,6,2,4,8,7] => [7,8,4,2,6,5,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,5,2,6,7,8,4] => [4,8,7,6,2,5,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,5,6,2,7,8,4] => [4,8,7,2,6,5,3,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,7,2,8,4,5] => [5,4,8,2,7,1,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,7,1,2,8,4,5] => [5,4,8,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,6,1,7,8,2,4,5] => [5,4,2,8,7,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,1,6,2,7,4,5,8] => [8,5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,7,1,2,4,5,8] => [8,5,4,2,1,7,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,2,4,7,5,8] => [8,5,7,4,2,1,6,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,2,4,7,8,5] => [5,8,7,4,2,6,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,2,6,7,4,8,5] => [5,8,4,7,6,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[3,1,6,2,4,8,5,7] => [7,5,8,4,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,2,4,5,8,7] => [7,8,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,2,4,6,7,5,8] => [8,5,7,6,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[3,1,2,4,6,7,8,5] => [5,8,7,6,4,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,3,4,6,7,2,8,5] => [5,8,2,7,6,4,3,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,2,7,4,8,5,6] => [6,5,8,4,7,2,3,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,7,2,4,8,5,6] => [6,5,8,4,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,2,8,4,5,6] => [6,5,4,8,2,7,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,4,7,2,5,8,6] => [6,8,5,2,7,4,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,2,4,5,6,8] => [8,6,5,4,2,1,7,3] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,7,2,4,5,6,8] => [8,6,5,4,2,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,3,4,2,7,5,6,8] => [8,6,5,7,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[3,1,2,4,5,7,8,6] => [6,8,7,5,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,3,4,5,7,2,8,6] => [6,8,2,7,5,4,3,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,3,4,5,7,8,2,6] => [6,2,8,7,5,4,3,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,1,8,2,4,5,6,7] => [7,6,5,4,2,8,1,3] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,1,2,4,8,5,6,7] => [7,6,5,8,4,2,1,3] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,3,4,2,8,5,6,7] => [7,6,5,8,2,4,3,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[3,1,2,4,5,8,6,7] => [7,6,8,5,4,2,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,3,4,2,5,8,6,7] => [7,6,8,5,2,4,3,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,5,1,2,6,3,8,7] => [7,8,3,6,2,1,5,4] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,5,1,6,2,8,3,7] => [7,3,8,2,6,1,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,5,6,8,2,3,7] => [7,3,2,8,6,5,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,6,2,7,3,8] => [8,3,7,2,6,1,5,4] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,1,6,7,2,3,8] => [8,3,2,7,6,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,6,1,7,2,3,8] => [8,3,2,7,1,6,5,4] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,5,1,7,2,8,3,6] => [6,3,8,2,7,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,1,2,8,3,6] => [6,3,8,2,1,7,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[4,5,1,7,8,2,3,6] => [6,3,2,8,7,1,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,1,2,5,7,3,6,8] => [8,6,3,7,5,2,1,4] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,2,7,3,8,6] => [6,8,3,7,2,5,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,5,7,8,3,6] => [6,3,8,7,5,2,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,5,7,8,3,6] => [6,3,8,7,5,2,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,7,8,2,3,6] => [6,3,2,8,7,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,2,6,3,8,7] => [7,8,3,6,2,5,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,4,5,6,2,8,3,7] => [7,3,8,2,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,2,5,6,7,3,8] => [8,3,7,6,5,2,4,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,4,5,6,2,7,3,8] => [8,3,7,2,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,4,5,6,7,2,3,8] => [8,3,2,7,6,5,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,5,2,6,7,8,3] => [3,8,7,6,2,5,4,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,6,1,7,2,3,8,5] => [5,8,3,2,7,1,6,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,2,7,8,3,5] => [5,3,8,7,2,1,6,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,1,6,7,2,8,3,5] => [5,3,8,2,7,6,1,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,2,3,7,5,8] => [8,5,7,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,1,6,2,3,7,8,5] => [5,8,7,3,2,6,1,4] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,1,2,6,7,3,8,5] => [5,8,3,7,6,2,1,4] => ([(0,1),(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,4,2,6,7,8,3,5] => [5,3,8,7,6,2,4,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,6,7,8,2,3,5] => [5,3,2,8,7,6,4,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,1,6,2,8,3,5,7] => [7,5,3,8,2,6,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,2,8,3,5,7] => [7,5,3,8,2,1,6,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,6,3,8,5,7] => [7,5,8,3,6,2,1,4] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,6,3,8,5,7] => [7,5,8,3,6,2,4,1] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,8,2,3,5,7] => [7,5,3,2,8,6,4,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,2,6,3,5,8,7] => [7,8,5,3,6,2,1,4] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,2,3,5,8,7] => [7,8,5,3,2,6,4,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[4,6,1,2,3,5,7,8] => [8,7,5,3,2,1,6,4] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[4,1,2,3,6,7,5,8] => [8,5,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,2,3,6,7,5,8] => [8,5,7,6,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,1,2,3,6,7,8,5] => [5,8,7,6,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,4,2,3,6,7,8,5] => [5,8,7,6,3,2,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,4,6,7,8,3,5] => [5,3,8,7,6,4,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[4,1,7,2,8,3,5,6] => [6,5,3,8,2,7,1,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,7,8,2,3,5,6] => [6,5,3,2,8,7,1,4] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,7,1,8,2,3,5,6] => [6,5,3,2,8,1,7,4] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,7,3,8,5,6] => [6,5,8,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,7,8,2,3,5,6] => [6,5,3,2,8,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,3,7,5,6,8] => [8,6,5,7,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,2,3,7,5,6,8] => [8,6,5,7,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,1,2,3,5,7,8,6] => [6,8,7,5,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,2,3,5,7,8,6] => [6,8,7,5,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[4,8,1,2,3,5,6,7] => [7,6,5,3,2,1,8,4] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,4,2,8,3,5,6,7] => [7,6,5,3,8,2,4,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,1,2,3,8,5,6,7] => [7,6,5,8,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,4,2,3,8,5,6,7] => [7,6,5,8,3,2,4,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[4,1,2,3,5,8,6,7] => [7,6,8,5,3,2,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,4,2,3,5,8,6,7] => [7,6,8,5,3,2,4,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,4,5,6,8,3,7] => [7,3,8,6,5,4,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,4,2,3,5,6,7,8] => [8,7,6,5,3,2,4,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[5,1,6,2,7,3,8,4] => [4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,1,2,7,8,3,4] => [4,3,8,7,2,1,6,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[5,1,6,2,7,3,4,8] => [8,4,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,6,1,7,2,3,4,8] => [8,4,3,2,7,1,6,5] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,1,2,3,7,8,4] => [4,8,7,3,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,1,2,6,7,8,3,4] => [4,3,8,7,6,2,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,5,6,2,7,8,3,4] => [4,3,8,7,2,6,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,6,7,2,8,3,4] => [4,3,8,2,7,6,5,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,1,2,8,3,4,7] => [7,4,3,8,2,1,6,5] => ([(0,1),(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,5,2,3,6,8,4,7] => [7,4,8,6,3,2,5,1] => ([(0,3),(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,2,3,4,7,8] => [8,7,4,3,2,6,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,5,3,6,7,8,4] => [4,8,7,6,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,5,6,7,3,8,4] => [4,8,3,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,5,6,7,8,3,4] => [4,3,8,7,6,5,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[5,7,1,2,8,3,4,6] => [6,4,3,8,2,1,7,5] => ([(0,1),(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,8,2,3,4,6] => [6,4,3,2,8,7,5,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,7,2,3,4,8,6] => [6,8,4,3,2,7,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,2,3,4,7,8,6] => [6,8,7,4,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,5,3,4,7,8,6] => [6,8,7,4,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[5,1,2,8,3,4,6,7] => [7,6,4,3,8,2,1,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,5,2,8,3,4,6,7] => [7,6,4,3,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,3,4,8,6,7] => [7,6,8,4,3,2,5,1] => ([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,5,3,4,8,6,7] => [7,6,8,4,3,5,2,1] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,5,3,4,6,7,8] => [8,7,6,4,3,5,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[1,6,2,7,3,8,4,5] => [5,4,8,3,7,2,6,1] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,7,2,3,8,4,5] => [5,4,8,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,2,8,3,4,5] => [5,4,3,8,2,7,6,1] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,2,7,3,4,5,8] => [8,5,4,3,7,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,6,7,2,3,4,5,8] => [8,5,4,3,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,6,2,3,4,7,5,8] => [8,5,7,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,1,8,2,3,4,5,7] => [7,5,4,3,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,6,2,3,8,4,5,7] => [7,5,4,8,3,2,6,1] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,6,8,3,4,5,7] => [7,5,4,3,8,6,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,1,2,3,4,8,5,7] => [7,5,8,4,3,2,1,6] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,6,2,3,4,8,5,7] => [7,5,8,4,3,2,6,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,2,3,4,5,7,8] => [8,7,5,4,3,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[1,2,3,6,4,5,7,8] => [8,7,5,4,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[7,1,2,3,8,4,5,6] => [6,5,4,8,3,2,1,7] => ([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,2,7,3,8,4,5,6] => [6,5,4,8,3,7,2,1] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,7,8,3,4,5,6] => [6,5,4,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,7,2,3,4,8,5,6] => [6,5,8,4,3,2,7,1] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,2,7,3,4,5,8,6] => [6,8,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,2,7,3,4,5,6,8] => [8,6,5,4,3,7,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[1,2,3,4,7,5,6,8] => [8,6,5,7,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[1,8,2,3,4,5,6,7] => [7,6,5,4,3,2,8,1] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,5,1,1] => 1
[1,2,3,8,4,5,6,7] => [7,6,5,4,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,1,1] => 1
[1,2,3,4,5,8,6,7] => [7,6,8,5,4,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,1,1,1] => 1
[5,3,2,6,1,4,8,7] => [7,8,4,1,6,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,2,5,4,8,1,6] => [6,1,8,4,5,2,3,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[8,4,5,2,3,7,6,1] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[7,4,5,2,3,8,1,6] => [6,1,8,3,2,5,4,7] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[6,4,5,2,3,1,8,7] => [7,8,1,3,2,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[5,4,6,2,1,3,8,7] => [7,8,3,1,2,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,6,1,5,4,2,8,7] => [7,8,2,4,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,1,3,2,8,7] => [7,8,2,3,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[5,6,4,3,1,2,8,7] => [7,8,2,1,3,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[7,5,4,3,2,8,1,6] => [6,1,8,2,3,4,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[7,6,4,3,8,2,1,5] => [5,1,2,8,3,4,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,4,3,8,1,2,5] => [5,2,1,8,3,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,4,3,1,8,2,6] => [6,2,8,1,3,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,1,3,8,2,6] => [6,2,8,3,1,5,7,4] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,5,4,8,2,6] => [6,2,8,4,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,5,4,8,3,6] => [6,3,8,4,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,5,4,7,6,2] => [2,6,7,4,5,1,8,3] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,8,5,1,3,7,6,2] => [2,6,7,3,1,5,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,3,1,7,6,2] => [2,6,7,1,3,4,8,5] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,3,7,1,5,2] => [2,5,1,7,3,4,8,6] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[7,8,4,3,6,5,1,2] => [2,1,5,6,3,4,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,3] => 3
[6,8,5,7,3,1,4,2] => [2,4,1,3,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => 2
[5,8,6,7,1,3,4,2] => [2,4,3,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[4,8,6,1,7,3,5,2] => [2,5,3,7,1,6,8,4] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,6,7,4,5,2] => [2,5,4,7,6,1,8,3] => ([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[2,1,8,6,7,4,5,3] => [3,5,4,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[2,1,7,6,8,4,3,5] => [5,3,4,8,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,7,1,6,8,4,2,5] => [5,2,4,8,6,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,1,8,3,2,5] => [5,2,3,8,1,6,7,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,4,7,2,1,8,3,6] => [6,3,8,1,2,7,4,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[6,4,7,2,8,1,3,5] => [5,3,1,8,2,7,4,6] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,4,6,2,8,3,1,5] => [5,1,3,8,2,6,4,7] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,3,2,6,7,4,5,1] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[7,3,2,6,8,4,1,5] => [5,1,4,8,6,2,3,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,7,8,1,4,5] => [5,4,1,8,7,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8) => [1,2,2,1,1,1] => 1
[5,3,2,7,1,8,4,6] => [6,4,8,1,7,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,2,1,7,8,5,6] => [6,5,8,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,2,4,1] => 1
[3,4,1,2,8,7,6,5] => [5,6,7,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,2,4,1] => 1
[6,3,2,8,7,1,5,4] => [4,5,1,7,8,2,3,6] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[7,3,2,8,6,5,1,4] => [4,1,5,6,8,2,3,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,2,6,5,1,3] => [3,1,5,6,2,8,4,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,8,2,7,1,5,3] => [3,5,1,7,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,8,2,1,7,6,3] => [3,6,7,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[4,5,8,1,2,7,6,3] => [3,6,7,2,1,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8) => [1,2,2,1,1,1] => 1
[3,5,1,8,2,7,6,4] => [4,6,7,2,8,1,5,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,5,8,3,7,6,4] => [4,6,7,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,8,7,3,5,4] => [4,5,3,7,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,6,1,8,7,2,5,4] => [4,5,2,7,8,1,6,3] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[4,6,8,1,7,2,5,3] => [3,5,2,7,1,8,6,4] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,8,7,2,1,4,3] => [3,4,1,2,7,8,5,6] => ([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [2,4,2] => 2
[7,5,8,6,2,4,1,3] => [3,1,4,2,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => 2
[5,7,8,6,1,4,2,3] => [3,2,4,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[4,7,8,1,6,5,2,3] => [3,2,5,6,1,8,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[3,7,1,8,6,5,2,4] => [4,2,5,6,8,1,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,8,6,5,3,4] => [4,3,5,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[3,8,1,7,6,5,4,2] => [2,4,5,6,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[4,8,7,1,6,5,3,2] => [2,3,5,6,1,7,8,4] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[5,8,7,6,1,4,3,2] => [2,3,4,1,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => 2
[3,2,6,1,4,5,7,8] => [8,7,5,4,1,6,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[6,2,8,1,3,4,5,7] => [7,5,4,3,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,2,8,1,3,4,5,6] => [6,5,4,3,1,8,2,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[8,2,5,1,3,4,6,7] => [7,6,4,3,1,5,2,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,2,6,7,1,4,5,8] => [8,5,4,1,7,6,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,6,7,1,3,4,8] => [8,4,3,1,7,6,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,5,7,1,3,4,8] => [8,4,3,1,7,5,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,5,7,1,2,4,8] => [8,4,2,1,7,5,3,6] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,5,6,1,2,4,8] => [8,4,2,1,6,5,3,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,3,5,8,1,2,4,7] => [7,4,2,1,8,5,3,6] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,3,4,8,1,2,5,6] => [6,5,2,1,8,4,3,7] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,5,8,1,2,4,6] => [6,4,2,1,8,5,3,7] => ([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[8,2,5,6,1,3,4,7] => [7,4,3,1,6,5,2,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,7,2,4,1,3,6,8] => [8,6,3,1,4,2,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,6,1,2,5,8] => [8,5,2,1,6,3,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,2,7,1,4,5,6] => [6,5,4,1,7,2,8,3] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,8,3,7,1,2,5,6] => [6,5,2,1,7,3,8,4] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,8,2,7,1,3,4,6] => [6,4,3,1,7,2,8,5] => ([(0,3),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,1,2,3,6] => [6,3,2,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,8,4,6,1,2,3,5] => [5,3,2,1,6,4,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,3,2,6,1,5,7,8] => [8,7,5,1,6,2,3,4] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[5,3,2,7,1,4,6,8] => [8,6,4,1,7,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,7,1,2,5,8] => [8,5,2,1,7,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,7,1,2,4,8] => [8,4,2,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,5,1,3,6,8] => [8,6,3,1,5,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,4,1,3,6,8] => [8,6,3,1,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,6,1,3,5,8] => [8,5,3,1,6,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,6,1,3,4,8] => [8,4,3,1,6,2,5,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,1,2,4,8] => [8,4,2,1,6,3,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,3,2,8,1,4,6,7] => [7,6,4,1,8,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,3,8,1,2,5,7] => [7,5,2,1,8,3,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,3,8,1,2,4,7] => [7,4,2,1,8,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,3,8,1,2,4,6] => [6,4,2,1,8,3,5,7] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,3,2,6,8,1,5,7] => [7,5,1,8,6,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,2,6,8,1,3,7] => [7,3,1,8,6,2,4,5] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,2,5,8,1,4,7] => [7,4,1,8,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,2,7,8,1,5,6] => [6,5,1,8,7,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,4,2,7,8,1,3,6] => [6,3,1,8,7,2,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,4,2,7,8,1,3,5] => [5,3,1,8,7,2,4,6] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,8,1,2,4] => [4,2,1,8,6,3,5,7] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,2,6,1,5,8] => [8,5,1,6,2,7,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,7,2,5,1,4,8] => [8,4,1,5,2,7,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,7,2,5,1,3,8] => [8,3,1,5,2,7,4,6] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,6,2,5,1,4,8] => [8,4,1,5,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,6,2,4,1,3,8] => [8,3,1,4,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,4,8,2,5,1,3,7] => [7,3,1,5,2,8,4,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,2,7,1,5,6] => [6,5,1,7,2,8,3,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,4,8,2,7,1,3,5] => [5,3,1,7,2,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,2,4,1,3,6] => [6,3,1,4,2,8,5,7] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,4,1,2,6] => [6,2,1,4,3,8,5,7] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,8,3,6,1,2,4] => [4,2,1,6,3,8,5,7] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,4,6,1,2,3] => [3,2,1,6,4,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[5,4,3,2,7,1,6,8] => [8,6,1,7,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,5,3,2,7,1,4,8] => [8,4,1,7,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,2,7,1,3,8] => [8,3,1,7,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,3,2,6,1,5,8] => [8,5,1,6,2,3,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,5,3,2,6,1,4,8] => [8,4,1,6,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,4,2,5,1,3,8] => [8,3,1,5,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[5,4,3,2,8,1,6,7] => [7,6,1,8,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,5,3,2,8,1,4,7] => [7,4,1,8,2,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,2,8,1,4,6] => [6,4,1,8,2,3,5,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,2,6,1,5] => [5,1,6,2,7,3,8,4] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,7,2,6,1,4] => [4,1,6,2,7,3,8,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,2,6,1,3] => [3,1,6,2,7,4,8,5] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,7,2,5,1,4] => [4,1,5,2,7,3,8,6] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,7,2,5,1,3] => [3,1,5,2,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,7,3,5,1,2] => [2,1,5,3,7,4,8,6] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[6,8,5,7,2,4,1,3] => [3,1,4,2,7,5,8,6] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => 2
[6,8,5,7,3,4,1,2] => [2,1,4,3,7,5,8,6] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[7,8,4,6,2,5,1,3] => [3,1,5,2,6,4,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[7,8,4,6,3,5,1,2] => [2,1,5,3,6,4,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[7,8,5,6,2,4,1,3] => [3,1,4,2,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[6,4,3,8,2,7,1,5] => [5,1,7,2,8,3,4,6] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,2,6,1,4] => [4,1,6,2,8,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,4,8,2,6,1,3] => [3,1,6,2,8,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,4,8,3,6,1,2] => [2,1,6,3,8,4,5,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[7,6,4,8,2,5,1,3] => [3,1,5,2,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,4,3,2,7,1,6] => [6,1,7,2,3,4,5,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[8,1,2,3,7,4,5,6] => [6,5,4,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,2,3,6,7,4,5] => [5,4,7,6,3,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,2,6,3,4,5,7] => [7,5,4,3,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,2,5,6,3,4,7] => [7,4,3,6,5,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,2,7,6,3,4,5] => [5,4,3,6,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,1,4,2,3,5,8,6] => [6,8,5,3,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,1,4,2,3,7,5,6] => [6,5,7,3,2,4,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,1,5,2,3,4,6,7] => [7,6,4,3,2,5,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,7,2,3,4,5,6] => [6,5,4,3,2,7,1,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[8,1,4,5,2,3,6,7] => [7,6,3,2,5,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,4,5,7,2,3,6] => [6,3,2,7,5,4,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,1,4,5,6,7,2,3] => [3,2,7,6,5,4,1,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,8,1,3,4,7,5,6] => [6,5,7,4,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,1,6,3,4,5,7] => [7,5,4,3,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,8,1,6,3,7,4,5] => [5,4,7,3,6,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,5,7,3,4,6] => [6,4,3,7,5,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,2,4,5,8,6] => [6,8,5,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,3,1,2,4,7,5,6] => [6,5,7,4,2,1,3,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,4,1,2,3,5,8,6] => [6,8,5,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,4,1,2,3,7,8,5] => [5,8,7,3,2,1,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[8,4,1,2,7,3,5,6] => [6,5,3,7,2,1,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[5,7,1,2,6,3,8,4] => [4,8,3,6,2,1,7,5] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,1,2,6,7,3,4] => [4,3,7,6,2,1,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,1,6,2,8,5,7] => [7,5,8,2,6,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,6,2,7,8,5] => [5,8,7,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,1,5,2,3,8,6] => [6,8,3,2,5,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,5,2,7,3,4] => [4,3,7,2,5,1,8,6] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[8,3,1,7,6,2,4,5] => [5,4,2,6,7,1,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[7,3,1,5,6,2,8,4] => [4,8,2,6,5,1,3,7] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,5,1,8,7,4,6] => [6,4,7,8,1,5,3,2] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,3,8,1,6,7,4,5] => [5,4,7,6,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,3,4,1,2,7,8,5] => [5,8,7,2,1,4,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,3,8,1,2,7,4,5] => [5,4,7,2,1,8,3,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[8,5,4,1,2,7,3,6] => [6,3,7,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[6,8,5,1,2,7,3,4] => [4,3,7,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,1,6,2,8,4] => [4,8,2,6,1,5,3,7] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,5,1,6,2,3,4] => [4,3,2,6,1,5,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,7,4,8,1,3,5,6] => [6,5,3,1,8,4,7,2] => ([(0,2),(0,7),(1,3),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,5,1,7,3,6] => [6,3,7,1,5,4,8,2] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,6,1,7,3,5] => [5,3,7,1,6,4,8,2] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,8,5,1,2,4,6] => [6,4,2,1,5,8,3,7] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,3,8,6,1,2,4,5] => [5,4,2,1,6,8,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,4,5,1,2,8,3] => [3,8,2,1,5,4,6,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,7,5,6,1,3,4] => [4,3,1,6,5,7,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,5,2,6,1,4,8,7] => [7,8,4,1,6,2,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,6,4,1,8,7] => [7,8,1,4,6,2,5,3] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,7,4,8,1,6] => [6,1,8,4,7,2,5,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,2,3,8,6,1] => [1,6,8,3,2,7,5,4] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,5,7,2,3,8,1,6] => [6,1,8,3,2,7,5,4] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,6,2,3,1,8,7] => [7,8,1,3,2,6,5,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[4,5,6,2,1,3,8,7] => [7,8,3,1,2,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[3,5,1,6,4,2,8,7] => [7,8,2,4,6,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,6,1,3,2,8,7] => [7,8,2,3,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[4,5,6,3,1,2,8,7] => [7,8,2,1,3,6,5,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[4,5,7,3,2,8,1,6] => [6,1,8,2,3,7,5,4] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,3,2,8,6,1] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[4,6,7,3,8,2,1,5] => [5,1,2,8,3,7,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[4,6,7,3,8,1,2,5] => [5,2,1,8,3,7,6,4] => ([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,5,7,3,1,8,2,6] => [6,2,8,1,3,7,5,4] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,1,3,8,2,6] => [6,2,8,3,1,7,5,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,7,4,8,2,6] => [6,2,8,4,7,1,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,7,4,8,3,6] => [6,3,8,4,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,7,4,8,6,3] => [3,6,8,4,7,5,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,7,4,8,6,2] => [2,6,8,4,7,1,5,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,1,3,8,6,2] => [2,6,8,3,1,7,5,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,5,7,3,1,8,6,2] => [2,6,8,1,3,7,5,4] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[4,6,7,3,8,1,5,2] => [2,5,1,8,3,7,6,4] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,1,8,3,5,2] => [2,5,3,8,1,7,6,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,1,7,8,4,5,2] => [2,5,4,8,7,1,6,3] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,6,7,8,4,5,3] => [3,5,4,8,7,6,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[2,1,6,7,8,4,3,5] => [5,3,4,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[3,6,1,7,8,4,2,5] => [5,2,4,8,7,1,6,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,1,8,3,2,5] => [5,2,3,8,1,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,5,7,2,1,8,3,6] => [6,3,8,1,2,7,5,4] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,7,2,8,1,3,5] => [5,3,1,8,2,7,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,6,7,2,8,3,1,5] => [5,1,3,8,2,7,6,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,2,7,8,4,5,1] => [1,5,4,8,7,2,6,3] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,6,2,7,8,4,1,5] => [5,1,4,8,7,2,6,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,6,2,7,8,1,4,5] => [5,4,1,8,7,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,5,2,7,1,8,4,6] => [6,4,8,1,7,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,2,1,7,8,5,6] => [6,5,8,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[3,4,1,2,7,8,6,5] => [5,6,8,7,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[3,5,2,7,1,8,6,4] => [4,6,8,1,7,2,5,3] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,6,2,7,8,1,5,4] => [4,5,1,8,7,2,6,3] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,6,2,7,8,5,1,4] => [4,1,5,8,7,2,6,3] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[3,6,2,7,8,5,4,1] => [1,4,5,8,7,2,6,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[4,6,7,2,8,5,1,3] => [3,1,5,8,2,7,6,4] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,2,8,1,5,3] => [3,5,1,8,2,7,6,4] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,5,7,2,1,8,6,3] => [3,6,8,1,2,7,5,4] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,5,7,1,2,8,6,3] => [3,6,8,2,1,7,5,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,5,1,7,2,8,6,4] => [4,6,8,2,7,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,7,3,8,6,4] => [4,6,8,3,7,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,7,8,3,5,4] => [4,5,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[3,6,1,7,8,2,5,4] => [4,5,2,8,7,1,6,3] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,7,1,8,2,5,3] => [3,5,2,8,1,7,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,6,7,8,2,4,3,1] => [1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[4,6,7,1,8,5,2,3] => [3,2,5,8,1,7,6,4] => ([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,1,7,8,5,2,4] => [4,2,5,8,7,1,6,3] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,7,8,5,3,4] => [4,3,5,8,7,6,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[3,6,1,7,8,5,4,2] => [2,4,5,8,7,1,6,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,1,8,5,3,2] => [2,3,5,8,1,7,6,4] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,7,8,4,1,3,2] => [2,3,1,4,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[6,5,8,7,3,4,1,2] => [2,1,4,3,7,8,5,6] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,3] => 3
[3,6,7,4,5,8,1,2] => [2,1,8,5,4,7,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,6,7,4,5,1,8,3] => [3,8,1,5,4,7,6,2] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,7,4,5,2,3,8] => [8,3,2,5,4,7,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,5,4,7,6,2,3,8] => [8,3,2,6,7,4,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[2,5,4,7,6,1,8,3] => [3,8,1,6,7,4,5,2] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,4,7,6,8,1,2] => [2,1,8,6,7,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,5,3,7,8,6,1,2] => [2,1,6,8,7,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[5,4,3,8,7,6,1,2] => [2,1,6,7,8,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,1,2] => 2
[6,4,8,3,7,5,1,2] => [2,1,5,7,3,8,4,6] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,2,1,2] => 2
[5,3,4,8,6,7,1,2] => [2,1,7,6,8,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[4,3,5,6,8,7,1,2] => [2,1,7,8,6,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[3,2,5,6,1,8,7,4] => [4,7,8,1,6,5,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,2,5,6,8,1,7,3] => [3,7,1,8,6,5,2,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,4,8,6,1,7,3] => [3,7,1,6,8,4,2,5] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,4,5,1,7,3] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,4,5,2,3,6] => [6,3,2,5,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[6,1,8,4,5,2,3,7] => [7,3,2,5,4,8,1,6] => ([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,1,4,8,6,2,3,7] => [7,3,2,6,8,4,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,3,2,8,6,5,7] => [7,5,6,8,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[5,1,3,8,2,6,4,7] => [7,4,6,2,8,3,1,5] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,8,3,2,5,4,7] => [7,4,5,2,3,8,1,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,8,1,3,2,5,4,6] => [6,4,5,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,8,2,3,1,5,6,4] => [4,6,5,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[6,2,8,3,1,5,7,4] => [4,7,5,1,3,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,8,1,6,7,4] => [4,7,6,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[6,3,8,2,1,7,5,4] => [4,5,7,1,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[7,8,3,2,1,6,5,4] => [4,5,6,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,1,2] => 2
[7,8,4,2,6,1,5,3] => [3,5,1,6,2,4,8,7] => ([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,2,1,2] => 2
[5,4,2,8,7,1,6,3] => [3,6,1,7,8,2,4,5] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[4,5,2,7,8,1,6,3] => [3,6,1,8,7,2,5,4] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[2,5,3,7,1,6,8,4] => [4,8,6,1,7,3,5,2] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,7,2,6,4,8] => [8,4,6,2,7,3,5,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,6,7,3,2,5,4,8] => [8,4,5,2,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[2,6,7,3,1,5,8,4] => [4,8,5,1,3,7,6,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,7,2,1,8,5,4] => [4,5,8,1,2,7,6,3] => ([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,8,5,6,2,1,4,3] => [3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [1,4,3] => 3
[5,4,1,8,7,2,3,6] => [6,3,2,7,8,1,4,5] => ([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,4,8,1,7,2,3,5] => [5,3,2,7,1,8,4,6] => ([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,3,1,2,6,4,5] => [5,4,6,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[5,3,1,8,2,7,4,6] => [6,4,7,2,8,1,3,5] => ([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,1,2,8,7,5,6] => [6,5,7,8,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[4,2,1,3,8,5,7,6] => [6,7,5,8,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[5,2,1,8,3,4,7,6] => [6,7,4,3,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,8,1,3,4,7,5] => [5,7,4,3,1,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,1,3,4,6,5] => [5,6,4,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,3,1,2,6,5,8,7] => [7,8,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[6,3,1,5,2,4,8,7] => [7,8,4,2,5,1,3,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,5,2,8,4,6] => [6,4,8,2,5,1,3,7] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,5,1,2,3,8,7] => [7,8,3,2,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[5,4,6,1,2,3,8,7] => [7,8,3,2,1,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[2,1,6,5,3,4,8,7] => [7,8,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[3,6,1,5,2,4,8,7] => [7,8,4,2,5,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,1,2,3,8,7] => [7,8,3,2,1,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[5,6,4,1,2,3,8,7] => [7,8,3,2,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[6,5,4,1,2,3,8,7] => [7,8,3,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[7,5,4,1,2,8,3,6] => [6,3,8,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,1,2,8,3,6] => [6,3,8,2,1,4,7,5] => ([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,1,2,8,3,6] => [6,3,8,2,1,5,7,4] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,5,2,8,4,6] => [6,4,8,2,5,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,5,3,8,4,6] => [6,4,8,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,5,3,7,4,6] => [6,4,7,3,5,8,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,5,2,7,4,6] => [6,4,7,2,5,1,8,3] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,1,7,2,3,5] => [5,3,2,7,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,6,1,7,2,3,5] => [5,3,2,7,1,6,8,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,1,8,6,7,3,4,5] => [5,4,3,7,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[3,7,1,6,8,2,4,5] => [5,4,2,8,6,1,7,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,7,1,2,8,3,6] => [6,3,8,2,1,7,4,5] => ([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,7,1,8,2,3,5] => [5,3,2,8,1,7,4,6] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,4,6,1,8,2,3,5] => [5,3,2,8,1,6,4,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,3,1,6,8,2,4,5] => [5,4,2,8,6,1,3,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,3,1,7,2,8,4,6] => [6,4,8,2,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,2,7,8,5,6] => [6,5,8,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[2,1,4,3,8,7,5,6] => [6,5,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,2,1] => 1
[3,4,1,2,8,7,5,6] => [6,5,7,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[6,3,1,8,7,2,4,5] => [5,4,2,7,8,1,3,6] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,3,1,8,6,2,4,5] => [5,4,2,6,8,1,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[5,4,8,1,2,7,3,6] => [6,3,7,2,1,8,4,5] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,5,8,1,2,7,3,6] => [6,3,7,2,1,8,5,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,5,1,8,2,7,4,6] => [6,4,7,2,8,1,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,8,3,7,4,6] => [6,4,7,3,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,8,1,7,2,3,5] => [5,3,2,7,1,8,6,4] => ([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[2,1,7,8,6,3,4,5] => [5,4,3,6,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[2,1,8,7,6,3,4,5] => [5,4,3,6,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[3,8,1,7,6,2,4,5] => [5,4,2,6,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,7,5,1,2,3,4] => [4,3,2,1,5,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[6,4,7,2,5,1,8,3] => [3,8,1,5,2,7,4,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,7,6,1,3,8] => [8,3,1,6,7,2,4,5] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,2,7,6,1,8,3] => [3,8,1,6,7,2,4,5] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,4,3,7,6,8,1,2] => [2,1,8,6,7,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[5,4,3,7,8,6,1,2] => [2,1,6,8,7,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[5,4,3,8,6,7,1,2] => [2,1,7,6,8,3,4,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[5,4,3,6,8,7,1,2] => [2,1,7,8,6,3,4,5] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[5,4,2,6,7,1,8,3] => [3,8,1,7,6,2,4,5] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,6,7,1,3,8] => [8,3,1,7,6,2,4,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,3,2,6,1,7,4,8] => [8,4,7,1,6,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,6,1,7,8,4] => [4,8,7,1,6,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,2,6,1,8,7,4] => [4,7,8,1,6,2,3,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,4,2,6,8,1,7,3] => [3,7,1,8,6,2,4,5] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,8,6,1,7,3] => [3,7,1,6,8,2,4,5] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,8,2,5,1,7,3] => [3,7,1,5,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,8,6,1,3,7] => [7,3,1,6,8,2,4,5] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,3,2,6,1,8,4,7] => [7,4,8,1,6,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,2,1,6,8,5,7] => [7,5,8,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => 1
[5,3,2,8,1,6,4,7] => [7,4,6,1,8,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,8,2,1,5,4,7] => [7,4,5,1,2,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,3,2,1,5,4,6] => [6,4,5,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[7,8,3,2,1,5,6,4] => [4,6,5,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[6,3,8,2,1,5,7,4] => [4,7,5,1,2,8,3,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,8,1,6,7,4] => [4,7,6,1,8,2,3,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,4,2,7,8,1,6,3] => [3,6,1,8,7,2,4,5] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,3,2,7,1,8,6,4] => [4,6,8,1,7,2,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,3,2,7,1,6,8,4] => [4,8,6,1,7,2,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,2,7,1,6,4,8] => [8,4,6,1,7,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,2,1,5,4,8] => [8,4,5,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,7,2,1,5,8,4] => [4,8,5,1,2,7,3,6] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,7,2,1,8,5,4] => [4,5,8,1,2,7,3,6] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,4,7,2,8,1,5,3] => [3,5,1,8,2,7,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,7,8,2,1,4,3] => [3,4,1,2,8,7,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[6,5,8,7,2,1,3,4] => [4,3,1,2,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[6,3,7,2,1,8,4,5] => [5,4,8,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,3,7,2,1,4,8,5] => [5,8,4,1,2,7,3,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,7,2,1,4,5,8] => [8,5,4,1,2,7,3,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,3,2,7,1,4,8,6] => [6,8,4,1,7,2,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,8,7,1,3,6] => [6,3,1,7,8,2,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,8,3,2,1,6,4,5] => [5,4,6,1,2,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[6,3,8,2,1,7,4,5] => [5,4,7,1,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,3,2,8,1,7,4,6] => [6,4,7,1,8,2,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,3,2,1,8,7,5,6] => [6,5,7,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,3,2,1,7,5,8,6] => [6,8,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => 1
