Identifier
-
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St000307: Posets ⟶ ℤ
Values
[1] => [1] => ([],1) => 1
[1,2] => [1,2] => ([(0,1)],2) => 1
[2,1] => [2,1] => ([],2) => 2
[1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,3,2] => [1,3,2] => ([(0,1),(0,2)],3) => 2
[2,1,3] => [2,1,3] => ([(0,2),(1,2)],3) => 2
[2,3,1] => [3,2,1] => ([],3) => 4
[3,1,2] => [3,2,1] => ([],3) => 4
[3,2,1] => [3,2,1] => ([],3) => 4
[1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,4,3] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[1,3,2,4] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[1,3,4,2] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 4
[1,4,2,3] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 4
[1,4,3,2] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 4
[2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 2
[2,1,4,3] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[2,3,1,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 4
[2,3,4,1] => [4,2,3,1] => ([(2,3)],4) => 2
[2,4,1,3] => [3,4,1,2] => ([(0,3),(1,2)],4) => 3
[2,4,3,1] => [4,3,2,1] => ([],4) => 8
[3,1,2,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 4
[3,1,4,2] => [4,2,3,1] => ([(2,3)],4) => 2
[3,2,1,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 4
[3,2,4,1] => [4,2,3,1] => ([(2,3)],4) => 2
[3,4,1,2] => [4,3,2,1] => ([],4) => 8
[3,4,2,1] => [4,3,2,1] => ([],4) => 8
[4,1,2,3] => [4,2,3,1] => ([(2,3)],4) => 2
[4,1,3,2] => [4,2,3,1] => ([(2,3)],4) => 2
[4,2,1,3] => [4,3,2,1] => ([],4) => 8
[4,2,3,1] => [4,3,2,1] => ([],4) => 8
[4,3,1,2] => [4,3,2,1] => ([],4) => 8
[4,3,2,1] => [4,3,2,1] => ([],4) => 8
[1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,5,4] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[1,2,4,3,5] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,2,4,5,3] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 4
[1,2,5,3,4] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 4
[1,2,5,4,3] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 4
[1,3,2,4,5] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,3,2,5,4] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3
[1,3,4,2,5] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 4
[1,3,4,5,2] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 2
[1,3,5,2,4] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 3
[1,3,5,4,2] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,4,2,3,5] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 4
[1,4,2,5,3] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 2
[1,4,3,2,5] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 4
[1,4,3,5,2] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 2
[1,4,5,2,3] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,4,5,3,2] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,5,2,3,4] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 2
[1,5,2,4,3] => [1,5,3,4,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 2
[1,5,3,2,4] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,5,3,4,2] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,5,4,2,3] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[1,5,4,3,2] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 8
[2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[2,1,3,5,4] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 3
[2,1,4,3,5] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3
[2,1,4,5,3] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
[2,1,5,3,4] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
[2,1,5,4,3] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
[2,3,1,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 4
[2,3,1,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
[2,3,4,1,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,3,4,5,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[2,3,5,1,4] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 3
[2,3,5,4,1] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[2,4,1,3,5] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 3
[2,4,1,5,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 3
[2,4,3,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[2,4,3,5,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[2,4,5,1,3] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 3
[2,4,5,3,1] => [5,4,3,2,1] => ([],5) => 16
[2,5,1,3,4] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 3
[2,5,1,4,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 3
[2,5,3,1,4] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 3
[2,5,3,4,1] => [5,4,3,2,1] => ([],5) => 16
[2,5,4,1,3] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 3
[2,5,4,3,1] => [5,4,3,2,1] => ([],5) => 16
[3,1,2,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 4
[3,1,2,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
[3,1,4,2,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[3,1,4,5,2] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[3,1,5,2,4] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 3
[3,1,5,4,2] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[3,2,1,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 4
[3,2,1,5,4] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
[3,2,4,1,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[3,2,4,5,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[3,2,5,1,4] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 3
[3,2,5,4,1] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[3,4,1,2,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[3,4,1,5,2] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[3,4,2,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[3,4,2,5,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[3,4,5,1,2] => [5,4,3,2,1] => ([],5) => 16
[3,4,5,2,1] => [5,4,3,2,1] => ([],5) => 16
[3,5,1,2,4] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 3
[3,5,1,4,2] => [5,4,3,2,1] => ([],5) => 16
>>> Load all 9627 entries. <<<[3,5,2,1,4] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => 3
[3,5,2,4,1] => [5,4,3,2,1] => ([],5) => 16
[3,5,4,1,2] => [5,4,3,2,1] => ([],5) => 16
[3,5,4,2,1] => [5,4,3,2,1] => ([],5) => 16
[4,1,2,3,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,1,2,5,3] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[4,1,3,2,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[4,1,3,5,2] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[4,1,5,2,3] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[4,1,5,3,2] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[4,2,1,3,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[4,2,1,5,3] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[4,2,3,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[4,2,3,5,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[4,2,5,1,3] => [5,4,3,2,1] => ([],5) => 16
[4,2,5,3,1] => [5,4,3,2,1] => ([],5) => 16
[4,3,1,2,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[4,3,1,5,2] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[4,3,2,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 8
[4,3,2,5,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[4,3,5,1,2] => [5,4,3,2,1] => ([],5) => 16
[4,3,5,2,1] => [5,4,3,2,1] => ([],5) => 16
[4,5,1,2,3] => [5,4,3,2,1] => ([],5) => 16
[4,5,1,3,2] => [5,4,3,2,1] => ([],5) => 16
[4,5,2,1,3] => [5,4,3,2,1] => ([],5) => 16
[4,5,2,3,1] => [5,4,3,2,1] => ([],5) => 16
[4,5,3,1,2] => [5,4,3,2,1] => ([],5) => 16
[4,5,3,2,1] => [5,4,3,2,1] => ([],5) => 16
[5,1,2,3,4] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[5,1,2,4,3] => [5,2,3,4,1] => ([(2,3),(3,4)],5) => 4
[5,1,3,2,4] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[5,1,3,4,2] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[5,1,4,2,3] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[5,1,4,3,2] => [5,2,4,3,1] => ([(2,3),(2,4)],5) => 6
[5,2,1,3,4] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[5,2,1,4,3] => [5,3,2,4,1] => ([(2,4),(3,4)],5) => 6
[5,2,3,1,4] => [5,4,3,2,1] => ([],5) => 16
[5,2,3,4,1] => [5,4,3,2,1] => ([],5) => 16
[5,2,4,1,3] => [5,4,3,2,1] => ([],5) => 16
[5,2,4,3,1] => [5,4,3,2,1] => ([],5) => 16
[5,3,1,2,4] => [5,4,3,2,1] => ([],5) => 16
[5,3,1,4,2] => [5,4,3,2,1] => ([],5) => 16
[5,3,2,1,4] => [5,4,3,2,1] => ([],5) => 16
[5,3,2,4,1] => [5,4,3,2,1] => ([],5) => 16
[5,3,4,1,2] => [5,4,3,2,1] => ([],5) => 16
[5,3,4,2,1] => [5,4,3,2,1] => ([],5) => 16
[5,4,1,2,3] => [5,4,3,2,1] => ([],5) => 16
[5,4,1,3,2] => [5,4,3,2,1] => ([],5) => 16
[5,4,2,1,3] => [5,4,3,2,1] => ([],5) => 16
[5,4,2,3,1] => [5,4,3,2,1] => ([],5) => 16
[5,4,3,1,2] => [5,4,3,2,1] => ([],5) => 16
[5,4,3,2,1] => [5,4,3,2,1] => ([],5) => 16
[1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,2,3,5,6,4] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 4
[1,2,3,6,4,5] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 4
[1,2,3,6,5,4] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 4
[1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 3
[1,2,4,5,3,6] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
[1,2,4,5,6,3] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
[1,2,4,6,3,5] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 3
[1,2,4,6,5,3] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,5,3,4,6] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
[1,2,5,3,6,4] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
[1,2,5,4,3,6] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
[1,2,5,4,6,3] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
[1,2,5,6,3,4] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,5,6,4,3] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,6,3,4,5] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
[1,2,6,3,5,4] => [1,2,6,4,5,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
[1,2,6,4,3,5] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,6,4,5,3] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,6,5,3,4] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,2,6,5,4,3] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
[1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 3
[1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
[1,3,2,5,6,4] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
[1,3,2,6,4,5] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
[1,3,2,6,5,4] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
[1,3,4,2,5,6] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
[1,3,4,2,6,5] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
[1,3,4,5,2,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
[1,3,4,5,6,2] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,3,4,6,5,2] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,3,5,2,4,6] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 3
[1,3,5,4,2,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,3,5,4,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,3,5,6,2,4] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
[1,3,5,6,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,3,6,4,2,5] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
[1,3,6,4,5,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,3,6,5,2,4] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
[1,3,6,5,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,2,3,5,6] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
[1,4,2,3,6,5] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
[1,4,2,5,3,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
[1,4,2,5,6,3] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,4,2,6,5,3] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,4,3,2,5,6] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
[1,4,3,2,6,5] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
[1,4,3,5,2,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
[1,4,3,5,6,2] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,4,3,6,5,2] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,4,5,2,3,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,4,5,2,6,3] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,4,5,3,2,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,4,5,3,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,4,5,6,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,5,6,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,6,2,3,5] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
[1,4,6,2,5,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,6,3,2,5] => [1,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
[1,4,6,3,5,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,6,5,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,4,6,5,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,2,3,4,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
[1,5,2,3,6,4] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,5,2,4,3,6] => [1,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
[1,5,2,4,6,3] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,5,2,6,3,4] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,5,2,6,4,3] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,5,3,2,4,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,5,3,2,6,4] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,5,3,4,2,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,5,3,4,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,5,3,6,2,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,3,6,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,4,2,3,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,5,4,2,6,3] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,5,4,3,2,6] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
[1,5,4,3,6,2] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,5,4,6,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,4,6,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,2,3,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,2,4,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,3,2,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,3,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,4,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,5,6,4,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,2,3,4,5] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,6,2,3,5,4] => [1,6,3,4,5,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
[1,6,2,4,3,5] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,6,2,4,5,3] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,6,2,5,3,4] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,6,2,5,4,3] => [1,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
[1,6,3,2,4,5] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,6,3,2,5,4] => [1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
[1,6,3,4,2,5] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,3,4,5,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,3,5,2,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,3,5,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,2,3,5] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,2,5,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,3,2,5] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,3,5,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,5,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,4,5,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,2,3,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,2,4,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,3,2,4] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,3,4,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,4,2,3] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[1,6,5,4,3,2] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
[2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[2,1,3,4,6,5] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 3
[2,1,3,5,4,6] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 3
[2,1,3,5,6,4] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 5
[2,1,3,6,4,5] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 5
[2,1,3,6,5,4] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 5
[2,1,4,3,5,6] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 3
[2,1,4,3,6,5] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 4
[2,1,4,5,3,6] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
[2,1,4,5,6,3] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[2,1,4,6,3,5] => [2,1,5,6,3,4] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 4
[2,1,4,6,5,3] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,5,3,4,6] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
[2,1,5,3,6,4] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[2,1,5,4,3,6] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
[2,1,5,4,6,3] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[2,1,5,6,3,4] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,5,6,4,3] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,6,3,4,5] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[2,1,6,3,5,4] => [2,1,6,4,5,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[2,1,6,4,3,5] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,6,4,5,3] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,6,5,3,4] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,1,6,5,4,3] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
[2,3,1,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 4
[2,3,1,4,6,5] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 5
[2,3,1,5,4,6] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 5
[2,3,1,5,6,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[2,3,1,6,4,5] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[2,3,1,6,5,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[2,3,4,1,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[2,3,4,1,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[2,3,4,5,1,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[2,3,4,5,6,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[2,3,4,6,5,1] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[2,3,5,1,4,6] => [4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 3
[2,3,5,4,1,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[2,3,5,4,6,1] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[2,3,5,6,4,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[2,3,6,4,5,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[2,3,6,5,4,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[2,4,1,3,5,6] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 3
[2,4,1,3,6,5] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,1,6,3,5] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 2
[2,4,1,6,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,4,3,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[2,4,3,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[2,4,3,5,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[2,4,3,5,6,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[2,4,3,6,1,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[2,4,3,6,5,1] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[2,4,5,1,3,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,4,5,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[2,4,5,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[2,4,5,6,1,3] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[2,4,5,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[2,4,6,1,3,5] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 4
[2,4,6,1,5,3] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,4,6,3,1,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[2,4,6,3,5,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[2,4,6,5,1,3] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,4,6,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,5,1,6,3,4] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,5,1,6,4,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,5,3,1,4,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,3,4,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[2,5,3,4,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[2,5,3,6,1,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[2,5,3,6,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[2,5,4,1,3,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[2,5,4,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[2,5,4,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[2,5,4,6,1,3] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[2,5,4,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[2,5,6,1,3,4] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,5,6,1,4,3] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,5,6,3,1,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,5,6,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,5,6,4,1,3] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,5,6,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,6,1,4,3,5] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,6,1,4,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,6,1,5,3,4] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,6,1,5,4,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
[2,6,3,4,1,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[2,6,3,4,5,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[2,6,3,5,1,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[2,6,3,5,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[2,6,4,1,3,5] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,6,4,1,5,3] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,6,4,3,1,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,6,4,3,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,6,4,5,1,3] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,6,4,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,6,5,1,3,4] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,6,5,1,4,3] => [4,6,5,1,3,2] => ([(0,4),(0,5),(1,2),(1,3)],6) => 7
[2,6,5,3,1,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,6,5,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[2,6,5,4,1,3] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[2,6,5,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,1,2,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 4
[3,1,2,4,6,5] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 5
[3,1,2,5,4,6] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 5
[3,1,2,5,6,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,1,2,6,4,5] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,1,2,6,5,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,1,4,2,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[3,1,4,2,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[3,1,4,5,2,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[3,1,4,5,6,2] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[3,1,4,6,5,2] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[3,1,5,2,4,6] => [4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 3
[3,1,5,4,2,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[3,1,5,4,6,2] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[3,1,5,6,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,1,6,4,5,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,1,6,5,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 4
[3,2,1,4,6,5] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 5
[3,2,1,5,4,6] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 5
[3,2,1,5,6,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,2,1,6,4,5] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,2,1,6,5,4] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
[3,2,4,1,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[3,2,4,1,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[3,2,4,5,1,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[3,2,4,5,6,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[3,2,4,6,5,1] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[3,2,5,1,4,6] => [4,2,5,1,3,6] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 3
[3,2,5,4,1,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[3,2,5,4,6,1] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[3,2,5,6,4,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,2,6,4,5,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,2,6,5,4,1] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[3,4,1,2,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[3,4,1,2,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[3,4,1,5,2,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[3,4,1,5,6,2] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[3,4,1,6,2,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[3,4,1,6,5,2] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[3,4,2,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[3,4,2,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[3,4,2,5,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[3,4,2,5,6,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[3,4,2,6,1,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[3,4,2,6,5,1] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[3,4,5,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,4,5,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,4,5,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,4,5,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,4,5,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,4,5,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,4,6,1,2,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[3,4,6,1,5,2] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[3,4,6,2,1,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[3,4,6,2,5,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[3,4,6,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,4,6,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,5,1,2,4,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[3,5,1,4,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,5,1,4,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,5,1,6,2,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,5,1,6,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,5,2,1,4,6] => [4,5,3,1,2,6] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