[4,3,2,1,7,5,6,8] => [8,6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[5,3,2,8,1,4,7,6] => [6,7,4,1,8,2,3,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,8,2,1,4,7,5] => [5,7,4,1,2,8,3,6] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,2,1,4,6,5] => [5,6,4,1,2,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[6,3,8,2,1,4,5,7] => [7,5,4,1,2,8,3,6] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,2,1,8,5,6,7] => [7,6,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[4,3,2,1,5,8,6,7] => [7,6,8,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[7,8,5,6,1,2,4,3] => [3,4,2,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[6,1,8,4,7,2,5,3] => [3,5,2,7,4,8,1,6] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,4,7,2,5,3] => [3,5,2,7,4,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,3,2,7,5,4] => [4,5,7,2,3,8,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,1,8,3,2,7,5,4] => [4,5,7,2,3,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,1,3,2,6,5,4] => [4,5,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[7,8,3,1,2,6,5,4] => [4,5,6,2,1,3,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[7,8,3,4,6,5,1,2] => [2,1,5,6,4,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[7,8,2,3,1,6,5,4] => [4,5,6,1,3,2,8,7] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[7,8,2,1,3,6,5,4] => [4,5,6,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[7,8,1,2,3,6,5,4] => [4,5,6,3,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[6,1,8,2,3,7,5,4] => [4,5,7,3,2,8,1,6] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,2,3,7,5,4] => [4,5,7,3,2,8,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,2,8,3,7,6,4] => [4,6,7,3,8,2,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,2,8,3,7,6,4] => [4,6,7,3,8,2,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,1,8,3,7,6,4] => [4,6,7,3,8,1,2,5] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,8,1,3,7,5,4] => [4,5,7,3,1,8,2,6] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,3,1,7,5,4] => [4,5,7,1,3,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,4,7,1,5,3] => [3,5,1,7,4,8,2,6] => ([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,8,4,7,1,5,3] => [3,5,1,7,4,8,6,2] => ([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,8,3,1,7,5,4] => [4,5,7,1,3,8,6,2] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,6,8,1,3,7,5,4] => [4,5,7,3,1,8,6,2] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,5,1,8,3,7,6,4] => [4,6,7,3,8,1,5,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,3,8,7,6,5] => [5,6,7,8,3,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => 1
[2,5,3,8,1,7,6,4] => [4,6,7,1,8,3,5,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,4,8,7,1,6,3] => [3,6,1,7,8,4,5,2] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,4,8,7,6,1,2] => [2,1,6,7,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[5,3,4,8,7,6,1,2] => [2,1,6,7,8,4,3,5] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[5,2,4,8,7,1,6,3] => [3,6,1,7,8,4,2,5] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,8,1,7,6,4] => [4,6,7,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,1,2,3,8,7,6,5] => [5,6,7,8,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[1,4,2,3,8,7,6,5] => [5,6,7,8,3,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[4,3,1,2,8,7,6,5] => [5,6,7,8,2,1,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[6,3,8,1,2,7,5,4] => [4,5,7,2,1,8,3,6] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,3,1,8,2,7,6,4] => [4,6,7,2,8,1,3,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,1,3,8,2,7,6,4] => [4,6,7,2,8,3,1,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,5,3,8,2,7,6,4] => [4,6,7,2,8,3,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,8,7,2,6,3] => [3,6,2,7,8,4,5,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,1,4,8,7,2,6,3] => [3,6,2,7,8,4,1,5] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,1,8,7,2,6,3] => [3,6,2,7,8,1,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,4,8,1,7,2,5,3] => [3,5,2,7,1,8,4,6] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,8,7,1,2,4,3] => [3,4,2,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[5,6,8,7,3,4,1,2] => [2,1,4,3,7,8,6,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[5,6,8,7,2,1,4,3] => [3,4,1,2,7,8,6,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[4,5,1,8,7,2,6,3] => [3,6,2,7,8,1,5,4] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,1,5,8,7,2,6,3] => [3,6,2,7,8,5,1,4] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,4,5,8,7,2,6,3] => [3,6,2,7,8,5,4,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,5,8,2,7,6,4] => [4,6,7,2,8,5,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,8,2,7,6,4] => [4,6,7,2,8,5,1,3] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,8,1,2,7,5,4] => [4,5,7,2,1,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,6,8,2,1,7,5,4] => [4,5,7,1,2,8,6,3] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,6,8,2,7,1,5,3] => [3,5,1,7,2,8,6,4] => ([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,8,7,6,1,2] => [2,1,6,7,8,3,5,4] => ([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[4,5,2,8,7,1,6,3] => [3,6,1,7,8,2,5,4] => ([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,2,8,1,7,6,4] => [4,6,7,1,8,2,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,1,4,2,8,7,6,5] => [5,6,7,8,2,4,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,3,1] => 1
[3,1,2,4,8,7,6,5] => [5,6,7,8,4,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[3,2,5,8,1,7,6,4] => [4,6,7,1,8,5,2,3] => ([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,2,5,8,7,1,6,3] => [3,6,1,7,8,5,2,4] => ([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,5,8,7,6,1,2] => [2,1,6,7,8,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[3,4,5,8,7,6,1,2] => [2,1,6,7,8,5,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,4,5,8,7,1,6,3] => [3,6,1,7,8,5,4,2] => ([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,5,8,1,7,6,4] => [4,6,7,1,8,5,3,2] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,3,2,6,5,8,7] => [7,8,5,6,2,3,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[7,1,4,2,5,3,8,6] => [6,8,3,5,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,3,5,4,8,7] => [7,8,4,5,3,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[6,2,5,1,4,3,8,7] => [7,8,3,4,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,7,2,5,3,8,6] => [6,8,3,5,2,7,1,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,5,3,7,2,6,4] => [4,6,2,7,3,5,1,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[7,1,5,3,8,2,6,4] => [4,6,2,8,3,5,1,7] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,2,6,4,7,5] => [5,7,4,6,2,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,4,3,8,5,7,6] => [6,7,5,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[4,1,3,2,8,5,7,6] => [6,7,5,8,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,4,8,1,3,2,6,5] => [5,6,2,3,1,8,4,7] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,4,2,8,3,7,5] => [5,7,3,8,2,4,1,6] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,5,2,8,3,7,6] => [6,7,3,8,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,6,2,8,3,7,5] => [5,7,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,4,7,3,6,5] => [5,6,3,7,4,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,8,2,4,1,6] => [6,1,4,2,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,8,1,3,4,7] => [7,4,3,1,8,2,6,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,4,5,3,1,8,2,6] => [6,2,8,1,3,5,4,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,8,3,1,5,2] => [2,5,1,3,8,4,7,6] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,7,3,1,8,4,2] => [2,4,8,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,6,2,7,3,1,8,4] => [4,8,1,3,7,2,6,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,7,3,1,8,2,4,6] => [6,4,2,8,1,3,7,5] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,8,2,6,1,5] => [5,1,6,2,8,7,4,3] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,3,8,2,6,1,4] => [4,1,6,2,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,1,7,8,4,3] => [3,4,8,7,1,2,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[8,6,1,3,4,2,5,7] => [7,5,2,4,3,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[8,2,4,5,6,3,1,7] => [7,1,3,6,5,4,2,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[8,1,2,4,5,6,3,7] => [7,3,6,5,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,5,6,2,1,4,3,7] => [7,3,4,1,2,6,5,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,1,4,5,6,3,2,7] => [7,2,3,6,5,4,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[5,3,4,7,1,2,8,6] => [6,8,2,1,7,4,3,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,4,1,6,2] => [2,6,1,4,8,3,5,7] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,4,7,8,3,5,2] => [2,5,3,8,7,4,6,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,6,7,8,2,1,4] => [4,1,2,8,7,6,5,3] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[5,3,1,7,8,2,4,6] => [6,4,2,8,7,1,3,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,7,3,4,2,5,8,6] => [6,8,5,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,3,4,2,6,5] => [5,6,2,4,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,8,3,4,2,1,6,5] => [5,6,1,2,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[4,6,2,7,8,1,5,3] => [3,5,1,8,7,2,6,4] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,6,1,2,4] => [4,2,1,6,8,3,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,6,7,8,4,1,3] => [3,1,4,8,7,6,2,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,7,8,2,1,5,4,3] => [3,4,5,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => 2
[6,7,3,8,5,1,4,2] => [2,4,1,5,8,3,7,6] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,2,3,7,6,1,8] => [8,1,6,7,3,2,5,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,4,3,7,2,5,1,8] => [8,1,5,2,7,3,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,4,3,6,5,1,2,7] => [7,2,1,5,6,3,4,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[1,5,6,3,4,8,7,2] => [2,7,8,4,3,6,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,6,2,7,3,5,1,8] => [8,1,5,3,7,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,2,6,7,4,5,1,8] => [8,1,5,4,7,6,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,7,2,6,5,3,1,8] => [8,1,3,5,6,2,7,4] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,6,2,4,3,1,8] => [8,1,3,4,2,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,7,5,4,8,3,6,2] => [2,6,3,8,4,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,5,4,7,6,2,3] => [3,2,6,7,4,5,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,1,6,7,4,5,2,3] => [3,2,5,4,7,6,1,8] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => 2
[5,1,7,2,8,4,6,3] => [3,6,4,8,2,7,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,7,8,5,6,3] => [3,6,5,8,7,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,8,2,7,1,5,3,6] => [6,3,5,1,7,2,8,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,2,1,4,3,6] => [6,3,4,1,2,7,8,5] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,8,7,1,2,4,3,5] => [5,3,4,2,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[1,7,6,8,4,3,5,2] => [2,5,3,4,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,6,8,1,3,2,4,5] => [5,4,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,7,8,2,1,3,4,6] => [6,4,3,1,2,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,7,2,8,1,3,5,6] => [6,5,3,1,8,2,7,4] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,2,8,3,1,5,7] => [7,5,1,3,8,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,1,2,4,6] => [6,4,2,1,3,8,5,7] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,3,8,4,6,2] => [2,6,4,8,3,7,5,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,3,7,8,5,6,2] => [2,6,5,8,7,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,4,3,8,2,1,5,7] => [7,5,1,2,8,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,2,3,8,1,6,7] => [7,6,1,8,3,2,5,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,4,3,1,2,8,7,5] => [5,7,8,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[7,4,3,1,8,2,6,5] => [5,6,2,8,1,3,4,7] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,8,3,7,6,4,2] => [2,4,6,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,3,8,2,6,4] => [4,6,2,8,3,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,2,8,3,6,4] => [4,6,3,8,2,1,7,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,7,1,8,2,3,5,4] => [4,5,3,2,8,1,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,6,1,8,3,2,5,4] => [4,5,2,3,8,1,6,7] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,8,7,3,5,4,2] => [2,4,5,3,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[6,8,1,7,2,5,3,4] => [4,3,5,2,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,1,7,6,3,5] => [5,3,6,7,1,2,8,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => 1
[3,2,8,1,7,6,4,5] => [5,4,6,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[4,1,2,8,7,6,5,3] => [3,5,6,7,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,1,8,2,7,6,4,3] => [3,4,6,7,2,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,2,4,8,7,5] => [5,7,8,4,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,1,8,2,3,5,4] => [4,5,3,2,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,1,2,8,7,5,6,3] => [3,6,5,7,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,1,8,2,7,4,6,5] => [5,6,4,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,7,2,3,5,6] => [6,5,3,2,7,1,8,4] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,3,7,4,6,2] => [2,6,4,7,3,8,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,5,3,7,1,8,6] => [6,8,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,5,2,7,1,8,6] => [6,8,1,7,2,5,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,7,5,8,2] => [2,8,5,7,4,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,7,2,8,5] => [5,8,2,7,4,6,1,3] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,7,3,8,5] => [5,8,3,7,1,6,2,4] => ([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,6,1,7,4,8,5] => [5,8,4,7,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,5,7,1,8,3] => [3,8,1,7,5,6,2,4] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,7,5,8,3] => [3,8,5,7,1,6,2,4] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,5,7,4,8,2] => [2,8,4,7,5,6,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,6,3,7,1,8,2] => [2,8,1,7,3,6,4,5] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,6,1,4,5,3,2,7] => [7,2,3,5,4,1,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,1,5,6,4,3,2,7] => [7,2,3,4,6,5,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[1,7,4,5,3,2,8,6] => [6,8,2,3,5,4,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,4,8,6,3,5,2] => [2,5,3,6,8,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,8,6,7,4,2] => [2,4,7,6,8,5,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,1,8,7,5,2] => [2,5,7,8,1,4,6,3] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[3,7,6,5,8,2,1,4] => [4,1,2,8,5,6,7,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,6,5,7,8,3,4] => [4,3,8,7,5,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[5,3,7,2,1,8,4,6] => [6,4,8,1,2,7,3,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,2,1,5,8,6] => [6,8,5,1,2,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,5,7,3,2,1,6,4] => [4,6,1,2,3,7,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => 2
[4,6,8,2,1,7,5,3] => [3,5,7,1,2,8,6,4] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,2,5,6,7,4,3] => [3,4,7,6,5,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,1,7,8,5,6,4,3] => [3,4,6,5,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[8,7,1,5,6,4,3,2] => [2,3,4,6,5,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[6,5,3,1,2,4,8,7] => [7,8,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[6,1,2,4,5,3,8,7] => [7,8,3,5,4,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,1,8,7,5,3,4,6] => [6,4,3,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[3,7,6,4,5,8,2,1] => [1,2,8,5,4,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[2,5,8,4,7,6,1,3] => [3,1,6,7,4,8,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,8,2,1,7,5] => [5,7,1,2,8,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,8,1,5,6,7,4] => [4,7,6,5,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,8,1,3,5,6,7,4] => [4,7,6,5,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[8,1,2,3,5,6,7,4] => [4,7,6,5,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,1,8,3,4,6,7,5] => [5,7,6,4,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,4,3,1,8,5,7,6] => [6,7,5,8,1,3,4,2] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[4,1,3,2,6,8,7,5] => [5,7,8,6,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[4,1,2,8,5,6,7,3] => [3,7,6,5,8,2,1,4] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,3,2,8,1,7,4] => [4,7,1,8,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,8,5,6,7,2] => [2,7,6,5,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,3,1,8,2,7,4] => [4,7,2,8,1,3,6,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,6,3,8,1,2,7,5] => [5,7,2,1,8,3,6,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,2,5,1,6,8,4,7] => [7,4,8,6,1,5,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,2,7,1,8,6] => [6,8,1,7,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => 1
[2,8,5,7,4,6,1,3] => [3,1,6,4,7,5,8,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,8,7,3,6,2] => [2,6,3,7,8,5,4,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,1,8,6,5,2] => [2,5,6,8,1,7,3,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,3,1,8,6,4,2] => [2,4,6,8,1,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,4,8,3,2,5] => [5,2,3,8,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,2,1,7,3,8,4] => [4,8,3,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,7,8,2,1,5,6] => [6,5,1,2,8,7,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,4,8,2,7,1,6,3] => [3,6,1,7,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,7,1,6,2,4] => [4,2,6,1,7,3,8,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,8,1,7,4,3] => [3,4,7,1,8,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,2,7,1,8,6,4,3] => [3,4,6,8,1,7,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[6,4,2,7,3,5,1,8] => [8,1,5,3,7,2,4,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,2,6,3,5,1,8] => [8,1,5,3,6,2,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,2,3,1,4,7] => [7,4,1,3,2,5,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,1,6,4,8,5,7] => [7,5,8,4,6,1,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,1,6,7,2,3,4,5] => [5,4,3,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[3,2,1,7,8,4,5,6] => [6,5,4,8,7,1,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,1,1] => 1
[5,8,7,2,1,3,4,6] => [6,4,3,1,2,7,8,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,5,7,2,1,3,4,6] => [6,4,3,1,2,7,5,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[5,4,2,3,8,1,6,7] => [7,6,1,8,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,2,3,1,8,6,7] => [7,6,8,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[6,4,2,1,3,8,5,7] => [7,5,8,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,2,8,3,4,6] => [6,4,3,8,2,1,5,7] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,6,1,4,8,5,7] => [7,5,8,4,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,1,8,2,3,4,5] => [5,4,3,2,8,1,6,7] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[6,8,1,7,2,3,4,5] => [5,4,3,2,7,1,8,6] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[8,1,7,6,2,3,4,5] => [5,4,3,2,6,7,1,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[1,8,7,6,2,3,4,5] => [5,4,3,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[4,3,5,6,1,2,8,7] => [7,8,2,1,6,5,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[6,4,3,5,1,2,8,7] => [7,8,2,1,5,3,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[3,4,8,6,5,7,1,2] => [2,1,7,5,6,8,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[3,1,8,2,7,6,5,4] => [4,5,6,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => 1
[2,3,8,1,6,7,5,4] => [4,5,7,6,1,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,1,3,6,5,7,4] => [4,7,5,6,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,1,8,7,2,4] => [4,2,7,8,1,6,3,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,6,2,8,7,4,1,3] => [3,1,4,7,8,2,6,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,6,5,4,7,1,3] => [3,1,7,4,5,6,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,8,6,5,7,3,4] => [4,3,7,5,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[6,5,2,1,4,3,8,7] => [7,8,3,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[5,6,3,2,4,1,8,7] => [7,8,1,4,2,3,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[5,1,7,3,8,4,6,2] => [2,6,4,8,3,7,1,5] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,7,4,3,6,5] => [5,6,3,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[2,4,1,8,7,6,5,3] => [3,5,6,7,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => 1
[3,1,4,8,6,5,7,2] => [2,7,5,6,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,1,8,7,3,4] => [4,3,7,8,1,2,6,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,5,1,1] => 1
[7,1,8,5,4,3,6,2] => [2,6,3,4,5,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,7,8,5,4,6,3] => [3,6,4,5,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[2,8,5,3,4,6,7,1] => [1,7,6,4,3,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,5,6,2,4,8,1,7] => [7,1,8,4,2,6,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,6,8,4,1,2] => [2,1,4,8,6,5,7,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,5,6,1,4,3,2] => [2,3,4,1,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,8,2,1,6,5,3,4] => [4,3,5,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[6,4,1,2,5,7,3,8] => [8,3,7,5,2,1,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,1,5,7,3,6] => [6,3,7,5,1,8,4,2] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,1,7,2,5,6] => [6,5,2,7,1,8,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,1,4,7,2,5,8] => [8,5,2,7,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,4,5,1,6,2] => [2,6,1,5,4,3,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,8,3,5,4,2,1,6] => [6,1,2,4,5,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,8,4,1,2,3,6,5] => [5,6,3,2,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[7,8,3,6,5,4,1,2] => [2,1,4,5,6,3,8,7] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,8,2,1,5,3,4,6] => [6,4,3,5,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,1,8,7,5,4,3,6] => [6,3,4,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[1,3,8,2,6,4,7,5] => [5,7,4,6,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,1,6,4,8,2] => [2,8,4,6,1,7,3,5] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,2,7,4,1,8] => [8,1,4,7,2,6,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,5,8,7,4,3] => [3,4,7,8,5,2,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,8,4,2,7,5] => [5,7,2,4,8,1,3,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,1,5,3,8,7] => [7,8,3,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,7,5,6,1,2] => [2,1,6,5,7,8,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[2,4,7,1,5,3,6,8] => [8,6,3,5,1,7,4,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,6,4,2,8,5] => [5,8,2,4,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,5,6,8,4,3] => [3,4,8,6,5,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[3,7,2,8,6,4,1,5] => [5,1,4,6,8,2,7,3] => ([(0,6),(1,5),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,7,6,4,5,2] => [2,5,4,6,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,5,7,3,6,4,2] => [2,4,6,3,7,5,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[2,7,5,8,3,6,1,4] => [4,1,6,3,8,5,7,2] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,6,8,2,4,7,3] => [3,7,4,2,8,6,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,8,5,3,1,4,7] => [7,4,1,3,5,8,6,2] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,1,4,7,3,5,8] => [8,5,3,7,4,1,6,2] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,7,3,8,4,1,2] => [2,1,4,8,3,7,6,5] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[5,2,8,1,4,7,3,6] => [6,3,7,4,1,8,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,5,2,1,3,8] => [8,3,1,2,5,7,6,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,5,6,7,2,8,1,3] => [3,1,8,2,7,6,5,4] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[4,5,7,6,1,8,3,2] => [2,3,8,1,6,7,5,4] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,5,8,6,2,7,3,4] => [4,3,7,2,6,8,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,5,8,3,2,7,4] => [4,7,2,3,8,5,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,6,5,7,1,2,8,3] => [3,8,2,1,7,5,6,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,7,5,6,3,1,8,2] => [2,8,1,3,6,5,7,4] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,3,4,2,8,7] => [7,8,2,4,3,6,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,4,2,3,8,6] => [6,8,3,2,4,1,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,6,4,3,8,1,2] => [2,1,8,3,4,6,7,5] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[6,3,4,5,8,7,1,2] => [2,1,7,8,5,4,3,6] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[6,2,4,1,8,3,7,5] => [5,7,3,8,1,4,2,6] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,3,5,4,8,1,7] => [7,1,8,4,5,3,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,1,3,4,5,8,7,2] => [2,7,8,5,4,3,1,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,1,4,2,7,6,8,3] => [3,8,6,7,2,4,1,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,4,7,8,3,5] => [5,3,8,7,4,2,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,2,4,1,6,3,8] => [8,3,6,1,4,2,7,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,4,2,8,5,3,7] => [7,3,5,8,2,4,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,8,1,4,3,2] => [2,3,4,1,8,5,7,6] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[5,8,7,6,3,4,1,2] => [2,1,4,3,6,7,8,5] => ([(0,3),(1,2),(4,7),(5,7),(6,7)],8) => [1,2,2,3] => 3
[5,8,7,6,2,3,1,4] => [4,1,3,2,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[4,1,7,2,6,5,3,8] => [8,3,5,6,2,7,1,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,1,5,6,3,7] => [7,3,6,5,1,2,8,4] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,7,8,1,6,3,5] => [5,3,6,1,8,7,2,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,1,4,7,8,2,6,5] => [5,6,2,8,7,4,1,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,7,4,5,6,8,2] => [2,8,6,5,4,7,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,3,7,5,6,8,1,2] => [2,1,8,6,5,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[4,8,1,2,5,3,7,6] => [6,7,3,5,2,1,8,4] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,6,5,2,4,1,7] => [7,1,4,2,5,6,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,5,6,1,4,7,2] => [2,7,4,1,6,5,8,3] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,3,7,8,2,1,6,4] => [4,6,1,2,8,7,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8) => [1,3,1,1,1,1] => 1
[5,2,8,7,1,6,4,3] => [3,4,6,1,7,8,2,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,6,8,7,5,2,4,3] => [3,4,2,5,7,8,6,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,6,7,8,5,1,4,2] => [2,4,1,5,8,7,6,3] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,7,6,8,5,2,1,4] => [4,1,2,5,8,6,7,3] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,7,8,5,1,2,4,6] => [6,4,2,1,5,8,7,3] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,6,4,2,5,8] => [8,5,2,4,6,1,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,8,6,2,3,5,7] => [7,5,3,2,6,8,1,4] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,6,5,3,4,8] => [8,4,3,5,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,8,1,6,4,5,3,7] => [7,3,5,4,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,7,5,1,4,3,6] => [6,3,4,1,5,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,6,7,5,1,3,4] => [4,3,1,5,7,6,8,2] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,8,6,5,4,1,3] => [3,1,4,5,6,8,7,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,3,6,7,1,2,8,4] => [4,8,2,1,7,6,3,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,4,2,3,8,1,6] => [6,1,8,3,2,4,7,5] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,3,7,1,2,4] => [4,2,1,7,3,5,8,6] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,7,4,8,1,3,6] => [6,3,1,8,4,7,5,2] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,1,8,2,5] => [5,2,8,1,7,3,6,4] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,1,6,2,4] => [4,2,6,1,8,3,5,7] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,7,5,1,2,3] => [3,2,1,5,7,4,8,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[8,7,1,4,5,3,2,6] => [6,2,3,5,4,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[7,1,8,4,2,6,5,3] => [3,5,6,2,4,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,5,7,2,8,1] => [1,8,2,7,5,4,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,2,6,3,4,5,8,1] => [1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[5,4,7,6,2,3,8,1] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,7,6,3,4,5,8,1] => [1,8,5,4,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[5,6,2,3,1,8,4,7] => [7,4,8,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,5,2,7,1,4] => [4,1,7,2,5,3,8,6] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,3,7,2,4,5] => [5,4,2,7,3,6,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,7,3,4,5,6] => [6,5,4,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[8,1,2,7,3,4,5,6] => [6,5,4,3,7,2,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[3,6,2,7,1,8,4,5] => [5,4,8,1,7,2,6,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,3,4,6,8,2,7] => [7,2,8,6,4,3,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,5,8,7,1,2] => [2,1,7,8,5,4,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,5,3,4,8,7,1,2] => [2,1,7,8,4,3,5,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[6,7,3,8,2,5,1,4] => [4,1,5,2,8,3,7,6] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,6,1,3,4,5] => [5,4,3,1,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,2,8,7,3,4,5,6] => [6,5,4,3,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[5,4,8,7,6,1,2,3] => [3,2,1,6,7,8,4,5] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => 2
[6,8,3,7,5,1,2,4] => [4,2,1,5,7,3,8,6] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,7,3,2,5,4] => [4,5,2,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,1,6,7,3,2,4,5] => [5,4,2,3,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,1,5,3,6,2,4,7] => [7,4,2,6,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,5,1,3,6,2,4,8] => [8,4,2,6,3,1,5,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,3,2,6,5,1] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,4,1,3,2,6,5,8] => [8,5,6,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,4,3,2,6,5,7] => [7,5,6,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,1,4,3,2,7,5,6] => [6,5,7,2,3,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,1,4,3,2,7,6,5] => [5,6,7,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[8,1,5,4,6,7,2,3] => [3,2,7,6,4,5,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,1,4,3,2,6,7,5] => [5,7,6,2,3,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,1,4,3,2,5,7,6] => [6,7,5,2,3,4,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[7,4,1,3,2,5,6,8] => [8,6,5,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,4,8,3,2,5,6,1] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,4,3,1,2,5,8,7] => [7,8,5,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,1,3,2,5,8,6] => [6,8,5,2,3,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,1,3,2,6,8,5] => [5,8,6,2,3,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,3,6,2,8,4] => [4,8,2,6,3,1,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,4,6,8,2,3] => [3,2,8,6,4,1,5,7] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,6,2,1,4] => [4,1,2,6,3,8,5,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,3,2,6,1,5] => [5,1,6,2,3,8,4,7] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,4,8,3,2,5,1,6] => [6,1,5,2,3,8,4,7] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,3,8,2,5,1,7] => [7,1,5,2,8,3,4,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,2,8,6,1,7] => [7,1,6,8,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,4,3,2,8,7,1,6] => [6,1,7,8,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[6,5,3,8,7,2,1,4] => [4,1,2,7,8,3,5,6] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,8,7,1,2,3] => [3,2,1,7,8,4,5,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => 2
[6,5,4,1,7,8,2,3] => [3,2,8,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,1,7,2,8,4] => [4,8,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,1,2,7,8,5] => [5,8,7,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,1,8,2,7,4] => [4,7,2,8,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,4,1,8,7,2,3] => [3,2,7,8,1,4,5,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,5,1,4,8,6,2,3] => [3,2,6,8,4,1,5,7] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,1,3,2,8,6,5] => [5,6,8,2,3,1,4,7] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,3,1,2,8,5,7] => [7,5,8,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,3,1,2,7,5,8] => [8,5,7,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,8,7,2,4,1] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,5,3,1,7,2,4,8] => [8,4,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,1,8,2,4,7] => [7,4,2,8,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,3,8,2,4,6] => [6,4,2,8,3,1,5,7] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,1,8,3,2,4,5] => [5,4,2,3,8,1,6,7] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,6,1,8,4,5,2,3] => [3,2,5,4,8,1,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,6,8,1,4,5,2,3] => [3,2,5,4,1,8,6,7] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[7,6,8,1,3,2,5,4] => [4,5,2,3,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[6,5,3,7,8,2,4,1] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,4,3,7,2,1,5,8] => [8,5,1,2,7,3,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,3,2,1,5,6] => [6,5,1,2,3,8,4,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,4,8,3,2,1,6,5] => [5,6,1,2,3,8,4,7] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[7,5,8,3,1,2,6,4] => [4,6,2,1,3,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,4,1,6,2,3] => [3,2,6,1,4,8,5,7] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,8,1,7,2,3] => [3,2,7,1,8,4,5,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,5,3,8,1,2,7,4] => [4,7,2,1,8,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,3,1,1,1,1] => 1
[5,4,3,2,8,1,7,6] => [6,7,1,8,2,3,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[6,4,3,7,2,1,8,5] => [5,8,1,2,7,3,4,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,7,1,2,8,4] => [4,8,2,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,4,7,1,8,2,3] => [3,2,8,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,7,8,2,1,4] => [4,1,2,8,7,3,5,6] => ([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,7,2,8,1,5] => [5,1,8,2,7,3,4,6] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,2,7,8,1,6] => [6,1,8,7,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,3,1,1] => 1
[5,4,3,2,6,8,1,7] => [7,1,8,6,2,3,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,1,7,8,4,3,5,6] => [6,5,3,4,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[7,8,1,2,5,4,6,3] => [3,6,4,5,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[4,7,2,8,1,3,6,5] => [5,6,3,1,8,2,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,3,8,6,1,2,5,4] => [4,5,2,1,6,8,3,7] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,4,3,5,6,8] => [8,6,5,3,4,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,7,2,5,3,4,6,8] => [8,6,4,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,8,2,5,3,4,6,7] => [7,6,4,3,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,8,2,6,3,4,5,7] => [7,5,4,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,7,2,6,3,4,5,8] => [8,5,4,3,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,8,2,7,3,5,4,6] => [6,4,5,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,2,8,3,5,4,7] => [7,4,5,3,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,7,3,6,5,8] => [8,5,6,3,7,2,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,8,2,6,3,5,4,7] => [7,4,5,3,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,2,5,3,6,4,7] => [7,4,6,3,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,7,2,3,4,6,5,8] => [8,5,6,4,3,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,8,2,3,4,7,5,6] => [6,5,7,4,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,8,2,5,3,7,4,6] => [6,4,7,3,5,2,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,8,3,7,4,6] => [6,4,7,3,8,2,5,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,7,3,6,4,5] => [5,4,6,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,2,5,1,8] => [8,1,5,2,7,3,6,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,7,5,3,1,8] => [8,1,3,5,7,2,6,4] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,8,4,3,1,2,7] => [7,2,1,3,4,8,6,5] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,7,8,4,1,6,2,3] => [3,2,6,1,4,8,7,5] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,8,4,1,6,3,2] => [2,3,6,1,4,8,7,5] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,6,8,5,1,7,4] => [4,7,1,5,8,6,2,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,6,8,5,1,4,7] => [7,4,1,5,8,6,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,7,8,1,6,5,4] => [4,5,6,1,8,7,2,3] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[6,7,8,1,4,5,2,3] => [3,2,5,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,2] => 2
[3,2,6,8,4,1,7,5] => [5,7,1,4,8,6,2,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,8,3,1,7,5] => [5,7,1,3,8,2,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,3,1,6,4,2] => [2,4,6,1,3,8,7,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,8,2,1,7,5] => [5,7,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[4,5,3,2,8,1,7,6] => [6,7,1,8,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[4,5,3,2,8,1,6,7] => [7,6,1,8,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,6,3,8,2,1,5,7] => [7,5,1,2,8,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,3,1,2,6,4] => [4,6,2,1,3,8,7,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[5,6,8,3,2,1,4,7] => [7,4,1,2,3,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,8,1,4,3,2,5] => [5,2,3,4,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[6,7,8,1,2,5,4,3] => [3,4,5,2,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[6,7,8,1,3,2,5,4] => [4,5,2,3,1,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[6,2,3,8,5,1,7,4] => [4,7,1,5,8,3,2,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,8,5,1,4,7] => [7,4,1,5,8,2,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,3,7,1,5,6,8,2] => [2,8,6,5,1,7,3,4] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,1,8,7,6,3,4] => [4,3,6,7,8,1,2,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,2,4,7,8,6,1,5] => [5,1,6,8,7,4,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,3,5,1,8,2,7,4] => [4,7,2,8,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,6,8,5,7,2] => [2,7,5,8,6,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,4,6,1,7,8,3] => [3,8,7,1,6,4,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,1,4,3,6,5,8] => [8,5,6,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[7,3,4,1,2,6,5,8] => [8,5,6,2,1,4,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,4,3,2,1,6,5,8] => [8,5,6,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,7,3,2,5,4,8,1] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[1,8,3,2,5,4,7,6] => [6,7,4,5,2,3,8,1] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,8,4,5,2,3,7,6] => [6,7,3,2,5,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,3,5,1,6,2,4,8] => [8,4,2,6,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,2,1,5,6,3,4,8] => [8,4,3,6,5,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,2,1,6,5,4,3,8] => [8,3,4,5,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,3,6,1,5,4,2,8] => [8,2,4,5,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,6,5,1,3,2,8] => [8,2,3,1,5,6,4,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,8,5,4,3,2,7,6] => [6,7,2,3,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,6,4,3,7,2,5] => [5,2,7,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,8,4,3,6,5,1] => [1,5,6,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,7,8,5,6,3,4,1] => [1,4,3,6,5,8,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,2,2] => 2
[2,4,8,6,1,7,3,5] => [5,3,7,1,6,8,4,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,1,6,8,4,2] => [2,4,8,6,1,7,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,7,6,1,8,3,2] => [2,3,8,1,6,7,4,5] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,7,6,8,1,3,2] => [2,3,1,8,6,7,5,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[1,8,6,5,7,3,2,4] => [4,2,3,7,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[4,6,5,7,8,2,1,3] => [3,1,2,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,4,6,7,1,8,2,3] => [3,2,8,1,7,6,4,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,3,6,1,7,8,2,4] => [4,2,8,7,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,5,1,7,2,8,4] => [4,8,2,7,1,5,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,4,7,2,8,1,3] => [3,1,8,2,7,4,6,5] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,6,2,7,3,5] => [5,3,7,2,6,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,3,2,6,7,4,5] => [5,4,7,6,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,5,3,2,7,1,8,4] => [4,8,1,7,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,2,1,7,8,5] => [5,8,7,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,6,3,2,8,7,1,5] => [5,1,7,8,2,3,6,4] => ([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,3,2,7,6,5,4] => [4,5,6,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,4,7,2,6,5,3] => [3,5,6,2,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,8,2,7,1,5] => [5,1,7,2,8,4,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,8,1,7,2,5] => [5,2,7,1,8,6,4,3] => ([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,6,8,7,1,2,4] => [4,2,1,7,8,6,5,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,6,5,8,7,2,1,4] => [4,1,2,7,8,5,6,3] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,5,7,6,2,4,3] => [3,4,2,6,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,5,7,8,6,1,4,2] => [2,4,1,6,8,7,5,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,1,7,8,6,5,3] => [3,5,6,8,7,1,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[2,3,8,1,7,6,5,4] => [4,5,6,7,1,8,3,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,4,8,7,1,6,5,3] => [3,5,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,3,1,8,4,2] => [2,4,8,1,3,5,7,6] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,4,2,6,7,5,3] => [3,5,7,6,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,1,7,5,8,3] => [3,8,5,7,1,6,4,2] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,3,2,7,6,8,5] => [5,8,6,7,2,3,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[4,2,1,3,7,6,8,5] => [5,8,6,7,3,1,2,4] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[7,4,8,2,5,9,1,3,6,10] => [10,6,3,1,9,5,2,8,4,7] => ([(0,3),(0,8),(0,9),(1,2),(1,7),(1,9),(2,5),(2,7),(2,9),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10) => [1,1,1,1,1,1,1,1,1,1] => 1
[8,1,3,4,2,6,7,5] => [5,7,6,2,4,3,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,7,8,3,4,5,6,1] => [1,6,5,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[6,3,2,1,4,5,8,7] => [7,8,5,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[7,3,1,4,2,6,8,5] => [5,8,6,2,4,1,3,7] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,1,5,6,8,2,3] => [3,2,8,6,5,1,4,7] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,8,5,6,1,2,3] => [3,2,1,6,5,8,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,4,1,2] => 2