[3,5,2,4,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,5,2,4,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,5,2,6,1,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,5,2,6,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,5,4,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,5,4,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,5,4,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[3,5,4,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[3,5,4,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,5,4,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,5,6,1,2,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,5,6,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,5,6,2,1,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,5,6,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,5,6,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,5,6,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,1,4,2,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,6,1,4,5,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,6,1,5,2,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,6,1,5,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,6,2,4,1,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,6,2,4,5,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,6,2,5,1,4] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[3,6,2,5,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[3,6,4,1,2,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,6,4,1,5,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,4,2,1,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,6,4,2,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,4,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,4,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,5,1,2,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,6,5,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,5,2,1,4] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[3,6,5,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,5,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[3,6,5,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,1,2,3,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[4,1,2,3,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[4,1,2,5,3,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[4,1,2,5,6,3] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[4,1,2,6,5,3] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[4,1,3,2,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
[4,1,3,2,6,5] => [4,2,3,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[4,1,3,5,2,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[4,1,3,5,6,2] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[4,1,3,6,5,2] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[4,1,5,2,3,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[4,1,5,2,6,3] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[4,1,5,3,2,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[4,1,5,3,6,2] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[4,1,5,6,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,1,5,6,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,1,6,2,5,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,1,6,3,5,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,1,6,5,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,1,6,5,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[4,2,1,3,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[4,2,1,3,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[4,2,1,5,3,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[4,2,1,5,6,3] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[4,2,1,6,3,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[4,2,1,6,5,3] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[4,2,3,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[4,2,3,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[4,2,3,5,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[4,2,3,5,6,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[4,2,3,6,1,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[4,2,3,6,5,1] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[4,2,5,1,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,2,5,1,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,2,5,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,2,5,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,2,5,6,1,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,2,5,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,2,6,1,3,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[4,2,6,1,5,3] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[4,2,6,3,1,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[4,2,6,3,5,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[4,2,6,5,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,2,6,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,3,1,2,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[4,3,1,2,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[4,3,1,5,2,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[4,3,1,5,6,2] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[4,3,1,6,2,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[4,3,1,6,5,2] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
[4,3,2,1,6,5] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
[4,3,2,5,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[4,3,2,5,6,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[4,3,2,6,1,5] => [5,3,2,6,1,4] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
[4,3,2,6,5,1] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[4,3,5,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,3,5,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,3,5,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,3,5,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,3,5,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,3,5,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,3,6,1,2,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[4,3,6,1,5,2] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[4,3,6,2,1,5] => [5,4,6,2,1,3] => ([(0,5),(1,5),(2,4),(3,4)],6) => 7
[4,3,6,2,5,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[4,3,6,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,3,6,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,1,2,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,1,2,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,1,3,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,1,3,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,1,6,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,1,6,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,2,1,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,2,1,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,2,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,2,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,2,6,1,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,2,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,3,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,3,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,3,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[4,5,3,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[4,5,3,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,3,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,5,6,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,6,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,6,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,6,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,6,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,5,6,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,1,2,3,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[4,6,1,2,5,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,6,1,3,2,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 9
[4,6,1,3,5,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,6,1,5,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,6,1,5,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[4,6,2,1,3,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[4,6,2,1,5,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,2,3,1,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[4,6,2,3,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,2,5,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,2,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,3,1,2,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[4,6,3,1,5,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,3,2,1,5] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => 6
[4,6,3,2,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,3,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,3,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[4,6,5,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,1,2,3,4,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[5,1,2,3,6,4] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[5,1,2,4,3,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
[5,1,2,4,6,3] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[5,1,2,6,3,4] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[5,1,2,6,4,3] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[5,1,3,2,4,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[5,1,3,2,6,4] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[5,1,3,4,2,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[5,1,3,4,6,2] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[5,1,3,6,2,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,3,6,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,4,2,3,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[5,1,4,2,6,3] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[5,1,4,3,2,6] => [5,2,4,3,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
[5,1,4,3,6,2] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[5,1,4,6,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,4,6,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,2,3,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,2,4,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,3,2,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,3,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,4,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,1,6,4,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[5,2,1,3,4,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[5,2,1,3,6,4] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[5,2,1,4,3,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[5,2,1,4,6,3] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[5,2,1,6,3,4] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[5,2,1,6,4,3] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[5,2,3,1,4,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,2,3,1,6,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,2,3,4,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,2,3,4,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,2,3,6,1,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,2,3,6,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,2,4,1,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,2,4,1,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,2,4,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,2,4,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,2,4,6,1,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,2,4,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,2,6,1,3,4] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[5,2,6,1,4,3] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[5,2,6,3,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,2,6,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,2,6,4,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,2,6,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,1,2,4,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,1,2,6,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,1,4,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,1,4,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,1,6,2,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,1,6,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,2,1,4,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,2,1,6,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,2,4,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,2,4,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,2,6,1,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,2,6,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,4,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,4,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,4,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,3,4,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,3,4,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,4,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,3,6,1,2,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,6,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,6,2,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,6,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,6,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,3,6,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,1,2,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,1,2,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,1,3,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,1,3,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,1,6,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,1,6,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,2,1,3,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,2,1,6,3] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,2,3,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,2,3,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,2,6,1,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,2,6,3,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,3,1,2,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,3,1,6,2] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
[5,4,3,2,6,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[5,4,3,6,1,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,3,6,2,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,4,6,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,6,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,6,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,6,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,6,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,4,6,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,1,2,3,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,1,2,4,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,1,3,2,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,1,3,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,1,4,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,1,4,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[5,6,2,1,3,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,2,1,4,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,2,3,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,2,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,2,4,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,2,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,1,2,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,2,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,3,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[5,6,4,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,1,2,3,4,5] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[6,1,2,3,5,4] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6) => 2
[6,1,2,4,3,5] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[6,1,2,4,5,3] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[6,1,2,5,3,4] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[6,1,2,5,4,3] => [6,2,3,5,4,1] => ([(2,3),(3,4),(3,5)],6) => 8
[6,1,3,2,4,5] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[6,1,3,2,5,4] => [6,2,4,3,5,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 8
[6,1,3,4,2,5] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,3,4,5,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,3,5,2,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,3,5,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,2,3,5] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,2,5,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,3,2,5] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,3,5,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,5,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,4,5,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,2,3,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,2,4,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,3,2,4] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,3,4,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,4,2,3] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,1,5,4,3,2] => [6,2,5,4,3,1] => ([(2,3),(2,4),(2,5)],6) => 14
[6,2,1,3,4,5] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[6,2,1,3,5,4] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6) => 8
[6,2,1,4,3,5] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[6,2,1,4,5,3] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[6,2,1,5,3,4] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[6,2,1,5,4,3] => [6,3,2,5,4,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 10
[6,2,3,1,4,5] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,2,3,1,5,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,2,3,4,1,5] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,2,3,4,5,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,2,3,5,1,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,2,3,5,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,2,4,1,3,5] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[6,2,4,1,5,3] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[6,2,4,3,1,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,4,3,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,4,5,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,4,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,5,1,3,4] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[6,2,5,1,4,3] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => 6
[6,2,5,3,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,5,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,5,4,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,2,5,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,1,2,4,5] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,3,1,2,5,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,3,1,4,2,5] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,1,4,5,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,1,5,2,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,1,5,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,2,1,4,5] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,3,2,1,5,4] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6) => 14
[6,3,2,4,1,5] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,2,4,5,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,2,5,1,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,2,5,4,1] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,3,4,1,2,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,4,1,5,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,4,2,1,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,4,2,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,4,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,4,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,1,2,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,2,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,3,5,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,1,2,3,5] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,1,2,5,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,1,3,2,5] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,1,3,5,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,1,5,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,1,5,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,4,2,1,3,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,2,1,5,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,2,3,1,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,2,3,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,2,5,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,2,5,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,1,2,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,1,5,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,2,1,5] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,2,5,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,5,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,3,5,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,4,5,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,1,2,3,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,1,2,4,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,1,3,2,4] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,1,3,4,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,1,4,2,3] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,1,4,3,2] => [6,5,3,4,2,1] => ([(4,5)],6) => 8
[6,5,2,1,3,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,2,1,4,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,2,3,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,2,3,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,2,4,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,2,4,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,1,2,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,1,4,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,2,1,4] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,2,4,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,4,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,3,4,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,1,2,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,1,3,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,2,1,3] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,2,3,1] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,3,1,2] => [6,5,4,3,2,1] => ([],6) => 32
[6,5,4,3,2,1] => [6,5,4,3,2,1] => ([],6) => 32
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 4
[1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 4
[1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 4
[1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
[1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 3
[1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
[1,2,3,6,5,7,4] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
[1,2,3,6,7,4,5] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,7,4,5,6] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
[1,2,3,7,4,6,5] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
[1,2,3,7,5,4,6] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,7,5,6,4] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,7,6,4,5] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
[1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,4,5,7,6,3] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,4,6,7,3,5] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
[1,2,4,6,7,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,4,7,5,3,6] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
[1,2,4,7,5,6,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,4,7,6,3,5] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
[1,2,4,7,6,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,3,6,7,4] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,5,3,7,6,4] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,5,4,6,7,3] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,5,4,7,6,3] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,5,6,7,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,6,7,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,7,3,4,6] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
[1,2,5,7,3,6,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,7,4,3,6] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
[1,2,5,7,4,6,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,7,6,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,5,7,6,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,3,4,7,5] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,6,3,5,7,4] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,6,3,7,4,5] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,6,3,7,5,4] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,6,4,7,3,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,4,7,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,5,7,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,5,7,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,3,4,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,3,5,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,4,3,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,4,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,5,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,6,7,5,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,3,4,5,6] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,7,3,4,6,5] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
[1,2,7,3,5,4,6] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,7,3,5,6,4] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,7,3,6,4,5] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,7,3,6,5,4] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