[3,7,8,5,6,2,1,4] => [4,1,2,6,5,8,7,3] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,7,8,4,2,6,1,5] => [5,1,6,2,4,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,8,2,4,5,1,6] => [6,1,5,4,2,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,2,8,4,5,1,7] => [7,1,5,4,8,2,6,3] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,6,7,4,5,8,1] => [1,8,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[3,5,2,4,8,6,1,7] => [7,1,6,8,4,2,5,3] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,4,2,8,7,1,6] => [6,1,7,8,2,4,5,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,5,8,7,1,2,3] => [3,2,1,7,8,5,6,4] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[6,4,5,1,7,8,2,3] => [3,2,8,7,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,4,1,2,3,8,5,6] => [6,5,8,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[6,2,4,1,3,7,5,8] => [8,5,7,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,8,3,7,5,1] => [1,5,7,3,8,4,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[2,6,5,8,7,3,4,1] => [1,4,3,7,8,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[6,2,5,1,7,3,4,8] => [8,4,3,7,1,5,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,1,8,3,4,7] => [7,4,3,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,6,7,8,3,4,1] => [1,4,3,8,7,6,5,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[4,2,6,7,3,1,5,8] => [8,5,1,3,7,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,8,2,3,1,5,6] => [6,5,1,3,2,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,7,8,3,2,1,6,5] => [5,6,1,2,3,8,7,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,6,4,8,1,7,2,3] => [3,2,7,1,8,4,6,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[4,2,5,3,7,1,6,8] => [8,6,1,7,3,5,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,7,2,1,8,5] => [5,8,1,2,7,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[3,4,6,7,2,8,1,5] => [5,1,8,2,7,6,4,3] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,5,2,7,8,1,6] => [6,1,8,7,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[3,4,2,5,6,8,1,7] => [7,1,8,6,5,2,4,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,2,7,8,6,4,1,3] => [3,1,4,6,8,7,2,5] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,8,1,2,7,5,3] => [3,5,7,2,1,8,6,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,3,6,5,2,4] => [4,2,5,6,3,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,3,6,5,2,1,4] => [4,1,2,5,6,3,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,7,2,8,6,1,5,3] => [3,5,1,6,8,2,7,4] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,4,8,6,5,2] => [2,5,6,8,4,3,7,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,3,7,4,5,2] => [2,5,4,7,3,8,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,8,3,4,7,5,2] => [2,5,7,4,3,8,6,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,1,7,3,5,4] => [4,5,3,7,1,2,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,5,3,4,6,2] => [2,6,4,3,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,8,7,3,5,4,6,2] => [2,6,4,5,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[5,8,4,7,2,1,6,3] => [3,6,1,2,7,4,8,5] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,5,4,3,6,2] => [2,6,3,4,5,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,6,8,4,3,7,5,2] => [2,5,7,3,4,8,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,8,4,1,7,2,6,3] => [3,6,2,7,1,4,8,5] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,1,6,2,3] => [3,2,6,1,7,4,8,5] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(3,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,6,5,7,4,3] => [3,4,7,5,6,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[4,8,5,7,1,6,2,3] => [3,2,6,1,7,5,8,4] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,4,5,3,6,2] => [2,6,3,5,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,8,7,4,3,5,6,2] => [2,6,5,3,4,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,8,7,3,4,5,6,2] => [2,6,5,4,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,3,1] => 1
[6,3,1,5,4,2,8,7] => [7,8,2,4,5,1,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,5,1,4,8,7] => [7,8,4,1,5,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,5,3,7,6,4] => [4,6,7,3,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,4,3,1,7,2,6] => [6,2,7,1,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[8,3,1,7,6,5,4,2] => [2,4,5,6,7,1,3,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[8,3,1,7,6,5,2,4] => [4,2,5,6,7,1,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[2,1,8,5,4,7,3,6] => [6,3,7,4,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,1,7,8,5,3] => [3,5,8,7,1,4,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,1,2,8,5,3,7] => [7,3,5,8,2,1,4,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,1,5,8,6,2,4] => [4,2,6,8,5,1,3,7] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,5,2,3,1,8,6] => [6,8,1,3,2,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[7,3,5,2,4,1,8,6] => [6,8,1,4,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,5,2,4,1,8,7] => [7,8,1,4,2,5,3,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[7,3,4,1,5,2,8,6] => [6,8,2,5,1,4,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,6,7,4,5,2] => [2,5,4,7,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,1,8,5,7,4,6,2] => [2,6,4,7,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,5,7,4,6,3] => [3,6,4,7,5,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[4,1,7,3,6,2,8,5] => [5,8,2,6,3,7,1,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,7,3,5,1,8,4] => [4,8,1,5,3,7,2,6] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,3,1,8,5,7,4] => [4,7,5,8,1,3,2,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,4,1,8,6,7,3] => [3,7,6,8,1,4,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,1,8,4,6,2,7,3] => [3,7,2,6,4,8,1,5] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,7,4,8,5,6,2] => [2,6,5,8,4,7,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,4,7,2,5,6] => [6,5,2,7,4,8,3,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,4,7,2,5,8] => [8,5,2,7,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,2,5,7,3,8] => [8,3,7,5,2,1,6,4] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,8,2,5,7,3,6] => [6,3,7,5,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,4,5,6,1,3] => [3,1,6,5,4,2,8,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,8,1,5,4,6,3,2] => [2,3,6,4,5,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,8,2,1,6,3,4,5] => [5,4,3,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[7,8,1,4,2,3,6,5] => [5,6,3,2,4,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,5,8,4,3,2,7,6] => [6,7,2,3,4,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,6,1,4,3,2,7,8] => [8,7,2,3,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,6,4,8,3,7,1,5] => [5,1,7,3,8,4,6,2] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,8,3,7,5,2] => [2,5,7,3,8,6,4,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,5,3,1,6,7] => [7,6,1,3,5,8,4,2] => ([(0,5),(0,6),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,1,4,7,6,3] => [3,6,7,4,1,8,5,2] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,2,4,7,3,8,5] => [5,8,3,7,4,2,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,1,4,7,8,3] => [3,8,7,4,1,2,6,5] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,2,5,3,1,8,7] => [7,8,1,3,5,2,6,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,1,3,6,8,2] => [2,8,6,3,1,5,7,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,2,4,1,8] => [8,1,4,2,6,3,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[5,7,3,6,1,4,8,2] => [2,8,4,1,6,3,7,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,7,2,1,8,4] => [4,8,1,2,7,6,3,5] => ([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,7,5,2,4,8,3] => [3,8,4,2,5,7,1,6] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,2,4,5,8,7] => [7,8,5,4,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[1,4,7,2,5,3,8,6] => [6,8,3,5,2,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,8,3,5,1,2] => [2,1,5,3,8,7,6,4] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,6,1,8,4,2,5,7] => [7,5,2,4,8,1,6,3] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,5,8,2,4,3] => [3,4,2,8,5,7,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,5,6,7,8,1,4,2] => [2,4,1,8,7,6,5,3] => ([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,6,5,7,8,2,1,4] => [4,1,2,8,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,2,7,6,1,4,3,8] => [8,3,4,1,6,7,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,5,7,6,8,1,3,4] => [4,3,1,8,6,7,5,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,7,5,6,8,4,1,3] => [3,1,4,8,6,5,7,2] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,8,4,5,3,7] => [7,3,5,4,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,1,8,5,3,4,6] => [6,4,3,5,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,6,8,5,4,1,2] => [2,1,4,5,8,6,7,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[4,3,8,5,6,7,1,2] => [2,1,7,6,5,8,3,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[4,2,8,1,6,3,7,5] => [5,7,3,6,1,8,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,5,4,6,7,2] => [2,7,6,4,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[3,2,8,4,5,6,1,7] => [7,1,6,5,4,8,2,3] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,2,8,6,1,7,5] => [5,7,1,6,8,2,4,3] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,4,7,1,5,2,6,8] => [8,6,2,5,1,7,4,3] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,8,1,2,6,5] => [5,6,2,1,8,7,3,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,5,1,1] => 1
[1,7,3,8,5,2,6,4] => [4,6,2,5,8,3,7,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,8,3,6,2,5,7] => [7,5,2,6,3,8,1,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,6,3,2,1,4] => [4,1,2,3,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[5,7,8,6,1,3,4,2] => [2,4,3,1,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,6,5,8,1,3,4,2] => [2,4,3,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[1,6,4,3,8,2,5,7] => [7,5,2,8,3,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,4,8,2,6,5] => [5,6,2,8,4,3,1,7] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,5,4,1,2,7,8] => [8,7,2,1,4,5,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,4,5,1,7,8,6,3] => [3,6,8,7,1,5,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,6,3,4,5,8,1,7] => [7,1,8,5,4,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,6,4,1,8,3,7,5] => [5,7,3,8,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,1,4,8,3,5,6] => [6,5,3,8,4,1,2,7] => ([(0,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,6,5,3,8,4,2] => [2,4,8,3,5,6,1,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,5,6,3,8,1,4] => [4,1,8,3,6,5,2,7] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,2,7,1,8,4,3] => [3,4,8,1,7,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,6,2,7,3,1,4,8] => [8,4,1,3,7,2,6,5] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,6,7,4,2,8,1,3] => [3,1,8,2,4,7,6,5] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,7,6,4,1,8,3,2] => [2,3,8,1,4,6,7,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,1,5,2,8,3,4] => [4,3,8,2,5,1,7,6] => ([(0,1),(0,6),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,2,4,8,3,6] => [6,3,8,4,2,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,5,2,8,3,4,7] => [7,4,3,8,2,5,1,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,4,2,3,8,7] => [7,8,3,2,4,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[7,1,5,3,4,2,8,6] => [6,8,2,4,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,6,1,5,3,2,8,4] => [4,8,2,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,6,4,1,2,8,3] => [3,8,2,1,4,6,5,7] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,5,4,3,1,8,2] => [2,8,1,3,4,5,7,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,5,2,4,3,1,6,8] => [8,6,1,3,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,6,1,2,5,3,8] => [8,3,5,2,1,6,4,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,2,5,3,6,8] => [8,6,3,5,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,8,1,4,2,5,7,3] => [3,7,5,2,4,1,8,6] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,3,7,5,4,2] => [2,4,5,7,3,1,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,1,3,5,6,4,2,8] => [8,2,4,6,5,3,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,6,4,5,2,8] => [8,2,5,4,6,1,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,6,5,1,3,8] => [8,3,1,5,6,2,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,2,4,1,5,3,6,8] => [8,6,3,5,1,4,2,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,5,4,1,6,8] => [8,6,1,4,5,3,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,8,1,2,3,4,7,5] => [5,7,4,3,2,1,8,6] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,5,7,2,3,8,6,4] => [4,6,8,3,2,7,5,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,2,3,6,7,4] => [4,7,6,3,2,8,1,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,8,1,3,7,4,5] => [5,4,7,3,1,8,2,6] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,3,5,4,7,1] => [1,7,4,5,3,2,8,6] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,2,4,1,5,7,3] => [3,7,5,1,4,2,8,6] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,1,2,4,7,5] => [5,7,4,2,1,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,1,5,7,3,8] => [8,3,7,5,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,5,7,1,4,8] => [8,4,1,7,5,3,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,1,7,8,3,6,4] => [4,6,3,8,7,1,5,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,4,7,8,5,6,3] => [3,6,5,8,7,4,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,4,7,6,8,5,1,3] => [3,1,5,8,6,7,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,3,7,6,1,8,4] => [4,8,1,6,7,3,5,2] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,7,8,1,4,6,3] => [3,6,4,1,8,7,5,2] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,5,7,4,1,6,2,8] => [8,2,6,1,4,7,5,3] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,1,8,6,7,2] => [2,7,6,8,1,4,3,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,8,4,6,1,7,3] => [3,7,1,6,4,8,2,5] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,1,8,6,3,7,4] => [4,7,3,6,8,1,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,7,5,8,6,3] => [3,6,8,5,7,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,8,6,7,5,3,2] => [2,3,5,7,6,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,8,7,6,2,4,1] => [1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => 2
[5,8,7,4,3,6,1,2] => [2,1,6,3,4,7,8,5] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,4,8,3,1,7,2,5] => [5,2,7,1,3,8,4,6] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,8,7,1,3,5] => [5,3,1,7,8,2,4,6] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,8,7,2,5,1,4] => [4,1,5,2,7,8,3,6] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,7,1,6,4,2] => [2,4,6,1,7,3,8,5] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,3,8,6,7,2,4] => [4,2,7,6,8,3,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,7,8,6,2,4] => [4,2,6,8,7,3,5,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,6,4,2,8,3] => [3,8,2,4,6,7,5,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,4,1,6,2,3] => [3,2,6,1,4,7,8,5] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,8,1,2,7,3,5] => [5,3,7,2,1,8,4,6] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,1,2,3,7,4] => [4,7,3,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,8,5,3,1,2,7,4] => [4,7,2,1,3,5,8,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,2,7,6,3,8] => [8,3,6,7,2,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,1,2,6,8,7,3] => [3,7,8,6,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,6,1,8,4,7,2] => [2,7,4,8,1,6,5,3] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,1,2,8,6,4] => [4,6,8,2,1,7,5,3] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,2,7,5,1,4,8] => [8,4,1,5,7,2,6,3] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,7,3,5,8] => [8,5,3,7,1,6,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,1,2,7,5,8] => [8,5,7,2,1,3,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,1,7,6,2,8] => [8,2,6,7,1,3,5,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,2,7,8,1,6,4] => [4,6,1,8,7,2,5,3] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,4,7,5,6,2,8] => [8,2,6,5,7,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,5,8,7,1,2] => [2,1,7,8,5,6,4,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[3,1,4,5,8,6,7,2] => [2,7,6,8,5,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,2,5,6,1,8,7,3] => [3,7,8,1,6,5,2,4] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,1,6,8,7,2] => [2,7,8,6,1,3,5,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,1,7,5,8,6,4,3] => [3,4,6,8,5,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[4,1,2,7,3,8,6,5] => [5,6,8,3,7,2,1,4] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,1,7,5,2,3,8] => [8,3,2,5,7,1,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,7,5,2,4,8] => [8,4,2,5,7,3,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,2,6,8,5,4,7] => [7,4,5,8,6,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,2,5,4,8,6] => [6,8,4,5,2,1,7,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,7,8,6,5,3] => [3,5,6,8,7,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,7,5,1,8,6,2] => [2,6,8,1,5,7,4,3] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,4,1,5,8,6,3] => [3,6,8,5,1,4,7,2] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,7,1,5,8,6,4] => [4,6,8,5,1,7,3,2] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,8,1,3,7,4,6] => [6,4,7,3,1,8,2,5] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,8,3,1,5,7,4] => [4,7,5,1,3,8,6,2] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,4,5,1,8,2] => [2,8,1,5,4,7,3,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,7,5,8,1,4] => [4,1,8,5,7,3,6,2] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,2,3,6,8,1,5] => [5,1,8,6,3,2,7,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,4,6,2,8,1,3] => [3,1,8,2,6,4,7,5] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,4,6,1,7,2] => [2,7,1,6,4,8,3,5] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,8,3,6,7,1,5] => [5,1,7,6,3,8,2,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,1,7,3,5,6] => [6,5,3,7,1,8,4,2] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,1,7,2,5,6] => [6,5,2,7,1,3,8,4] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,3,1,6,2] => [2,6,1,3,7,4,8,5] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,8,2,7,1,5,4] => [4,5,1,7,2,8,3,6] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,8,2,4,7,5] => [5,7,4,2,8,1,3,6] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,1,6,2,3,8] => [8,3,2,6,1,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,4,2,7,3,6] => [6,3,7,2,4,8,1,5] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,8,5,3,7,4] => [4,7,3,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,4,5,1,2,6,3,7] => [7,3,6,2,1,5,4,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,6,3,7,1,2,4,8] => [8,4,2,1,7,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,3,7,2,8,4,5] => [5,4,8,2,7,3,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,7,8,5,1,4] => [4,1,5,8,7,2,3,6] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,8,3,1,6,2] => [2,6,1,3,8,7,5,4] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,2,5,8,1,6,3] => [3,6,1,8,5,2,7,4] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,3,4,6,2,5,7] => [7,5,2,6,4,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,8,2,4,6,7,1,5] => [5,1,7,6,4,2,8,3] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,5,6,8,1,7,3] => [3,7,1,8,6,5,4,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,8,3,5,6,1,7,2] => [2,7,1,6,5,3,8,4] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,3,4,1,2,6] => [6,2,1,4,3,7,8,5] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,8,7,3,4,1,2,5] => [5,2,1,4,3,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[6,8,4,7,1,5,3,2] => [2,3,5,1,7,4,8,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,8,7,2,6,3,1] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,4,8,7,1,6,3,2] => [2,3,6,1,7,8,4,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,7,6,1,2,5] => [5,2,1,6,7,8,3,4] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,8,3,7,5,1,2,6] => [6,2,1,5,7,3,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,3,4,6,5,1,2,7] => [7,2,1,5,6,4,3,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,8,4,7,5,1,2,6] => [6,2,1,5,7,4,8,3] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,7,6,1,2,5] => [5,2,1,6,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,5,8,7,6,1,2,3] => [3,2,1,6,7,8,5,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,5,8,1,7,6,4,3] => [3,4,6,7,1,8,5,2] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,7,1,6,3,4] => [4,3,6,1,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,8,7,1,6,3,5] => [5,3,6,1,7,8,4,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,7,1,5,3,6] => [6,3,5,1,7,4,8,2] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,4,6,2,5,3,7] => [7,3,5,2,6,4,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,5,8,7,2,6,3,4] => [4,3,6,2,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,2,7,6,4,3] => [3,4,6,7,2,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,8,7,6,5,3] => [3,5,6,7,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,3,8,2,7,6,4,5] => [5,4,6,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,3,1,7,5,4,6] => [6,4,5,7,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,8,7,6,5,2] => [2,5,6,7,8,1,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[4,2,1,8,7,6,5,3] => [3,5,6,7,8,1,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[8,3,2,1,6,5,4,7] => [7,4,5,6,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[8,4,2,6,1,5,3,7] => [7,3,5,1,6,2,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[4,2,8,7,1,6,3,5] => [5,3,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,2,8,1,7,6,4,3] => [3,4,6,7,1,8,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,2,7,5,4,1] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,8,2,7,1,5,3,4] => [4,3,5,1,7,2,8,6] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,1,2,4,3,6] => [6,3,4,2,1,7,8,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,1,8,3,7,6,4,2] => [2,4,6,7,3,8,1,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,7,2,5,3,6] => [6,3,5,2,7,1,8,4] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,2,7,5,4,6] => [6,4,5,7,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[3,1,8,2,7,6,4,5] => [5,4,6,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[4,1,3,8,7,6,5,2] => [2,5,6,7,8,3,1,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,1,4,8,7,6,5,2] => [2,5,6,7,8,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,2,3,7,5,4,6] => [6,4,5,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,2,8,3,7,6,4,5] => [5,4,6,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,1,6,2,5,8,4,7] => [7,4,8,5,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,2,8,3,7,6] => [6,7,3,8,2,5,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,2,6,8,3,7] => [7,3,8,6,2,4,5,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,6,5,4,8,3,7] => [7,3,8,4,5,6,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,2,5,4,7,3,8,6] => [6,8,3,7,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,2,5,1,8,3,4,6] => [6,4,3,8,1,5,2,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,4,2,8,3,7,5] => [5,7,3,8,2,4,6,1] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,5,3,8,7,6,4] => [4,6,7,8,3,5,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,7,6,4,2,8,3,5] => [5,3,8,2,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,8,5,3,6,4] => [4,6,3,5,8,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,2,8,6,3,5] => [5,3,6,8,2,4,7,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,4,5,3,6,7,2] => [2,7,6,3,5,4,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,8,1,6,3,4,2,5] => [5,2,4,3,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,7,6,5,4,2,3,8] => [8,3,2,4,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[3,2,1,7,6,4,5,8] => [8,5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[5,1,7,3,6,2,4,8] => [8,4,2,6,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,7,5,3,2,4,8] => [8,4,2,3,5,7,1,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,6,5,2,4,3,8] => [8,3,4,2,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,2,7,6,3,4,5,8] => [8,5,4,3,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,8,3,7,4,5,6] => [6,5,4,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[7,1,8,2,6,4,3,5] => [5,3,4,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,7,1,6,5,3] => [3,5,6,1,7,2,8,4] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,2,1,6,4,3] => [3,4,6,1,2,7,8,5] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,2,6,5,3,4] => [4,3,5,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,5,8,3,1,4,6,2] => [2,6,4,1,3,8,5,7] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,2,3,6,7,8] => [8,7,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[6,5,1,4,3,2,7,8] => [8,7,2,3,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[7,6,1,2,5,4,3,8] => [8,3,4,5,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,7,2,3,6,4,5,8] => [8,5,4,6,3,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[8,7,1,2,3,6,5,4] => [4,5,6,3,2,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[6,1,2,3,5,4,7,8] => [8,7,4,5,3,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[6,7,4,5,1,8,3,2] => [2,3,8,1,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,4,7,6,8,1,2,3] => [3,2,1,8,6,7,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[5,3,7,8,6,1,2,4] => [4,2,1,6,8,7,3,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[3,5,6,1,7,8,4,2] => [2,4,8,7,1,6,5,3] => ([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,6,1,8,7,4,3] => [3,4,7,8,1,6,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,6,8,1,7,3,4] => [4,3,7,1,8,6,5,2] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,8,6,2,3,7,5] => [5,7,3,2,6,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,6,8,2,3,7,4] => [4,7,3,2,8,6,5,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,5,6,3,4,7,8,1] => [1,8,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,8,3,1,5,7,4,6] => [6,4,7,5,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,7,6,8,5,2] => [2,5,8,6,7,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,7,2,6,4,8,1] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[6,7,2,1,8,5,4,3] => [3,4,5,8,1,2,7,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,7,2,8,1,5,3,4] => [4,3,5,1,8,2,7,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[6,7,1,3,4,8,5,2] => [2,5,8,4,3,1,7,6] => ([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,3,4,8,6,2] => [2,6,8,4,3,7,1,5] => ([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,8,2,3,6,4] => [4,6,3,2,8,7,1,5] => ([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,8,7,2,3,6,5] => [5,6,3,2,7,8,1,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,3,7,5,8,6,2] => [2,6,8,5,7,3,1,4] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,3,4,7,6,5] => [5,6,7,4,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[1,2,8,3,4,6,7,5] => [5,7,6,4,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[5,2,6,4,1,8,7,3] => [3,7,8,1,4,6,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,4,2,8,7,3] => [3,7,8,2,4,6,1,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,8,3,6,2] => [2,6,3,8,4,7,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,3,8,5,2,1,4] => [4,1,2,5,8,3,7,6] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,2,1,8,3,6,4] => [4,6,3,8,1,2,7,5] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,2,7,1,8,4,6,3] => [3,6,4,8,1,7,2,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,7,8,6,5,3] => [3,5,6,8,7,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,7,3,8,6,4,2] => [2,4,6,8,3,7,5,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,7,8,2,5,4,3] => [3,4,5,2,8,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,7,6,4,5,2,8,1] => [1,8,2,5,4,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,7,6,5,3,4,8,1] => [1,8,4,3,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[1,6,5,3,4,8,2,7] => [7,2,8,4,3,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,6,3,7,5,2,4] => [4,2,5,7,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,7,3,5,6,4] => [4,6,5,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,3,7,2,6,5] => [5,6,2,7,3,1,8,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[7,6,1,8,4,3,2,5] => [5,2,3,4,8,1,6,7] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,2,7,3,4,6,5] => [5,6,4,3,7,2,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[5,4,2,7,1,8,3,6] => [6,3,8,1,7,2,4,5] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,1,6,8,2,7] => [7,2,8,6,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,4,8,2,7,3,1] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => 2
[5,4,8,1,7,2,6,3] => [3,6,2,7,1,8,4,5] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,3,8,7,4,5,6,1] => [1,6,5,4,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,1,8,7,5,6,3,4] => [4,3,6,5,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[8,1,7,6,5,2,4,3] => [3,4,2,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[1,2,8,7,6,3,4,5] => [5,4,3,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[3,8,7,6,4,5,2,1] => [1,2,5,4,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[1,8,7,6,5,4,2,3] => [3,2,4,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[3,8,6,7,4,5,1,2] => [2,1,5,4,7,6,8,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[2,8,6,7,4,5,1,3] => [3,1,5,4,7,6,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,8,6,7,4,5,2,3] => [3,2,5,4,7,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[1,8,5,7,4,6,2,3] => [3,2,6,4,7,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,8,3,7,4,5,1,2] => [2,1,5,4,7,3,8,6] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,7,3,8,5,6,1,2] => [2,1,6,5,8,3,7,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,7,1,8,5,6,2,3] => [3,2,6,5,8,1,7,4] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,8,5,6,2,4] => [4,2,6,5,8,1,7,3] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,3,8,5,6,1,4] => [4,1,6,5,8,3,7,2] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,2,7,4,6,1,3] => [3,1,6,4,7,2,8,5] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,7,4,5,1,3] => [3,1,5,4,7,2,8,6] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,6,4,5,2,3] => [3,2,5,4,6,1,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[6,8,1,7,4,5,2,3] => [3,2,5,4,7,1,8,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,8,1,7,4,6,2,3] => [3,2,6,4,7,1,8,5] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,8,5,6,2,3] => [3,2,6,5,8,4,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,8,5,6,2,4] => [4,2,6,5,8,3,7,1] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,5,6,1,7,3,4] => [4,3,7,1,6,5,8,2] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,5,6,2,7,3,4] => [4,3,7,2,6,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,7,3,8,4,6,2,5] => [5,2,6,4,8,3,7,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,7,3,6,2,5] => [5,2,6,3,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,1,7,3,6,2,4] => [4,2,6,3,7,1,8,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,7,3,5,2,4] => [4,2,5,3,7,1,8,6] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,7,3,5,1,4] => [4,1,5,3,7,2,8,6] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,2,7,3,6,1,4] => [4,1,6,3,7,2,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,7,3,6,1,5] => [5,1,6,3,7,2,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,8,4,6,2,5] => [5,2,6,4,8,1,7,3] => ([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,7,3,6,2,5] => [5,2,6,3,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,7,3,6,1,5] => [5,1,6,3,7,4,8,2] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,4,7,2,6,1,5] => [5,1,6,2,7,4,8,3] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,5,7,2,6,1,3] => [3,1,6,2,7,5,8,4] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,5,7,2,6,1,4] => [4,1,6,2,7,5,8,3] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,5,7,3,6,1,4] => [4,1,6,3,7,5,8,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,7,3,6,2,4] => [4,2,6,3,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,7,3,5,2,4] => [4,2,5,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[2,8,6,7,3,5,1,4] => [4,1,5,3,7,6,8,2] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,6,7,2,5,1,4] => [4,1,5,2,7,6,8,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,8,6,7,2,5,1,3] => [3,1,5,2,7,6,8,4] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[5,8,6,7,1,4,2,3] => [3,2,4,1,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[4,8,6,7,1,5,2,3] => [3,2,5,1,7,6,8,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[3,8,6,7,1,5,2,4] => [4,2,5,1,7,6,8,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,8,6,7,3,4] => [4,3,7,6,8,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,1,8,6,7,3,4] => [4,3,7,6,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,8,5,7,3,4] => [4,3,7,5,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,5,7,1,6,2,4] => [4,2,6,1,7,5,8,3] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,7,1,5,2,3] => [3,2,5,1,7,4,8,6] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,4,6,1,5,2,3] => [3,2,5,1,6,4,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,3,7,1,5,2,4] => [4,2,5,1,7,3,8,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,1,6,2,5] => [5,2,6,1,7,3,8,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,8,4,7,1,6,2,5] => [5,2,6,1,7,4,8,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,8,4,7,3,5] => [5,3,7,4,8,2,6,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,1,8,4,7,3,5] => [5,3,7,4,8,1,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,6,2,8,4,5] => [5,4,8,2,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,5,1,6,3,4] => [4,3,6,1,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,2,5,1,7,3,4] => [4,3,7,1,5,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,2,6,1,7,3,4] => [4,3,7,1,6,2,8,5] => ([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,8,2,6,1,7,3,5] => [5,3,7,1,6,2,8,4] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,6,2,8,4,5] => [5,4,8,2,6,3,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,3,6,1,8,4,5] => [5,4,8,1,6,3,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,8,3,5,1,2] => [2,1,5,3,8,4,7,6] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,7,4,5,2,8,1,3] => [3,1,8,2,5,4,7,6] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,4,6,2,3,1,8] => [8,1,3,2,6,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[5,6,4,8,3,7,1,2] => [2,1,7,3,8,4,6,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[5,6,3,7,2,4,1,8] => [8,1,4,2,7,3,6,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,3,7,2,8,1,4] => [4,1,8,2,7,3,6,5] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,3,8,2,7,1,4] => [4,1,7,2,8,3,6,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[5,6,4,8,2,7,1,3] => [3,1,7,2,8,4,6,5] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,6,2,7,1,3] => [3,1,7,2,6,4,8,5] => ([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,5,2,7,1,3] => [3,1,7,2,5,4,8,6] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,4,5,2,6,1,3] => [3,1,6,2,5,4,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,4,5,2,3,1,7] => [7,1,3,2,5,4,8,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,8,4,6,2,3,1,7] => [7,1,3,2,6,4,8,5] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,4,8,2,3,1,7] => [7,1,3,2,8,4,6,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,6,3,8,2,4,1,7] => [7,1,4,2,8,3,6,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,4,2,8,1,7] => [7,1,8,2,4,3,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[4,6,3,5,2,7,1,8] => [8,1,7,2,5,3,6,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,5,2,8,1,7] => [7,1,8,2,5,3,6,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,8,2,5,1,7] => [7,1,5,2,8,3,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,6,2,5,1,7] => [7,1,5,2,6,3,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,6,2,4,1,7] => [7,1,4,2,6,3,8,5] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,5,2,4,1,7] => [7,1,4,2,5,3,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,6,2,7,1,4] => [4,1,7,2,6,3,8,5] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,6,2,7,1,5] => [5,1,7,2,6,3,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,8,2,7,1,5] => [5,1,7,2,8,3,6,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,2,8,1,5] => [5,1,8,2,7,3,6,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,6,2,5,1,8] => [8,1,5,2,6,3,7,4] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,6,2,8,1,5] => [5,1,8,2,6,3,7,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,8,2,6,1,5] => [5,1,6,2,8,3,7,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,7,4,8,2,6,1,3] => [3,1,6,2,8,4,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,6,2,8,1,4] => [4,1,8,2,6,3,7,5] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,6,2,4,1,8] => [8,1,4,2,6,3,7,5] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,3,5,2,4,1,8] => [8,1,4,2,5,3,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,7,3,5,2,8,1,4] => [4,1,8,2,5,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,8,2,5,1,3] => [3,1,5,2,8,4,7,6] => ([(0,6),(1,2),(1,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,8,2,3,1,5] => [5,1,3,2,8,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[6,7,3,8,2,4,1,5] => [5,1,4,2,8,3,7,6] => ([(0,7),(1,2),(1,4),(2,4),(3,5),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,3,4,2,8,1,5] => [5,1,8,2,4,3,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,2,6,1,8] => [8,1,6,2,4,3,7,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,2,8,1,6] => [6,1,8,2,4,3,7,5] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,8,2,3,1,6] => [6,1,3,2,8,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,2,3,1,6] => [6,1,3,2,7,4,8,5] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,4,7,2,3,1,5] => [5,1,3,2,7,4,8,6] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,3,7,2,4,1,5] => [5,1,4,2,7,3,8,6] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,7,2,4,1,6] => [6,1,4,2,7,3,8,5] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,2,5,1,6] => [6,1,5,2,7,3,8,4] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,8,2,5,1,6] => [6,1,5,2,8,3,7,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,5,2,8,1,6] => [6,1,8,2,5,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,5,2,6,1,8] => [8,1,6,2,5,3,7,4] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,7,2,6,1,8] => [8,1,6,2,7,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,7,2,8,1,6] => [6,1,8,2,7,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,8,2,7,1,6] => [6,1,7,2,8,3,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,5,2,7,1,6] => [6,1,7,2,5,3,8,4] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,4,2,7,1,6] => [6,1,7,2,4,3,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,4,2,7,1,5] => [5,1,7,2,4,3,8,6] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,4,2,6,1,5] => [5,1,6,2,4,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[6,8,3,4,2,5,1,7] => [7,1,5,2,4,3,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,4,2,6,1,7] => [7,1,6,2,4,3,8,5] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,5,2,6,1,7] => [7,1,6,2,5,3,8,4] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,8,2,6,1,7] => [7,1,6,2,8,3,5,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,6,2,8,1,7] => [7,1,8,2,6,3,5,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,2,1,3,8,7] => [7,8,3,1,2,5,6,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[5,6,4,2,3,1,8,7] => [7,8,1,3,2,4,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[6,4,5,3,1,2,8,7] => [7,8,2,1,3,5,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[5,4,6,1,3,2,8,7] => [7,8,2,3,1,6,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[2,1,6,8,7,4,3,5] => [5,3,4,7,8,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[2,1,7,8,6,4,5,3] => [3,5,4,6,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[5,7,8,6,2,3,1,4] => [4,1,3,2,6,8,7,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[5,8,7,6,3,2,1,4] => [4,1,2,3,6,7,8,5] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => 2
[3,7,1,8,6,4,5,2] => [2,5,4,6,8,1,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,6,7,5,2,4] => [4,2,5,7,6,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,6,7,5,3,4] => [4,3,5,7,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[5,8,6,7,3,1,2,4] => [4,2,1,3,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[6,7,5,8,1,3,4,2] => [2,4,3,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,6,5,8,1,4,3,2] => [2,3,4,1,8,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [2,4,2] => 2
[2,1,7,6,8,3,5,4] => [4,5,3,8,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[7,5,6,8,1,4,2,3] => [3,2,4,1,8,6,5,7] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[8,1,3,4,5,6,7,2] => [2,7,6,5,4,3,1,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,1,2] => 2
[1,7,2,4,5,6,3,8] => [8,3,6,5,4,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,3,2,7,5,1,8,4] => [4,8,1,5,7,2,3,6] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,2,1,3,8,6,4,5] => [5,4,6,8,3,1,2,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,8,1,3,6,4,7,5] => [5,7,4,6,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,3,2,4,6,7] => [7,6,4,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,7,8,6,3,5] => [5,3,6,8,7,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,4,8,5,3,7] => [7,3,5,8,4,2,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,8,5,2,4,6] => [6,4,2,5,8,3,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,2,8,6,4,5] => [5,4,6,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,5,7,8,6,1,3] => [3,1,6,8,7,5,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,1,8,5,6,4] => [4,6,5,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,1,8,3,4,7,5] => [5,7,4,3,8,1,2,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,3,5,1,7,4] => [4,7,1,5,3,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,8,5,7,1,3] => [3,1,7,5,8,4,2,6] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,4,8,5,7,2] => [2,7,5,8,4,6,3,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,4,7,5,8,2] => [2,8,5,7,4,6,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,2,4,7,5,8,1,3] => [3,1,8,5,7,4,2,6] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,1,3,7,8,4,5] => [5,4,8,7,3,1,2,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,8,2,1,4,3,5,6] => [6,5,3,4,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,6,4,2,3,1,8,5] => [5,8,1,3,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,2,3,1,6,8,4] => [4,8,6,1,3,2,7,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,4,2,6,8,1,3] => [3,1,8,6,2,4,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,5,3,4,6,8,2] => [2,8,6,4,3,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,5,4,6,7,1,3] => [3,1,7,6,4,5,2,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[5,2,6,3,1,8,7,4] => [4,7,8,1,3,6,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,4,3,5,6,7] => [7,6,5,3,4,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,7,4,2,3,5,6,8] => [8,6,5,3,2,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[6,8,4,1,3,2,5,7] => [7,5,2,3,1,4,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,4,3,2,5,6] => [6,5,2,3,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,6,3,8,2,4,7,5] => [5,7,4,2,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,1,2,7,4,6] => [6,4,7,2,1,8,3,5] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,1,8,3,2,6,4,7] => [7,4,6,2,3,8,1,5] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,1,2,6,4,8] => [8,4,6,2,1,3,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,2,4,6,3,7] => [7,3,6,4,2,8,5,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,4,2,7,3,6] => [6,3,7,2,4,8,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,2,8,3,7,5] => [5,7,3,8,2,6,4,1] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,6,7,2,4,8] => [8,4,2,7,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,1,2,8,4,7] => [7,4,8,2,1,6,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,3,2,7,8,4,5] => [5,4,8,7,2,3,6,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,4,5,3,8,6,2] => [2,6,8,3,5,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,4,1,2,5,8,7] => [7,8,5,2,1,4,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,1,4,2,7,5,8] => [8,5,7,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,2,6,8,1,7,3] => [3,7,1,8,6,2,5,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,5,6,7,8,1,3] => [3,1,8,7,6,5,2,4] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[5,2,3,6,7,1,8,4] => [4,8,1,7,6,3,2,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,3,4,1,7,8,5] => [5,8,7,1,4,3,2,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,2,3,1,4,5,8,6] => [6,8,5,4,1,3,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,6,1,4,3,2,5,7] => [7,5,2,3,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,1,2,6,4,5,3,7] => [7,3,5,4,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,1,2,6,5,4,3,7] => [7,3,4,5,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[1,4,2,8,6,7,3,5] => [5,3,7,6,8,2,4,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,3,2,5,8,6] => [6,8,5,2,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,7,3,4,2,5,6] => [6,5,2,4,3,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[3,1,7,8,2,6,4,5] => [5,4,6,2,8,7,1,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,8,3,4,6,5] => [5,6,4,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[1,2,3,8,7,5,6,4] => [4,6,5,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[4,7,8,5,6,2,1,3] => [3,1,2,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[5,7,8,4,2,6,1,3] => [3,1,6,2,4,8,7,5] => ([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,8,4,2,5,1,3] => [3,1,5,2,4,8,7,6] => ([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[8,6,3,7,2,1,5,4] => [4,5,1,2,7,3,6,8] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,6,3,8,2,1,5,4] => [4,5,1,2,8,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,8,3,2,1,5,4] => [4,5,1,2,3,8,7,6] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,2] => 2
[5,7,8,3,2,1,6,4] => [4,6,1,2,3,8,7,5] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,7,8,4,3,5,6,1] => [1,6,5,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,7,8,4,2,5,1,6] => [6,1,5,2,4,8,7,3] => ([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,8,3,2,1,5,6] => [6,5,1,2,3,8,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,7,8,3,2,1,4,6] => [6,4,1,2,3,8,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,6,3,8,2,1,4,5] => [5,4,1,2,8,3,6,7] => ([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,6,3,7,2,1,4,5] => [5,4,1,2,7,3,6,8] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,6,3,8,2,1,4,7] => [7,4,1,2,8,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,4,8,2,5,1,7] => [7,1,5,2,8,4,6,3] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,7,3,5,8,1] => [1,8,5,3,7,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,6,4,7,2,5,1,8] => [8,1,5,2,7,4,6,3] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,2,1,5,8] => [8,5,1,2,7,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,7,2,1,4,8] => [8,4,1,2,7,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,4,3,2,1,6,5,7] => [7,5,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[6,4,3,2,1,7,5,8] => [8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,5,3,2,7,1,6,8] => [8,6,1,7,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,5,4,2,8,6,1,7] => [7,1,6,8,2,4,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,2,1,8,5,7] => [7,5,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,3,1,1] => 1
[7,4,3,2,1,8,5,6] => [6,5,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,3,1,1] => 1
[8,4,3,2,1,7,5,6] => [6,5,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,4,3,2,1,7,6,5] => [5,6,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => 2
[7,4,3,2,1,8,6,5] => [5,6,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[6,4,3,2,1,8,7,5] => [5,7,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[5,6,3,8,2,1,7,4] => [4,7,1,2,8,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,3,1,1,1,1] => 1
[7,5,3,2,8,1,6,4] => [4,6,1,8,2,3,5,7] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,4,2,7,6,1,3] => [3,1,6,7,2,4,5,8] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,4,2,8,6,1,3] => [3,1,6,8,2,4,5,7] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,5,4,2,8,7,1,3] => [3,1,7,8,2,4,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[4,6,5,8,7,2,1,3] => [3,1,2,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[2,6,5,7,8,3,4,1] => [1,4,3,8,7,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[6,5,4,2,7,8,1,3] => [3,1,8,7,2,4,5,6] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,5,4,2,6,7,1,3] => [3,1,7,6,2,4,5,8] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,3,2,6,1,8,4] => [4,8,1,6,2,3,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,7,2,1,8,4] => [4,8,1,2,7,3,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,6,3,7,2,1,8,5] => [5,8,1,2,7,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,7,2,8,1,5] => [5,1,8,2,7,4,6,3] => ([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,4,2,7,8,1,6] => [6,1,8,7,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[4,5,3,2,7,1,8,6] => [6,8,1,7,2,3,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,3,2,1,6,8,5] => [5,8,6,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,4,3,2,1,6,7,5] => [5,7,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,4,3,2,1,5,7,6] => [6,7,5,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[7,4,3,2,1,5,8,6] => [6,8,5,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,4,3,2,1,5,8,7] => [7,8,5,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[3,5,4,2,6,8,1,7] => [7,1,8,6,2,4,5,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,4,2,6,1,3] => [3,1,6,2,4,8,5,7] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,7,5,1,4,2] => [2,4,1,5,7,3,8,6] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,5,2,1,6,7] => [7,6,1,2,5,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,5,7,2,6,8] => [8,6,2,7,5,1,3,4] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,2,1,4,7,5,8] => [8,5,7,4,1,2,6,3] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,5,3,7,8] => [8,7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,5,2,1,4,7,8,3] => [3,8,7,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,5,8,3,7,6] => [6,7,3,8,5,1,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,5,3,8,7,6] => [6,7,8,3,5,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,5,1,2,8,7,6] => [6,7,8,2,1,5,4,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,1,1] => 1
[3,5,6,8,7,2,4,1] => [1,4,2,7,8,6,5,3] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,5,6,8,7,2,1,4] => [4,1,2,7,8,6,5,3] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,4,6,2,7,5,3] => [3,5,7,2,6,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,6,7,4,3,2] => [2,3,4,7,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[2,5,8,6,7,4,3,1] => [1,3,4,7,6,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[6,1,5,7,3,2,4,8] => [8,4,2,3,7,5,1,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,5,1,6,4,7,8] => [8,7,4,6,1,5,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,2,5,1,6,7,8,4] => [4,8,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,2,4,1,8,5,7,6] => [6,7,5,8,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,2,5,1,6,7,4,8] => [8,4,7,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,6,4,2,3,8] => [8,3,2,4,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,8,5,7,3] => [3,7,5,8,1,6,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,4,1,8,6,5,7] => [7,5,6,8,1,4,2,3] => ([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[3,7,5,1,8,6,4,2] => [2,4,6,8,1,5,7,3] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,7,3,1,8,4,2] => [2,4,8,1,3,7,5,6] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,1,8,5,2] => [2,5,8,1,7,3,6,4] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,7,5,1,8,2] => [2,8,1,5,7,3,6,4] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,1,7,5,3,8] => [8,3,5,7,1,6,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,7,4,1,6,8,3] => [3,8,6,1,4,7,5,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,5,1,8,6,2] => [2,6,8,1,5,7,3,4] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,8,5,1,7,2] => [2,7,1,5,8,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,3,6,1,7,2] => [2,7,1,6,3,4,8,5] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,6,7,1,8,2] => [2,8,1,7,6,3,4,5] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[2,5,4,6,1,7,3,8] => [8,3,7,1,6,4,5,2] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,4,6,8,1,7,3] => [3,7,1,8,6,4,5,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,8,4,1,6,7,3] => [3,7,6,1,4,8,2,5] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,1,8,5,7,3] => [3,7,5,8,1,2,6,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,4,1,7,5,8,6,3] => [3,6,8,5,7,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,7,5,3,8,6] => [6,8,3,5,7,1,4,2] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,1,8,5,3,7] => [7,3,5,8,1,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,8,2,1,6,3,7] => [7,3,6,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,2,5,6,1,8,4,7] => [7,4,8,1,6,5,2,3] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,2,6,1,5,7] => [7,5,1,6,2,3,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,1,6,8,5,4,7] => [7,4,5,8,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,2,7,1,5,4,8,6] => [6,8,4,5,1,7,2,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,8,2,5,1,6,7,4] => [4,7,6,1,5,2,8,3] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,2,6,7,8,1,5] => [5,1,8,7,6,2,3,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[4,3,7,2,6,8,1,5] => [5,1,8,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[4,3,7,8,2,6,1,5] => [5,1,6,2,8,7,3,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,2,5,7,8,1,6,4] => [4,6,1,8,7,5,2,3] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[3,2,5,7,1,6,8,4] => [4,8,6,1,7,5,2,3] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,7,1,5,4,8] => [8,4,5,1,7,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,2,7,8,1,5,4] => [4,5,1,8,7,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,6,1,7,8,5,3] => [3,5,8,7,1,6,2,4] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,1,7,8,4,3] => [3,4,8,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,1,7,5,3,8,6,4] => [4,6,8,3,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,1,8,5,3,7,4] => [4,7,3,5,8,1,2,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,2,1,4,7,8,5] => [5,8,7,4,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,3,2,1,4,7,5,8] => [8,5,7,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,5,2,1,7,8,4,6] => [6,4,8,7,1,2,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,8,4,2,1,7,3,6] => [6,3,7,1,2,4,8,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,6,2,1,8,3,7,5] => [5,7,3,8,1,2,6,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,4,1,7,3,8,6,5] => [5,6,8,3,7,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,7,1,4,8,6,5] => [5,6,8,4,1,7,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,8,2,1,7,4,6] => [6,4,7,1,2,8,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,2,1,5,6] => [6,5,1,2,7,3,8,4] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,2,8,1,5,6] => [6,5,1,8,2,7,3,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,8,3,2,7,1,5,6] => [6,5,1,7,2,3,8,4] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,8,1,7,4,6] => [6,4,7,1,8,2,5,3] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,2,1,4,7,5,8,6] => [6,8,5,7,4,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,8,3,2,1,5,6,7] => [7,6,5,1,2,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,2,5,3,4,1,8,7] => [7,8,1,4,3,5,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[6,4,5,1,3,2,8,7] => [7,8,2,3,1,5,4,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[6,1,5,3,4,2,8,7] => [7,8,2,4,3,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,5,1,4,2,8,7] => [7,8,2,4,1,5,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,7,3,6,4,5,2] => [2,5,4,6,3,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[2,1,8,4,7,5,6,3] => [3,6,5,7,4,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,1,8,6,7,3,5,4] => [4,5,3,7,6,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[2,1,8,3,7,5,6,4] => [4,6,5,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[8,1,7,2,6,4,5,3] => [3,5,4,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,1,8,5,7,3,6,4] => [4,6,3,7,5,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,7,3,6,2,4] => [4,2,6,3,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,2,8,4,6,5,3] => [3,5,6,4,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,8,4,5,7,2] => [2,7,5,4,8,6,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,8,2,4,6,3] => [3,6,4,2,8,7,5,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,5,8,3,4,6,2] => [2,6,4,3,8,5,7,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,8,5,4,3,2,7] => [7,2,3,4,5,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,6,8,1,4,3,2,7] => [7,2,3,4,1,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,4,2,5,3,6,7] => [7,6,3,5,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,5,2,8,4,3,6,7] => [7,6,3,4,8,2,5,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,5,4,3,6,7] => [7,6,3,4,5,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[6,4,1,2,8,7,3,5] => [5,3,7,8,2,1,4,6] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,1,2,8,3,7,5] => [5,7,3,8,2,1,4,6] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,7,3,5,4,6] => [6,4,5,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[1,2,8,7,4,5,3,6] => [6,3,5,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[2,8,1,7,5,3,4,6] => [6,4,3,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,1,2,8,6,3,5] => [5,3,6,8,2,1,4,7] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,4,1,6,2,5] => [5,2,6,1,4,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,3,4,1,7,2,5] => [5,2,7,1,4,3,8,6] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,3,4,1,8,2,5] => [5,2,8,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,1,8,2,6] => [6,2,8,1,4,3,7,5] => ([(0,5),(0,7),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,4,1,7,2,6] => [6,2,7,1,4,3,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,3,4,1,6,2,7] => [7,2,6,1,4,3,8,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,4,1,5,2,7] => [7,2,5,1,4,3,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,3,4,1,5,2,8] => [8,2,5,1,4,3,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,1,6,2,8] => [8,2,6,1,4,3,7,5] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,8,3,4,1,7] => [7,1,4,3,8,2,6,5] => ([(0,7),(1,2),(1,3),(1,7),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,2,7,3,4,1,8] => [8,1,4,3,7,2,6,5] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,6,2,8,3,5,1,7] => [7,1,5,3,8,2,6,4] => ([(0,7),(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,5,1,6,2,8] => [8,2,6,1,5,3,7,4] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,5,1,6,2,7] => [7,2,6,1,5,3,8,4] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,5,1,7,2,6] => [6,2,7,1,5,3,8,4] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,5,1,8,2,6] => [6,2,8,1,5,3,7,4] => ([(0,4),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,3,1,7,4,8] => [8,4,7,1,3,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,4,1,8,3,7] => [7,3,8,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,4,1,7,3,8] => [8,3,7,1,4,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,5,1,7,3,8] => [8,3,7,1,5,2,6,4] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,5,1,8,3,7] => [7,3,8,1,5,2,6,4] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,8,3,7,2,6] => [6,2,7,3,8,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,7,3,8,2,6] => [6,2,8,3,7,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,7,3,8,1,5] => [5,1,8,3,7,2,6,4] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,6,2,7,3,8,1,4] => [4,1,8,3,7,2,6,5] => ([(0,4),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,6,2,7,4,8,1,3] => [3,1,8,4,7,2,6,5] => ([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,6,3,8,4,7,1,2] => [2,1,7,4,8,3,6,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[5,6,2,8,4,7,1,3] => [3,1,7,4,8,2,6,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,8,3,7,1,4] => [4,1,7,3,8,2,6,5] => ([(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,6,2,8,3,7,1,5] => [5,1,7,3,8,2,6,4] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,8,3,6,2,7] => [7,2,6,3,8,1,5,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,2,1,4,8,7] => [7,8,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[4,6,3,5,2,1,8,7] => [7,8,1,2,5,3,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[2,1,6,8,5,7,4,3] => [3,4,7,5,8,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[3,8,1,2,5,6,7,4] => [4,7,6,5,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[2,6,8,4,5,7,1,3] => [3,1,7,5,4,8,6,2] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,1,8,5,6,7,2] => [2,7,6,5,8,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[4,5,7,6,2,3,8,1] => [1,8,3,2,6,7,5,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[1,5,7,3,6,8,4,2] => [2,4,8,6,3,7,5,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,7,6,8,5,2] => [2,5,8,6,7,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,3,7,6,8,5,2] => [2,5,8,6,7,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,3,6,8,4,2] => [2,4,8,6,3,7,1,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,3,6,1,4,2] => [2,4,1,6,3,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,6,1,5,2] => [2,5,1,6,7,3,8,4] => ([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,8,4,7,1,6,5,3] => [3,5,6,1,7,4,8,2] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,3,2,7,6,5,4] => [4,5,6,7,2,3,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[2,8,3,1,7,6,5,4] => [4,5,6,7,1,3,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,8,2,1,7,6,5,4] => [4,5,6,7,1,2,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[6,7,1,2,8,5,4,3] => [3,4,5,8,2,1,7,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,2,3,1,7,6,5,4] => [4,5,6,7,1,3,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,3,2,1,7,6,5,4] => [4,5,6,7,1,2,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,2] => 2
[1,4,2,7,8,6,5,3] => [3,5,6,8,7,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,7,2,8,6,4,3] => [3,4,6,8,2,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,5,8,1,3,2] => [2,3,1,8,5,4,7,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[5,4,7,6,8,1,3,2] => [2,3,1,8,6,7,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[1,5,7,8,2,6,4,3] => [3,4,6,2,8,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,8,7,2,6,5,3] => [3,5,6,2,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,7,6,1,5,2] => [2,5,1,6,7,8,4,3] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,3,8,7,6,1,5,2] => [2,5,1,6,7,8,3,4] => ([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[6,7,2,8,1,5,4,3] => [3,4,5,1,8,2,7,6] => ([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,2,8,7,1,6,5,3] => [3,5,6,1,7,8,2,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,8,1,7,6,5,4] => [4,5,6,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,1,1,3,1,1] => 1
[1,3,8,2,7,6,5,4] => [4,5,6,7,2,8,3,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,3,1,2,7,6,5,4] => [4,5,6,7,2,1,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,2,1,3,7,6,5,4] => [4,5,6,7,3,1,2,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[1,2,8,3,7,6,5,4] => [4,5,6,7,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[2,1,8,3,7,6,5,4] => [4,5,6,7,3,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[6,7,1,8,2,5,4,3] => [3,4,5,2,8,1,7,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,8,1,7,2,6,5,3] => [3,5,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,2,7,6,5,4] => [4,5,6,7,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,3,1,1] => 1
[2,8,1,3,7,6,5,4] => [4,5,6,7,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,2,3,7,6,5,4] => [4,5,6,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[8,1,2,3,7,6,5,4] => [4,5,6,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[8,1,4,5,7,6,2,3] => [3,2,6,7,5,4,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,4,6,1,3,8,7,5] => [5,7,8,3,1,6,4,2] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,5,7,3,6,4] => [4,6,3,7,5,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,1,2,4,3,7,6,5] => [5,6,7,3,4,2,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,1,3,4,2,7,6,5] => [5,6,7,2,4,3,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,1,6,7,2,3,5,4] => [4,5,3,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,6,2,1,4,8,7,5] => [5,7,8,4,1,2,6,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,4,2,3,7,6,5] => [5,6,7,3,2,4,1,8] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,1,3,2,4,7,6,5] => [5,6,7,4,2,3,1,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,4,6,3,5,8,1,7] => [7,1,8,5,3,6,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,5,3,1,8,7] => [7,8,1,3,5,6,2,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,1,5,8,3,7] => [7,3,8,5,1,6,4,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,1,6,8,5,7,3] => [3,7,5,8,6,1,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,2,8,7,1,3] => [3,1,7,8,2,5,6,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,3,8,1,7,5] => [5,7,1,8,3,6,4,2] => ([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,2,8,4,6,7] => [7,6,4,8,2,3,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,6,8,7,5,1,2] => [2,1,5,7,8,6,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,4,6,2,7,8,5,3] => [3,5,8,7,2,6,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,5,4,2,6,7] => [7,6,2,4,5,8,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,5,4,8,1,2] => [2,1,8,4,5,7,3,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,3,8,5,4,6,1,2] => [2,1,6,4,5,8,3,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,8,7,5,4,6,1,2] => [2,1,6,4,5,7,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[4,3,6,7,8,5,1,2] => [2,1,5,8,7,6,3,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[4,5,6,3,8,7,1,2] => [2,1,7,8,3,6,5,4] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[3,6,8,5,4,7,1,2] => [2,1,7,4,5,8,6,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,8,3,5,4,7,1,2] => [2,1,7,4,5,3,8,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,6,2,5,4,8,7,3] => [3,7,8,4,5,2,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,2,5,8,3,6,4] => [4,6,3,8,5,2,1,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,5,7,3,6,4] => [4,6,3,7,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,1,5,4,8,7,3] => [3,7,8,4,5,1,2,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[4,1,6,2,8,7,5,3] => [3,5,7,8,2,6,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,2,4,6,5,3] => [3,5,6,4,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[4,3,6,1,8,2,7,5] => [5,7,2,8,1,6,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,3,8,5,4,1,6,7] => [7,6,1,4,5,8,3,2] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,8,1,5,2,3,7,6] => [6,7,3,2,5,1,8,4] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,1,6,4,3,2,8] => [8,2,3,4,6,1,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,5,8,6,4,3,2,7] => [7,2,3,4,6,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,6,1,5,8,2,7] => [7,2,8,5,1,6,4,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,4,1,5,3,2,6] => [6,2,3,5,1,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,6,1,5,7,3,8,4] => [4,8,3,7,5,1,6,2] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,7,4,3,2,5] => [5,2,3,4,7,1,8,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,1,7,6,4,3,2,8] => [8,2,3,4,6,7,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,1,7,8,4,3,2,5] => [5,2,3,4,8,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,1,8,6,4,3,2,5] => [5,2,3,4,6,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,7,6,4,3,2,5] => [5,2,3,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[2,1,7,5,6,3,8,4] => [4,8,3,6,5,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,7,5,8,2,4] => [4,2,8,5,7,6,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,6,5,3,2,4] => [4,2,3,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,8,2,1,4,5,6,3] => [3,6,5,4,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[2,8,1,5,4,6,7,3] => [3,7,6,4,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,1,2,5,7,3,8,4] => [4,8,3,7,5,2,1,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,1,5,6,3,7,8] => [8,7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,3,6,8,5,7,2,4] => [4,2,7,5,8,6,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,3,7,1,8,5] => [5,8,1,7,3,6,4,2] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,4,8,7,2,5] => [5,2,7,8,4,6,3,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,6,7,3,8,2,5] => [5,2,8,3,7,6,1,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,6,1,3,7,2,8] => [8,2,7,3,1,6,4,5] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,5,4,1,8,6] => [6,8,1,4,5,3,2,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,3,5,4,1,7,6] => [6,7,1,4,5,3,8,2] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,3,8,1,7,5] => [5,7,1,8,3,6,2,4] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,3,4,1,6,5] => [5,6,1,4,3,2,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,2] => 2
[7,8,1,4,6,3,2,5] => [5,2,3,6,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,1,6,4,7,8,2,5] => [5,2,8,7,4,6,1,3] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,8,4,3,2,6] => [6,2,3,4,8,5,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,1,8,7,4,3,2,6] => [6,2,3,4,7,8,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,5,8,1,4,3,2,6] => [6,2,3,4,1,8,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,8,7,1,4,3,2,6] => [6,2,3,4,1,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,8,4,6,1,3,2,5] => [5,2,3,1,6,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,5,6,4,1,8,2,7] => [7,2,8,1,4,6,5,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,5,1,3,8,7] => [7,8,3,1,5,4,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,8,4,3,2,7] => [7,2,3,4,8,5,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,5,1,4,3,2,7] => [7,2,3,4,1,5,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,6,5,1,4,3,2,8] => [8,2,3,4,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[3,2,7,5,4,1,6,8] => [8,6,1,4,5,7,2,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,5,4,7,8,3] => [3,8,7,4,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,3,6,8,1,7,2,5] => [5,2,7,1,8,6,3,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,3,6,4,1,7,2,8] => [8,2,7,1,4,6,3,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,1,5,8,3,7,4] => [4,7,3,8,5,1,2,6] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,4,8,3,5,2] => [2,5,3,8,4,7,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,6,3,7,5,8,2] => [2,8,5,7,3,6,4,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,2,5,8,1,3] => [3,1,8,5,2,7,6,4] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,4,6,2,8,1,3] => [3,1,8,2,6,4,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,4,1,6,7,3,8] => [8,3,7,6,1,4,5,2] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,2,7,1,4,8] => [8,4,1,7,2,3,6,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,3,2,1,5,7] => [7,5,1,2,3,4,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,6,4,3,2,1,7,5] => [5,7,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[7,6,4,3,2,1,8,5] => [5,8,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[7,5,8,3,2,6,1,4] => [4,1,6,2,3,8,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,2,5,1,8,4] => [4,8,1,5,2,7,3,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,8,3,5,2,1,4] => [4,1,2,5,3,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,1,5,7,8,6,3,4] => [4,3,6,8,7,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[3,2,6,1,7,4,5,8] => [8,5,4,7,1,6,2,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,2,1,8,4,6] => [6,4,8,1,2,5,3,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,4,1,3,7,8,6] => [6,8,7,3,1,4,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,2,8,6,1,4,5] => [5,4,1,6,8,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,8,2,1,7,4,5] => [5,4,7,1,2,8,6,3] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[5,3,8,2,1,4,7,6] => [6,7,4,1,2,8,3,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,7,3,2,1,5,6] => [6,5,1,2,3,7,8,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,2,8,6,1,4,5] => [5,4,1,6,8,2,3,7] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,5,4,6,1,2] => [2,1,6,4,5,3,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[5,7,1,6,2,8,4,3] => [3,4,8,2,6,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,6,5,1,8,4,3] => [3,4,8,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,3,5,1,8,6,4,2] => [2,4,6,8,1,5,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,4,8,7,6,1,5] => [5,1,6,7,8,4,3,2] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,3,4,8,7,5,6,1] => [1,6,5,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,7,6,5,4,8,1,3] => [3,1,8,4,5,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,7,6,4,5,8,3,1] => [1,3,8,5,4,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,3,4,8,7,1,6,5] => [5,6,1,7,8,4,3,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[2,3,4,8,1,7,6,5] => [5,6,7,1,8,4,3,2] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[7,8,2,6,1,5,3,4] => [4,3,5,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[7,8,1,6,2,5,3,4] => [4,3,5,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,8,6,7,2,5,3,4] => [4,3,5,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,5,7,2,6,3,4] => [4,3,6,2,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,8,1,7,2,6,3,4] => [4,3,6,2,7,1,8,5] => ([(0,5),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,8,2,7,1,6,3,4] => [4,3,6,1,7,2,8,5] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,6,7,1,5,3,4] => [4,3,5,1,7,6,8,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,5,7,1,6,3,4] => [4,3,6,1,7,5,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,7,5,6,3,4] => [4,3,6,5,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[1,8,2,7,5,6,3,4] => [4,3,6,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,2,7,4,6,3,5] => [5,3,6,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,7,4,6,3,5] => [5,3,6,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,7,1,6,3,5] => [5,3,6,1,7,4,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,7,1,6,3,5] => [5,3,6,1,7,2,8,4] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,7,2,6,3,5] => [5,3,6,2,7,1,8,4] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,7,2,6,3,5] => [5,3,6,2,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,7,5,6,2,3] => [3,2,6,5,7,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,7,5,6,2,3] => [3,2,6,5,7,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,3,7,5,6,2,4] => [4,2,6,5,7,3,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,7,5,6,2,4] => [4,2,6,5,7,1,8,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,7,4,6,2,5] => [5,2,6,4,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,7,4,6,2,5] => [5,2,6,4,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,7,2,6,4,5] => [5,4,6,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,7,2,6,4,5] => [5,4,6,2,7,1,8,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,2,7,1,6,4,5] => [5,4,6,1,7,2,8,3] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,2,7,4,6,1,5] => [5,1,6,4,7,2,8,3] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,2,7,5,6,1,4] => [4,1,6,5,7,2,8,3] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,7,5,6,1,3] => [3,1,6,5,7,2,8,4] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,7,5,6,1,2] => [2,1,6,5,7,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[3,8,4,7,5,6,1,2] => [2,1,6,5,7,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,8,4,7,5,6,1,3] => [3,1,6,5,7,4,8,2] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,3,7,5,6,1,4] => [4,1,6,5,7,3,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,3,7,4,6,1,5] => [5,1,6,4,7,3,8,2] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,3,7,1,6,4,5] => [5,4,6,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,7,3,6,4,5] => [5,4,6,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,8,6,4,1,3] => [3,1,4,6,8,2,5,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,8,6,2,3,4] => [4,3,2,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,4,8,6,1,5,2,3] => [3,2,5,1,6,8,4,7] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,4,5,2,6,3] => [3,6,2,5,4,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,7,4,2,5,3] => [3,5,2,4,7,1,8,6] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,4,2,8,5,3] => [3,5,8,2,4,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,3,8,5,2,4] => [4,2,5,8,3,7,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,3,5,6,2,4] => [4,2,6,5,3,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,8,6,2,5,1,4] => [4,1,5,2,6,8,3,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,8,6,1,3,5] => [5,3,1,6,8,2,4,7] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,8,4,2,5,6] => [6,5,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,4,1,5,3,6] => [6,3,5,1,4,8,2,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,3,5,1,6,4] => [4,6,1,5,3,8,2,7] => ([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,3,4,6,1,5] => [5,1,6,4,3,8,2,7] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,8,2,6,3,4] => [4,3,6,2,8,7,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,4,8,5,3,1,7] => [7,1,3,5,8,4,2,6] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,4,8,5,2,7] => [7,2,5,8,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,7,8,4,5,1] => [1,5,4,8,7,3,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,4,7,3,5,6,8,1] => [1,8,6,5,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,5,3,7,8,1,6,4] => [4,6,1,8,7,3,5,2] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,4,7,8,2,6] => [6,2,8,7,4,5,1,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,4,8,2,6,7] => [7,6,2,8,4,1,3,5] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,4,8,6,1,3,7] => [7,3,1,6,8,4,2,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,8,4,6,7,1] => [1,7,6,4,8,3,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,8,2,3,6,1,7,5] => [5,7,1,6,3,2,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,3,5,7,1,6] => [6,1,7,5,3,2,8,4] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,7,8,3,6,2,5] => [5,2,6,3,8,7,4,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,3,6,7,2,5] => [5,2,7,6,3,1,8,4] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,8,2,4,7,1,6] => [6,1,7,4,2,8,3,5] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,8,1,2,7,6] => [6,7,2,1,8,3,4,5] => ([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[6,4,2,8,1,3,7,5] => [5,7,3,1,8,2,4,6] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,8,2,5,1,7,4] => [4,7,1,5,2,8,3,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,8,1,4,7,2,5] => [5,2,7,4,1,8,3,6] => ([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,1,3,6,2,7,4] => [4,7,2,6,3,1,8,5] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,2,6,8,3] => [3,8,6,2,4,7,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,1,4,2,6,3,7] => [7,3,6,2,4,1,8,5] => ([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,1,2,7,6,3] => [3,6,7,2,1,4,8,5] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,1,2,8,7,3,4] => [4,3,7,8,2,1,5,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,5,3,1,4,2,8,7] => [7,8,2,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[5,2,6,4,1,7,3,8] => [8,3,7,1,4,6,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,7,5,2,8,3] => [3,8,2,5,7,1,6,4] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,7,2,6,3,8] => [8,3,6,2,7,1,5,4] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,6,1,2,8,7,4] => [4,7,8,2,1,6,5,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,5,7,1,8,6,2,4] => [4,2,6,8,1,7,5,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,2,7,5,1,8,4] => [4,8,1,5,7,2,6,3] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,5,7,1,8,6,3] => [3,6,8,1,7,5,2,4] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,2,8,6,1,5] => [5,1,6,8,2,7,4,3] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,5,8,2,7,1,6] => [6,1,7,2,8,5,4,3] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,4,6,2,8,1,5,7] => [7,5,1,8,2,6,4,3] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,6,8,1,7,4] => [4,7,1,8,6,2,5,3] => ([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,5,6,1,3,8,7] => [7,8,3,1,6,5,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[4,3,1,2,5,6,8,7] => [7,8,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[8,7,2,1,4,3,6,5] => [5,6,3,4,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,3,3] => 3
[4,7,6,5,8,1,2,3] => [3,2,1,8,5,6,7,4] => ([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[5,6,4,3,8,7,1,2] => [2,1,7,8,3,4,6,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[3,6,2,4,8,1,5,7] => [7,5,1,8,4,2,6,3] => ([(0,6),(0,7),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,2,8,1,6,5] => [5,6,1,8,2,7,4,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,7,2,5,8,6,3] => [3,6,8,5,2,7,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,8,4,5,6,1,2] => [2,1,6,5,4,8,3,7] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,5,6,4,8,7,1,2] => [2,1,7,8,4,6,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,8,5,2,7,3,6,4] => [4,6,3,7,2,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,7,5,1,8,6,3] => [3,6,8,1,5,7,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,4,8,2,5,7] => [7,5,2,8,4,6,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,1,3,4,2,8,7] => [7,8,2,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[5,8,3,6,1,4,2,7] => [7,2,4,1,6,3,8,5] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,6,4,1,3,7] => [7,3,1,4,6,8,5,2] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,6,3,4,2,5] => [5,2,4,3,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,1,4,5,6,8,3] => [3,8,6,5,4,1,2,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,6,5,8,1,4,2,3] => [3,2,4,1,8,5,6,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[5,8,6,7,3,2,1,4] => [4,1,2,3,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[1,6,4,3,7,2,8,5] => [5,8,2,7,3,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,4,8,7,1,5] => [5,1,7,8,4,3,6,2] => ([(0,4),(1,2),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,5,4,2,7,6] => [6,7,2,4,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,5,8,3,4,1,6] => [6,1,4,3,8,5,2,7] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,3,8,2,1,7,4] => [4,7,1,2,8,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,5,8,4,1,2,3,6] => [6,3,2,1,4,8,5,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,8,7,4,1,3,2,6] => [6,2,3,1,4,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,4,6,7,3,1,8,5] => [5,8,1,3,7,6,4,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,5,3,8,1,7] => [7,1,8,3,5,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,6,5,8,4,2,1,7] => [7,1,2,4,8,5,6,3] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,4,3,1,2,7] => [7,2,1,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,7,5,8,2,6,4,3] => [3,4,6,2,8,5,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,8,5,7,6,2,4] => [4,2,6,7,5,8,3,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,5,6,3,7,4] => [4,7,3,6,5,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,6,2,7,3,4] => [4,3,7,2,6,8,1,5] => ([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,1,3,7,8,6,2,4] => [4,2,6,8,7,3,1,5] => ([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,6,3,7,2,4] => [4,2,7,3,6,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,7,6,5,4,2,8,3] => [3,8,2,4,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,4,7,8,5,6,1,2] => [2,1,6,5,8,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[3,4,7,2,5,1,6,8] => [8,6,1,5,2,7,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,7,2,5,8,3,6] => [6,3,8,5,2,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,2,4,7,1,5,8] => [8,5,1,7,4,2,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,4,5,7,1,2] => [2,1,7,5,4,3,8,6] => ([(0,1),(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,2,7,6,5,1,4,8] => [8,4,1,5,6,7,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,2,7,6,5,8,3,4] => [4,3,8,5,6,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,8,2,6,1,5,3,7] => [7,3,5,1,6,2,8,4] => ([(0,6),(1,2),(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,2,5,1,8,7] => [7,8,1,5,2,6,3,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,2,5,6,3,4] => [4,3,6,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[4,1,6,2,5,7,3,8] => [8,3,7,5,2,6,1,4] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,5,8,7,3,4] => [4,3,7,8,5,2,1,6] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,8,6,4,7,3,5] => [5,3,7,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,6,7,4,5,2] => [2,5,4,7,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,1,5,8,3,6,2,4] => [4,2,6,3,8,5,1,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,5,7,4,2,8,3] => [3,8,2,4,7,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,7,1,4,2,3,8] => [8,3,2,4,1,7,5,6] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,3,7,4,8,2,5,6] => [6,5,2,8,4,7,3,1] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,4,1,6,2,8] => [8,2,6,1,4,7,3,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,6,3,1,2,4] => [4,2,1,3,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[7,5,6,8,1,4,3,2] => [2,3,4,1,8,6,5,7] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[2,4,7,1,6,5,3,8] => [8,3,5,6,1,7,4,2] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,7,8,5,4,3,6] => [6,3,4,5,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[5,8,1,6,3,4,7,2] => [2,7,4,3,6,1,8,5] => ([(0,7),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,1,8,2,7,4,3] => [3,4,7,2,8,1,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,6,1,8,5,3,2,4] => [4,2,3,5,8,1,6,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,5,6,1,7,4,8,3] => [3,8,4,7,1,6,5,2] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,6,5,4,2,3] => [3,2,4,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,3,7,4,6,8,2,5] => [5,2,8,6,4,7,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,6,3,2,8,1] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[2,1,7,5,6,8,3,4] => [4,3,8,6,5,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[7,8,1,6,2,4,5,3] => [3,5,4,2,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,7,1,8,4,5,3,6] => [6,3,5,4,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,8,4,3,5,7] => [7,5,3,4,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,2,1,8,5,3,6] => [6,3,5,8,1,2,4,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[2,1,8,7,4,6,3,5] => [5,3,6,4,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[6,2,4,1,3,8,5,7] => [7,5,8,3,1,4,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,4,6,3,5,7] => [7,5,3,6,4,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,1,4,8,3,5,7] => [7,5,3,8,4,1,6,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,1,6,8,3,5,7] => [7,5,3,8,6,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,4,3,8,6,5,7] => [7,5,6,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [2,1,2,1,1,1] => 1