[1,2,7,4,5,3,6] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,4,5,6,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,4,6,3,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,4,6,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,3,4,6] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,3,6,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,4,3,6] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,4,6,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,6,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,5,6,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,3,4,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,3,5,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,4,3,5] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,4,5,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,5,3,4] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
[1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,3,4,5,7,6,2] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,3,4,6,7,5,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,3,4,7,5,6,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,3,4,7,6,5,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,3,5,6,7,2,4] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,3,5,6,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,3,5,7,2,4,6] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 4
[1,3,5,7,2,6,4] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,5,7,4,6,2] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,5,7,6,2,4] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,5,7,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,6,4,7,2,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,3,6,4,7,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,3,6,5,7,2,4] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,3,6,5,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,3,6,7,2,4,5] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,6,7,2,5,4] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,6,7,4,2,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,6,7,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,6,7,5,2,4] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,6,7,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,7,4,5,2,6] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,3,7,4,5,6,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,3,7,4,6,2,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,3,7,4,6,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,3,7,5,2,4,6] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,7,5,2,6,4] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,7,5,4,2,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,7,5,4,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,7,5,6,2,4] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,7,5,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,7,6,2,4,5] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,7,6,2,5,4] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
[1,3,7,6,4,2,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,7,6,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,3,7,6,5,2,4] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,3,7,6,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,2,5,6,7,3] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,4,2,5,7,6,3] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,4,2,6,7,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,2,7,5,6,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,2,7,6,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,3,5,6,7,2] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,4,3,5,7,6,2] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,4,3,6,7,5,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,3,7,5,6,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,3,7,6,5,2] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,4,5,6,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,5,6,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,5,7,2,6,3] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,5,7,3,6,2] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,5,7,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,5,7,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,6,2,7,3,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,6,2,7,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,6,3,7,2,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,6,3,7,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,6,5,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,6,5,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,6,7,2,3,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,6,7,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,6,7,3,2,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,6,7,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,6,7,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,6,7,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,2,5,3,6] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,7,2,5,6,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,7,2,6,3,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,7,2,6,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,7,3,5,2,6] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,7,3,5,6,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,7,3,6,2,5] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,4,7,3,6,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,4,7,5,2,3,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,7,5,2,6,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,5,3,2,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,7,5,3,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,5,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,5,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,6,2,3,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,7,6,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,6,3,2,5] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,4,7,6,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,6,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,4,7,6,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,2,3,6,7,4] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,5,2,3,7,6,4] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,5,2,4,6,7,3] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,5,2,4,7,6,3] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,5,2,6,7,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,2,6,7,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,2,7,3,6,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,2,7,4,6,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,2,7,6,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,2,7,6,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,5,3,6,7,2,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,3,6,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,3,7,2,6,4] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,3,7,4,6,2] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,3,7,6,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,3,7,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,4,6,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,4,6,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,4,7,2,6,3] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,4,7,3,6,2] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,4,7,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,4,7,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,2,7,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,2,7,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,3,7,2,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,3,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,4,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,4,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,7,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,7,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,7,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,7,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,6,7,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,2,3,4,6] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,5,7,2,3,6,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,7,2,4,3,6] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
[1,5,7,2,4,6,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,7,2,6,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,7,2,6,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,5,7,3,2,4,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,7,3,2,6,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,3,4,2,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,7,3,4,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,3,6,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,3,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,4,2,3,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,7,4,2,6,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,4,3,2,6] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,5,7,4,3,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,4,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,4,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,5,7,6,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,2,3,4,7,5] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,6,2,3,5,7,4] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,6,2,3,7,4,5] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,6,2,3,7,5,4] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,6,2,4,7,3,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,4,7,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,5,7,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,5,7,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,3,4,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,3,5,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,4,3,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,4,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,5,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,2,7,5,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,6,3,4,7,2,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,3,4,7,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,3,5,7,2,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,3,5,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,3,7,2,4,5] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,6,3,7,2,5,4] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,6,3,7,4,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,3,7,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,3,7,5,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,3,7,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,2,7,3,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,2,7,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,3,7,2,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,3,7,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,5,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,5,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,4,7,2,3,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,7,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,7,3,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,7,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,7,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,4,7,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,2,7,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,2,7,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,3,7,2,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,3,7,4,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,4,7,2,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,4,7,3,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,5,7,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,7,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,7,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,7,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,7,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,5,7,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,2,3,4,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,2,3,5,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,2,4,3,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,2,4,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,2,5,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,2,5,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,6,7,3,2,4,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,3,2,5,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,3,4,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,3,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,3,5,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,3,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,2,3,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,3,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,4,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,6,7,5,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,2,3,4,5,6] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,7,2,3,4,6,5] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
[1,7,2,3,5,4,6] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,7,2,3,5,6,4] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,7,2,3,6,4,5] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,7,2,3,6,5,4] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
[1,7,2,4,5,3,6] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,4,5,6,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,4,6,3,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,4,6,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,3,4,6] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,3,6,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,4,3,6] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,4,6,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,6,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,5,6,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,3,4,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,3,5,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,4,3,5] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,4,5,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,5,3,4] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,2,6,5,4,3] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
[1,7,3,4,5,2,6] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,3,4,5,6,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,3,4,6,2,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,3,4,6,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,3,5,2,4,6] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,7,3,5,2,6,4] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,7,3,5,4,2,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,5,4,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,5,6,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,5,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,6,2,4,5] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,7,3,6,2,5,4] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
[1,7,3,6,4,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,6,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,6,5,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,3,6,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,2,5,3,6] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,2,5,6,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,2,6,3,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,2,6,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,3,5,2,6] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,3,5,6,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,3,6,2,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,3,6,5,2] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,4,5,2,3,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,5,2,6,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,5,3,2,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,5,3,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,5,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,5,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,2,3,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,3,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,4,6,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,2,3,4,6] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,2,3,6,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,2,4,3,6] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,2,4,6,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,2,6,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,2,6,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,5,3,2,4,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,3,2,6,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,3,4,2,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,3,4,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,3,6,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,3,6,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,2,3,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,2,6,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,3,2,6] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,3,6,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,6,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,4,6,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,5,6,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,2,3,4,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,2,3,5,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,2,4,3,5] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,2,4,5,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,2,5,3,4] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,2,5,4,3] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
[1,7,6,3,2,4,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,3,2,5,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,3,4,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,3,4,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,3,5,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,3,5,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,2,3,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,2,5,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,3,2,5] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,3,5,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,5,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,4,5,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,2,3,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,2,4,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,3,2,4] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,3,4,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,4,2,3] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 4
[2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
[2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[2,4,1,3,5,6,7] => [3,4,1,2,5,6,7] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 3
[2,4,3,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[2,4,3,5,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[2,4,3,5,6,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[2,4,5,1,3,6,7] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[2,4,5,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[2,4,5,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[2,4,5,6,1,3,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[2,4,5,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[2,4,6,1,3,5,7] => [4,5,6,1,2,3,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 4
[2,4,6,3,1,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[2,4,6,3,5,1,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,4,6,5,1,3,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,4,6,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,5,3,1,4,6,7] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[2,5,3,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[2,5,3,4,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[2,5,3,6,1,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[2,5,3,6,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[2,5,4,1,3,6,7] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[2,5,4,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[2,5,4,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[2,5,4,6,1,3,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[2,5,4,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[2,5,6,3,1,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,5,6,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,5,6,4,1,3,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,5,6,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,6,3,4,1,5,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[2,6,3,4,5,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[2,6,3,5,1,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[2,6,3,5,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[2,6,4,3,1,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,6,4,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,6,4,5,1,3,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,6,4,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,6,5,3,1,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,6,5,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[2,6,5,4,1,3,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[2,6,5,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,1,2,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 4
[3,1,4,2,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
[3,1,4,5,2,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[3,1,4,5,6,2,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 4
[3,2,4,1,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
[3,2,4,5,1,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[3,2,4,5,6,1,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[3,4,1,5,2,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[3,4,1,5,6,2,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[3,4,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[3,4,2,5,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[3,4,2,5,6,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[3,4,5,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,4,5,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,4,5,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,4,5,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,4,5,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,4,5,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,4,6,1,2,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[3,4,6,1,5,2,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,4,6,2,1,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[3,4,6,2,5,1,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,4,6,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,4,6,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,5,1,2,4,6,7] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[3,5,1,4,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,5,1,4,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,5,1,6,2,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,5,1,6,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,5,2,1,4,6,7] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
[3,5,2,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,5,2,4,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,5,2,6,1,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,5,2,6,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,5,4,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,5,4,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,5,4,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[3,5,4,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[3,5,4,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,5,4,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,5,6,1,2,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,5,6,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,5,6,2,1,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,5,6,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,5,6,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,5,6,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,1,4,2,5,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,6,1,4,5,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,6,1,5,2,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,6,1,5,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,6,2,4,1,5,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,6,2,4,5,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,6,2,5,1,4,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[3,6,2,5,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[3,6,4,1,2,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,6,4,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,4,2,1,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,6,4,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,4,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,4,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,5,1,2,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,6,5,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,5,2,1,4,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[3,6,5,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,5,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[3,6,5,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,1,2,3,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
[4,1,2,5,3,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[4,1,2,5,6,3,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[4,1,3,2,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
[4,1,3,5,2,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[4,1,3,5,6,2,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[4,2,1,3,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[4,2,1,5,3,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[4,2,1,5,6,3,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[4,2,3,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[4,2,3,5,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[4,2,3,5,6,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[4,2,5,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,2,5,1,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,2,5,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,2,5,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,2,5,6,1,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,2,5,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,2,6,1,3,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[4,2,6,1,5,3,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,2,6,3,1,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[4,2,6,3,5,1,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,2,6,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,2,6,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,3,1,2,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[4,3,1,5,2,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[4,3,1,5,6,2,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
[4,3,2,5,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[4,3,2,5,6,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[4,3,5,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,3,5,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,3,5,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,3,5,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,3,5,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,3,5,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,3,6,1,2,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[4,3,6,1,5,2,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,3,6,2,1,5,7] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
[4,3,6,2,5,1,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,3,6,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,3,6,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,1,2,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,1,2,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,1,3,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,1,3,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,1,6,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,1,6,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,2,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,2,1,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,2,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,2,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,2,6,1,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,2,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,3,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,3,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[4,5,3,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[4,5,3,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,3,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,6,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,6,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,6,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,6,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,5,6,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,1,2,3,5,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[4,6,1,2,5,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,6,1,3,2,5,7] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
[4,6,1,3,5,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,6,1,5,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,6,1,5,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[4,6,2,1,3,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,6,2,1,5,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,2,3,1,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,6,2,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,2,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,2,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,3,1,2,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,6,3,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,3,2,1,5,7] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[4,6,3,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,3,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,3,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[4,6,5,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,1,2,3,4,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[5,1,2,3,6,4,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[5,1,2,4,3,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
[5,1,2,4,6,3,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[5,2,1,3,4,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[5,2,1,3,6,4,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[5,2,1,4,3,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
[5,2,1,4,6,3,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[5,2,3,1,4,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,2,3,1,6,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,2,3,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,2,3,4,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,2,3,6,1,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,2,3,6,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,2,4,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,2,4,1,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,2,4,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,2,4,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,2,4,6,1,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,2,4,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,2,6,1,3,4,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[5,2,6,1,4,3,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[5,2,6,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,2,6,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,2,6,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,2,6,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,1,2,4,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,1,2,6,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,1,4,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,1,4,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,1,6,2,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,1,6,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,2,1,4,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,2,1,6,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,2,4,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,2,4,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,2,6,1,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,2,6,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,4,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,4,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,4,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,3,4,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,3,4,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,4,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,3,6,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,6,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,6,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,6,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,6,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,3,6,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,1,2,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,1,2,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,1,3,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,1,3,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,1,6,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,1,6,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,2,1,3,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,2,1,6,3,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,2,3,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,2,3,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,2,6,1,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,2,6,3,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,3,1,2,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,3,1,6,2,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
[5,4,3,2,6,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[5,4,3,6,1,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,3,6,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,4,6,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,6,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,6,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,6,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,6,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,4,6,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,1,2,3,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,1,2,4,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,1,3,2,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,1,3,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,1,4,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,1,4,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[5,6,2,1,3,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,2,1,4,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,2,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,2,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,2,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,2,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,3,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[5,6,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,1,2,3,4,5,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[6,1,2,3,5,4,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
[6,2,1,3,4,5,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[6,2,1,3,5,4,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
[6,2,3,1,4,5,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,2,3,1,5,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,2,3,4,1,5,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,2,3,4,5,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,2,3,5,1,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,2,3,5,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,2,4,1,3,5,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[6,2,4,1,5,3,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[6,2,4,3,1,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,4,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,4,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,4,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,5,1,3,4,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[6,2,5,1,4,3,7] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
[6,2,5,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,5,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,5,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,2,5,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,1,2,4,5,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,3,1,2,5,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,3,1,4,2,5,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,1,4,5,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,1,5,2,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,1,5,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,2,1,4,5,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,3,2,1,5,4,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
[6,3,2,4,1,5,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,2,4,5,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,2,5,1,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,2,5,4,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,3,4,1,2,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,4,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,4,2,1,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,4,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,4,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,4,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,3,5,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,1,2,3,5,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,1,2,5,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,1,3,2,5,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,1,3,5,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,1,5,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,1,5,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,4,2,1,3,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,2,1,5,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,2,3,1,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,2,3,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,2,5,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,2,5,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,1,2,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,1,5,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,2,1,5,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,2,5,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,5,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,3,5,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,4,5,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,1,2,3,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,1,2,4,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,1,3,2,4,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,1,3,4,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,1,4,2,3,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,1,4,3,2,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
[6,5,2,1,3,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,2,1,4,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,2,3,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,2,3,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,2,4,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,2,4,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,1,2,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,1,4,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,2,1,4,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,2,4,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,4,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,3,4,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,1,2,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,1,3,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,2,1,3,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,2,3,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,3,1,2,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
[8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,2,5,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,3,5,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,2,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,1,2,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,1,3,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,1,3,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,6,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,2,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,3,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,3,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,2,5,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,3,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,1,2,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,1,2,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,1,3,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,1,3,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,2,1,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,2,1,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,3,1,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,1,2,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,1,2,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,1,3,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,3,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,4,3,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,6,3,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,5,4,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,6,5,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,7,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,6,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,4,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,5,6,4,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,4,6,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,2,8,7,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,3,2,7,8,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,3,2,6,8,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,4,2,8,7,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,4,2,7,8,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,3,8,7,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,3,6,8,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,5,4,3,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,5,3,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,4,6,3,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,5,6,3,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,6,5,4,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,5,6,4,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,3,6,5,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,5,4,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,4,6,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,3,2,6,5,8,7,1] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[3,4,2,6,5,8,7,1] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[2,4,3,6,5,8,7,1] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,8,6,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,8,7,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,6,8,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,7,8,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,5,8,7,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,5,7,8,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,5,8,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,5,6,8,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,4,8,7,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,4,7,8,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,4,6,8,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,5,4,8,7,3] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[2,1,5,6,4,8,7,3] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[2,1,4,6,5,8,7,3] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,2,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,2,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,2,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,2,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,4,3,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,4,3,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,4,3,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[2,1,4,3,7,8,6,5] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[2,1,4,3,6,8,7,5] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,5,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,4,6,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,5,6,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,6,5,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,5,6,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,3,6,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,4,6,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,6,5,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,5,6,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,4,6,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,3,2,6,5,1,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[3,4,2,6,5,1,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[2,4,3,6,5,1,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[2,1,5,6,4,3,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[2,1,4,6,5,3,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[3,4,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[2,4,3,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 5
[2,1,4,3,8,6,7,5] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[2,1,4,8,6,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,4,8,6,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,4,5,3,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[2,1,6,4,5,8,7,3] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[2,1,8,4,6,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,4,6,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,4,7,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,5,6,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,5,6,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,5,7,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,6,5,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,6,5,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,7,5,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,4,3,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,4,3,8,6,5,7,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,3,8,6,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,6,4,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,6,4,3,5,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,8,4,3,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,4,3,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,4,3,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,4,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,6,4,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,8,4,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[4,2,3,1,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,2,3,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,2,3,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,2,3,6,5,1,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[4,2,3,6,5,8,7,1] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[4,2,3,8,6,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,3,8,7,6,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,4,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,2,4,3,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,4,3,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,4,3,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,4,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,2,4,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,2,4,7,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,2,6,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,5,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,2,8,6,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,4,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,3,4,2,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,3,4,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,3,4,5,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,3,4,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,3,5,4,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,3,6,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,3,2,5,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,2,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,3,2,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,3,2,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,3,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,4,3,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,7,3,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,1,3,6,5,8,7] => [3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 5
[2,1,4,6,3,5,8,7] => [2,1,5,6,3,4,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 5
[2,4,1,6,3,5,8,7] => [3,5,1,6,2,4,8,7] => ([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 3
[2,4,6,1,3,5,8,7] => [4,5,6,1,2,3,8,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 5
[2,1,4,3,6,8,5,7] => [2,1,4,3,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 5
[2,4,1,3,6,8,5,7] => [3,4,1,2,7,8,5,6] => ([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 5
[2,1,4,6,3,8,5,7] => [2,1,5,7,3,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 3
[2,4,1,6,3,8,5,7] => [3,5,1,7,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 3
[2,4,6,1,3,8,5,7] => [4,5,7,1,2,8,3,6] => ([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 3
[2,1,4,6,8,3,5,7] => [2,1,6,7,8,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 5
[2,4,1,6,8,3,5,7] => [3,6,1,7,8,2,4,5] => ([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 3
[2,4,6,1,8,3,5,7] => [4,6,7,1,8,2,3,5] => ([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 3
[2,4,6,8,1,3,5,7] => [5,6,7,8,1,2,3,4] => ([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 5
[2,1,4,3,7,8,5,6] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[2,4,1,3,7,8,5,6] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,4,1,7,3,8,5,6] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[2,4,7,1,3,8,5,6] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,1,4,7,8,3,5,6] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
[2,4,1,7,8,3,5,6] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[2,4,7,1,8,3,5,6] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[2,4,7,8,1,3,5,6] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[2,1,5,6,3,4,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[2,5,1,6,3,4,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,5,6,1,3,4,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[2,5,1,6,3,8,4,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,5,6,1,3,8,4,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,5,6,8,3,4,7] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
[2,5,1,6,8,3,4,7] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