[6,2,8,1,4,3,5,7] => [7,5,3,4,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,1,5,3,8,7] => [7,8,3,5,1,4,2,6] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,6,8,1,5,2] => [2,5,1,8,6,7,3,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,4,6,3,7,5] => [5,7,3,6,4,8,1,2] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,4,1,8,5,6,3] => [3,6,5,8,1,4,2,7] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,3,8,5,6,4] => [4,6,5,8,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,2,8,5,6,4] => [4,6,5,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,8,4,3,2,6,7] => [7,6,2,3,4,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,5,4,3,2,6,7] => [7,6,2,3,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,6,8,5,3,7,4,2] => [2,4,7,3,5,8,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,7,4,3,5,2] => [2,5,3,4,7,1,8,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,7,4,5,6,3] => [3,6,5,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[2,8,5,7,6,4,3,1] => [1,3,4,6,7,5,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,7,1,6,4,5,3,2] => [2,3,5,4,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[1,8,6,7,5,4,3,2] => [2,3,4,5,7,6,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,5,3,6,1,2,8,7] => [7,8,2,1,6,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[4,8,3,7,1,2,6,5] => [5,6,2,1,7,3,8,4] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[3,8,1,2,5,7,6,4] => [4,6,7,5,2,1,8,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[2,1,6,7,5,8,3,4] => [4,3,8,5,7,6,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[3,4,6,2,7,8,5,1] => [1,5,8,7,2,6,4,3] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,8,2,7,6,5,4,1] => [1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[7,3,5,2,6,1,4,8] => [8,4,1,6,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,1,6,4,2,8] => [8,2,4,6,1,5,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,5,7,3,1,8,2] => [2,8,1,3,7,5,4,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,1,5,7,4,8,6] => [6,8,4,7,5,1,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,2,1,6,7,8,4,5] => [5,4,8,7,6,1,2,3] => ([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,3,1,1] => 1
[5,4,6,7,1,8,3,2] => [2,3,8,1,7,6,4,5] => ([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,4,6,7,2,8,3,1] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,3,4,2,1,7,8,5] => [5,8,7,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,2,1,5,7,3,8,6] => [6,8,3,7,5,1,2,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,3,7,2,5,6,8] => [8,6,5,2,7,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,5,4,8,3,7,2,6] => [6,2,7,3,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,8,1,4,5,3,6,2] => [2,6,3,5,4,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,1,8,6,2,4,3] => [3,4,2,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,1,8,2,6,3,5] => [5,3,6,2,8,1,4,7] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,4,2,6,3,5] => [5,3,6,2,4,8,1,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,3,8,5,2,4,7] => [7,4,2,5,8,3,6,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,8,5,2,4,7] => [7,4,2,5,8,3,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,3,6,2,5,4] => [4,5,2,6,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,8,4,2,6,5] => [5,6,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,4,1,6,5,3] => [3,5,6,1,4,8,2,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,3,6,5,1,4] => [4,1,5,6,3,8,2,7] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,3,6,1,5,4] => [4,5,1,6,3,8,2,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,2,3,6,5,4] => [4,5,6,3,2,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[6,1,2,8,3,5,4,7] => [7,4,5,3,8,2,1,6] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,3,8,4,7,6] => [6,7,4,8,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,2,3,8,4,7,6] => [6,7,4,8,3,2,1,5] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,2,3,8,1,4,7,6] => [6,7,4,1,8,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,1,3,5,4,7] => [7,4,5,3,1,8,2,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,1,8,7,3,5] => [5,3,7,8,1,4,2,6] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,1,4,2,8,5,7] => [7,5,8,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,2,8,5,7] => [7,5,8,2,4,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,8,7,1,5,4] => [4,5,1,7,8,3,6,2] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,6,3,8,5,1,4,7] => [7,4,1,5,8,3,6,2] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,1,8,3,4,7,6] => [6,7,4,3,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,1,3,8,4,7,6] => [6,7,4,8,3,1,5,2] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,5,3,8,4,7,6] => [6,7,4,8,3,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,2,4,8,3,7,6,5] => [5,6,7,3,8,4,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,4,8,1,3,7,6,5] => [5,6,7,3,1,8,4,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,4,8,3,7,1,6,5] => [5,6,1,7,3,8,4,2] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,3,7,6,1,5] => [5,1,6,7,3,8,4,2] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,3,8,1,7,4,6] => [6,4,7,1,8,3,5,2] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,4,1,3,8,7,6] => [6,7,8,3,1,4,5,2] => ([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,5,4,8,2,7,6] => [6,7,2,8,4,5,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,1,4,8,2,7,6] => [6,7,2,8,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,2,3,8,4,7,1,6] => [6,1,7,4,8,3,2,5] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,3,7,6,1,5] => [5,1,6,7,3,2,8,4] => ([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,3,7,1,6,5] => [5,6,1,7,3,2,8,4] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,8,1,2,3,7,6,5] => [5,6,7,3,2,1,8,4] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,4,8,2,3,7,6,5] => [5,6,7,3,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,4,8,3,7,2,6,5] => [5,6,2,7,3,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,8,1,5,2,4,7] => [7,4,2,5,1,8,3,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,1,2,4,7,6] => [6,7,4,2,1,8,3,5] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,1,3,8,2,4,7,6] => [6,7,4,2,8,3,1,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,8,2,4,7,6] => [6,7,4,2,8,3,5,1] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,8,2,7,6,3] => [3,6,7,2,8,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,1,4,8,2,7,6,3] => [3,6,7,2,8,4,1,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,8,1,2,7,6,3] => [3,6,7,2,1,8,4,5] => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,1,2,8,7,4,3] => [3,4,7,8,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,3,1,6,4,2,8,7] => [7,8,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,2,8,7,4,3] => [3,4,7,8,2,6,1,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,5,8,2,7,6,3] => [3,6,7,2,8,5,1,4] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,5,8,7,6,3] => [3,6,7,8,5,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,4,2,5,8,7,6,3] => [3,6,7,8,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,5,2,8,7,4,6] => [6,4,7,8,2,5,3,1] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,2,8,7,4,6] => [6,4,7,8,2,1,5,3] => ([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,6,2,8,7,5,1,4] => [4,1,5,7,8,2,6,3] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,2,6,1,8,7,3,5] => [5,3,7,8,1,6,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,3,1,5,8,2,7,6] => [6,7,2,8,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,8,7,1,4,6] => [6,4,1,7,8,2,5,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,7,1,2,6,5] => [5,6,2,1,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,4,8,1,7,2,6,5] => [5,6,2,7,1,8,4,3] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,3,4,8,7,2,6,5] => [5,6,2,7,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,4,8,2,7,6,5] => [5,6,7,2,8,4,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,8,1,2,7,6,5] => [5,6,7,2,1,8,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,4,8,2,7,1,6,5] => [5,6,1,7,2,8,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,8,2,7,6,1,5] => [5,1,6,7,2,8,4,3] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,5,8,1,7,6,3] => [3,6,7,1,8,5,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,1,2,5,8,7,6] => [6,7,8,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[3,1,4,2,5,8,7,6] => [6,7,8,5,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,8,2,1,5,3,6,4] => [4,6,3,5,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[6,4,1,2,7,3,5,8] => [8,5,3,7,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,7,5,4,1,8,6] => [6,8,1,4,5,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,5,4,2,6,3] => [3,6,2,4,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,3,5,4,1,6,2] => [2,6,1,4,5,3,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,2,5,4,1,3,6] => [6,3,1,4,5,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,8,2,5,4,6,1,3] => [3,1,6,4,5,2,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,3,6,1,4,7,8,2] => [2,8,7,4,1,6,3,5] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,2,4,7,1,8] => [8,1,7,4,2,6,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,1,7,3,8,5] => [5,8,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,5,8,6,1,2] => [2,1,6,8,5,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[4,2,7,1,8,3,6,5] => [5,6,3,8,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,2,6,7,4,8,1,5] => [5,1,8,4,7,6,2,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,1,6,7,4,8,5,2] => [2,5,8,4,7,6,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,5,3,8,4,2] => [2,4,8,3,5,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,7,6,5,3,8,1,4] => [4,1,8,3,5,6,7,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,6,5,2,4,8,3] => [3,8,4,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,6,5,3,1,4,8] => [8,4,1,3,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,1,4,8,3,5,6] => [6,5,3,8,4,1,7,2] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,6,4,8,5,1,2] => [2,1,5,8,4,6,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,7,6,3,8,4,1,2] => [2,1,4,8,3,6,7,5] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,1,6,2,4,8,3,7] => [7,3,8,4,2,6,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,5,2,1,3,8] => [8,3,1,2,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,7,6,5,2,8,1,3] => [3,1,8,2,5,6,7,4] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,7,6,5,1,8,3,2] => [2,3,8,1,5,6,7,4] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,6,5,2,8,3,4] => [4,3,8,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,6,5,3,2,8,4] => [4,8,2,3,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,7,6,5,1,2,8,3] => [3,8,2,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,7,6,5,3,1,8,2] => [2,8,1,3,5,6,7,4] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,1,3,5,4,8,7,2] => [2,7,8,4,5,3,1,6] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,2,4,7,8,3] => [3,8,7,4,2,6,1,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,6,3,4,8,7,5] => [5,7,8,4,3,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,7,2,4,8,3,6,5] => [5,6,3,8,4,2,7,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,4,2,8,3,5,7] => [7,5,3,8,2,4,1,6] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,8,2,6,3,5,7] => [7,5,3,6,2,8,1,4] => ([(0,3),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,2,1,5,3,6,8] => [8,6,3,5,1,2,7,4] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,1,6,2,3,8,5] => [5,8,3,2,6,1,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,6,8,3,5,4] => [4,5,3,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,7,4,2,8,5] => [5,8,2,4,7,6,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,8,5,4,6,1,7] => [7,1,6,4,5,8,2,3] => ([(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,3,5,8,1,2] => [2,1,8,5,3,6,7,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,7,1,2,5,3,8,6] => [6,8,3,5,2,1,7,4] => ([(0,2),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,6,5,2,4,1,8] => [8,1,4,2,5,6,7,3] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,7,6,5,1,4,8,2] => [2,8,4,1,5,6,7,3] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,7,6,5,2,1,8,4] => [4,8,1,2,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,7,6,5,8,2,4,3] => [3,4,2,8,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,7,6,5,8,1,4,2] => [2,4,1,8,5,6,7,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,7,6,5,1,2,4,8] => [8,4,2,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,1,6,8,4,2,5,7] => [7,5,2,4,8,6,1,3] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,8,3,5,1,2] => [2,1,5,3,8,6,7,4] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,7,6,5,1,4,3,8] => [8,3,4,1,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,6,5,8,1,3,4] => [4,3,1,8,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,6,5,8,4,1,3] => [3,1,4,8,5,6,7,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,2,1,7,4,8,5] => [5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,1,8,5,3,6,4,2] => [2,4,6,3,5,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,8,2,1,5,7] => [7,5,1,2,8,6,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,5,2,1,7,8,3,4] => [4,3,8,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[6,3,1,8,4,7,5,2] => [2,5,7,4,8,1,3,6] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,8,1,6,4,2] => [2,4,6,1,8,3,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,7,2,1,6,4] => [4,6,1,2,7,8,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,1,2,5,4,3,8,7] => [7,8,3,4,5,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[7,5,3,8,1,4,2,6] => [6,2,4,1,8,3,5,7] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,2,3,8,6,5,4] => [4,5,6,8,3,2,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[8,1,2,3,6,7,5,4] => [4,5,7,6,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,1,2,3,7,5,6,4] => [4,6,5,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[7,1,8,5,4,3,2,6] => [6,2,3,4,5,8,1,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,1,7,5,4,3,2,6] => [6,2,3,4,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[8,1,7,4,5,3,2,6] => [6,2,3,5,4,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,1,2,3,8,7,6,4] => [4,6,7,8,3,2,1,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[7,8,1,2,6,3,5,4] => [4,5,3,6,2,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,4,8,2,7,3,5,6] => [6,5,3,7,2,8,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,5,4,2,7,6] => [6,7,2,4,5,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,6,8,4,7,1,5] => [5,1,7,4,8,6,3,2] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,8,4,7,5,2] => [2,5,7,4,8,6,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,1,7,3,6,5] => [5,6,3,7,1,8,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,5,7,6,1,2] => [2,1,6,7,5,8,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[7,5,1,2,4,3,6,8] => [8,6,3,4,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,4,6,1,5,2,3,8] => [8,3,2,5,1,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,1,4,2,6,3,5,8] => [8,5,3,6,2,4,1,7] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,4,7,2,3,5] => [5,3,2,7,4,1,8,6] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,4,2,8,3,5,7] => [7,5,3,8,2,4,6,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,3,8,5,4,2,7] => [7,2,4,5,8,3,6,1] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,7,3,5,4,2] => [2,4,5,3,7,1,8,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,6,5,4,2,8] => [8,2,4,5,6,3,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,1,6,5,4,2,8] => [8,2,4,5,6,1,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,2,1,4,6,3,5,8] => [8,5,3,6,4,1,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,1,2,3,6,5,4,8] => [8,4,5,6,3,2,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[6,8,1,2,7,3,5,4] => [4,5,3,7,2,1,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,2,3,8,5,4,7] => [7,4,5,8,3,2,6,1] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,2,7,6,3,4] => [4,3,6,7,2,8,5,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,2,7,6,3,4] => [4,3,6,7,2,8,1,5] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,8,1,7,3,5,4] => [4,5,3,7,1,8,2,6] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,1,7,4,3,5] => [5,3,4,7,1,2,8,6] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,1,2,8,5,7] => [7,5,8,2,1,4,6,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,3,8,5,4,7] => [7,4,5,8,3,6,1,2] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,1,8,7,6,3,4] => [4,3,6,7,8,1,5,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[2,4,8,7,6,5,1,3] => [3,1,5,6,7,8,4,2] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,5,3,8,7,1,6,4] => [4,6,1,7,8,3,5,2] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,4,1,7,6,3] => [3,6,7,1,4,8,5,2] => ([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,8,7,1,4,2,6] => [6,2,4,1,7,8,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,4,1,7,6,2] => [2,6,7,1,4,8,3,5] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,8,7,6,3,5,1] => [1,5,3,6,7,8,2,4] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[4,2,8,7,6,5,3,1] => [1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[4,1,8,7,6,5,3,2] => [2,3,5,6,7,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[6,3,1,8,7,2,5,4] => [4,5,2,7,8,1,3,6] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[5,8,3,7,6,1,4,2] => [2,4,1,6,7,3,8,5] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,3,8,7,6,2,4] => [4,2,6,7,8,3,1,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,3,8,7,6,2,4] => [4,2,6,7,8,3,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,8,4,7,2,6,3] => [3,6,2,7,4,8,5,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,8,4,7,2,6,3] => [3,6,2,7,4,8,1,5] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,4,6,1,2,3] => [3,2,1,6,4,7,8,5] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,8,5,1,2,4,7,3] => [3,7,4,2,1,5,8,6] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,1,2,4,8,7] => [7,8,4,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[5,6,2,4,3,1,8,7] => [7,8,1,3,4,2,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[5,6,1,2,4,3,8,7] => [7,8,3,4,2,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[4,5,8,1,7,2,3,6] => [6,3,2,7,1,8,5,4] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[4,5,8,1,7,2,6,3] => [3,6,2,7,1,8,5,4] => ([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,8,7,4,6,2] => [2,6,4,7,8,1,5,3] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,8,7,2,6,4] => [4,6,2,7,8,1,5,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,1,2,8,5,7] => [7,5,8,2,1,6,3,4] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,8,3,1,7,2,6] => [6,2,7,1,3,8,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,2,8,7,1,3,6] => [6,3,1,7,8,2,5,4] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,2,5,8,7,1,6,4] => [4,6,1,7,8,5,2,3] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,7,6,2,1,5] => [5,1,2,6,7,8,4,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,4,8,7,6,2,5] => [5,2,6,7,8,4,1,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,8,7,6,5,1,2] => [2,1,5,6,7,8,4,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => 2
[1,3,4,8,7,6,2,5] => [5,2,6,7,8,4,3,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,8,7,6,2,5,1] => [1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,5,8,3,1,7,6,2] => [2,6,7,1,3,8,5,4] => ([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,6,7,5,3,4] => [4,3,5,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[5,6,2,8,1,7,4,3] => [3,4,7,1,8,2,6,5] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,8,4,5,7,2,6,3] => [3,6,2,7,5,4,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,3,7,5,2,4] => [4,2,5,7,3,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,5,4,3,2,7,6] => [6,7,2,3,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,3,2] => 2
[5,3,7,8,6,4,1,2] => [2,1,4,6,8,7,3,5] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[7,4,6,5,1,8,3,2] => [2,3,8,1,5,6,4,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,6,7,5,3,8,1,2] => [2,1,8,3,5,7,6,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,7,6,5,1,4,2,8] => [8,2,4,1,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,1,8,6,4,7,5,2] => [2,5,7,4,6,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,7,4,6,5,3] => [3,5,6,4,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[7,8,5,6,3,1,4,2] => [2,4,1,3,6,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[7,8,5,3,6,1,2,4] => [4,2,1,6,3,5,8,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,5,8,3,1,4,2,6] => [6,2,4,1,3,8,5,7] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,5,3,6,1,4,2] => [2,4,1,6,3,5,8,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[7,8,5,3,6,4,1,2] => [2,1,4,6,3,5,8,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[7,8,5,3,1,2,6,4] => [4,6,2,1,3,5,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[7,5,8,3,4,1,6,2] => [2,6,1,4,3,8,5,7] => ([(0,6),(1,5),(2,3),(2,7),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,4,6,1,2] => [2,1,6,4,3,8,5,7] => ([(0,3),(1,2),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,5,6,3,4,1,8,2] => [2,8,1,4,3,6,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,5,6,3,1,4,8,2] => [2,8,4,1,3,6,5,7] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,6,3,1,2,8,4] => [4,8,2,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,5,3,4,1,2,8,6] => [6,8,2,1,4,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[7,5,3,1,4,2,6,8] => [8,6,2,4,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,6,4,8,2] => [2,8,4,6,1,3,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,1,4,8,2] => [2,8,4,1,6,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,4,1,8,2] => [2,8,1,4,6,3,5,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,1,4,6,2] => [2,6,4,1,8,3,5,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,8,2,6,4] => [4,6,2,8,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,8,2,4,6] => [6,4,2,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,6,2,4,8] => [8,4,2,6,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,8,4,2,6] => [6,2,4,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,8,6,2,4] => [4,2,6,8,1,3,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,5,3,8,1,6,4,2] => [2,4,6,1,8,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,8,6,1,4,2] => [2,4,1,6,8,3,5,7] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,6,4,1,2] => [2,1,4,6,3,8,5,7] => ([(0,1),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[7,5,8,3,6,1,4,2] => [2,4,1,6,3,8,5,7] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,1,6,4,2] => [2,4,6,1,3,8,5,7] => ([(0,7),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,6,3,1,4,2] => [2,4,1,3,6,8,5,7] => ([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [2,2,2,2] => 2
[7,5,8,6,3,4,1,2] => [2,1,4,3,6,8,5,7] => ([(0,3),(1,2),(4,7),(5,6),(6,7)],8) => [1,3,1,3] => 3
[7,5,6,3,8,1,2,4] => [4,2,1,8,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,5,3,4,1,6,2,8] => [8,2,6,1,4,3,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,6,3,1,8,2,4] => [4,2,8,1,3,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,6,3,1,8,4,2] => [2,4,8,1,3,6,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,6,3,8,1,4,2] => [2,4,1,8,3,6,5,7] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,3,6,8,1,4,2] => [2,4,1,8,6,3,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,6,1,8,4,2] => [2,4,8,1,6,3,5,7] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,6,8,4,2] => [2,4,8,6,1,3,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,6,8,2,4] => [4,2,8,6,1,3,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,2,6,4,8] => [8,4,6,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,2,8,6,4] => [4,6,8,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,4,8,6,2] => [2,6,8,4,1,3,5,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,4,1,8,6,2] => [2,6,8,1,4,3,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,4,8,1,6,2] => [2,6,1,8,4,3,5,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,4,8,6,1,2] => [2,1,6,8,4,3,5,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[7,5,3,4,1,6,8,2] => [2,8,6,1,4,3,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,4,6,8,2] => [2,8,6,4,1,3,5,7] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,2,6,8,4] => [4,8,6,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,3,1,2,4,8,6] => [6,8,4,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,5,8,4,7,6,3] => [3,6,7,4,8,5,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,4,3,2,8,6,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[5,4,3,7,2,6,1,8] => [8,1,6,2,7,3,4,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,4,6,2,5,3,1,8] => [8,1,3,5,2,6,4,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[2,1,8,6,5,4,3,7] => [7,3,4,5,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[1,2,7,5,4,3,8,6] => [6,8,3,4,5,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,2,5,6,4,3,1,8] => [8,1,3,4,6,5,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,2,7,8,3,6,5,4] => [4,5,6,3,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,1,6,4,2,3,5,8] => [8,5,3,2,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,4,8,2,5,3,7] => [7,3,5,2,8,4,6,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,5,2,8,4,3] => [3,4,8,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,5,7,6,2,4,8,3] => [3,8,4,2,6,7,5,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,4,2,3,7,5] => [5,7,3,2,4,8,6,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,4,2,3,8,5] => [5,8,3,2,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,4,3,5,8,2] => [2,8,5,3,4,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,6,4,2,7,5,3] => [3,5,7,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,3,7,8,6,1,5] => [5,1,6,8,7,3,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,7,3,8,2,5,6] => [6,5,2,8,3,7,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,3,7,8,6,1,5] => [5,1,6,8,7,3,2,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,6,8,3,4,1,2] => [2,1,4,3,8,6,7,5] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[3,7,4,6,5,8,1,2] => [2,1,8,5,6,4,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[3,5,4,8,6,7,1,2] => [2,1,7,6,8,4,5,3] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,8,1,5,2,4,3,6] => [6,3,4,2,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,7,6,8,2,5,3,4] => [4,3,5,2,8,6,7,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,8,5,6,1,3,2,4] => [4,2,3,1,6,5,8,7] => ([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[7,8,1,3,2,6,4,5] => [5,4,6,2,3,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,3,7,5,2,6,8,4] => [4,8,6,2,5,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,6,4,3,7,8,5] => [5,8,7,3,4,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,4,7,3,2,5,8,6] => [6,8,5,2,3,7,4,1] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,3,2,8,6,4] => [4,6,8,2,3,5,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,1,4,5,3,2,8,7] => [7,8,2,3,5,4,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[7,2,8,4,3,5,6,1] => [1,6,5,3,4,8,2,7] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,8,3,7,1,5,6,4] => [4,6,5,1,7,3,8,2] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,1,3,2,8,5,7] => [7,5,8,2,3,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,2,4,5,3,7] => [7,3,5,4,2,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,5,4,3,1,6,7,2] => [2,7,6,1,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,2,8,1,3,6,4,5] => [5,4,6,3,1,8,2,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,7,1,2,8,3] => [3,8,2,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,7,1,4,2,8] => [8,2,4,1,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,1,5,4,3,2,6,7] => [7,6,2,3,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[8,1,7,2,5,4,3,6] => [6,3,4,5,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,1,5,4,3,6,2,7] => [7,2,6,3,4,5,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[8,1,5,4,3,6,7,2] => [2,7,6,3,4,5,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[4,7,5,6,2,3,1,8] => [8,1,3,2,6,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[4,7,5,6,3,8,1,2] => [2,1,8,3,6,5,7,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,5,3,8,6,7,1,2] => [2,1,7,6,8,3,5,4] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,6,4,5,2,7,1,8] => [8,1,7,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,5,1,8,2,7] => [7,2,8,1,5,4,6,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,5,3,4,1,6] => [6,1,4,3,5,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,6,4,7,3,5,1,8] => [8,1,5,3,7,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,3,6,4,5,1,8] => [8,1,5,4,6,3,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,8,4,6,3,5] => [5,3,6,4,8,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,5,6,3,4,1,8] => [8,1,4,3,6,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,7,2,5,3,4,1,8] => [8,1,4,3,5,2,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,7,5,8,1,4,2,3] => [3,2,4,1,8,5,7,6] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[5,8,6,7,2,3,1,4] => [4,1,3,2,7,6,8,5] => ([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,2,2,2] => 2
[7,8,2,3,1,6,4,5] => [5,4,6,1,3,2,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[4,5,1,8,2,7,3,6] => [6,3,7,2,8,1,5,4] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,5,3,6,1,8,2,7] => [7,2,8,1,6,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,3,2,1,4,7,6,5] => [5,6,7,4,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[2,1,4,7,6,3,8,5] => [5,8,3,6,7,4,1,2] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,2,7,5,4,6] => [6,4,5,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,3,4,5,7,6] => [6,7,5,4,3,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,2,8,3,6,4,5,7] => [7,5,4,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,8,2,3,4,6,7,5] => [5,7,6,4,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[7,3,6,1,5,2,4,8] => [8,4,2,5,1,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,4,1,2,8,3] => [3,8,2,1,4,5,7,6] => ([(0,7),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,2,1,7,5,3,8,4] => [4,8,3,5,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,3,7,5,1,8] => [8,1,5,7,3,6,4,2] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,5,3,6,4,1,8] => [8,1,4,6,3,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,4,2,3,5,6] => [6,5,3,2,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[1,2,3,8,7,6,4,5] => [5,4,6,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[2,6,4,7,1,5,3,8] => [8,3,5,1,7,4,6,2] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,6,7,1,4,3,2] => [2,3,4,1,7,6,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[3,2,4,8,6,1,5,7] => [7,5,1,6,8,4,2,3] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,5,1,2,6,7] => [7,6,2,1,5,8,3,4] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,2,6,7,5,1,3,8] => [8,3,1,5,7,6,2,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,6,7,5,2,3,8] => [8,3,2,5,7,6,1,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,2,7,8,4,5] => [5,4,8,7,2,3,1,6] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,6,2,5,3,4,7] => [7,4,3,5,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,5,8,6,2,4] => [4,2,6,8,5,3,7,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,8,1,2,3,5,4] => [4,5,3,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,6,8,2,1,3,5,4] => [4,5,3,1,2,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[7,1,8,2,5,4,6,3] => [3,6,4,5,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,6,8,5,4,3] => [3,4,5,8,6,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,7,8,5,6,1,3,2] => [2,3,1,6,5,8,7,4] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[4,6,5,8,7,1,3,2] => [2,3,1,7,8,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[5,4,6,7,1,2,8,3] => [3,8,2,1,7,6,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,3,4,2,1,8,6,7] => [7,6,8,1,2,4,3,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[8,1,7,2,4,5,6,3] => [3,6,5,4,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[5,4,2,3,1,6,8,7] => [7,8,6,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[8,1,4,3,5,6,2,7] => [7,2,6,5,3,4,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[5,6,1,4,2,3,8,7] => [7,8,3,2,4,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[4,7,5,6,3,2,1,8] => [8,1,2,3,6,5,7,4] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[6,1,4,2,8,7,5,3] => [3,5,7,8,2,4,1,6] => ([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,2,4,1,7,6,3] => [3,6,7,1,4,2,8,5] => ([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,3,1,2,6] => [6,2,1,3,7,4,8,5] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,4,8,3,7,5,6,2] => [2,6,5,7,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,3,8,2,1,7] => [7,1,2,8,3,4,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[1,3,8,6,4,7,5,2] => [2,5,7,4,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,3,1,6,8,4] => [4,8,6,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,4,7,6,5,3,2] => [2,3,5,6,7,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[5,4,7,3,2,1,6,8] => [8,6,1,2,3,7,4,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,3,7,2,1,4,8] => [8,4,1,2,7,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,2,7,5,1,3,8] => [8,3,1,5,7,2,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,7,6,5,1,3,8] => [8,3,1,5,6,7,2,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,4,7,3,1,8,6,2] => [2,6,8,1,3,7,4,5] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,5,4,2,1,7,3,8] => [8,3,7,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,2,7,1,5,4,3,8] => [8,3,4,5,1,7,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,1,6,5,4,3,7] => [7,3,4,5,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,1,7,6,5,4,8,2] => [2,8,4,5,6,7,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,4,5,6,8,1,7,2] => [2,7,1,8,6,5,4,3] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,7,2,3,5,4,6,8] => [8,6,4,5,3,2,7,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[8,1,7,5,4,2,3,6] => [6,3,2,4,5,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,7,2,6,5,4,3,8] => [8,3,4,5,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[8,1,7,6,3,2,4,5] => [5,4,2,3,6,7,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[8,7,2,1,6,5,4,3] => [3,4,5,6,1,2,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,3] => 3
[2,1,8,5,7,6,3,4] => [4,3,6,7,5,8,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[3,6,8,7,5,4,1,2] => [2,1,4,5,7,8,6,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,2,4,3,1,5,8,6] => [6,8,5,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,3,1,4,5,8,7] => [7,8,5,4,1,3,2,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[6,3,5,4,1,2,8,7] => [7,8,2,1,4,5,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[1,5,7,8,4,6,2,3] => [3,2,6,4,8,7,5,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,7,8,6,3,4] => [4,3,6,8,7,2,5,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,8,6,3,4,2] => [2,4,3,6,8,7,1,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,1,3,7,8,6,4,2] => [2,4,6,8,7,3,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,3,7,5,8,2,4] => [4,2,8,5,7,3,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,1,8,2,6,4] => [4,6,2,8,1,5,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,1,7,8,5,2] => [2,5,8,7,1,3,4,6] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,4,5,8,3,2] => [2,3,8,5,4,6,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[3,4,2,5,8,6,7,1] => [1,7,6,8,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[1,2,8,3,5,6,7,4] => [4,7,6,5,3,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[3,4,7,8,2,1,6,5] => [5,6,1,2,8,7,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,5,1,7,8,4,2,6] => [6,2,4,8,7,1,5,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,8,7,2,1,6,5] => [5,6,1,2,7,8,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,6,2,7,8,4,1,3] => [3,1,4,8,7,2,6,5] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,2,3,4,6,8] => [8,6,4,3,2,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[6,8,1,5,3,2,4,7] => [7,4,2,3,5,1,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,6,4,2,3,5] => [5,3,2,4,6,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,8,7,6,4,3,5,1] => [1,5,3,4,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[3,8,7,4,5,6,2,1] => [1,2,6,5,4,7,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[1,8,7,6,5,2,3,4] => [4,3,2,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[3,4,1,2,8,6,7,5] => [5,7,6,8,2,1,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[4,2,3,1,7,8,5,6] => [6,5,8,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [1,3,3,1] => 1
[1,8,5,3,6,2,7,4] => [4,7,2,6,3,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,1,7,6,8,2] => [2,8,6,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,2,7,8,5,6,3,4] => [4,3,6,5,8,7,2,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,2,6,4,8,3,7,5] => [5,7,3,8,4,6,2,1] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[2,3,8,7,4,1,6,5] => [5,6,1,4,7,8,3,2] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,6,7,3,4,8,1] => [1,8,4,3,7,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,3,7,6,4,5,8,1] => [1,8,5,4,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[5,2,4,1,7,8,6,3] => [3,6,8,7,1,4,2,5] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,1,2,8,6,7,5] => [5,7,6,8,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[1,2,3,8,7,4,5,6] => [6,5,4,7,8,3,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,8,4,3,2,5,6,7] => [7,6,5,2,3,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[8,1,7,4,6,5,3,2] => [2,3,5,6,4,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,2,7,1,6,5,4,3] => [3,4,5,6,1,7,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[8,1,7,2,6,5,4,3] => [3,4,5,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[6,8,2,5,1,4,3,7] => [7,3,4,1,5,2,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,4,7,1,3,2,6] => [6,2,3,1,7,4,8,5] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,6,8,2,5,1,4] => [4,1,5,2,8,6,7,3] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,2,6,1,5,4,8] => [8,4,5,1,6,2,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,6,5,8,4,7,1,3] => [3,1,7,4,8,5,6,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,8,4,1,7,5,3] => [3,5,7,1,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,7,4,1,5,3,8] => [8,3,5,1,4,7,2,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,8,2,6,1,7] => [7,1,6,2,8,4,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,5,3,8,2,1,7] => [7,1,2,8,3,5,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,3,5,7,1,8,2] => [2,8,1,7,5,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,7,2,6,1,8] => [8,1,6,2,7,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,1,2,4,6,5] => [5,6,4,2,1,3,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,8,1,7,4,2,3,5] => [5,3,2,4,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,8,5,3,4,6] => [6,4,3,5,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,1,2,3,8,7,5,4] => [4,5,7,8,3,2,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[6,8,1,4,2,3,7,5] => [5,7,3,2,4,1,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,8,5,7,1,2] => [2,1,7,5,8,6,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[6,1,2,5,4,8,3,7] => [7,3,8,4,5,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,1,4,6,3,5] => [5,3,6,4,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[7,2,1,5,8,3,4,6] => [6,4,3,8,5,1,2,7] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,8,5,1,3,6,7] => [7,6,3,1,5,8,4,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,6,8,7,4,2,5] => [5,2,4,7,8,6,3,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,5,8,6,4,1,3] => [3,1,4,6,8,5,7,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,6,7,5,4,3,1] => [1,3,4,5,7,6,2,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[1,6,7,4,5,3,8,2] => [2,8,3,5,4,7,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[8,2,3,7,6,4,5,1] => [1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[1,6,7,4,8,2,3,5] => [5,3,2,8,4,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,8,5,4,3,6,7] => [7,6,3,4,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[2,1,5,6,8,3,7,4] => [4,7,3,8,6,5,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[1,4,6,3,5,7,8,2] => [2,8,7,5,3,6,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,6,8,5,2,7,4] => [4,7,2,5,8,6,3,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,7,5,6,8,4,3] => [3,4,8,6,5,7,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[6,4,5,7,2,8,1,3] => [3,1,8,2,7,5,4,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,6,2,3,4,5,8] => [8,5,4,3,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[8,1,6,2,3,4,5,7] => [7,5,4,3,2,6,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[1,7,6,2,3,4,5,8] => [8,5,4,3,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,2,1] => 1
[1,8,6,2,3,4,5,7] => [7,5,4,3,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,2,7,4,1,3,6,8] => [8,6,3,1,4,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,6,2,8,7,5] => [5,7,8,2,6,4,1,3] => ([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,5,3,2,6,7] => [7,6,2,3,5,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,1,6,3,4,2,5,8] => [8,5,2,4,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,4,2,7,5,8] => [8,5,7,2,4,1,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,1,5,8,7,3,6] => [6,3,7,8,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,3,7,2,8,5] => [5,8,2,7,3,6,4,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,2,5,4,3,1,8] => [8,1,3,4,5,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[4,5,1,3,7,2,8,6] => [6,8,2,7,3,1,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,7,5,2,8,4] => [4,8,2,5,7,3,1,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,2,6,5,4,3] => [3,4,5,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[2,8,7,1,6,5,4,3] => [3,4,5,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,1,1] => 1
[3,4,6,5,1,2,8,7] => [7,8,2,1,5,6,4,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[5,3,6,4,2,8,1,7] => [7,1,8,2,4,6,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,5,4,8,1,7] => [7,1,8,4,5,3,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,2,7,3,1,8] => [8,1,3,7,2,4,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,1,7,4,2,5,3,8] => [8,3,5,2,4,7,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,6,3,5,4,1,8] => [8,1,4,5,3,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,6,5,2,4,3,8] => [8,3,4,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[6,1,8,2,4,3,7,5] => [5,7,3,4,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,2,4,3,8,6] => [6,8,3,4,2,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,2,6,3,5,4] => [4,5,3,6,2,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,7,5,4,6,3] => [3,6,4,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,2,7,4,3,5,6] => [6,5,3,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,6,4,7,2,3,5] => [5,3,2,7,4,6,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,4,2,6,3,5,7] => [7,5,3,6,2,4,8,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,1,5,2,3,6] => [6,3,2,5,1,8,4,7] => ([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,1,7,2,6,3,5,8] => [8,5,3,6,2,7,1,4] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,8,3,2,4,1,6] => [6,1,4,2,3,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,4,3,6,2,7] => [7,2,6,3,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,5,4,3,7,2,6] => [6,2,7,3,4,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,4,2,5,3,7,6] => [6,7,3,5,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,5,4,2,6,7,3] => [3,7,6,2,4,5,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,8,2,1,3,5,6] => [6,5,3,1,2,8,4,7] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,7,3,2,5,6,8] => [8,6,5,2,3,7,1,4] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,7,2,6,8,4,5] => [5,4,8,6,2,7,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,4,2,6,8,3] => [3,8,6,2,4,7,1,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,6,3,2,5,8,7] => [7,8,5,2,3,6,1,4] => ([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,7,1,2,8,6] => [6,8,2,1,7,3,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,4,3,7,1,8,2] => [2,8,1,7,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,4,2,7,1,6,8,3] => [3,8,6,1,7,2,4,5] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,1,7,3,8,2,4] => [4,2,8,3,7,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,3,8,2,7,1] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,3,1,2] => 2