[2,5,6,8,1,3,4,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[2,1,5,7,8,3,4,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,5,1,7,8,3,4,6] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[2,5,7,1,8,3,4,6] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[2,5,7,8,1,3,4,6] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,1,6,7,8,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,6,1,7,8,3,4,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,7,1,8,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,7,8,1,3,4,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,4,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[3,4,1,6,2,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[3,4,6,1,2,5,8,7] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
[3,4,1,2,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[3,4,1,6,2,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[3,4,1,6,8,2,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[3,4,6,8,1,2,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[3,4,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,7,1,8,2,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,7,8,1,2,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,5,6,1,2,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,5,6,1,2,8,4,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[3,5,6,1,8,2,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[3,5,6,8,1,2,4,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[3,5,7,8,1,2,4,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[3,6,7,8,1,2,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,5,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,5,6,1,2,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,5,6,1,8,2,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,5,6,8,1,2,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,5,7,8,1,2,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,7,8,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,5,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,4,6,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,5,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,4,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,6,4,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,7,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,6,8,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,7,6,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,1,2,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[8,4,7,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,7,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,8,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,6,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,7,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,8,1,3,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[4,3,6,8,1,2,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[5,2,6,8,1,3,4,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,2,4,8,1,3,5,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,3,4,8,1,2,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,2,5,8,1,3,4,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,3,5,8,1,2,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,5,8,1,2,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,3,7,8,1,2,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[5,3,7,8,1,2,4,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,4,7,8,1,2,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,7,8,1,3,4,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,7,8,1,2,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,7,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,8,1,3,5,6] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[7,3,4,8,1,2,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,5,8,1,2,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,5,8,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,6,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,6,1,3,5,7] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,3,4,6,1,2,5,7] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,5,6,1,3,4,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,3,5,6,1,2,4,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,4,7,1,3,5,6] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,2,5,7,1,3,4,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,3,5,7,1,2,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,7,1,3,4,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,6,7,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,1,3,5,7] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,8,3,6,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,4,6,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,2,4,1,3,5,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,8,3,4,1,2,5,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,3,5,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,4,5,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,1,3,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,8,3,7,1,2,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,8,2,7,1,3,4,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,3,7,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,4,7,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,2,7,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,3,7,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,1,3,5,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,5,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,3,5,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,1,3,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,3,8,1,2,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,2,8,1,3,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,3,8,1,2,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,4,8,1,2,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,4,2,8,1,3,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,3,8,1,2,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,3,8,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,6,4,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,1,3,5,7] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,3,6,1,2,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,1,3,5,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,6,2,5,1,3,4,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,4,2,7,1,3,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,3,7,1,2,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,2,7,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,3,7,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,1,3,5,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,5,1,3,4,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,5,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,6,2,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,8,3,6,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,6,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,6,8,1,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[6,4,3,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,5,2,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,3,2,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[8,4,2,6,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,2,6,1,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,4,8,2,5,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,8,3,5,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,2,4,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,3,4,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,3,8,2,7,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,4,8,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,5,4,2,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,5,4,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,6,4,2,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,3,7,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,2,7,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,4,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,4,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,5,3,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,3,7,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,3,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,6,4,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,1,8,3,7,5,6] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[2,6,1,5,3,8,4,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,4,1,8,6,3,5,7] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[2,4,1,8,7,3,5,6] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[2,8,1,5,6,3,4,7] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,1,5,7,3,4,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,1,7,6,3,4,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,4,1,8,6,7,3,5] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[2,8,1,5,6,7,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,3,1,6,2,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[4,3,1,8,2,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,3,1,8,6,2,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,3,1,8,7,2,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,3,1,8,6,7,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,6,4,1,3,8,5,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,8,4,1,3,7,5,6] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[2,6,5,1,3,8,4,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,8,4,1,6,3,5,7] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[2,8,4,1,7,3,5,6] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[2,8,5,1,6,3,4,7] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,5,1,7,3,4,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,8,1,6,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,4,1,6,7,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,5,1,6,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,3,4,1,2,8,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,3,4,1,2,7,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,3,5,1,2,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,5,4,1,2,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,3,4,1,6,2,5,7] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,3,4,1,7,2,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,3,4,1,6,7,2,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,4,6,1,3,5,7] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,7,4,8,1,3,5,6] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,8,6,5,1,3,4,7] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,7,8,5,1,3,4,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,7,8,6,1,3,4,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,4,5,1,8,3,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[2,8,4,6,1,7,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,6,5,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,3,6,5,1,2,4,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,8,5,1,2,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,8,6,1,2,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,4,5,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,3,4,6,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,6,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,6,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,7,5,6,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,3,4,7,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,5,6,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,5,6,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,5,6,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,7,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,7,8,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,7,8,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,7,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,1,2,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,1,6,7,8,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,7,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,7,8,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,7,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,7,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,5,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,4,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,2,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,1,2,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[6,4,5,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,4,6,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,1,6,5,3,4,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[4,6,5,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,4,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,4,1,2,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,8,6,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,7,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,6,8,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,7,6,8,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,2,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,1,4,3,8,7,5,6] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[3,4,1,2,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,1,6,8,7,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,8,7,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,6,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,7,6,3,4,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,7,6,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,1,2,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,5,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,4,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,1,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[4,3,2,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[6,5,7,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[7,8,5,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,7,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,1,3,8,7,6,5] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,2,1,3,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,1,2,8,7,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[6,5,8,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,1,4,3,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[5,2,6,1,4,3,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,2,8,1,4,3,7,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,4,3,7,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,5,3,7,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,8,1,5,3,7,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,1,8,4,7,3,6,5] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,7,4,8,3,6,5] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[3,4,2,6,8,1,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[5,3,6,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,3,6,2,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,7,3,8,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,3,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,1,3,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,5,6,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,5,6,3,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,7,4,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,1,4,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,1,8,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,8,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,7,8,2,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,4,7,8,2,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,7,3,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,7,8,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,7,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,1,4,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,1,3,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,6,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,2,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,2,4,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,6,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,1,5,3,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,7,2,1,4,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,1,3,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,2,8,1,3,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,6,2,8,3,1,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[5,6,8,2,3,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,3,2,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,1,5,2,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,2,1,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,3,1,2,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,4,3,1,8,2,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,4,3,1,7,6,2,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,1,3,8,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,7,2,1,8,3,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,8,2,1,7,6,3,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[8,6,3,5,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,6,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,1,4,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,1,8,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,6,1,4,7,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,7,6,8,1,4,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,6,8,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,8,7,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,7,2,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,8,6,2,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,6,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,6,8,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,1,3,5,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,6,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,5,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,2,5,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,6,1,3,5,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,6,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,3,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,5,3,7,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,4,5,3,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[5,6,3,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,3,7,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,1,6,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,7,8,4,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,8,7,5,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,8,5,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,6,3,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,4,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,4,8,3,6,7,5] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
[6,4,3,8,2,1,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,8,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,5,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,7,3,8,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,4,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,4,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,4,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,3,6,2,1,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,5,3,8,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,3,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,8,7,4,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,3,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,3,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,3,8,1,2,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,7,8,4,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,6,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,3,5,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,3,6,2,8,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,5,8,4,1,3,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,5,7,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,8,7,1,4,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,7,1,8,6,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,3,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,8,7,4,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,6,3,8,7,4,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,4,8,6,3,7,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,7,8,2,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[7,8,3,6,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,8,1,7,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,3,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,7,1,8,6,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,8,2,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,1,8,5,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,4,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,3,1,5,7] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,5,2,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,2,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,6,3,1,5,7] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,8,7,2,1,3,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,8,2,3,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,7,2,1,3,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,3,1,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,2,1,3,8,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,4,2,1,8,3,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,4,2,1,7,3,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,2,1,3,8,5,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[4,7,2,1,8,3,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,8,2,1,7,3,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,3,5,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,3,7,5,2,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,2,7,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,5,4,3,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[6,4,3,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,4,7,8,5,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,8,5,7,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,6,3,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,2,8,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,8,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,3,7,6,5] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