[7,6,3,8,5,4,1,2] => [2,1,4,5,8,3,6,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,4,8,2,1,7,3,6] => [6,3,7,1,2,8,4,5] => ([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[5,4,3,8,1,6,2,7] => [7,2,6,1,8,3,4,5] => ([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,2,8,5,1,3,7] => [7,3,1,5,8,2,4,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,4,8,5,1,2,3] => [3,2,1,5,8,4,6,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,2,8,6,3,1,4,5] => [5,4,1,3,6,8,2,7] => ([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,8,6,1,5,3,4] => [4,3,5,1,6,8,2,7] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,8,3,6,4,5] => [5,4,6,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,4,1,7,8,2,3,5] => [5,3,2,8,7,1,4,6] => ([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[4,2,1,6,7,3,5,8] => [8,5,3,7,6,1,2,4] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,7,3,8,1,6] => [6,1,8,3,7,2,4,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,5,3,2,8,6,7] => [7,6,8,2,3,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,2,8,7,4,5] => [5,4,7,8,2,6,1,3] => ([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,7,8,5,2,4] => [4,2,5,8,7,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,1,7,8,3,2] => [2,3,8,7,1,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,4,3,1,6,7,2,8] => [8,2,7,6,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,5,4,2,7,8,3,1] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,4,2,1,6,7,8,3] => [3,8,7,6,1,2,4,5] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[5,4,3,1,6,7,8,2] => [2,8,7,6,1,3,4,5] => ([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,8,3,1,2,5,6,4] => [4,6,5,2,1,3,8,7] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[7,8,1,3,2,4,6,5] => [5,6,4,2,3,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,8,2,1,3,5,4,6] => [6,4,5,3,1,2,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,5,3,6,1,8,7,4] => [4,7,8,1,6,3,5,2] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,2,7,8,6,5] => [5,6,8,7,2,1,3,4] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[5,3,4,7,8,6,1,2] => [2,1,6,8,7,4,3,5] => ([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[3,5,4,6,8,7,1,2] => [2,1,7,8,6,4,5,3] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,2,5,7,6,1,8,3] => [3,8,1,6,7,5,2,4] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,8,3,2,4,7,5] => [5,7,4,2,3,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,5,7,6,8,1,2] => [2,1,8,6,7,5,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,2,1,8,3,6,4,7] => [7,4,6,3,8,1,2,5] => ([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,2,1,8,7,5,6] => [6,5,7,8,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[4,6,7,1,5,2,3,8] => [8,3,2,5,1,7,6,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,2,7,4,5,1,3,8] => [8,3,1,5,4,7,2,6] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,2,4,1,6,8] => [8,6,1,4,2,5,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,4,6,8,1,2] => [2,1,8,6,4,5,7,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,7,4,6,5,8,3,2] => [2,3,8,5,6,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,2,1,5,7,4,6,8] => [8,6,4,7,5,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,7,1,8,3,5,6,4] => [4,6,5,3,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,3,6,4,5,7] => [7,5,4,6,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[2,1,8,3,6,7,4,5] => [5,4,7,6,3,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,6,3,2,4,5,7] => [7,5,4,2,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,7,2,4,5,6,3] => [3,6,5,4,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,7,6,3,2,4,5,8] => [8,5,4,2,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[3,7,4,8,6,5,1,2] => [2,1,5,6,8,4,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,8,2,7,6,4,5,3] => [3,5,4,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,6,7,4,2,5,3] => [3,5,2,4,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[4,1,2,7,6,5,8,3] => [3,8,5,6,7,2,1,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,4,5,2,3,8,1,7] => [7,1,8,3,2,5,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[3,2,6,7,5,1,4,8] => [8,4,1,5,7,6,2,3] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,2,3,5,7,4,6] => [6,4,7,5,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,7,3,6,1,4,5,8] => [8,5,4,1,6,3,7,2] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,5,1,6,7,3,4] => [4,3,7,6,1,5,2,8] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,6,5,1,2,4,3,8] => [8,3,4,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,6,5,1,3,2,4,8] => [8,4,2,3,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,8,5,4,1,6,3,2] => [2,3,6,1,4,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,8,7,1,3,2,4,5] => [5,4,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[3,4,2,1,8,6,7,5] => [5,7,6,8,1,2,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,4,1] => 1
[6,4,5,8,3,1,2,7] => [7,2,1,3,8,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,6,8,1,5,2,4,7] => [7,4,2,5,1,8,6,3] => ([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,5,6,2,1,8] => [8,1,2,6,5,7,4,3] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[3,7,2,5,6,4,1,8] => [8,1,4,6,5,2,7,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,5,2,7,4,3] => [3,4,7,2,5,8,6,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,4,3,1,2,8,5] => [5,8,2,1,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,4,3,7,1,8,6] => [6,8,1,7,3,4,2,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,3,5,2,8,6] => [6,8,2,5,3,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,2,5,7,4,6] => [6,4,7,5,2,8,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,6,2,1,4,5,8] => [8,5,4,1,2,6,3,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,1,5,3,2,8] => [8,2,3,5,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,2,7,6,5,3,1,8] => [8,1,3,5,6,7,2,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,3,4,5,2,6,7] => [7,6,2,5,4,3,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[6,2,8,4,1,5,7,3] => [3,7,5,1,4,8,2,6] => ([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,7,2,5,1,4,8] => [8,4,1,5,2,7,6,3] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,3,1,5,2,8] => [8,2,5,1,3,7,6,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,1,3,5,2,7,4] => [4,7,2,5,3,1,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,1,4,5,7,2] => [2,7,5,4,1,3,8,6] => ([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,8,2,3,4,7,5] => [5,7,4,3,2,8,1,6] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,1,8,4,6,3,7,2] => [2,7,3,6,4,8,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,8,3,5,7,2,6] => [6,2,7,5,3,8,1,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,4,7,5,8,1] => [1,8,5,7,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[4,5,2,7,1,6,8,3] => [3,8,6,1,7,2,5,4] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,1,6,5,8,2,7] => [7,2,8,5,6,1,4,3] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,8,5,7,3,6] => [6,3,7,5,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,4,8,6,2,7,3] => [3,7,2,6,8,4,1,5] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,4,8,5,6,2] => [2,6,5,8,4,1,3,7] => ([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,8,7,1,5,3] => [3,5,1,7,8,2,4,6] => ([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,4,8,1,5,3,6] => [6,3,5,1,8,4,2,7] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,7,5,1,4,8] => [8,4,1,5,7,3,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,6,7,1,8,4,5] => [5,4,8,1,7,6,2,3] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[4,6,3,1,7,8,5,2] => [2,5,8,7,1,3,6,4] => ([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,6,7,8,4,2] => [2,4,8,7,6,1,3,5] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,1,6,2,7,8,5,3] => [3,5,8,7,2,6,1,4] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,3,4,8,7,5,6] => [6,5,7,8,4,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[8,6,1,4,2,3,5,7] => [7,5,3,2,4,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[6,2,3,8,1,4,5,7] => [7,5,4,1,8,3,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,4,2,7,1,5,8] => [8,5,1,7,2,4,6,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,4,2,7,8,3] => [3,8,7,2,4,5,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,6,8,7,5,2,4] => [4,2,5,7,8,6,3,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,8,1,7,5,6,4,2] => [2,4,6,5,7,1,8,3] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[1,5,8,7,2,6,4,3] => [3,4,6,2,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,4,1,3,5,8,7,6] => [6,7,8,5,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,2,1,6,3,5,7,8] => [8,7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,4,3,6,8,5,7,2] => [2,7,5,8,6,3,4,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,3,8,6,5,7,2] => [2,7,5,6,8,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,4,2,7,3,1,8] => [8,1,3,7,2,4,6,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,8,6,5,1,2] => [2,1,5,6,8,7,3,4] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[1,5,8,6,2,3,7,4] => [4,7,3,2,6,8,5,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,3,1,6,5,7] => [7,5,6,1,3,8,4,2] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,7,1,8,6,3,4] => [4,3,6,8,1,7,2,5] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,3,1,1,1] => 1
[2,6,1,3,8,7,4,5] => [5,4,7,8,3,1,6,2] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,8,1,7,3,4] => [4,3,7,1,8,2,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(4,6),(5,6),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,8,7,6,3,2,4,5] => [5,4,2,3,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[6,3,5,4,7,2,1,8] => [8,1,2,7,4,5,3,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[8,1,6,4,5,3,2,7] => [7,2,3,5,4,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,2] => 2
[8,1,3,5,4,6,2,7] => [7,2,6,4,5,3,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[8,1,6,2,4,3,5,7] => [7,5,3,4,2,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[1,7,6,2,4,3,5,8] => [8,5,3,4,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,7,6,3,4,5,2,8] => [8,2,5,4,3,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,7,2,5,4,3,6,8] => [8,6,3,4,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[8,1,6,3,4,5,2,7] => [7,2,5,4,3,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[1,8,3,2,5,7,4,6] => [6,4,7,5,2,3,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,2,8,5,1,7,3] => [3,7,1,5,8,2,4,6] => ([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,6,4,2,3,8,7] => [7,8,3,2,4,6,1,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,8,6,1,5,2,3] => [3,2,5,1,6,8,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[3,2,4,7,8,1,5,6] => [6,5,1,8,7,4,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,8,7,6,1,4,2,3] => [3,2,4,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[7,1,3,2,8,6,4,5] => [5,4,6,8,2,3,1,7] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,8,6,1,4,3,2] => [2,3,4,1,6,8,7,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[1,6,4,5,2,8,7,3] => [3,7,8,2,5,4,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,4,1,6,3,2,8] => [8,2,3,6,1,4,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,8,6,3,2,5] => [5,2,3,6,8,4,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,8,3,6,7,5,2] => [2,5,7,6,3,8,4,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,5,6,7,4,3] => [3,4,7,6,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,3,1,8,5,7,6,2] => [2,6,7,5,8,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,3,1,8,2,7,4,5] => [5,4,7,2,8,1,3,6] => ([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,4,5,8,2,3,7] => [7,3,2,8,5,4,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,8,6,7,4,2] => [2,4,7,6,8,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,2,5,6,1,8] => [8,1,6,5,2,3,7,4] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,6,2,8,1,7] => [7,1,8,2,6,4,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,3,1,2,8,4] => [4,8,2,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,6,5,7,3,1,4,8] => [8,4,1,3,7,5,6,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,4,1,3,6,5] => [5,6,3,1,4,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[2,6,1,5,4,7,8,3] => [3,8,7,4,5,1,6,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,5,8,7,1,2] => [2,1,7,8,5,3,6,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[3,5,6,1,4,8,7,2] => [2,7,8,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,3,6,8,4,1,5,7] => [7,5,1,4,8,6,3,2] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,2,1,3,6,8] => [8,6,3,1,2,5,7,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,8,4,1,5,3,2] => [2,3,5,1,4,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[1,8,4,6,7,5,3,2] => [2,3,5,7,6,4,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[8,1,4,5,6,7,3,2] => [2,3,7,6,5,4,1,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,2] => 2
[5,1,8,4,2,6,3,7] => [7,3,6,2,4,8,1,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,6,2,5,3,7] => [7,3,5,2,6,4,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,5,2,3,4,7,8] => [8,7,4,3,2,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[1,8,7,2,3,6,5,4] => [4,5,6,3,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,7,3,8,2,6,4,5] => [5,4,6,2,8,3,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,2,3,5,6,8] => [8,6,5,3,2,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[2,4,7,5,6,8,3,1] => [1,3,8,6,5,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,4,8,7,5,6,3,1] => [1,3,6,5,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,3,8,5,1,6,4,2] => [2,4,6,1,5,8,3,7] => ([(0,6),(1,4),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,2,5,7,4,6] => [6,4,7,5,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,7,1,6,4,5,3] => [3,5,4,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,5,7,1,2,6,3,8] => [8,3,6,2,1,7,5,4] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,7,1,3,5,6,4,8] => [8,4,6,5,3,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,3,4,6,7,5] => [5,7,6,4,3,1,8,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,6,7,5,3,8,4,2] => [2,4,8,3,5,7,6,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,8,4,6,1,2] => [2,1,6,4,8,3,7,5] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,2] => 2
[1,8,2,4,6,3,5,7] => [7,5,3,6,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,2,8,3,5,1,4,6] => [6,4,1,5,3,8,2,7] => ([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,5,3,6,2,7] => [7,2,6,3,5,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,3,4,7,2,6] => [6,2,7,4,3,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,5,4,6,7,3] => [3,7,6,4,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,2,7,1,4,5,8] => [8,5,4,1,7,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,4,6,2,8,5] => [5,8,2,6,4,7,3,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,2,7,1,3,8,6] => [6,8,3,1,7,2,5,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,3,7,1,8,2] => [2,8,1,7,3,5,6,4] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,3,8,6,7,1,5] => [5,1,7,6,8,3,2,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,4,8,1,3,7,6] => [6,7,3,1,8,4,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,4,8,1,6,7] => [7,6,1,8,4,3,2,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,5,2,4,7,1,6,8] => [8,6,1,7,4,2,5,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,7,1,6,2,8] => [8,2,6,1,7,3,5,4] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,3,8,5,1,2,4] => [4,2,1,5,8,3,6,7] => ([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,7,3,8,1,5] => [5,1,8,3,7,6,2,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,2,8,6,3] => [3,6,8,2,4,7,5,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,6,8,2,7,4] => [4,7,2,8,6,3,5,1] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,6,5,7,8,1,2] => [2,1,8,7,5,6,3,4] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,2,3,5,6,8,1,7] => [7,1,8,6,5,3,2,4] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,2,5,6,8,1,7,4] => [4,7,1,8,6,5,2,3] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,8,4,7,5,3] => [3,5,7,4,8,6,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,6,4,7,8,5,1] => [1,5,8,7,4,6,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,7,8,3,4,6,5,1] => [1,5,6,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,3,6,8,4,7,5,1] => [1,5,7,4,8,6,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,5,6,8,7,3,4,1] => [1,4,3,7,8,6,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[1,3,7,5,8,6,4,2] => [2,4,6,8,5,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,1,2,8,7,4,3] => [3,4,7,8,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[5,7,4,6,3,1,8,2] => [2,8,1,3,6,4,7,5] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,1,2,7,6,8,3] => [3,8,6,7,2,1,5,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,6,7,4,5,3,1,8] => [8,1,3,5,4,7,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,7,3,6,5,1,8,2] => [2,8,1,5,6,3,7,4] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,2,4,8,6,7,1,5] => [5,1,7,6,8,4,2,3] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,6,7,5,3,1,8] => [8,1,3,5,7,6,2,4] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,6,1,3,4,2] => [2,4,3,1,6,7,8,5] => ([(0,7),(1,6),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [2,1,3,2] => 2
[1,8,6,5,4,2,3,7] => [7,3,2,4,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,1,7,2,4,5,3,6] => [6,3,5,4,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,2,1,6,3,5,4,8] => [8,4,5,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,1,5,4,3,6,8] => [8,6,3,4,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,1,5,3,4,2,6,7] => [7,6,2,4,3,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,1,5,6,2,3,7,4] => [4,7,3,2,6,5,1,8] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,1,4,5,3,2,6,7] => [7,6,2,3,5,4,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[2,7,1,4,5,3,6,8] => [8,6,3,5,4,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,6,1,5,4,7,8] => [8,7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,6,1,2,4,5,3,8] => [8,3,5,4,2,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[4,7,1,3,5,2,6,8] => [8,6,2,5,3,1,7,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,4,2,6,3,8] => [8,3,6,2,4,1,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,1,2,7,4,8] => [8,4,7,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,7,2,1,5,6,3,4] => [4,3,6,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[2,6,5,3,4,1,8,7] => [7,8,1,4,3,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[8,6,1,2,5,3,4,7] => [7,4,3,5,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,4,2,5,3,1,6,8] => [8,6,1,3,5,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,2,7,6,5,3] => [3,5,6,7,2,4,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,3,7,2,6,5,4] => [4,5,6,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,7,6,1,5,2,4,8] => [8,4,2,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,6,2,1,5,3,8] => [8,3,5,1,2,6,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,3,4,2,5,6,8] => [8,6,5,2,4,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,8,6,7,3,4,2,5] => [5,2,4,3,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,5,7,3,4,2,6] => [6,2,4,3,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,7,3,5,2,6] => [6,2,5,3,7,4,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,2,8,4,6,3,7] => [7,3,6,4,8,2,5,1] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,3,4,1,2,7] => [7,2,1,4,3,5,8,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,8,7,6,4,5,3,2] => [2,3,5,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[1,8,7,3,6,5,4,2] => [2,4,5,6,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[7,1,4,3,2,5,6,8] => [8,6,5,2,3,4,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[6,4,2,7,5,3,1,8] => [8,1,3,5,7,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,3,1,2,6,5,7] => [7,5,6,2,1,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,8,3,1,2,6,7,5] => [5,7,6,2,1,3,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,3,7,5,1,8,2] => [2,8,1,5,7,3,4,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,2,4,7,8,1] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,4,8,2,7,5,1,3] => [3,1,5,7,2,8,4,6] => ([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,2,6,1,3,8] => [8,3,1,6,2,4,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,4,2,3,8,1,7] => [7,1,8,3,2,4,6,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[6,3,7,2,4,5,1,8] => [8,1,5,4,2,7,3,6] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,4,2,1,8,7] => [7,8,1,2,4,3,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[6,3,4,2,1,5,8,7] => [7,8,5,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[5,6,4,2,1,3,8,7] => [7,8,3,1,2,4,6,5] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[6,3,7,2,5,4,1,8] => [8,1,4,5,2,7,3,6] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,7,3,4,2,8,5] => [5,8,2,4,3,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,5,2,3,1,7,4] => [4,7,1,3,2,5,8,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,3,8,1,7,6] => [6,7,1,8,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[7,4,2,1,3,6,8,5] => [5,8,6,3,1,2,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,1,3,4,2,8,7] => [7,8,2,4,3,1,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,2,3,5,6,7,4] => [4,7,6,5,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,3,5,7,2,8,6,4] => [4,6,8,2,7,5,3,1] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,8,3,2,6] => [6,2,3,8,4,7,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,7,3,8,6,2,5] => [5,2,6,8,3,7,4,1] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,7,8,4,1,6,5] => [5,6,1,4,8,7,3,2] => ([(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,3,6,8,7,5,2] => [2,5,7,8,6,3,1,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,4,8,7,3,5,2] => [2,5,3,7,8,4,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,3,4,7,8,5,6,1] => [1,6,5,8,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,6,7,3,4,8,5,1] => [1,5,8,4,3,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,4,2,5,3,7,1,8] => [8,1,7,3,5,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,4,3,5,2,6] => [6,2,5,3,4,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[8,5,2,4,3,1,6,7] => [7,6,1,3,4,2,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[7,1,8,3,5,4,2,6] => [6,2,4,5,3,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,6,4,2,3,5] => [5,3,2,4,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,8,7,6,2,4,3,5] => [5,3,4,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,7,6,3,5,4,8,2] => [2,8,4,5,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,3,8,1,6,5,4,7] => [7,4,5,6,1,8,3,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,6,8,4,2,7,5,3] => [3,5,7,2,4,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,4,3,2,7,5] => [5,7,2,3,4,8,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,3,1,8,6,2,5,4] => [4,5,2,6,8,1,3,7] => ([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,2,8,7,5,4,3] => [3,4,5,7,8,2,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,5,4,8,2,7,3] => [3,7,2,8,4,5,6,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,6,5,4,3,8,1,7] => [7,1,8,3,4,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,5,3,1,7,6,8,2] => [2,8,6,7,1,3,5,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,6,1,2,7,5,3,8] => [8,3,5,7,2,1,6,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,1,3,6,5,4,8] => [8,4,5,6,3,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,5,3,1,8,6,7,2] => [2,7,6,8,1,3,5,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,8,3,2,5,1,4,7] => [7,4,1,5,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,7,6,3,5,4,1] => [1,4,5,3,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,8,1,5,3,2,4,6] => [6,4,2,3,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,4,5,7,3,6,8,1] => [1,8,6,3,7,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,4,5,3,6,8,1,7] => [7,1,8,6,3,5,4,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,3,5,2,6,8,1,7] => [7,1,8,6,2,5,3,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,5,3,1,6,8,2] => [2,8,6,1,3,5,4,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,8,5,6,4,1,2] => [2,1,4,6,5,8,7,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[3,7,8,5,6,1,4,2] => [2,4,1,6,5,8,7,3] => ([(0,6),(1,4),(1,7),(2,3),(2,7),(3,7),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[1,7,8,5,6,3,4,2] => [2,4,3,6,5,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[1,7,5,8,6,3,4,2] => [2,4,3,6,8,5,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,7,5,8,6,1,4,2] => [2,4,1,6,8,5,7,3] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,8,6,4,1,2] => [2,1,4,6,8,7,5,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,5,7,8,6,3,4,2] => [2,4,3,6,8,7,5,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,5,7,8,3,6,4,2] => [2,4,6,3,8,7,5,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,1,5,6,3,4,2] => [2,4,3,6,5,1,8,7] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,1,8,5,6,3,4,2] => [2,4,3,6,5,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,1,5,8,6,3,4,2] => [2,4,3,6,8,5,1,7] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,8,3,6,4,2] => [2,4,6,3,8,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,7,8,5,6,4,2] => [2,4,6,5,8,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[1,3,7,8,5,6,4,2] => [2,4,6,5,8,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,1,7,5,8,6,4,2] => [2,4,6,8,5,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,3,8,6,4,2] => [2,4,6,8,3,7,1,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,3,8,6,4,2] => [2,4,6,8,3,5,1,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,8,3,6,4,2] => [2,4,6,3,8,5,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,8,1,6,4,2] => [2,4,6,1,8,5,3,7] => ([(0,6),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,1,8,6,4,2] => [2,4,6,8,1,7,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,1,8,6,4,2] => [2,4,6,8,1,7,5,3] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,3,8,6,4,2] => [2,4,6,8,3,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,1,8,6,4,2] => [2,4,6,8,1,3,7,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,7,3,8,6,1,4,2] => [2,4,1,6,8,3,7,5] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,8,1,6,4,2] => [2,4,6,1,8,5,7,3] => ([(0,6),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,8,3,6,4,2] => [2,4,6,3,8,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,8,5,3,6,4,2] => [2,4,6,3,5,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,7,8,5,1,6,4,2] => [2,4,6,1,5,8,7,3] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,1,6,3,4,2] => [2,4,3,6,1,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[1,7,8,3,5,6,4,2] => [2,4,6,5,3,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,7,3,8,5,6,4,2] => [2,4,6,5,8,3,7,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,8,5,6,4,2] => [2,4,6,5,8,1,7,3] => ([(0,7),(1,5),(1,6),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,8,3,6,4,2] => [2,4,6,3,8,1,7,5] => ([(0,7),(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,8,6,3,4,2] => [2,4,3,6,8,1,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,8,6,3,4,2] => [2,4,3,6,8,1,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,8,1,3,6,4,2] => [2,4,6,3,1,8,5,7] => ([(0,4),(1,7),(2,4),(2,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,8,3,6,4,2] => [2,4,6,3,8,1,5,7] => ([(0,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,3,8,6,4,2] => [2,4,6,8,3,1,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,1,3,8,6,4,2] => [2,4,6,8,3,1,7,5] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,1,5,8,6,4,2] => [2,4,6,8,5,1,7,3] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,5,8,6,4,2] => [2,4,6,8,5,3,7,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,7,8,6,4,2] => [2,4,6,8,7,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,1,7,8,6,4,2] => [2,4,6,8,7,1,5,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,7,8,6,4,2] => [2,4,6,8,7,1,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,5,8,6,4,2] => [2,4,6,8,5,1,3,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,8,5,6,4,2] => [2,4,6,5,8,1,3,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,8,1,5,6,4,2] => [2,4,6,5,1,8,3,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,3,5,6,4,2] => [2,4,6,5,3,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,1,8,3,5,6,4,2] => [2,4,6,5,3,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,8,5,6,4,2] => [2,4,6,5,8,3,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,5,8,6,4,2] => [2,4,6,8,5,3,1,7] => ([(0,7),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,7,8,6,4,2] => [2,4,6,8,7,5,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,8,1,6,2] => [2,6,1,8,4,3,7,5] => ([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,4,1,8,6,2] => [2,6,8,1,4,3,7,5] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,1,4,6,8,2] => [2,8,6,4,1,3,7,5] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,1,4,2,8,6] => [6,8,2,4,1,7,3,5] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,1,2,8,6,4] => [4,6,8,2,1,5,7,3] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,5,1,2,6,4] => [4,6,2,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,3,8,5,1,2,6,4] => [4,6,2,1,5,8,3,7] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,1,2,6,4,8] => [8,4,6,2,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,5,1,2,6,8,4] => [4,8,6,2,1,5,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,3,6,7,5,1,4] => [4,1,5,7,6,3,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,2,3,1,8,4] => [4,8,1,3,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,5,7,4,8,6,1,3] => [3,1,6,8,4,7,5,2] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,7,5,1,8,4] => [4,8,1,5,7,3,6,2] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,8,7,5,1,3] => [3,1,5,7,8,4,6,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,2,8,5,1,4] => [4,1,5,8,2,7,3,6] => ([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,8,7,5,1,3] => [3,1,5,7,8,4,2,6] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,6,1,8,7,4] => [4,7,8,1,6,3,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,7,3,8,1,6,5] => [5,6,1,8,3,7,2,4] => ([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,1,4,7,3,8,6] => [6,8,3,7,4,1,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,2,8,6,5,3] => [3,5,6,8,2,4,1,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,3,7,2,8,6,4] => [4,6,8,2,7,3,1,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,2,4,1,8,7,5] => [5,7,8,1,4,2,6,3] => ([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,2,3,5,1,8,6,4] => [4,6,8,1,5,3,2,7] => ([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,5,1,8,7,6,2] => [2,6,7,8,1,5,4,3] => ([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[1,6,4,2,8,7,5,3] => [3,5,7,8,2,4,6,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,4,2,5,1,8,6,3] => [3,6,8,1,5,2,4,7] => ([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,2,8,1,7,4] => [4,7,1,8,2,6,3,5] => ([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,7,5,1,8,3] => [3,8,1,5,7,2,6,4] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,3,2,7,6,4] => [4,6,7,2,3,8,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,5,8,3,1,7,6,4] => [4,6,7,1,3,8,5,2] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,8,4,1,3,7,6] => [6,7,3,1,4,8,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,1,3,7,6,4] => [4,6,7,3,1,8,5,2] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,2,4,7,6,5] => [5,6,7,4,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,5,2,1,7,4,8,6] => [6,8,4,7,1,2,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,2,8,6,4,3] => [3,4,6,8,2,1,5,7] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,1,2,8,7,5,3] => [3,5,7,8,2,1,6,4] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,1,2,8,7,5,3] => [3,5,7,8,2,1,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,4,1,2,8,6,5,3] => [3,5,6,8,2,1,4,7] => ([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,2,8,3,7,6,5] => [5,6,7,3,8,2,1,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[6,8,5,3,2,1,4,7] => [7,4,1,2,3,5,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,2,6,4,1,3,8] => [8,3,1,4,6,2,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,7,3,6,5,4] => [4,5,6,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,2,5,8,6,7,3] => [3,7,6,8,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,7,4,6,5,2] => [2,5,6,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,1,8,3,6,5,4,2] => [2,4,5,6,3,8,1,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,1,8,7,5,6,3,2] => [2,3,6,5,7,8,1,4] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,3,4,6,8,1,7] => [7,1,8,6,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,2,3,4,1,5,8,6] => [6,8,5,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,2,3,4,8,7,5,6] => [6,5,7,8,4,3,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[1,2,8,5,3,4,6,7] => [7,6,4,3,5,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[1,8,4,2,3,5,6,7] => [7,6,5,3,2,4,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,6,4,8,5,2,7,3] => [3,7,2,5,8,4,6,1] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,7,2,5,6,4] => [4,6,5,2,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,2,3,6,4,5] => [5,4,6,3,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[1,8,7,2,6,3,4,5] => [5,4,3,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,8,2,7,6,3,4,5] => [5,4,3,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,3,6,7,5,2,4] => [4,2,5,7,6,3,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,7,3,6,4,5] => [5,4,6,3,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,1,7,2,6,3,4,5] => [5,4,3,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[8,1,7,2,3,6,4,5] => [5,4,6,3,2,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,1,7,6,4,5,2,8] => [8,2,5,4,6,7,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,2,3,1,4,8,6] => [6,8,4,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,4,1,2,8,7] => [7,8,2,1,4,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[7,4,2,5,6,1,3,8] => [8,3,1,6,5,2,4,7] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,6,4,2,1,8] => [8,1,2,4,6,5,3,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[7,4,3,1,5,6,2,8] => [8,2,6,5,1,3,4,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,5,2,6,1,3,8] => [8,3,1,6,2,5,4,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,5,2,4,3,7,8,1] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,4,6,2,8,7,1,3] => [3,1,7,8,2,6,4,5] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,3,6,8,1,2] => [2,1,8,6,3,4,7,5] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,6,7,8,2,5,1,4] => [4,1,5,2,8,7,6,3] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,7,8,2,6,4,1,3] => [3,1,4,6,2,8,7,5] => ([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,8,5,7,1,4,2] => [2,4,1,7,5,8,6,3] => ([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,8,6,2,3,5] => [5,3,2,6,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,7,4,6,8,1,3] => [3,1,8,6,4,7,2,5] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,8,2,7,4,5] => [5,4,7,2,8,3,1,6] => ([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,7,3,1,5,8,4] => [4,8,5,1,3,7,2,6] => ([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,1,7,8,4,2] => [2,4,8,7,1,3,6,5] => ([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,6,4,8,1,5,7,2] => [2,7,5,1,8,4,6,3] => ([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,1,8,5,2,4,7] => [7,4,2,5,8,1,3,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,1,8,4,6,7] => [7,6,4,8,1,2,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,1,2,3,8,6,4] => [4,6,8,3,2,1,5,7] => ([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,8,2,3,1,5,4,6] => [6,4,5,1,3,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,6,5,7,4,8,1,2] => [2,1,8,4,7,5,6,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,6,4,7,1,3,2,8] => [8,2,3,1,7,4,6,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,4,3,6,2,7,5,8] => [8,5,7,2,6,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,5,3,7,6,8,1,2] => [2,1,8,6,7,3,5,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,5,2,6,1,7,4,8] => [8,4,7,1,6,2,5,3] => ([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,2,6,4,7,1,8] => [8,1,7,4,6,2,5,3] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,3,1,7,5,8] => [8,5,7,1,3,2,6,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,3,6,4,7,1,8] => [8,1,7,4,6,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,7,2,8,5,6,4] => [4,6,5,8,2,7,3,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,3,6,8,2,7] => [7,2,8,6,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,4,5,7,8,3,2] => [2,3,8,7,5,4,6,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[2,5,6,8,1,7,4,3] => [3,4,7,1,8,6,5,2] => ([(0,3),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,1,7,5,2,8] => [8,2,5,7,1,3,6,4] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,1,6,4,7,8] => [8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,6,1,7,5,3,2,8] => [8,2,3,5,7,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,1,3,7,5,4,8] => [8,4,5,7,3,1,6,2] => ([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,1,5,4,3,7,8] => [8,7,3,4,5,1,6,2] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,1,6,2,5,4,7,8] => [8,7,4,5,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[5,3,1,7,8,4,2,6] => [6,2,4,8,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,3,8,6,7,1,5] => [5,1,7,6,8,3,4,2] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,2,7,4,5,3,6] => [6,3,5,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,2,3,1,6,4,8] => [8,4,6,1,3,2,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,3,5,1,7,2,8] => [8,2,7,1,5,3,6,4] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,6,3,4,2,7] => [7,2,4,3,6,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,5,6,4,7,2,3] => [3,2,7,4,6,5,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,5,4,6,2,8,1,7] => [7,1,8,2,6,4,5,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[2,7,1,8,3,6,4,5] => [5,4,6,3,8,1,7,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,8,6,2,5,3] => [3,5,2,6,8,4,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,4,5,2,7,3] => [3,7,2,5,4,8,6,1] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,3,5,1,8,7] => [7,8,1,5,3,6,2,4] => ([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,4,8,6,7,3,5] => [5,3,7,6,8,4,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,1,4,2,3,6,7] => [7,6,3,2,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,1,8,4,3,5,2,6] => [6,2,5,3,4,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,8,1,5,6,2,4] => [4,2,6,5,1,8,7,3] => ([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,1,2,8,5,3,4] => [4,3,5,8,2,1,7,6] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[8,1,7,6,5,3,2,4] => [4,2,3,5,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[5,7,3,1,4,2,6,8] => [8,6,2,4,1,3,7,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,8,7,6,4,2] => [2,4,6,7,8,3,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,2,4,7,6,5,3] => [3,5,6,7,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,3,4,5,7,6,2] => [2,6,7,5,4,3,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[4,1,8,5,2,7,6,3] => [3,6,7,2,5,8,1,4] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,8,5,1,3,6,2,7] => [7,2,6,3,1,5,8,4] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,5,7,2,8,4] => [4,8,2,7,5,1,6,3] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,8,7,2,1,4,6] => [6,4,1,2,7,8,3,5] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,7,6,2,5,4,3] => [3,4,5,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,3,1] => 1
[8,7,3,2,1,6,5,4] => [4,5,6,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,4,3] => 3
[2,4,1,8,6,7,5,3] => [3,5,7,6,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,1,6,8,7,5,2] => [2,5,7,8,6,1,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[1,8,6,2,4,7,3,5] => [5,3,7,4,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,7,6,4,3,5,2] => [2,5,3,4,6,7,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,4,2,5,1,6,3,8] => [8,3,6,1,5,2,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,5,2,1,4,8] => [8,4,1,2,5,7,3,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,7,6,3,1,4,8] => [8,4,1,3,6,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,3,7,8,1,5,6] => [6,5,1,8,7,3,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,8,3,1,7,2,4,6] => [6,4,2,7,1,3,8,5] => ([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,1,5,2,4,7] => [7,4,2,5,1,3,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,7,1,6,3,5,8] => [8,5,3,6,1,7,2,4] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,2,1,5,3,7] => [7,3,5,1,2,4,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,2,1,4,7,3,6] => [6,3,7,4,1,2,8,5] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,2,5,1,7,4] => [4,7,1,5,2,3,8,6] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,3,1,5,7,2] => [2,7,5,1,3,4,8,6] => ([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,2,1,4,5,7] => [7,5,4,1,2,3,8,6] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[5,1,7,3,2,4,6,8] => [8,6,4,2,3,7,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,1,8,3,6,7,4] => [4,7,6,3,8,1,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,7,2,6,8,4] => [4,8,6,2,7,1,3,5] => ([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,3,1,8,5,6,2] => [2,6,5,8,1,3,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,1,7,5,3,8] => [8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,1,8,4,2,7,3,5] => [5,3,7,2,4,8,1,6] => ([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,1,8,3,7,4,5] => [5,4,7,3,8,1,2,6] => ([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,2,1,7,3,6,4,8] => [8,4,6,3,7,1,2,5] => ([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,7,6,1,4,8] => [8,4,1,6,7,2,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,2,8,6,1,4,7] => [7,4,1,6,8,2,3,5] => ([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,8,1,7,3,5,6] => [6,5,3,7,1,8,2,4] => ([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,8,7,2,1,5,6] => [6,5,1,2,7,8,3,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,1,5,8,4,7,3,6] => [6,3,7,4,8,5,1,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,2,5,8,1,6,7] => [7,6,1,8,5,2,3,4] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,3,2,5,7,1,6,8] => [8,6,1,7,5,2,3,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,3,1,6,2,7,5,8] => [8,5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,1,7,2,8,6,3] => [3,6,8,2,7,1,4,5] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,3,1,7,8,4,2] => [2,4,8,7,1,3,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,1,7,8,3,5] => [5,3,8,7,1,2,4,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,4,2,1,6,7,3,8] => [8,3,7,6,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,1,6,7,4,8] => [8,4,7,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,2,1,7,8,5,3] => [3,5,8,7,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,2,1,4,8,7,5,6] => [6,5,7,8,4,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[4,3,2,6,1,7,8,5] => [5,8,7,1,6,2,3,4] => ([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,3,2,1,6,7,8,4] => [4,8,7,6,1,2,3,5] => ([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[6,1,5,4,3,2,8,7] => [7,8,2,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,3,1,1] => 1