[7,4,3,8,2,1,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,7,2,3,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,7,8,5,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,6,7,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,3,8,7,4,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,7,2,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[7,3,5,8,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,1,8,7,2,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,2,8,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,4,7,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,3,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,5,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,4,2,1,5,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,5,2,1,4,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,5,2,7,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,3,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,1,8,7,4,3,6,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,3,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,1,2,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,7,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,1,6,3,7,5] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[6,8,3,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,4,1,8,7,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,4,2,1,7,5,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,1,8,6,7,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,6,2,5,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,2,1,8,7,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,5,2,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,4,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,7,2,8,1,5,3,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,7,2,1,4,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,8,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,5,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,5,3,8,4,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,5,8,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,1,7,2,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,3,8,4,2,5,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,2,5,1,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,4,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,4,1,6,5,3,7] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,4,1,6,5,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,7,6,1,4,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,5,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,1,4,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,5,6,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,2,8,3,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,2,8,3,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,5,8,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,1,3,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,5,6,2,1,8,7,4] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,5,2,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,2,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,2,4,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,2,4,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,2,8,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,2,4,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,5,6,2,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,6,5,2,8,1,7,4] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[7,8,5,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,6,5,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,1,7,2,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,8,3,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,5,3,4,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,2,6,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,5,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,4,2,1,5,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,3,8,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,5,3,1,4,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,3,4,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,4,1,8,3,7,5] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[6,7,5,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,8,1,6,3,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,1,8,7,6,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,8,6,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,5,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,8,7,1,6,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,7,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,5,1,2,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,6,4,5,3,7] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,7,5,1,4,3,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,6,7,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,6,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,3,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,1,2,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,5,7,1,3,4,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,8,6,2,7,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,3,8,5,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,8,1,3,4,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[3,6,5,8,1,2,4,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[8,4,6,3,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,7,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,1,3,5,6] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[4,3,8,7,1,2,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[5,3,8,7,1,2,4,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,3,7,6,1,2,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,7,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,1,2,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,8,7,1,2,4,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,5,8,7,1,3,4,6] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[4,6,8,2,7,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,8,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,1,3,4,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,8,7,6,1,2,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,6,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,3,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,5,3,8,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,5,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,7,3,8,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,5,3,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,3,8,1,5,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,8,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,1,2,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,6,5,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,1,7,3,4,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,2,1,8,3,4,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,2,3,1,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,2,6,5,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,4,8,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,1,7,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,8,3,7,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,2,6,1,8,3,4,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,7,3,4,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,4,6,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,4,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,3,4,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,3,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,1,3,4,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,7,6,1,3,4,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,4,8,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,2,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,3,1,2,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,5,8,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,2,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,3,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,4,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,3,1,2,8,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,4,3,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,4,8,3,2,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,8,3,2,1,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,1,2,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,2,1,3,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,8,2,7,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,3,7,8,2,1,4,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,7,8,4,3,5,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,3,7,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,1,8,7,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,7,2,8,1,3,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,3,8,6,1,2,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,4,7,1,8,2,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,6,3,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,3,8,5,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,8,3,4,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,3,4,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,3,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,4,2,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,2,4,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,5,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,2,8,5,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,8,2,4,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,4,2,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,4,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,1,6,3,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,2,8,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,3,1,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,6,8,3,2,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,8,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,3,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,8,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,8,2,1,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,6,3,8,2,1,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[4,7,3,8,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,3,8,1,2,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,7,3,8,1,2,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,7,8,3,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,8,3,2,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,2,1,4,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,1,6,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,5,4,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,6,5,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,1,3,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,5,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,4,2,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,5,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,1,8,7,6,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,3,6,4,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,3,6,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,3,5,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,1,5,8,4,7,3] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,6,8,4,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,8,6,7,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,8,6,1,7,3,5] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[4,6,3,2,8,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,7,3,2,8,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,7,4,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,6,4,8,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,2,1,6,8,7,3,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,3,6,1,8,7,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,4,6,8,1,7,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,5,6,8,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,5,8,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,5,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,7,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,1,6,5,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,1,7,8,6,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,8,7,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,5,8,7,6,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,7,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,4,1,7,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,3,1,7,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,4,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,1,6,7,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,4,1,6,7,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,8,2,6,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,5,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,5,7,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,5,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,5,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,5,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,1,8,3,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,7,8,2,3,1,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,3,2,1,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,4,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,3,8,1,2,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,7,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,1,8,6,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,8,2,7,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,8,1,7,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,7,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,1,7,3,5,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,7,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,6,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,8,1,7,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,5,7,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,4,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,4,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,4,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,7,6,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,6,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,7,6,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,7,4,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,6,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,7,6,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,1,8,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,6,2,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,4,3,1,8,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,2,1,8,7,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,1,2,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[6,2,1,5,8,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,4,1,8,5,7,3] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[6,2,5,1,8,4,7,3] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[6,2,1,4,8,7,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,1,3,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[8,6,7,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,3,4,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,2,6,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,2,8,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,5,7,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,2,8,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,5,6,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,4,8,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,3,8,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,6,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,3,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,6,2,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,7,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,4,5,3,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,7,1,8,5,3,4,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,7,6,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,1,6,3,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,2,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,3,7,8,1,2,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[5,7,8,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,1,8,3,7,5] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[7,2,1,4,8,3,5,6] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[6,8,2,4,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,5,1,7,8,3,6,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,1,4,7,8,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,5,7,8,1,4,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,2,1,8,6,3,7,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,8,6,5,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,8,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,4,6,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,6,8,5,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,6,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,1,7,5,8,6,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,4,1,7,8,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,6,4,1,5,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,6,4,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,1,7,8,3,4,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,2,8,3,6,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,4,8,1,7,3,5,6] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[4,8,3,1,7,2,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[5,8,4,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,3,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,5,6,8,2,7,1,4] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,7,3,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,3,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,6,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,3,7,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,4,6,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,7,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,8,7,6,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,8,7,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,1,7,6,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,5,8,7,1,6,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,4,8,7,1,6,3,5] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,8,4,7,1,5,3,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,2,4,6,1,5,3,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,4,1,8,7,6,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,3,1,8,7,6,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,1,8,7,6,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,4,2,6,1,5,3,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,7,1,6,3,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,2,8,7,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,2,8,1,7,6,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,8,2,1,7,5,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,2,7,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,1,8,3,4,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,1,8,7,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,6,2,1,8,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,7,1,8,2,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[8,6,2,1,7,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,1,8,6,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,7,8,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,2,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,5,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,6,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,5,8,2,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,3,5,6,2,1,4,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,6,7,1,3,5,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,3,5,7,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,5,6,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,7,6,8,1,3,5,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,5,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,1,8,5,7,3] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[2,7,6,8,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,6,1,8,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,6,7,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,5,7,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,7,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,6,1,4,3,5,7] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,4,3,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,7,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,2,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,3,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,7,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,5,6,1,8,7,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,5,6,8,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,4,1,6,8,7,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,2,7,8,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,7,2,1,8,5,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,7,2,8,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,8,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,6,5,8,7,3] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[5,2,6,1,4,8,7,3] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[5,2,6,4,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,2,3,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,2,1,3,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,3,1,2,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,3,2,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,7,3,8,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,1,8,3,6,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,7,2,8,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,2,8,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,4,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,1,4,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,2,7,1,8,4,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,1,7,8,5,6,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,7,8,1,5,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,7,8,5,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,1,8,6,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,7,8,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,4,5,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,8,4,7,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,4,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,7,1,8,6,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,3,8,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,4,2,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,3,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,4,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,3,8,7,1,5,6,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,5,2,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,3,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,6,5,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,3,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,5,8,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,1,8,4,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,7,3,5,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,5,4,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,2,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,5,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,2,7,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,7,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,6,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,8,2,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,7,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,8,4,7,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,8,4,7,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,8,5,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,5,7,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,6,7,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,6,7,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,1,8,6,7,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,1,8,5,7,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,8,5,7,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,4,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,8,4,7,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,6,1,8,4,7,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,8,2,5,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,5,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,2,6,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,6,1,7,3,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,7,4,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,3,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,4,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,4,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,4,6,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,4,8,2,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,3,8,2,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,3,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,3,5,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,3,8,2,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,8,3,6,2,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,3,6,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,3,5,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,3,5,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,6,3,8,2,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,3,8,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,7,4,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,4,7,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,4,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,7,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,3,8,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,8,3,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,2,5,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,5,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,4,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,5,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,4,6,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,8,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,7,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,7,8,6,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,6,8,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,4,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,7,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,6,4,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,6,8,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,5,6,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,4,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,2,1,4,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,4,1,2,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,1,2,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[6,3,8,5,2,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,8,6,7,2,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,5,6,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,3,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,7,2,4,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,1,3,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,4,1,3,8,7,5,6] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,2,5,1,7,3,4,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,4,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,1,4,3,5,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,6,3,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,2,6,4,3,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,4,1,3,5,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,3,6,1,2,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,3,4,1,2,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,2,6,5,1,3,4,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,2,8,1,3,4,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,2,8,7,1,3,4,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,8,7,2,1,3,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,2,1,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,8,3,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,6,3,8,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,2,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,6,4,8,2,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,6,4,8,3,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,3,2,1,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,3,2,1,8,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,4,3,2,1,8,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,2,1,7,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,2,1,7,6,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,4,3,2,1,8,6,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,3,2,1,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,3,8,2,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,4,2,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,5,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,2,1,6,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,3,2,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,3,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,5,3,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,5,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,8,3,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,2,8,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,4,6,8,2,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,4,8,6,3,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,4,6,8,2,7,