[6,8,7,1,3,2,5,4] => [4,5,2,3,1,7,8,6] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[7,6,8,1,2,4,3,5] => [5,3,4,2,1,8,6,7] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[2,6,4,5,7,8,3,1] => [1,3,8,7,5,4,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[1,4,6,8,2,3,7,5] => [5,7,3,2,8,6,4,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,7,2,4,5,8,1] => [1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[6,5,1,4,2,3,8,7] => [7,8,3,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,1,8,7,3,6,4,5] => [5,4,6,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,4,1,7,6,8,5,3] => [3,5,8,6,7,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,6,1,2,5,4,3,7] => [7,3,4,5,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,3,6,4,5,2,1,7] => [7,1,2,5,4,6,3,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[3,4,8,7,5,6,2,1] => [1,2,6,5,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[2,1,7,8,4,6,5,3] => [3,5,6,4,8,7,1,2] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[7,8,2,4,3,1,5,6] => [6,5,1,3,4,2,8,7] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,2,4,3,6,8,1,7] => [7,1,8,6,3,4,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,4,6,5,3,2,1,7] => [7,1,2,3,5,6,4,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[7,2,5,3,4,1,6,8] => [8,6,1,4,3,5,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,4,8,3,5,6] => [6,5,3,8,4,7,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,4,3,1,2,6,5] => [5,6,2,1,3,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[6,5,1,4,3,2,8,7] => [7,8,2,3,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[3,6,4,5,2,1,8,7] => [7,8,1,2,5,4,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[5,2,6,7,3,1,4,8] => [8,4,1,3,7,6,2,5] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,8,5,6,2,4] => [4,2,6,5,8,3,1,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,8,3,4,6,2] => [2,6,4,3,8,7,5,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[3,1,7,5,8,2,6,4] => [4,6,2,8,5,7,1,3] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,7,1,8,4,6,2] => [2,6,4,8,1,7,5,3] => ([(0,6),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,7,8,4,1,6,2] => [2,6,1,4,8,7,3,5] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,5,1,3,8,7] => [7,8,3,1,5,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,4,8,3,1,2,5] => [5,2,1,3,8,4,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,8,1,2,5,7,6] => [6,7,5,2,1,8,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,8,3,4,7,5,6,1] => [1,6,5,7,4,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[1,8,3,4,7,6,2,5] => [5,2,6,7,4,3,8,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,6,8,4,3,2] => [2,3,4,8,6,5,7,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[5,3,6,4,2,7,1,8] => [8,1,7,2,4,6,3,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,6,4,7,5,1,3] => [3,1,5,7,4,6,8,2] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,8,6,3,2,4] => [4,2,3,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,8,7,6,1,3,4] => [4,3,1,6,7,8,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,3,5,2,8,7,1,6] => [6,1,7,8,2,5,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,4,2,3,6,7,5] => [5,7,6,3,2,4,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,1,2,4,6,7,5,3] => [3,5,7,6,4,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,1,8,6,2,5,3,4] => [4,3,5,2,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,7,6,1,5,4,2,8] => [8,2,4,5,1,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,2,1,3,6,8] => [8,6,3,1,2,4,7,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,6,4,7,3,2] => [2,3,7,4,6,5,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[4,3,7,8,5,6,2,1] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[2,3,8,7,5,4,6,1] => [1,6,4,5,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,8,2,7,4,5,6,3] => [3,6,5,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,4,8,2,7,5,3,6] => [6,3,5,7,2,8,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,7,5,4,3,8] => [8,3,4,5,7,2,1,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,2,8,7,5,4,3,6] => [6,3,4,5,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[1,8,3,7,6,4,5,2] => [2,5,4,6,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,2,8,7,6,5,3,4] => [4,3,5,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[3,1,8,4,5,7,6,2] => [2,6,7,5,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[7,1,4,5,3,2,6,8] => [8,6,2,3,5,4,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[3,2,5,7,4,6,1,8] => [8,1,6,4,7,5,2,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,7,2,6,4,1,8] => [8,1,4,6,2,7,5,3] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,7,6,2,4,1,8] => [8,1,4,2,6,7,3,5] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,5,2,7,1,6,4,8] => [8,4,6,1,7,2,5,3] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,3,6,8,4,1,5] => [5,1,4,8,6,3,7,2] => ([(0,5),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,7,2,4,8,3,6] => [6,3,8,4,2,7,1,5] => ([(0,1),(0,5),(0,7),(1,4),(1,5),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,8,7,2,1,6,4] => [4,6,1,2,7,8,5,3] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,3,7,2,4,6,1,8] => [8,1,6,4,2,7,3,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,3,2,4,6,8] => [8,6,4,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,1,5,3,2,4,6,8] => [8,6,4,2,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,5,3,4,2,8,1,6] => [6,1,8,2,4,3,5,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[2,7,5,4,8,6,1,3] => [3,1,6,8,4,5,7,2] => ([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,6,4,8,3,7,2] => [2,7,3,8,4,6,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,1,5,3,2,7,8,6] => [6,8,7,2,3,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,7,1,2,8,6] => [6,8,2,1,7,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,7,6,5,2,8] => [8,2,5,6,7,4,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,6,5,3,4,7,8,1] => [1,8,7,4,3,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[6,4,2,5,3,8,1,7] => [7,1,8,3,5,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,3,5,8,1,7] => [7,1,8,5,3,2,6,4] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,6,7,4,5,3] => [3,5,4,7,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[2,8,1,6,4,7,5,3] => [3,5,7,4,6,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,3,8,6,1,7,5] => [5,7,1,6,8,3,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,2,8,3,1,6,7,5] => [5,7,6,1,3,8,2,4] => ([(0,4),(0,7),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,6,8,4,1,5,7,3] => [3,7,5,1,4,8,6,2] => ([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,4,6,7,3,5] => [5,3,7,6,4,1,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,5,3,4,8,2] => [2,8,4,3,5,7,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,2,3,6,5,7,4] => [4,7,5,6,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,6,3,7,8,2,4,5] => [5,4,2,8,7,3,6,1] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,6,7,5,8,1,3] => [3,1,8,5,7,6,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,6,7,2,5,3] => [3,5,2,7,6,4,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,5,4,3,7,8,2,6] => [6,2,8,7,3,4,5,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,3,1,7,5,2,4,8] => [8,4,2,5,7,1,3,6] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,7,5,3,6,4] => [4,6,3,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,5,7,6,4,3] => [3,4,6,7,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,2,6,4,7,5,3] => [3,5,7,4,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,2,6,3,1,8] => [8,1,3,6,2,7,5,4] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,6,3,5,7,1,8] => [8,1,7,5,3,6,2,4] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,5,8,2,7,3,6] => [6,3,7,2,8,5,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,5,8,1,6,7,3] => [3,7,6,1,8,5,4,2] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,5,7,8,1,6,3] => [3,6,1,8,7,5,2,4] => ([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,7,4,2,5,8] => [8,5,2,4,7,3,1,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,8,2,7,4,5] => [5,4,7,2,8,6,1,3] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,3,1,6,7,5] => [5,7,6,1,3,2,8,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,4,2,8,1,6,3] => [3,6,1,8,2,4,7,5] => ([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,2,8,1,5,4] => [4,5,1,8,2,7,3,6] => ([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,5,2,8,6,1,4,3] => [3,4,1,6,8,2,5,7] => ([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,5,2,4,3,7] => [7,3,4,2,5,8,6,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,7,2,8,1,6,3] => [3,6,1,8,2,7,5,4] => ([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,6,8,3,1,7,2] => [2,7,1,3,8,6,5,4] => ([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,6,4,8,3,1,7,2] => [2,7,1,3,8,4,6,5] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,6,2,3,7,5] => [5,7,3,2,6,1,8,4] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,1,7,2,6,8] => [8,6,2,7,1,3,5,4] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,3,1,2,6,5,8] => [8,5,6,2,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[5,2,7,1,3,6,4,8] => [8,4,6,3,1,7,2,5] => ([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,2,4,3,6,5] => [5,6,3,4,2,1,8,7] => ([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,8,3,1,2,5,7,6] => [6,7,5,2,1,3,8,4] => ([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,5,7,4,2,6,3] => [3,6,2,4,7,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,6,5,3,4,2] => [2,4,3,5,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,5,1] => 1
[4,6,7,2,5,3,1,8] => [8,1,3,5,2,7,6,4] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,7,8,1,6,5,3] => [3,5,6,1,8,7,4,2] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[4,2,6,8,7,1,5,3] => [3,5,1,7,8,6,2,4] => ([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,3,8,2,7,5,4] => [4,5,7,2,8,3,1,6] => ([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,3,7,1,5,4,2] => [2,4,5,1,7,3,8,6] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,8,4,1,7,5,3] => [3,5,7,1,4,8,6,2] => ([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,1,8,2,7,5,4] => [4,5,7,2,8,1,6,3] => ([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,7,1,2,8,5,4] => [4,5,8,2,1,7,3,6] => ([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,7,2,4,8,5,3,6] => [6,3,5,8,4,2,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,7,5,6,8,2,4] => [4,2,8,6,5,7,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,6,5,7,1,8,4] => [4,8,1,7,5,6,3,2] => ([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,3,6,5,4,7] => [7,4,5,6,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[1,6,4,2,7,8,3,5] => [5,3,8,7,2,4,6,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,1,8,6,4,5] => [5,4,6,8,1,3,2,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,2,6,5,8,7,3,4] => [4,3,7,8,5,6,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[5,6,3,4,8,7,2,1] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[1,8,2,7,4,6,5,3] => [3,5,6,4,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,7,2,4,5,3,6] => [6,3,5,4,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[8,1,6,2,3,5,4,7] => [7,4,5,3,2,6,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[1,7,6,2,4,5,3,8] => [8,3,5,4,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[1,5,6,8,3,7,4,2] => [2,4,7,3,8,6,5,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,6,3,2,4,1,8] => [8,1,4,2,3,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[8,5,1,3,2,4,6,7] => [7,6,4,2,3,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[7,5,1,3,2,4,8,6] => [6,8,4,2,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[8,1,6,4,2,3,5,7] => [7,5,3,2,4,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,5,8,2,3,1,4,6] => [6,4,1,3,2,8,5,7] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,5,8,3,2,4] => [4,2,3,8,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,7,6,5,1,3,2,8] => [8,2,3,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,4,6,8,7,2,1,3] => [3,1,2,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[3,7,6,5,8,1,2,4] => [4,2,1,8,5,6,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,1,2,6,3,5,4,8] => [8,4,5,3,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,2,6,3,4,5,1,8] => [8,1,5,4,3,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,7,8,6,2,5,1,4] => [4,1,5,2,6,8,7,3] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,6,4,5,8,1,7,2] => [2,7,1,8,5,4,6,3] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,6,3,1,2,8] => [8,2,1,3,6,4,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,2,8,7,4,3,5,6] => [6,5,3,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[3,8,7,4,6,5,1,2] => [2,1,5,6,4,7,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,3,8,4,6,5,1,2] => [2,1,5,6,4,8,3,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,8,3,5,4,2,6,7] => [7,6,2,4,5,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,2,5,4,3,6,7] => [7,6,3,4,5,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,2,1,1] => 1
[2,5,4,1,3,8,6,7] => [7,6,8,3,1,4,5,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,1,8,3,2,4,5] => [5,4,2,3,8,1,7,6] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,8,2,1,3,6,4,5] => [5,4,6,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,1,7,5,4,3,2,8] => [8,2,3,4,5,7,1,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,3,5,8,6,7,1,2] => [2,1,7,6,8,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,1,7,4,2,3,5,6] => [6,5,3,2,4,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[7,5,4,6,1,8,3,2] => [2,3,8,1,6,4,5,7] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,1,3,6,7,5,4] => [4,5,7,6,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,7,5,8,3,6,2,4] => [4,2,6,3,8,5,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,4,5,1,2,8,7] => [7,8,2,1,5,4,3,6] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,2,1] => 1
[2,8,3,1,6,5,7,4] => [4,7,5,6,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,3,7,2,4,6] => [6,4,2,7,3,5,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,7,5,2,8] => [8,2,5,7,4,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,7,4,5,3,6] => [6,3,5,4,7,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[5,4,6,7,8,1,3,2] => [2,3,1,8,7,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[4,3,1,5,2,8,6,7] => [7,6,8,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,4,1,3,2,6,7] => [7,6,2,3,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,3,4,2,7,1,6,8] => [8,6,1,7,2,4,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,1,4,3,2,6,8] => [8,6,2,3,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,1,2,5,4,6,3,8] => [8,3,6,4,5,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,4,1,6,5,3,7,8] => [8,7,3,5,6,1,4,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,1,2,6,5,4,3,8] => [8,3,4,5,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[6,1,4,5,3,2,7,8] => [8,7,2,3,5,4,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,2,7,8,4,3,6,5] => [5,6,3,4,8,7,2,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[1,6,3,8,4,7,5,2] => [2,5,7,4,8,3,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,8,3,6,5,2] => [2,5,6,3,8,4,7,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,6,5,4,1,3,2,7] => [7,2,3,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[1,7,4,8,3,2,6,5] => [5,6,2,3,8,4,7,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,5,2,3,4,7,8] => [8,7,4,3,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,8,7,2,3,4,5,6] => [6,5,4,3,2,7,8,1] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,4,2,1] => 1
[1,7,6,5,2,3,4,8] => [8,4,3,2,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,3,1] => 1
[1,5,4,2,3,7,6,8] => [8,6,7,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,8,6,5,2,3,4,7] => [7,4,3,2,5,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,4,7,5,3,1,8,2] => [2,8,1,3,5,7,4,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,3,2,5,1,7] => [7,1,5,2,3,4,8,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,2,4,1,8,6,5] => [5,6,8,1,4,2,3,7] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,5,2,8,6,1,7] => [7,1,6,8,2,5,3,4] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,6,4,5,7,3] => [3,7,5,4,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[1,7,6,8,5,2,4,3] => [3,4,2,5,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[6,4,2,3,5,1,8,7] => [7,8,1,5,3,2,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[2,1,8,6,4,5,7,3] => [3,7,5,4,6,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[5,4,2,1,3,6,8,7] => [7,8,6,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,8,5,4,2,3,6,7] => [7,6,3,2,4,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,8,2,6,4,5,3,7] => [7,3,5,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,4,2,7,5,8,3,6] => [6,3,8,5,7,2,4,1] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,4,3,8,2,7] => [7,2,8,3,4,5,6,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,3,4,5,6,2,7] => [7,2,6,5,4,3,8,1] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,4,5,8,3,6,2,7] => [7,2,6,3,8,5,4,1] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,3,6,2,8,4] => [4,8,2,6,3,7,5,1] => ([(0,1),(0,6),(0,7),(1,3),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,6,7,3,1,8] => [8,1,3,7,6,2,4,5] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,6,1,5,4,3,2,7] => [7,2,3,4,5,1,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[6,8,2,4,5,3,1,7] => [7,1,3,5,4,2,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,5,8,4,6,2] => [2,6,4,8,5,3,7,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,6,1,4,3,2,8] => [8,2,3,4,1,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,6,5,1,4,3,2,7] => [7,2,3,4,1,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[1,8,6,3,4,2,5,7] => [7,5,2,4,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,5,7,2,8] => [8,2,7,5,4,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,4,5,7,8,2] => [2,8,7,5,4,6,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,6,3,4,2,7,5] => [5,7,2,4,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,3,5,1,8,2] => [2,8,1,5,3,7,6,4] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,7,3,5,1,2,8] => [8,2,1,5,3,7,6,4] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,3,4,7,8,1,6] => [6,1,8,7,4,3,2,5] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[5,8,3,7,6,4,1,2] => [2,1,4,6,7,3,8,5] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[7,6,1,5,4,3,2,8] => [8,2,3,4,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[4,7,6,2,5,1,3,8] => [8,3,1,5,2,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,5,2,4,1,3,8] => [8,3,1,4,2,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,6,5,7,8,1,2,4] => [4,2,1,8,7,5,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,8,2,6,5,4,3,7] => [7,3,4,5,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,3,1,1] => 1
[2,7,1,6,5,4,3,8] => [8,3,4,5,6,1,7,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,2,3,8,6,5,4,1] => [1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[8,1,3,7,6,5,4,2] => [2,4,5,6,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[5,4,7,2,1,6,3,8] => [8,3,6,1,2,7,4,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,6,7,1,5,3,2,8] => [8,2,3,5,1,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,2,6,1,4,5,3] => [3,5,4,1,6,2,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[8,2,6,5,4,3,1,7] => [7,1,3,4,5,6,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[2,8,1,5,7,4,6,3] => [3,6,4,7,5,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,6,3,8,2] => [2,8,3,6,4,7,5,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,2,7,8,1,3] => [3,1,8,7,2,5,6,4] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,3,4,2,8,7] => [7,8,2,4,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[5,7,3,1,2,4,8,6] => [6,8,4,2,1,3,7,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,3,7,8,2,4] => [4,2,8,7,3,5,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,5,3,7,8,4,2] => [2,4,8,7,3,5,6,1] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,4,6,5,3,2] => [2,3,5,6,4,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[6,7,5,3,8,1,2,4] => [4,2,1,8,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,2,3,7,5,6,4] => [4,6,5,7,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[6,5,8,7,1,3,2,4] => [4,2,3,1,7,8,5,6] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[5,7,6,8,2,1,4,3] => [3,4,1,2,8,6,7,5] => ([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,3,2] => 2
[1,2,6,5,3,4,7,8] => [8,7,4,3,5,6,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,2,1] => 1
[1,7,2,5,3,4,8,6] => [6,8,4,3,5,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,5,4,8,3,6,7] => [7,6,3,8,4,5,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[8,1,4,5,7,6,3,2] => [2,3,6,7,5,4,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[2,4,1,8,5,7,6,3] => [3,6,7,5,8,1,4,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,1,8,7,6,4,5] => [5,4,6,7,8,1,3,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[3,1,8,2,7,5,6,4] => [4,6,5,7,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,7,3,8,4,5,2] => [2,5,4,8,3,7,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,5,1,8,6,4,2,3] => [3,2,4,6,8,1,5,7] => ([(0,7),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,2,7,5,4,1,3,8] => [8,3,1,4,5,7,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,3,6,2,7,4,8] => [8,4,7,2,6,3,1,5] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,5,8,1,7,3] => [3,7,1,8,5,6,4,2] => ([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,5,3,8,1,7] => [7,1,8,3,5,6,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,6,8,7,5,1,3] => [3,1,5,7,8,6,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,5,6,8,4,2] => [2,4,8,6,5,7,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,5,6,8,3,4,2] => [2,4,3,8,6,5,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,7,5,6,3,8,4,2] => [2,4,8,3,6,5,7,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,6,5,3,4,1,8] => [8,1,4,3,5,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[8,7,1,6,5,2,3,4] => [4,3,2,5,6,1,7,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[7,8,3,6,1,5,4,2] => [2,4,5,1,6,3,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[2,5,7,8,4,6,1,3] => [3,1,6,4,8,7,5,2] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,5,3,2,6,1,4] => [4,1,6,2,3,5,8,7] => ([(0,1),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,2] => 2
[3,4,2,7,8,6,1,5] => [5,1,6,8,7,2,4,3] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,1,2,8,5,6,4] => [4,6,5,8,2,1,3,7] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,4,6,7,5,8,2] => [2,8,5,7,6,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,7,5,8,4,2,6,3] => [3,6,2,4,8,5,7,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,1,2,7,8,6] => [6,8,7,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[8,1,2,5,3,6,7,4] => [4,7,6,3,5,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,5,7,4,2,8,1,3] => [3,1,8,2,4,7,5,6] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,2,4,7,5,6] => [6,5,7,4,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,7,2,4,3,5] => [5,3,4,2,7,6,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[1,6,8,2,7,5,4,3] => [3,4,5,7,2,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,4,7,2,6,8,3] => [3,8,6,2,7,4,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,6,4,8,2,5,3] => [3,5,2,8,4,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,2,4,3,8,7,5,6] => [6,5,7,8,3,4,2,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,2,8,6,5,4,3,7] => [7,3,4,5,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[8,1,3,4,6,5,2,7] => [7,2,5,6,4,3,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[7,8,2,4,6,5,1,3] => [3,1,5,6,4,2,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,3,1,7,6,4,2,8] => [8,2,4,6,7,1,3,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,6,4,3,2,7,5] => [5,7,2,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,8,6,7,5,3,2] => [2,3,5,7,6,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,8,2,7,5,6,4,3] => [3,4,6,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,2,6,4,3,5,7] => [7,5,3,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,2,5,4,6,3,7] => [7,3,6,4,5,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,1,2,3,7,6,4,5] => [5,4,6,7,3,2,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[8,2,3,1,4,7,5,6] => [6,5,7,4,1,3,2,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,7,3,4,1,2,6,5] => [5,6,2,1,4,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,1,3] => 3
[2,8,7,1,6,5,3,4] => [4,3,5,6,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[8,6,1,3,2,4,5,7] => [7,5,4,2,3,1,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[1,8,7,4,6,2,5,3] => [3,5,2,6,4,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,2,7,5,4,3,6] => [6,3,4,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,5,7,8,6,3,2,4] => [4,2,3,6,8,7,5,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[8,1,7,6,4,3,2,5] => [5,2,3,4,6,7,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[8,1,4,5,6,3,7,2] => [2,7,3,6,5,4,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[6,4,7,3,1,5,2,8] => [8,2,5,1,3,7,4,6] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,5,3,1,2,8,6] => [6,8,2,1,3,5,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,2,1,1] => 1
[4,7,2,5,3,6,1,8] => [8,1,6,3,5,2,7,4] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,1,5,2,3,7] => [7,3,2,5,1,4,8,6] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,2,7,4,5,3] => [3,5,4,7,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,8,5,6,7,3,2] => [2,3,7,6,5,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,2,4,3,1,6,8,5] => [5,8,6,1,3,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,4,2,5,7,3] => [3,7,5,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,7,3,1,8,2] => [2,8,1,3,7,4,5,6] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,1,3,7,6,4,5,8] => [8,5,4,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[1,3,8,7,5,4,6,2] => [2,6,4,5,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,7,5,8,3,2,4] => [4,2,3,8,5,7,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,6,8,5,7,4,2,3] => [3,2,4,7,5,8,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[8,1,6,5,7,4,3,2] => [2,3,4,7,5,6,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[4,7,5,6,3,1,2,8] => [8,2,1,3,6,5,7,4] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,7,5,3,1,4,2,8] => [8,2,4,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,7,5,3,1,8,2,4] => [4,2,8,1,3,5,7,6] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,7,5,3,8,1,4,2] => [2,4,1,8,3,5,7,6] => ([(0,6),(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,5,3,4,1,8,2] => [2,8,1,4,3,5,7,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,7,5,3,4,6,8,1] => [1,8,6,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,7,5,3,4,6,1,8] => [8,1,6,4,3,5,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,3,2,4,1,6] => [6,1,4,2,3,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,1,7,2,4,5,3] => [3,5,4,2,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,4,6,7,5,3] => [3,5,7,6,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,6,8,7,1,3,2] => [2,3,1,7,8,6,4,5] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,3,1,2] => 2
[1,8,5,3,6,7,2,4] => [4,2,7,6,3,5,8,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,4,8,5,7,6,1,3] => [3,1,6,7,5,8,4,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,3,7,2,8,5,6] => [6,5,8,2,7,3,4,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,5,2,4,7,1,8] => [8,1,7,4,2,5,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,6,3,4,8,1,7] => [7,1,8,4,3,6,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,6,3,1,7,2,8] => [8,2,7,1,3,6,4,5] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,6,1,4,3,8] => [8,3,4,1,6,2,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,7,4,2,3,8,1,5] => [5,1,8,3,2,4,7,6] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,4,5,3,7,8] => [8,7,3,5,4,2,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[7,6,1,4,3,2,5,8] => [8,5,2,3,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[2,4,5,3,8,6,7,1] => [1,7,6,8,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[2,3,5,8,4,6,7,1] => [1,7,6,4,8,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,4,5,2,8,1,6,7] => [7,6,1,8,2,5,4,3] => ([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,5,2,6,8,1,7] => [7,1,8,6,2,5,4,3] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,4,7,5,6,3,1,8] => [8,1,3,6,5,7,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,6,3,4,2,8] => [8,2,4,3,6,1,5,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,2,4,1,6,5,8] => [8,5,6,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,8,4,6,2,3,5] => [5,3,2,6,4,8,7,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,4,6,2,3,5] => [5,3,2,6,4,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,4,2,1,3,6] => [6,3,1,2,4,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,5,3,2,7,8,4,6] => [6,4,8,7,2,3,5,1] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,2,5,3,4,1,8] => [8,1,4,3,5,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[7,6,2,4,5,3,1,8] => [8,1,3,5,4,2,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[6,4,7,2,3,5,1,8] => [8,1,5,3,2,7,4,6] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,6,2,4,3,5,1,8] => [8,1,5,3,4,2,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[7,6,2,3,5,4,1,8] => [8,1,4,5,3,2,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[8,3,5,4,2,1,6,7] => [7,6,1,2,4,5,3,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,5,7,3,8,4,1,2] => [2,1,4,8,3,7,5,6] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[7,5,1,3,4,2,6,8] => [8,6,2,4,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,8,2,5,6,4] => [4,6,5,2,8,3,7,1] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,3,6,2,4,8] => [8,4,2,6,3,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,5,8,6,2,4] => [4,2,6,8,5,7,3,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,6,3,4,2,8] => [8,2,4,3,6,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,2,8,6,3,4,5,7] => [7,5,4,3,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[8,2,3,6,4,5,1,7] => [7,1,5,4,6,3,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,1,7,5,6,8,4,2] => [2,4,8,6,5,7,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,7,6,4,5,1,3] => [3,1,5,4,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,6,4,1,7,8,2,3] => [3,2,8,7,1,4,6,5] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,3,7,6,5,1,4,8] => [8,4,1,5,6,7,3,2] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,1,3,7,6,4,5] => [5,4,6,7,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,3,4,8,2,7,1,6] => [6,1,7,2,8,4,3,5] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,7,3,6,4,1,8] => [8,1,4,6,3,7,2,5] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,2,4,3,8,6,1,7] => [7,1,6,8,3,4,2,5] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,3,5,2,4,8,1,7] => [7,1,8,4,2,5,3,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,1,2,6,4,3,8] => [8,3,4,6,2,1,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,1,4,6,2,8] => [8,2,6,4,1,5,3,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,3,8,6,5,2,7] => [7,2,5,6,8,3,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,8,6,3,5,4] => [4,5,3,6,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,7,3,2,1,5,8] => [8,5,1,2,3,7,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,5,3,2,6,8,1,7] => [7,1,8,6,2,3,5,4] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,2,6,4,5,7,3] => [3,7,5,4,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,8,5,3,4,6,2] => [2,6,4,3,5,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,5,8,3,6,4,7,2] => [2,7,4,6,3,8,5,1] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,2,4,6,5,7,3] => [3,7,5,6,4,2,1,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[7,2,5,3,4,6,1,8] => [8,1,6,4,3,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,1,6,5,4,2,3,8] => [8,3,2,4,5,6,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,8,6,5,7,3,2] => [2,3,7,5,6,8,4,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,7,2,4,3,5,6] => [6,5,3,4,2,7,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[2,6,3,7,1,4,5,8] => [8,5,4,1,7,3,6,2] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,3,5,4,1,6,7] => [7,6,1,4,5,3,2,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[1,7,6,5,3,2,4,8] => [8,4,2,3,5,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,7,6,5,4,1,3,8] => [8,3,1,4,5,6,7,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,7,4,3,2,8,5,6] => [6,5,8,2,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,3,6,8,5,7,4,2] => [2,4,7,5,8,6,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,8,5,6,4,2,3] => [3,2,4,6,5,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[8,3,1,2,4,6,7,5] => [5,7,6,4,2,1,3,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[1,2,7,6,4,5,8,3] => [3,8,5,4,6,7,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,8,5,6,7,4,2,1] => [1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[5,3,4,7,1,6,2,8] => [8,2,6,1,7,4,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,6,5,2,4,3] => [3,4,2,5,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,4,8,6,5,1,2,3] => [3,2,1,5,6,8,4,7] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[1,4,3,2,6,8,5,7] => [7,5,8,6,2,3,4,1] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[3,5,7,6,4,8,1,2] => [2,1,8,4,6,7,5,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,1,4,3,2,5,8,7] => [7,8,5,2,3,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,2,1,1] => 1
[7,4,2,1,3,6,5,8] => [8,5,6,3,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,3,4,1,8,7] => [7,8,1,4,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,3,1] => 1
[1,8,2,5,7,4,6,3] => [3,6,4,7,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,2,3,6,8,7] => [7,8,6,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,5,8,7,6,4,1,3] => [3,1,4,6,7,8,5,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,2,8,6,7,5,4] => [4,5,7,6,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[3,1,2,5,8,7,4,6] => [6,4,7,8,5,2,1,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,5,3,6,2,8] => [8,2,6,3,5,4,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,4,5,3,6,8] => [8,6,3,5,4,2,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[6,4,5,8,2,3,1,7] => [7,1,3,2,8,5,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,7,8,3,1,2,5,6] => [6,5,2,1,3,8,7,4] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[6,2,1,3,7,5,8,4] => [4,8,5,7,3,1,2,6] => ([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,4,6,3,5,1,8] => [8,1,5,3,6,4,7,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,7,4,2,3,8,6] => [6,8,3,2,4,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,6,7,2,4,1,8] => [8,1,4,2,7,6,3,5] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,8,6,7,1,4,2] => [2,4,1,7,6,8,5,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,3,7,1,8,6] => [6,8,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,1,4,2,3,6,8] => [8,6,3,2,4,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,6,4,5,7,2] => [2,7,5,4,6,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,1,6,2,5,3,4,8] => [8,4,3,5,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,2,5,3,4,7] => [7,4,3,5,2,6,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,1,2,7,4,5,6,3] => [3,6,5,4,7,2,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,7,1,4,3,2,5,6] => [6,5,2,3,4,1,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,3] => 3
[3,5,1,4,7,2,6,8] => [8,6,2,7,4,1,5,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,1,4,3,7,8] => [8,7,3,4,1,2,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[6,8,7,1,4,5,2,3] => [3,2,5,4,1,7,8,6] => ([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [1,3,2,2] => 2
[1,6,8,7,2,4,5,3] => [3,5,4,2,7,8,6,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[6,5,1,4,2,3,7,8] => [8,7,3,2,4,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[7,1,6,3,2,4,5,8] => [8,5,4,2,3,6,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,2,5,6,4,7,3] => [3,7,4,6,5,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,6,1,5,2,3,8] => [8,3,2,5,1,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,6,8,7,5,2] => [2,5,7,8,6,4,1,3] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,6,4,7,3,5] => [5,3,7,4,6,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,1,3,4,2,7,8] => [8,7,2,4,3,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[5,7,4,3,2,6,1,8] => [8,1,6,2,3,4,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,8,4,5,3,6,2] => [2,6,3,5,4,8,7,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,6,1,3,4,2,5,8] => [8,5,2,4,3,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[7,1,2,4,5,6,3,8] => [8,3,6,5,4,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[8,2,5,3,4,1,6,7] => [7,6,1,4,3,5,2,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[3,1,8,4,6,5,7,2] => [2,7,5,6,4,8,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[7,3,1,8,6,4,5,2] => [2,5,4,6,8,1,3,7] => ([(0,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,6,1,7,2,4,3,5] => [5,3,4,2,7,1,6,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,1,3,8,7,4,6,5] => [5,6,4,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,1,3,8,7,6,4,5] => [5,4,6,7,8,3,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[7,3,1,4,2,6,5,8] => [8,5,6,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,4,1,6,2,5,3,8] => [8,3,5,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,1,7,2,6,4,8] => [8,4,6,2,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,3,4,5,2,6] => [6,2,5,4,3,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,8,7,4,5,2,3,6] => [6,3,2,5,4,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,4,2,3,5,8,1,7] => [7,1,8,5,3,2,4,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,3,1,8,5,7] => [7,5,8,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,4,2,3,1,5,8,7] => [7,8,5,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,7,4,5,3,2,6] => [6,2,3,5,4,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[8,1,4,6,5,3,2,7] => [7,2,3,5,6,4,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[6,2,7,4,5,3,1,8] => [8,1,3,5,4,7,2,6] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,2,5,3,4,1,7] => [7,1,4,3,5,2,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,8,3,7,4,2] => [2,4,7,3,8,5,6,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,4,8,3,2,5,6] => [6,5,2,3,8,4,7,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,3,6,4,5,2,7] => [7,2,5,4,6,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,7,3,4,5,2,6] => [6,2,5,4,3,7,1,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,2] => 2
[1,8,5,3,4,6,2,7] => [7,2,6,4,3,5,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,5,8,3,1,7,2] => [2,7,1,3,8,5,4,6] => ([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,8,5,6,4,1,3] => [3,1,4,6,5,8,7,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[4,3,6,5,1,2,7,8] => [8,7,2,1,5,6,3,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[2,8,3,7,6,4,5,1] => [1,5,4,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,3,8,7,6,5,2,4] => [4,2,5,6,7,8,3,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,2,6,1,4,5,3,8] => [8,3,5,4,1,6,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,3,5,8,1,7] => [7,1,8,5,3,4,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,6,3,5,8,2,7] => [7,2,8,5,3,6,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,1,3,2,6,8,7] => [7,8,6,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[6,2,4,3,1,8,5,7] => [7,5,8,1,3,4,2,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,1,6,7,5,2,3] => [3,2,5,7,6,1,8,4] => ([(0,6),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,3,5,1,7,4,8] => [8,4,7,1,5,3,6,2] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,7,5,6,4,1,3] => [3,1,4,6,5,7,8,2] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,5,7,3,4,2,8,6] => [6,8,2,4,3,7,5,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,8,3,4,2,7,6] => [6,7,2,4,3,8,5,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,6,1,2,3,5,4,8] => [8,4,5,3,2,1,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[1,3,4,7,2,6,5,8] => [8,5,6,2,7,4,3,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,5,3,7,2,8,6,4] => [4,6,8,2,7,3,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,4,5,1,3,8,6] => [6,8,3,1,5,4,2,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,7,3,4,2,5,6] => [6,5,2,4,3,7,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[1,4,6,8,5,2,7,3] => [3,7,2,5,8,6,4,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,5,2,4,3,8,1] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[3,6,4,5,2,8,1,7] => [7,1,8,2,5,4,6,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,6,4,5,2,7,8,1] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,8,3,7,6,5,2,4] => [4,2,5,6,7,3,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,4,3,1,7,6,2,8] => [8,2,6,7,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,8,1,6,3,5,4,2] => [2,4,5,3,6,1,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[8,7,1,6,5,4,2,3] => [3,2,4,5,6,1,7,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,3] => 3
[6,4,7,3,5,2,1,8] => [8,1,2,5,3,7,4,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,4,5,8,3,7,1,2] => [2,1,7,3,8,5,4,6] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[1,5,8,7,4,3,2,6] => [6,2,3,4,7,8,5,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,2,8,7,6,4,3,5] => [5,3,4,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[5,3,2,4,7,8,1,6] => [6,1,8,7,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[7,2,5,6,3,4,1,8] => [8,1,4,3,6,5,2,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[8,1,3,6,5,4,7,2] => [2,7,4,5,6,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[7,5,8,3,2,1,4,6] => [6,4,1,2,3,8,5,7] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,2,7,3,5,6,4] => [4,6,5,3,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,2,7,4,6,5] => [5,6,4,7,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,4,2,5,8,6] => [6,8,5,2,4,3,1,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,7,1,6,2,4,5,8] => [8,5,4,2,6,1,7,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,6,8,7,1,2,3] => [3,2,1,7,8,6,4,5] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[5,3,6,2,4,1,8,7] => [7,8,1,4,2,6,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,7,1,2,6,8] => [8,6,2,1,7,3,5,4] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,2,7,4,1,3,8] => [8,3,1,4,7,2,6,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,7,2,8,1,3] => [3,1,8,2,7,4,5,6] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,7,6,5,4,8,1,2] => [2,1,8,4,5,6,7,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => 2
[3,1,6,5,7,8,4,2] => [2,4,8,7,5,6,1,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,3,2,4,1,8,5,7] => [7,5,8,1,4,2,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,5,4,2,3,6,8] => [8,6,3,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,1,8,7,3,6,5,4] => [4,5,6,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,2,1] => 1
[6,3,4,2,1,8,7,5] => [5,7,8,1,2,4,3,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[1,5,4,2,3,8,7,6] => [6,7,8,3,2,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[5,3,4,1,6,2,8,7] => [7,8,2,6,1,4,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,4,7,5,6,2] => [2,6,5,7,4,3,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,2,1] => 1