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,4,6,2,8,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,5,6,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,6,8,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,6,1,8,7,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,4,1,6,8,7,3,5] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[3,4,6,1,8,7,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,4,6,8,1,7,5,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,8,6,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,5,8,6,7,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,5,6,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,8,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,3,7,1,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,8,6,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,3,7,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,6,1,8,3,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[5,2,6,1,8,3,7,4] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[5,2,6,1,8,4,7,3] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[7,4,2,3,8,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,6,1,8,5,7,3] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[3,6,8,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,3,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,2,1,8,5,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,4,1,8,5,3,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[4,8,3,2,6,1,5,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,8,3,2,6,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,3,8,2,6,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,3,7,8,2,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,2,1,8,5,3,7,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,6,2,1,8,3,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,4,1,7,3,8,6,5] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[4,8,3,7,2,1,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,3,7,2,8,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,8,3,2,7,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,6,7,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,5,1,3,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,3,5,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,3,7,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,4,7,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,2,7,1,6,3,5,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,7,1,4,3,6,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,7,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,3,1,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,7,2,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,6,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,7,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,7,3,5,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,2,7,1,6,4,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,7,4,6,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,5,7,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,5,7,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,3,6,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,5,8,6,3,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,8,4,5,7,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,4,6,1,5,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,3,7,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,7,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,4,6,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,2,7,8,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,5,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,4,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,8,5,2,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,5,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,1,3,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,3,6,5,1,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[5,6,8,4,1,3,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,5,8,4,2,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,8,2,5,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,8,4,5,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,1,4,3,7,6,5] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[3,6,4,8,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,2,8,1,7,3,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,8,1,7,4,3,6,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,1,7,5,3,4,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,7,4,8,1,6,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,4,8,7,1,6,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,2,8,1,7,6,3,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,8,1,7,6,4,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,8,3,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,2,8,3,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,6,2,8,3,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,2,4,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,2,5,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,6,3,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,2,8,4,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,2,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,5,3,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,3,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,7,3,5,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,3,6,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,3,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,5,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,8,3,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,1,2,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,8,7,4,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,4,5,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,4,1,6,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,3,6,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,2,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,3,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,1,6,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,7,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,7,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,4,2,7,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,1,8,6,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,5,7,8,1,6,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,4,8,7,6,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,7,6,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,7,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,7,8,1,6,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,8,7,1,6,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,1,5,8,3,6,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,5,1,8,3,7,4] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[3,6,5,1,8,2,7,4] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,6,5,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,4,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,5,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,4,6,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,6,1,8,7,2,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,5,6,1,8,2,7,4] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,5,6,1,8,3,7,4] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[2,4,6,1,3,8,7,5] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[3,4,6,1,2,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[4,3,6,1,2,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[5,3,6,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,2,1,5,8,3,6,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,5,1,8,3,7,4] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[4,2,6,1,3,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[6,2,4,1,3,8,7,5] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[7,2,1,4,3,8,6,5] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[6,3,4,1,2,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,3,1,2,8,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[3,6,4,1,2,8,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,6,4,1,3,8,7,5] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[2,7,1,4,3,8,6,5] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[5,6,2,1,8,3,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,2,1,8,3,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,2,1,3,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,4,3,6,1,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[2,4,3,6,5,8,1,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[2,4,6,3,5,8,7,1] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[2,4,6,3,5,8,1,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,4,6,3,5,1,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,4,6,3,1,5,8,7] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,4,1,6,5,3,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,4,6,1,5,3,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[4,2,6,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,2,6,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,2,6,5,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,2,6,5,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,2,6,5,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,2,6,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,4,6,1,5,8,3,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,4,1,6,5,8,3,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,1,4,6,5,8,3,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,4,1,6,5,8,7,3] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[2,4,6,1,5,8,7,3] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[4,2,6,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,2,6,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,4,3,8,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,6,4,3,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,6,8,5,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,6,8,1,5,7,3] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,4,6,1,8,5,7,3] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[2,4,1,6,8,5,7,3] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,4,6,8,5,7,3] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,4,6,8,5,3,7] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
[2,4,1,6,8,5,3,7] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
[2,4,6,1,8,5,3,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[2,4,6,8,1,5,3,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[4,2,6,8,5,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,2,6,8,5,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,2,6,8,5,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,6,8,3,5,7,1] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,4,6,8,3,5,1,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[2,4,6,8,3,1,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[2,4,6,3,1,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[2,4,6,3,8,1,5,7] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
[2,4,6,3,8,5,1,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[2,4,6,3,8,5,7,1] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[2,4,3,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[2,4,3,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[2,4,3,6,8,1,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[2,4,3,6,1,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[2,4,3,1,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[2,4,1,3,6,8,7,5] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,4,3,6,1,8,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[2,4,3,6,8,1,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,6,5,2,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,5,2,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,5,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,4,6,3,8,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,4,6,3,1,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,1,6,3,8,7,5] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[2,1,4,6,3,8,7,5] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
[2,1,4,6,8,3,7,5] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
[2,4,1,6,8,3,7,5] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[2,4,6,1,8,3,7,5] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[2,4,6,8,1,3,7,5] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[2,4,6,8,3,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,6,2,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,8,7,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,4,1,8,7,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,1,4,8,7,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,1,6,4,8,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,4,8,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,6,1,4,8,7,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,4,1,8,7,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,4,8,1,7,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,4,2,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,1,7,3,4,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[5,7,2,1,8,3,4,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,3,6,1,5,8,2,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,6,1,4,5,8,3,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[6,4,2,1,5,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,4,8,7,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,2,8,7,1,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,3,8,6,7,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,6,1,7,3,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,2,8,6,1,3,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,2,8,7,1,3,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[5,7,8,3,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,7,8,1,3,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,2,6,8,1,3,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,7,3,8,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,3,7,8,6,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,6,8,1,7,3,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,3,6,8,7,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,6,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,4,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,3,8,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,8,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,5,4,8,7,3] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[4,3,6,1,8,2,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,6,1,5,8,2,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[7,8,2,1,4,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,6,3,8,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,8,4,6,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,4,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,4,5,1,3,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,3,6,2,8,1,5,7] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
[4,3,6,8,1,7,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,2,1,5,8,3,7,4] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[8,5,6,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,4,1,7,8,5,3,6] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[5,6,3,2,1,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,4,3,2,1,5,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,5,8,2,1,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,6,3,2,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,4,3,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,7,8,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,4,1,7,8,3,6,5] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[4,8,7,3,2,1,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,7,3,2,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,3,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,3,5,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,3,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,3,5,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,3,5,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,8,2,6,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,2,7,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,6,7,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,5,7,1,6,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,1,7,5,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,1,7,4,6,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,4,7,1,6,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,8,2,7,1,6,3,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,8,2,7,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,2,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,8,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,1,5,3,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,4,8,5,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,8,2,3,6,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,4,2,8,1,3,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,3,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,5,6,1,2,8,7,4] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[3,4,7,2,8,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,4,6,2,8,1,5,7] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
[5,3,6,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,4,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,4,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,1,4,3,6,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,6,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,5,1,3,7,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,6,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,7,2,8,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,3,8,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,4,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,8,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,8,6,4,1,3,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[7,6,5,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,5,8,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,1,2,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,2,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,7,8,4,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,8,4,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,6,5,8,4,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,8,4,2,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,5,4,3,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,5,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,1,4,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,5,6,3,7,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,8,6,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,8,6,5,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,6,5,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,1,6,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,1,5,7,6,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,2,8,6,1,7,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,5,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,5,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,1,5,3,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,3,6,2,5,1,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,1,8,6,4,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,2,8,3,1,7,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[5,8,7,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,3,6,5,8,7] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
[4,2,6,1,8,5,3,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[7,8,2,1,4,5,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,6,1,5,8,7,2] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[8,5,3,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,1,7,2,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,7,4,1,8,5,2,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,7,1,8,4,5,3,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,4,2,1,7,3,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,4,2,1,8,5,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,3,1,5,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,7,6,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,7,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,8,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,5,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,4,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,6,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,6,3,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[6,2,1,4,3,5,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[6,2,1,4,3,8,5,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[8,2,1,4,3,6,5,7] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[8,2,4,1,3,6,5,7] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[6,2,4,1,3,8,5,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,2,4,1,3,5,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,2,6,1,3,5,8,7] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,1,6,4,3,5,8,7] => [2,1,6,5,4,3,8,7] => ([(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)],8) => 10
[2,6,1,4,3,5,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,6,4,1,3,5,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[4,6,2,1,3,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,4,2,1,3,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,4,2,1,3,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,2,1,6,3,5,7] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,2,1,8,3,5,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,2,1,8,3,5,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[2,6,1,4,3,8,5,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,1,6,4,3,8,5,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,1,8,4,3,6,5,7] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[2,8,1,4,3,6,5,7] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[2,8,4,1,3,6,5,7] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[4,8,2,1,3,6,5,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,2,1,6,3,5,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,8,2,1,4,3,5,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[8,6,2,1,4,3,5,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,1,4,6,3,5,7] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,8,4,6,3,5,7] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,6,4,8,3,5,7] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
[2,6,1,4,8,3,5,7] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
[2,6,4,1,8,3,5,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[2,6,4,8,1,3,5,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[4,6,2,8,1,3,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[4,2,6,1,3,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[4,2,6,1,8,3,5,7] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
[6,2,4,1,8,3,5,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[8,2,4,1,6,3,5,7] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[8,2,1,4,6,3,5,7] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[6,2,1,4,8,3,5,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[4,2,1,6,8,3,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[4,2,1,6,3,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[4,2,1,3,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[2,1,4,3,8,6,5,7] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
[2,4,1,3,8,6,5,7] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,2,1,3,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,2,1,8,3,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,2,1,8,6,3,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,2,1,8,4,3,5,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,2,1,6,4,3,5,7] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,6,1,4,3,5,7] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,8,1,4,3,5,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,2,8,1,6,3,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,2,8,1,3,6,5,7] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,8,1,3,6,5,7] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,4,1,8,3,6,5,7] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[2,1,4,8,3,6,5,7] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
[2,1,4,8,6,3,5,7] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