[1,7,6,5,3,4,8,2] => [2,8,4,3,5,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[5,7,6,3,1,2,4,8] => [8,4,2,1,3,6,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,5,8,2,3,1,6,4] => [4,6,1,3,2,8,5,7] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,4,2,3,1,6,5] => [5,6,1,3,2,4,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[3,8,5,7,6,4,1,2] => [2,1,4,6,7,5,8,3] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[6,5,2,3,1,4,8,7] => [7,8,4,1,3,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[7,4,5,6,2,8,1,3] => [3,1,8,2,6,5,4,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,2,4,7,3,5,1,8] => [8,1,5,3,7,4,2,6] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,1,6,4,2,3] => [3,2,4,6,1,8,7,5] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[7,1,8,5,6,4,2,3] => [3,2,4,6,5,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[8,1,3,5,6,4,2,7] => [7,2,4,6,5,3,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,8,3,5,6,4,2,7] => [7,2,4,6,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,5,2,3,1,8,4,6] => [6,4,8,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,6,5,3,4,1,8] => [8,1,4,3,5,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,2,6,4,5,3,1,7] => [7,1,3,5,4,6,2,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,2,8,6,4,5,3,7] => [7,3,5,4,6,8,2,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,4,7,8,5,6,3,2] => [2,3,6,5,8,7,4,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,6,8,5,2,7,3,4] => [4,3,7,2,5,8,6,1] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,2,3,6,8,1,7] => [7,1,8,6,3,2,4,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,6,4,5,2,1,7,8] => [8,7,1,2,5,4,6,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,2,1] => 1
[3,2,8,1,7,5,6,4] => [4,6,5,7,1,8,2,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[6,8,1,7,3,4,2,5] => [5,2,4,3,7,1,8,6] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,6,4,5,8,2] => [2,8,5,4,6,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[1,4,2,6,7,5,8,3] => [3,8,5,7,6,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,4,7,6,5,1,3] => [3,1,5,6,7,4,8,2] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[2,8,7,1,5,6,4,3] => [3,4,6,5,1,7,8,2] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[3,6,7,5,8,4,1,2] => [2,1,4,8,5,7,6,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[5,7,6,2,3,1,4,8] => [8,4,1,3,2,6,7,5] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,2,6,7,4,5,3] => [3,5,4,7,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,2,8,3,4,7,6,5] => [5,6,7,4,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[1,8,7,2,5,4,3,6] => [6,3,4,5,2,7,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[1,2,8,3,6,5,4,7] => [7,4,5,6,3,8,2,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,1,1] => 1
[8,1,5,4,2,3,6,7] => [7,6,3,2,4,5,1,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,2,2] => 2
[1,6,7,5,8,3,4,2] => [2,4,3,8,5,7,6,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,3,1,2,4,7,5,8] => [8,5,7,4,2,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,3,4,6,7,5,2] => [2,5,7,6,4,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,7,8,6,1,5,3,4] => [4,3,5,1,6,8,7,2] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,3,7,6,8,4,2,5] => [5,2,4,8,6,7,3,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,4,2,3,5,7] => [7,5,3,2,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,6,7,5,2,3] => [3,2,5,7,6,4,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,3,5,6,4,2,8,1] => [1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[1,8,6,4,7,5,2,3] => [3,2,5,7,4,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[7,1,8,4,3,2,5,6] => [6,5,2,3,4,8,1,7] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,7,5,4,8,2,3,6] => [6,3,2,8,4,5,7,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,4,3,7,1,6,2] => [2,6,1,7,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => 2
[1,7,2,8,6,4,3,5] => [5,3,4,6,8,2,7,1] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,5,7,8,4,6,2] => [2,6,4,8,7,5,1,3] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,6,3,5,4,2,7] => [7,2,4,5,3,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,2,7,5,3,4,6] => [6,4,3,5,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,4,7,1,8,6] => [6,8,1,7,4,2,3,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,2,4,8,7,1,6] => [6,1,7,8,4,2,3,5] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,3,2,4,6,8,1,7] => [7,1,8,6,4,2,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,1,4,3,2,6,7] => [7,6,2,3,4,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[8,1,2,4,7,6,5,3] => [3,5,6,7,4,2,1,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[1,2,8,6,7,5,4,3] => [3,4,5,7,6,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[1,7,5,4,3,2,6,8] => [8,6,2,3,4,5,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[6,5,2,4,1,3,8,7] => [7,8,3,1,4,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[7,2,3,4,1,8,5,6] => [6,5,8,1,4,3,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,3,1,1,1,1] => 1
[3,7,5,6,2,4,1,8] => [8,1,4,2,6,5,7,3] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,8,1,3,2,4,6] => [6,4,2,3,1,8,7,5] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,6,3,4,2,1,8,5] => [5,8,1,2,4,3,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,5,3,8,7,2,4] => [4,2,7,8,3,5,6,1] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,6,5,4,8,7,1,2] => [2,1,7,8,4,5,6,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[1,6,4,3,8,2,7,5] => [5,7,2,8,3,4,6,1] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,3,2,8,6,7] => [7,6,8,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[7,1,8,4,5,3,6,2] => [2,6,3,5,4,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,8,6,5,7,2] => [2,7,5,6,8,1,3,4] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[4,3,1,5,2,7,8,6] => [6,8,7,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,6,5,4,7,2,8] => [8,2,7,4,5,6,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,1,2,6,5,3,7,8] => [8,7,3,5,6,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[5,1,3,6,7,4,2,8] => [8,2,4,7,6,3,1,5] => ([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,4,7,5,8,6,2] => [2,6,8,5,7,4,3,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,6,7,5,8,1,4,2] => [2,4,1,8,5,7,6,3] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,5,4,3,2,6] => [6,2,3,4,5,1,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,4,2] => 2
[1,7,3,2,8,6,5,4] => [4,5,6,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,4,8,7,6,3,2,5] => [5,2,3,6,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,2,4,6,7,5,3] => [3,5,7,6,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,8,2,6,7,5,4] => [4,5,7,6,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[6,7,4,5,3,1,8,2] => [2,8,1,3,5,4,7,6] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,6,1,4,5,2,3,8] => [8,3,2,5,4,1,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,2,4,5,3,8,1,7] => [7,1,8,3,5,4,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,8,4,2,5,7,3] => [3,7,5,2,4,8,6,1] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,6,4,2,5,3] => [3,5,2,4,6,8,1,7] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,2,3,1,8,7,5] => [5,7,8,1,3,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [1,2,1,2,1,1] => 1
[1,7,6,8,3,5,4,2] => [2,4,5,3,8,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[5,7,6,4,2,1,3,8] => [8,3,1,2,4,6,7,5] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,2,1] => 1
[6,8,2,4,1,5,3,7] => [7,3,5,1,4,2,8,6] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,2,3,5,1,7] => [7,1,5,3,2,4,8,6] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,8,2,6,7,5,1,3] => [3,1,5,7,6,2,8,4] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,7,3,5,1,4,8] => [8,4,1,5,3,7,2,6] => ([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,3,8,4,7,1] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,2] => 2
[6,8,7,2,3,4,5,1] => [1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,1,3] => 3
[2,7,6,3,4,5,1,8] => [8,1,5,4,3,6,7,2] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,1,5,7,4,6,8,2] => [2,8,6,4,7,5,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,2,7,4,1,3,8] => [8,3,1,4,7,2,5,6] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,3,4,2,6,8,1,7] => [7,1,8,6,2,4,3,5] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,7,3,6,1,4,2,8] => [8,2,4,1,6,3,7,5] => ([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,1,2,4,3,5,7,8] => [8,7,5,3,4,2,1,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[1,7,6,8,4,3,2,5] => [5,2,3,4,8,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,7,5,4,3,2,6] => [6,2,3,4,5,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,2,1] => 1
[1,8,3,7,5,4,6,2] => [2,6,4,5,7,3,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[2,4,5,6,3,8,1,7] => [7,1,8,3,6,5,4,2] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,1,2,8,7,6,4,5] => [5,4,6,7,8,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[8,1,4,6,5,7,3,2] => [2,3,7,5,6,4,1,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[1,6,7,4,3,8,2,5] => [5,2,8,3,4,7,6,1] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,4,7,3,8,5,2] => [2,5,8,3,7,4,6,1] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,8,6,4,5,2,3] => [3,2,5,4,6,8,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,3,3,1] => 1
[1,8,6,3,4,5,7,2] => [2,7,5,4,3,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[3,7,8,6,4,5,1,2] => [2,1,5,4,6,8,7,3] => ([(0,7),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[1,4,7,8,6,3,5,2] => [2,5,3,6,8,7,4,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,6,1,3,5,4,2,8] => [8,2,4,5,3,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,2,4,1,3,6,5,8] => [8,5,6,3,1,4,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,7,6,2,3,5,4] => [4,5,3,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[1,7,6,3,8,5,2,4] => [4,2,5,8,3,6,7,1] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,7,4,5,6,2] => [2,6,5,4,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[3,8,2,1,5,7,6,4] => [4,6,7,5,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,8,2,1,7,4,6,5] => [5,6,4,7,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,6,4,3,2,5,7] => [7,5,2,3,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,6,5,3,2,4,7] => [7,4,2,3,5,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,8,7,3,4,6,5,2] => [2,5,6,4,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,3,1] => 1
[5,1,7,4,6,2,3,8] => [8,3,2,6,4,7,1,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,8,4,3,2,7,5,1] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [1,1,1,2,1,2] => 2
[2,7,6,3,5,4,8,1] => [1,8,4,5,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[2,1,6,7,4,5,8,3] => [3,8,5,4,7,6,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[3,8,6,5,7,2,1,4] => [4,1,2,7,5,6,8,3] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,6,8,4,7,3,2,5] => [5,2,3,7,4,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,2,3,5,6,4,1,7] => [7,1,4,6,5,3,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,8,3,1,6,4,7,5] => [5,7,4,6,1,3,8,2] => ([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,3,1,7,4,6,5] => [5,6,4,7,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,4,3,1,2,7,6,8] => [8,6,7,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,8,2,3,5,7,6,4] => [4,6,7,5,3,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,6,8,7,3,5,1,2] => [2,1,5,3,7,8,6,4] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,8,5,3,2,4,6,7] => [7,6,4,2,3,5,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,1,6,4,7,8,3,5] => [5,3,8,7,4,6,1,2] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[1,6,8,4,5,7,2,3] => [3,2,7,5,4,8,6,1] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,7,6,3,4,5,1] => [1,5,4,3,6,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,3] => 3
[2,1,5,8,6,7,3,4] => [4,3,7,6,8,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[2,1,7,8,3,5,6,4] => [4,6,5,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[8,1,4,6,5,7,2,3] => [3,2,7,5,6,4,1,8] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[8,6,1,2,4,5,3,7] => [7,3,5,4,2,1,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,1,8,5,6,4,7,2] => [2,7,4,6,5,8,1,3] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,2,4,3,1,6] => [6,1,3,4,2,7,8,5] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[8,7,1,5,4,3,2,6] => [6,2,3,4,5,1,7,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,3] => 3
[2,1,8,5,3,4,6,7] => [7,6,4,3,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,2,1,1,1] => 1
[8,6,1,2,3,5,4,7] => [7,4,5,3,2,1,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[2,1,8,6,4,5,3,7] => [7,3,5,4,6,8,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,2,1,1] => 1
[2,8,1,7,4,5,3,6] => [6,3,5,4,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,5,6,4,3,2] => [2,3,4,6,5,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,6,5,7,8,1,3,2] => [2,3,1,8,7,5,6,4] => ([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[5,3,6,4,2,1,8,7] => [7,8,1,2,4,6,3,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,2,1] => 1
[6,5,7,4,1,8,3,2] => [2,3,8,1,4,7,5,6] => ([(0,7),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,2,5,3,4,8,1,7] => [7,1,8,4,3,5,2,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,5,3,4,8,1,7] => [7,1,8,4,3,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,2,3,1,6,4,8] => [8,4,6,1,3,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,3,5,4,6,2,7] => [7,2,6,4,5,3,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,7,4,6,3,5,8,2] => [2,8,5,3,6,4,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,5,3,6,1,4,8] => [8,4,1,6,3,5,2,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,4,2,5,1,8,6] => [6,8,1,5,2,4,3,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,6,8,1,5,2] => [2,5,1,8,6,7,4,3] => ([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,6,4,5,3,8] => [8,3,5,4,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[2,3,7,5,8,4,6,1] => [1,6,4,8,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,2,8,7,4,6,5,3] => [3,5,6,4,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[1,6,5,3,2,4,8,7] => [7,8,4,2,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,7,3,5,2,4,8,6] => [6,8,4,2,5,3,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,7,5,3,1,8] => [8,1,3,5,7,4,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,1,5,8,7,4,6] => [6,4,7,8,5,1,3,2] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,8,1,4,6,5,7,3] => [3,7,5,6,4,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[8,1,4,7,5,6,3,2] => [2,3,6,5,7,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[1,4,2,5,7,8,6,3] => [3,6,8,7,5,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,6,4,3,5,8,1] => [1,8,5,3,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,4,1,3,2,7,6,8] => [8,6,7,2,3,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[8,6,2,3,5,4,1,7] => [7,1,4,5,3,2,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[8,1,3,7,6,4,5,2] => [2,5,4,6,7,3,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,8,1,7,3,4,6,5] => [5,6,4,3,7,1,8,2] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,2,3,5,6,4,7] => [7,4,6,5,3,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[1,5,2,3,7,6,4,8] => [8,4,6,7,3,2,5,1] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,5,2,4,3,6,1,8] => [8,1,6,3,4,2,5,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,6,4,5,1,2,8,7] => [7,8,2,1,5,4,6,3] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,3,1,5,7,6,4] => [4,6,7,5,1,3,8,2] => ([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,4,3,5,2,7] => [7,2,5,3,4,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[1,3,7,8,2,6,4,5] => [5,4,6,2,8,7,3,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,6,2,8,3,7,4] => [4,7,3,8,2,6,5,1] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,3,2,8,7,5,6] => [6,5,7,8,2,3,4,1] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[3,7,5,6,4,2,1,8] => [8,1,2,4,6,5,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[7,5,2,4,1,3,8,6] => [6,8,3,1,4,2,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,2,4,3,5,8,1,7] => [7,1,8,5,3,4,2,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[6,3,2,4,5,8,1,7] => [7,1,8,5,4,2,3,6] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[1,7,3,2,8,5,6,4] => [4,6,5,8,2,3,7,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,5,3,6,7,4,8,1] => [1,8,4,7,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[5,6,2,3,7,4,8,1] => [1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,2,7,6,5,3,4,8] => [8,4,3,5,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,7,6,4,5,3,8] => [8,3,5,4,6,7,2,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[1,2,8,7,6,4,5,3] => [3,5,4,6,7,8,2,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,4,1] => 1
[5,7,8,2,3,1,6,4] => [4,6,1,3,2,8,7,5] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[6,7,8,2,5,4,1,3] => [3,1,4,5,2,8,7,6] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,6,5,3,4,7,1,8] => [8,1,7,4,3,5,6,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,3,5,7,4,6,1,8] => [8,1,6,4,7,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,8,4,3,5,1,6,2] => [2,6,1,5,3,4,8,7] => ([(0,1),(2,3),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,8,1,3,5,7,6,4] => [4,6,7,5,3,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,3,6,4,5,8,1] => [1,8,5,4,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[4,6,1,2,5,3,8,7] => [7,8,3,5,2,1,6,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,2,1,1,1,1] => 1
[5,7,1,6,4,3,2,8] => [8,2,3,4,6,1,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,2,4,5,6,3,7] => [7,3,6,5,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[1,8,5,3,7,6,2,4] => [4,2,6,7,3,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[8,1,3,5,6,4,7,2] => [2,7,4,6,5,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,4,8,1,2,6,5,7] => [7,5,6,2,1,8,4,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,1,3,6,7,2,4,8] => [8,4,2,7,6,3,1,5] => ([(0,4),(0,5),(0,7),(1,2),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,1,4,7,5,8,6,2] => [2,6,8,5,7,4,1,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,1,3,7,4,2,6,8] => [8,6,2,4,7,3,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,6,4,1,3,8,7] => [7,8,3,1,4,6,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,5,3,2,1,8,6,7] => [7,6,8,1,2,3,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[1,8,7,3,2,4,5,6] => [6,5,4,2,3,7,8,1] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,2,1] => 1
[4,6,5,7,2,3,8,1] => [1,8,3,2,7,5,6,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[5,4,2,3,1,7,8,6] => [6,8,7,1,3,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[8,1,7,2,3,4,6,5] => [5,6,4,3,2,7,1,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[4,7,5,6,2,8,1,3] => [3,1,8,2,6,5,7,4] => ([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,6,5,3,4,7,8] => [8,7,4,3,5,6,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[2,5,7,3,6,4,1,8] => [8,1,4,6,3,7,5,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,3,1,2,5,8,6] => [6,8,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,7,1,6,5,2,3,8] => [8,3,2,5,6,1,7,4] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,5,7,8,1,3,4] => [4,3,1,8,7,5,6,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,4,7,8,6,1,2,5] => [5,2,1,6,8,7,4,3] => ([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,1,5,7,6,8,3,4] => [4,3,8,6,7,5,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[1,8,7,6,2,4,5,3] => [3,5,4,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[5,3,4,6,1,8,2,7] => [7,2,8,1,6,4,3,5] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,2,6,5,3,4,8] => [8,4,3,5,6,2,7,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[7,2,4,1,3,5,8,6] => [6,8,5,3,1,4,2,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,1,2,4,3,6,7] => [7,6,3,4,2,1,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,2] => 2
[7,3,2,4,1,5,8,6] => [6,8,5,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,8,6,4,5,1,3] => [3,1,5,4,6,8,7,2] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,4,5,1,8,6,7,3] => [3,7,6,8,1,5,4,2] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[5,4,2,1,3,7,6,8] => [8,6,7,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[6,1,3,4,5,2,7,8] => [8,7,2,5,4,3,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,1,1,1] => 1
[7,1,3,4,5,6,2,8] => [8,2,6,5,4,3,1,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[7,1,6,4,3,2,5,8] => [8,5,2,3,4,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,2,6,4,7,1,3,8] => [8,3,1,7,4,6,2,5] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,4,3,7,2,6,8] => [8,6,2,7,3,4,5,1] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,7,4,8,3,5,6,2] => [2,6,5,3,8,4,7,1] => ([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,3,5,4,2,7] => [7,2,4,5,3,6,1,8] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[5,2,3,6,4,7,8,1] => [1,8,7,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,1,4,2,3,5,7,8] => [8,7,5,3,2,4,1,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,1,1,1] => 1
[2,4,5,3,7,1,6,8] => [8,6,1,7,3,5,4,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,5,1,4,2,6,8] => [8,6,2,4,1,5,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,6,7,5,4,3] => [3,4,5,7,6,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[2,8,1,6,5,3,4,7] => [7,4,3,5,6,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,1,5,4,3,2,7] => [7,2,3,4,5,1,8,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,8,6,7,2,4,5,3] => [3,5,4,2,7,6,8,1] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,5,6,3,4,7,2] => [2,7,4,3,6,5,8,1] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,4,8,5,7,3,6,2] => [2,6,3,7,5,8,4,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,4,5,6,8,3,2] => [2,3,8,6,5,4,7,1] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[1,6,8,4,7,5,3,2] => [2,3,5,7,4,8,6,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,7,5,4,6,2,1,8] => [8,1,2,6,4,5,7,3] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[3,1,5,8,6,7,2,4] => [4,2,7,6,8,5,1,3] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,2,6,5,7,8] => [8,7,5,6,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,2,1] => 1
[5,3,4,6,8,7,1,2] => [2,1,7,8,6,4,3,5] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,5,1,2,4,3,7,8] => [8,7,3,4,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,7,6,2,8,5,4,3] => [3,4,5,8,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[3,1,8,2,6,5,7,4] => [4,7,5,6,2,8,1,3] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,4,6,7,2,3,5] => [5,3,2,7,6,4,8,1] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,5,8,6,7,4,3,2] => [2,3,4,7,6,8,5,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[7,8,3,1,6,4,5,2] => [2,5,4,6,1,3,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[2,7,3,6,4,5,8,1] => [1,8,5,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[4,7,6,5,1,8,2,3] => [3,2,8,1,5,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,3,7,6,5,8,1,2] => [2,1,8,5,6,7,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,2,1,2] => 2
[7,5,8,4,2,1,3,6] => [6,3,1,2,4,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,7,5,8,4,6,2] => [2,6,4,8,5,7,3,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,1,5,3,4,6,2] => [2,6,4,3,5,1,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,7,5,6,3,4,8,2] => [2,8,4,3,6,5,7,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[7,2,6,3,5,4,1,8] => [8,1,4,5,3,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,8,2,4,6,5,3,7] => [7,3,5,6,4,2,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,1,7,8,2,3,5,4] => [4,5,3,2,8,7,1,6] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,8,3,2,6,5,7,4] => [4,7,5,6,2,3,8,1] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,6,8,7,1,3,4] => [4,3,1,7,8,6,5,2] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,7,2,8,6,5,4,3] => [3,4,5,6,8,2,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,3,6,5,4,2,1,7] => [7,1,2,4,5,6,3,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[1,8,2,7,6,3,5,4] => [4,5,3,6,7,2,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[5,2,7,4,6,1,3,8] => [8,3,1,6,4,7,2,5] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,4,6,3,5,2,8] => [8,2,5,3,6,4,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,7,8,3,5,4,6] => [6,4,5,3,8,7,1,2] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,3,2,1,1] => 1
[1,8,6,4,7,2,5,3] => [3,5,2,7,4,6,8,1] => ([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,4,7,5,3,1,8] => [8,1,3,5,7,4,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,2,5,7,3,1,8] => [8,1,3,7,5,2,6,4] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,8,7,3,2,1,4,6] => [6,4,1,2,3,7,8,5] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,8,7,2,5,6,4,3] => [3,4,6,5,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[2,5,7,6,8,3,4,1] => [1,4,3,8,6,7,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[6,5,4,7,1,8,3,2] => [2,3,8,1,7,4,5,6] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,2,4,3,1,5,6,8] => [8,6,5,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[1,7,6,3,4,5,8,2] => [2,8,5,4,3,6,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,2,4,5,3,6,7] => [7,6,3,5,4,2,8,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,1,1] => 1
[7,1,2,6,5,3,4,8] => [8,4,3,5,6,2,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[7,1,8,5,3,2,4,6] => [6,4,2,3,5,8,1,7] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,5,7,3,2,6,4] => [4,6,2,3,7,5,8,1] => ([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,2,4,1,8,5,6] => [6,5,8,1,4,2,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[7,4,2,3,5,1,8,6] => [6,8,1,5,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,1,6,4,2,8] => [8,2,4,6,1,3,7,5] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,4,5,3,1,6,8] => [8,6,1,3,5,4,2,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,5,8,2,7,1,3] => [3,1,7,2,8,5,4,6] => ([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,2,8,3,4,6,5,7] => [7,5,6,4,3,8,2,1] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,1,1] => 1
[4,5,7,6,1,2,8,3] => [3,8,2,1,6,7,5,4] => ([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[7,1,5,4,2,3,8,6] => [6,8,3,2,4,5,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[1,8,7,2,6,4,5,3] => [3,5,4,6,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[6,7,4,1,5,2,3,8] => [8,3,2,5,1,4,7,6] => ([(0,1),(0,7),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,7,6,1,5,2,8] => [8,2,5,1,6,7,3,4] => ([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,4,3,6,1,8,2] => [2,8,1,6,3,4,5,7] => ([(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,8,7,6,2,5,3] => [3,5,2,6,7,8,4,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,4,6,5,3,2,8,1] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[8,1,6,5,4,3,7,2] => [2,7,3,4,5,6,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,2] => 2
[7,4,5,3,8,1,6,2] => [2,6,1,8,3,5,4,7] => ([(0,6),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,6,5,3,4,1,7,8] => [8,7,1,4,3,5,6,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[5,4,2,3,7,1,6,8] => [8,6,1,7,3,2,4,5] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[7,5,6,2,3,1,8,4] => [4,8,1,3,2,6,5,7] => ([(0,7),(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,4,6,5,2,8,1,7] => [7,1,8,2,5,6,4,3] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,1,1,1] => 1
[4,2,7,5,6,8,1,3] => [3,1,8,6,5,7,2,4] => ([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,7,6,5,2,3,8] => [8,3,2,5,6,7,4,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[2,4,1,3,7,6,5,8] => [8,5,6,7,3,1,4,2] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[1,3,8,2,5,6,4,7] => [7,4,6,5,2,8,3,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,3,5,1,7,2,8] => [8,2,7,1,5,3,4,6] => ([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,4,7,5,3,1,2,8] => [8,2,1,3,5,7,4,6] => ([(0,7),(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,2,1] => 1
[6,2,3,1,8,4,5,7] => [7,5,4,8,1,3,2,6] => ([(0,2),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,5,8,3,2,6,4,7] => [7,4,6,2,3,8,5,1] => ([(0,4),(0,7),(1,2),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,6,2,4,1,5,8] => [8,5,1,4,2,6,3,7] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,2,4,3,1,8,5,6] => [6,5,8,1,3,4,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [1,2,1,1,1,1,1] => 1
[7,8,1,2,5,4,3,6] => [6,3,4,5,2,1,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[8,1,7,2,6,5,3,4] => [4,3,5,6,2,7,1,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[3,1,2,7,6,5,4,8] => [8,4,5,6,7,2,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[4,2,7,1,6,5,3,8] => [8,3,5,6,1,7,2,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,7,6,5,8,1,2] => [2,1,8,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,2,1,2] => 2
[7,3,5,6,1,4,2,8] => [8,2,4,1,6,5,3,7] => ([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[2,5,3,4,6,8,1,7] => [7,1,8,6,4,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[5,1,2,7,4,3,6,8] => [8,6,3,4,7,2,1,5] => ([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,6,3,1,2,8,4,7] => [7,4,8,2,1,3,6,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,1,7,2,3,8] => [8,3,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,1,7,2,6,5,8] => [8,5,6,2,7,1,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,3,5,1,6,2,4] => [4,2,6,1,5,3,8,7] => ([(0,1),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [1,1,2,1,1,2] => 2
[1,8,6,2,4,7,5,3] => [3,5,7,4,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,3,6,4,2,1,8] => [8,1,2,4,6,3,7,5] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,5,1,3,4,2,8,6] => [6,8,2,4,3,1,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,5,1,3,4,2,6,7] => [7,6,2,4,3,1,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[6,1,5,3,4,2,7,8] => [8,7,2,4,3,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[6,8,4,5,3,2,1,7] => [7,1,2,3,5,4,8,6] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,6,2,5,4,3,8,1] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[7,1,8,6,4,2,3,5] => [5,3,2,4,6,8,1,7] => ([(0,7),(1,2),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,2,4,6,5,7,3] => [3,7,5,6,4,2,8,1] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,4,2,5,7,1,6,8] => [8,6,1,7,5,2,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,5,7,8,6,1,2] => [2,1,6,8,7,5,3,4] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,8,2,1,3,5,6,4] => [4,6,5,3,1,2,8,7] => ([(0,1),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[8,1,2,4,7,3,5,6] => [6,5,3,7,4,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,6,8,7,2,5,4,3] => [3,4,5,2,7,8,6,1] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,4,8,7,6,3,5,2] => [2,5,3,6,7,8,4,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,4,5,3,8,7,1,2] => [2,1,7,8,3,5,4,6] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[6,4,5,8,1,7,2,3] => [3,2,7,1,8,5,4,6] => ([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [1,2,2,1,1,1] => 1
[7,1,3,4,6,5,2,8] => [8,2,5,6,4,3,1,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[1,8,6,2,7,5,3,4] => [4,3,5,7,2,6,8,1] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,3,5,6,8,4,7,1] => [1,7,4,8,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,6,5,3,4,2,7,8] => [8,7,2,4,3,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [3,1,3,1] => 1
[8,1,4,6,7,5,3,2] => [2,3,5,7,6,4,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[8,1,5,7,6,4,3,2] => [2,3,4,6,7,5,1,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,2] => 2
[1,3,5,8,2,6,4,7] => [7,4,6,2,8,5,3,1] => ([(0,4),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,8,7,6,1,4,2] => [2,4,1,6,7,8,5,3] => ([(0,5),(1,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,6,4,8,5,2,3,7] => [7,3,2,5,8,4,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,7,6,4,5,2] => [2,5,4,6,7,8,3,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,6,4,5,2,8,3,7] => [7,3,8,2,5,4,6,1] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,5,3,4,7,8,6,1] => [1,6,8,7,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,5,8,2,4,3,1,6] => [6,1,3,4,2,8,5,7] => ([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,7,8,6,3,5,1,4] => [4,1,5,3,6,8,7,2] => ([(0,6),(1,7),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,3,5,4,2,6,8] => [8,6,2,4,5,3,1,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[4,7,5,1,6,2,3,8] => [8,3,2,6,1,5,7,4] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,1,8,3,5,2,6,4] => [4,6,2,5,3,8,1,7] => ([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,7,2,5,4,3,8] => [8,3,4,5,2,7,6,1] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,1,1] => 1
[4,2,3,5,7,8,6,1] => [1,6,8,7,5,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[7,2,6,4,3,5,1,8] => [8,1,5,3,4,6,2,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[7,1,8,5,2,6,3,4] => [4,3,6,2,5,8,1,7] => ([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,3,8,6,7,4,5,2] => [2,5,4,7,6,8,3,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[2,5,7,6,4,8,1,3] => [3,1,8,4,6,7,5,2] => ([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,6,5,7,1,8,2,3] => [3,2,8,1,7,5,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,1,1] => 1
[2,6,7,5,3,4,1,8] => [8,1,4,3,5,7,6,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[4,7,6,3,2,1,5,8] => [8,5,1,2,3,6,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,5,3,7,4,6,8,2] => [2,8,6,4,7,3,5,1] => ([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,4,2,8,6,7,5,3] => [3,5,7,6,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[4,7,3,6,1,5,2,8] => [8,2,5,1,6,3,7,4] => ([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,1,8,6,5,3,4,2] => [2,4,3,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[4,5,3,1,7,8,6,2] => [2,6,8,7,1,3,5,4] => ([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,3,6,1,4,2,5,8] => [8,5,2,4,1,6,3,7] => ([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,2,3,6,7,5,8,1] => [1,8,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[3,8,4,6,7,5,1,2] => [2,1,5,7,6,4,8,3] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[4,7,3,1,5,2,6,8] => [8,6,2,5,1,3,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,3,5,6,4,2] => [2,4,6,5,3,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[7,6,4,5,3,1,8,2] => [2,8,1,3,5,4,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,3,7,6,2,5,8,4] => [4,8,5,2,6,7,3,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,6,4,5,7,3,2] => [2,3,7,5,4,6,1,8] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[4,7,5,6,1,3,2,8] => [8,2,3,1,6,5,7,4] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,8,7,5,3,6,2,4] => [4,2,6,3,5,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[5,7,6,3,2,1,4,8] => [8,4,1,2,3,6,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[1,7,4,6,8,2,3,5] => [5,3,2,8,6,4,7,1] => ([(0,6),(0,7),(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,7,3,6,8,2,4,5] => [5,4,2,8,6,3,7,1] => ([(0,5),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,3,1,6,4,5,7] => [7,5,4,6,1,3,2,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[8,1,3,4,5,6,2,7] => [7,2,6,5,4,3,1,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,3,1,2] => 2
[3,5,8,7,6,2,1,4] => [4,1,2,6,7,8,5,3] => ([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[3,1,5,6,4,7,2,8] => [8,2,7,4,6,5,1,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[2,1,8,5,6,3,4,7] => [7,4,3,6,5,8,1,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,1,1] => 1
[4,8,3,6,7,5,1,2] => [2,1,5,7,6,3,8,4] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[1,4,3,8,6,7,2,5] => [5,2,7,6,8,3,4,1] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[3,7,8,6,1,5,2,4] => [4,2,5,1,6,8,7,3] => ([(0,7),(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,3,1,4,2,5,6,8] => [8,6,5,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[6,2,5,3,4,7,8,1] => [1,8,7,4,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,3,5,6,4,8,1,7] => [7,1,8,4,6,5,3,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,5,3,6,4,8,1,7] => [7,1,8,4,6,3,5,2] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,1,7,3,2,8] => [8,2,3,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,1,2,6,4,7,3,5] => [5,3,7,4,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[2,8,1,4,6,5,3,7] => [7,3,5,6,4,1,8,2] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,3,1,2,7,6,5,8] => [8,5,6,7,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[4,6,2,5,3,7,1,8] => [8,1,7,3,5,2,6,4] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,1,3,4,2,7,5,6] => [6,5,7,2,4,3,1,8] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,2,2,2] => 2
[3,1,2,7,8,6,5,4] => [4,5,6,8,7,2,1,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,2,3,1] => 1
[7,4,5,1,6,2,3,8] => [8,3,2,6,1,5,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,3,1,1,1] => 1
[1,7,4,3,8,2,6,5] => [5,6,2,8,3,4,7,1] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[1,4,2,8,7,5,6,3] => [3,6,5,7,8,2,4,1] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,8,5,2,4,1,3,7] => [7,3,1,4,2,5,8,6] => ([(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[4,7,5,3,2,1,6,8] => [8,6,1,2,3,5,7,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[3,4,7,6,8,5,1,2] => [2,1,5,8,6,7,4,3] => ([(0,1),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,2,2] => 2
[4,6,2,5,3,7,8,1] => [1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[7,6,1,5,3,2,4,8] => [8,4,2,3,5,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[6,7,8,2,1,3,5,4] => [4,5,3,1,2,8,7,6] => ([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,4,2] => 2
[7,1,5,3,4,6,2,8] => [8,2,6,4,3,5,1,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[8,2,3,4,6,5,1,7] => [7,1,5,6,4,3,2,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,3,1,1,2] => 2
[4,1,2,8,6,7,5,3] => [3,5,7,6,8,2,1,4] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[6,1,5,4,3,2,7,8] => [8,7,2,3,4,5,1,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,3,1,1] => 1
[8,5,7,1,3,2,4,6] => [6,4,2,3,1,7,5,8] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[3,8,2,1,6,5,7,4] => [4,7,5,6,1,2,8,3] => ([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[6,5,4,7,1,3,2,8] => [8,2,3,1,7,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[8,2,4,5,3,6,1,7] => [7,1,6,3,5,4,2,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,2] => 2
[2,1,8,7,3,5,6,4] => [4,6,5,3,7,8,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,1,1,2,1] => 1
[8,1,2,6,3,4,7,5] => [5,7,4,3,6,2,1,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,1,1,2] => 2
[1,7,2,6,8,4,3,5] => [5,3,4,8,6,2,7,1] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,8,5,2,4,3,1,6] => [6,1,3,4,2,5,8,7] => ([(0,1),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,2] => 2
[8,1,3,4,7,6,5,2] => [2,5,6,7,4,3,1,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[2,7,8,3,5,4,6,1] => [1,6,4,5,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,2,1,2] => 2
[1,7,6,2,5,4,3,8] => [8,3,4,5,2,6,7,1] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,2,1] => 1
[7,8,4,2,3,6,1,5] => [5,1,6,3,2,4,8,7] => ([(0,1),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,1,1,2,1,2] => 2
[3,4,8,6,7,5,2,1] => [1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,2,3] => 3
[4,7,2,3,1,6,5,8] => [8,5,6,1,3,2,7,4] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,2,1,1,1,1] => 1
[7,8,2,1,6,4,5,3] => [3,5,4,6,1,2,8,7] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [1,2,3,2] => 2
[1,6,5,4,8,3,7,2] => [2,7,3,8,4,5,6,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[5,7,4,3,2,1,6,8] => [8,6,1,2,3,4,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,3,1,1] => 1
[7,4,2,3,6,1,5,8] => [8,5,1,6,3,2,4,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,8,7,2,4,6,5,3] => [3,5,6,4,2,7,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,2,1] => 1
[1,7,6,8,2,4,5,3] => [3,5,4,2,8,6,7,1] => ([(0,6),(0,7),(1,3),(1,7),(2,3),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,2,2,1,1] => 1
[1,4,2,7,5,6,8,3] => [3,8,6,5,7,2,4,1] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,5,8,7,4,6,1,2] => [2,1,6,4,7,8,5,3] => ([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[2,1,7,6,4,3,5,8] => [8,5,3,4,6,7,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[1,8,7,6,2,5,3,4] => [4,3,5,2,6,7,8,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,3,1] => 1
[1,8,6,5,3,4,7,2] => [2,7,4,3,5,6,8,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,2,1] => 1
[1,6,4,7,5,2,8,3] => [3,8,2,5,7,4,6,1] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,5,3,6,4,7,8,2] => [2,8,7,4,6,3,5,1] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[2,8,7,3,6,4,5,1] => [1,5,4,6,3,7,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,2,2] => 2
[4,2,3,5,7,1,6,8] => [8,6,1,7,5,3,2,4] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[7,4,5,3,1,6,2,8] => [8,2,6,1,3,5,4,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[5,7,4,2,3,6,1,8] => [8,1,6,3,2,4,7,5] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[3,4,1,7,6,5,2,8] => [8,2,5,6,7,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [1,1,1,1,2,1,1] => 1
[2,7,5,6,4,8,3,1] => [1,3,8,4,6,5,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,2] => 2
[1,8,6,2,7,5,4,3] => [3,4,5,7,2,6,8,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
[7,5,8,2,3,4,1,6] => [6,1,4,3,2,8,5,7] => ([(0,3),(1,7),(2,3),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[3,5,2,4,6,7,1,8] => [8,1,7,6,4,2,5,3] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,1,1,1,1] => 1
[8,3,5,4,6,2,1,7] => [7,1,2,6,4,5,3,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,2,1,2,2] => 2
[7,2,5,6,4,1,3,8] => [8,3,1,4,6,5,2,7] => ([(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[6,5,4,1,3,2,7,8] => [8,7,2,3,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [2,1,1,3,1] => 1
[7,2,1,6,4,3,5,8] => [8,5,3,4,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,6,5,2,4,3,8,7] => [7,8,3,4,2,5,6,1] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [2,2,1,2,1] => 1
[2,7,1,5,3,6,4,8] => [8,4,6,3,5,1,7,2] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [1,1,1,1,1,1,1,1] => 1
[1,7,3,8,6,5,4,2] => [2,4,5,6,8,3,7,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [1,1,1,2,1,1,1] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 3,2,1 13,7,3,1 71,32,12,4,1 461,177,58,18,5,1 3447,1142,327,92,25,6,1
F1=q
F2=q+q2
F3=3 q+2 q2+q3
F4=13 q+7 q2+3 q3+q4
F5=71 q+32 q2+12 q3+4 q4+q5
F6=461 q+177 q2+58 q3+18 q4+5 q5+q6
F7=3447 q+1142 q2+327 q3+92 q4+25 q5+6 q6+q7
Description
The last part of an integer composition.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
Map
Laplacian multiplicities
Description
The composition of multiplicities of the Laplacian eigenvalues.
Let λ1>λ2>… be the eigenvalues of the Laplacian matrix of a graph on n vertices. Then this map returns the composition a1,…,ak of n where ai is the multiplicity of λi.
Let λ1>λ2>… be the eigenvalues of the Laplacian matrix of a graph on n vertices. Then this map returns the composition a1,…,ak of n where ai is the multiplicity of λi.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of {1,…,n}, this is the graph with vertices {1,…,n}, where (i,j) is an edge if and only if it is an inversion of the permutation.
For a permutation of {1,…,n}, this is the graph with vertices {1,…,n}, where (i,j) is an edge if and only if it is an inversion of the permutation.
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