[2,4,8,1,6,3,5,7] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[2,4,8,6,1,3,5,7] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[4,2,8,6,1,3,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[6,2,8,4,1,3,5,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,2,6,4,1,3,5,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,6,2,1,3,5,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,2,1,3,5,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,8,2,1,3,5,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,6,8,4,1,3,5,7] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,6,8,1,4,3,5,7] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[2,6,1,8,4,3,5,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[2,1,6,8,4,3,5,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,8,6,4,3,5,7] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,8,1,6,4,3,5,7] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,6,4,1,3,5,7] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,8,6,2,1,3,5,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,4,2,1,3,5,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,4,1,5,3,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,3,6,1,5,2,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,3,8,2,6,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,3,8,1,7,2,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,3,7,1,8,5,6,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,3,6,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,3,5,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,1,8,4,6,3,7,5] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[8,2,7,1,5,3,6,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,4,1,7,3,6,5] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[8,2,4,3,6,1,7,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,8,2,4,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,4,1,8,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,6,8,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,5,4,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,1,6,5,8,3,7,4] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,4,6,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,8,4,7,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,7,8,5,3,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,6,8,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,6,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,8,6,7,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,5,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,1,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,5,2,7,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,3,4,7,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,5,7,4,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,8,3,7,1,2,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,8,6,4,1,7,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,5,4,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,6,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,6,8,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,2,4,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,6,2,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,7,8,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,1,8,7,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,3,1,8,7,2,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,7,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,2,1,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,3,2,6,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,1,5,7,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,1,6,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,4,1,8,7,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,4,8,1,3,7,6,5] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,4,8,3,7,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,4,8,3,7,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,8,2,3,7,6,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,8,2,3,7,1,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,2,6,1,8,7,3,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,4,8,7,2,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,4,8,7,1,2,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,4,8,1,7,2,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,8,1,2,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,4,8,2,7,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,8,2,7,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[7,8,2,1,5,3,6,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,3,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,1,8,3,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,7,1,4,8,3,5,6] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[4,7,6,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,1,8,4,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,3,2,8,1,5,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[8,7,2,6,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,4,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,6,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,8,1,4,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,6,5,8,4,1,3,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,5,4,8,3,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,4,3,7,2,1,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,4,7,1,3,6,5] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,2,5,8,1,4,3,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[4,3,6,8,2,1,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[6,3,5,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,2,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,2,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,1,7,3,6,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,4,8,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,1,3,6,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,3,8,7,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,7,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,5,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,7,6,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,8,7,6,1,3,5] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[3,5,8,7,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,3,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,5,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,5,1,2,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,7,5,8,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,7,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,3,8,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,8,7,3,4,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[7,8,2,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,2,4,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,6,2,8,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,2,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,1,7,3,6,5] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[5,8,2,7,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,1,7,3,5,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,8,2,1,7,4,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,4,1,2,8,5,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[2,5,1,8,7,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,4,8,7,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,8,7,1,4,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,7,6,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,2,4,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,3,6,1,2,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[3,4,8,7,6,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,8,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,7,6,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,5,7,1,3,6,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,1,6,7,3,5,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,6,4,7,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,3,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,6,7,5,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,2,5,7,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,7,2,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,3,6,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,1,4,6,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,3,5,7,1,2,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,4,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,2,6,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,3,1,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,4,8,2,1,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,3,4,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,2,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,1,4,6,8,7,3,5] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[3,4,6,8,7,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,3,1,6,8,7,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[5,3,6,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,1,8,7,2,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,3,5,8,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,1,7,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,1,8,6,7,3,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,2,8,7,6,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,8,7,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,6,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,7,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,7,8,6,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,4,7,8,6,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,4,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,8,6,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,7,5,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,6,4,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,4,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,3,6,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,2,1,8,5,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[4,3,1,7,8,2,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[5,8,4,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,1,7,2,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,6,3,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,8,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,1,7,8,6,3,5] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[4,2,1,7,3,8,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[6,2,8,4,3,1,5,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,3,7,6,2,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,6,5,2,1,4,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,4,1,6,5,3,7] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,8,1,7,5,3,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[8,2,4,1,7,6,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,5,7,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,7,5,4,3,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,1,8,6,4,3,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[2,1,8,6,5,4,3,7] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,3,8,6,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,8,7,5,2,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[7,3,6,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,2,8,1,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[4,2,6,3,8,1,5,7] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
[8,7,6,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,1,6,5,3,7] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[8,5,7,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,8,6,4,3,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[8,6,2,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,4,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,8,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,2,8,5,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,3,8,1,2,7,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[8,4,7,2,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,5,3,7,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[7,3,8,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,3,6,1,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,8,5,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,5,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,2,4,1,6,7,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,7,3,1,2,8,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,8,5,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,3,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[5,7,6,8,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,7,4,8,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,8,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,6,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,5,3,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,4,3,6,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,6,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,5,4,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,5,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,5,8,3,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,5,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,8,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,5,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,6,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,1,8,4,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,6,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,3,6,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,8,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,7,3,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,3,8,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,5,8,7,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,5,8,7,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,3,5,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,2,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,7,1,8,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,4,8,7,3,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,2,8,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,1,6,4,7,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,8,2,6,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,8,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,5,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,5,8,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,3,8,2,7,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,8,4,2,1,3,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,2,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,5,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,8,5,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,2,5,1,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,3,8,7,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,7,4,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,8,6,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,3,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,4,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,5,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,2,7,1,8,6,3,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,8,4,1,2,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[5,8,3,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,7,1,8,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[2,7,1,4,3,8,5,6] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[2,4,1,8,6,3,7,5] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[4,5,8,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,6,1,4,7,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,6,5,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,1,2,7,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,2,4,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,2,1,5,8,6,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,4,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,4,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,3,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,3,1,5,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,5,3,8,1,4,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,3,8,1,4,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,3,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,7,3,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,3,1,6,5,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[5,6,2,8,1,4,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,3,4,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,6,4,5,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,4,8,1,5,3,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[7,8,2,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,5,8,1,4,3,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,8,2,6,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,6,7,1,4,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,1,4,3,7,5,6] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[3,4,1,8,2,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,4,1,8,6,7,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,4,2,8,1,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,6,3,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,1,4,6,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,2,1,7,6,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,2,7,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,4,2,1,3,7,6,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,1,7,2,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,4,3,1,2,7,6,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,5,7,4,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,2,8,6,4,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,7,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,3,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,1,2,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,1,6,3,4,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,5,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,8,5,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,2,1,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,2,1,5,3,4,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[3,7,4,2,8,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,2,6,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,1,5,8,7,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,4,7,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,7,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,3,8,2,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,7,5,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,7,5,6,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,6,8,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,5,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,2,1,7,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,4,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,6,5,8,4,7,3] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,6,8,5,4,3,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,6,4,8,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,3,5,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,2,7,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,8,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,8,4,3,7,5,6] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[6,8,4,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,4,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,8,6,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,8,6,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,4,3,8,7,5] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[5,7,4,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,6,8,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,4,6,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,5,6,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,7,8,6,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,4,8,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,3,1,5,8,7] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
[4,2,8,3,1,6,5,7] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[4,2,6,3,1,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[4,2,1,8,3,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,8,5,7,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,5,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,2,5,7,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,4,8,6,1,2,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[2,4,3,8,1,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[2,8,1,7,5,6,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,8,6,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,1,2,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,1,5,7,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,5,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,2,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,4,8,6,2,1,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,8,6,7,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,4,7,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,8,4,7,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,8,6,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,7,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,7,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,5,1,3,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,5,8,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,1,3,7,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[8,3,7,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,5,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,7,6,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,6,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,7,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,6,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,3,5,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,7,1,5,8,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,4,7,1,8,5,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,7,5,8,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,1,8,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,6,8,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,2,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,6,8,1,2,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,3,8,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,6,4,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,6,8,3,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,3,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,1,6,8,5,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,2,1,6,8,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,6,8,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,5,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,2,1,6,8,4,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,4,1,5,8,7,3] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[6,3,4,1,5,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,6,3,8,1,4,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,7,8,2,3,1,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,2,8,1,4,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,8,4,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,3,8,1,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,3,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,6,8,3,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,6,8,5,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,5,8,3,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,2,4,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,8,6,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,5,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,5,6,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,4,7,8,3,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,4,8,7,3,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,8,7,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,7,8,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,6,8,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,5,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,5,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,6,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,3,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,3,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,3,1,6,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,1,6,2,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,3,8,7,2,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,8,7,6,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,4,7,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,3,8,2,7,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,3,2,8,1,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,4,8,1,6,2,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,8,7,2,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,4,8,2,7,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,4,2,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,1,8,2,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,6,7,8,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,3,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,7,6,8,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,7,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,6,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,3,8,1,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,3,1,8,2,6,5,7] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,3,7,8,5,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,6,3,1,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[2,6,8,4,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,8,6,3,1,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[7,3,6,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,3,6,1,5,7] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,2,8,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,1,8,6,5,7] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[7,3,4,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,7,2,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,2,1,5,7] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,6,5,8,2,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,3,8,7,2,4,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,2,1,6,3,8,4,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[6,2,5,1,8,4,3,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[5,6,4,8,1,3,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,5,4,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,8,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,4,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,6,7,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,7,8,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,8,6,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,4,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,8,7,3,6,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,8,1,5,7,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,7,8,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,1,5,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,1,7,6,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,6,7,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,7,8,2,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,7,6,2,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,2,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,7,6,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,7,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,1,5,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,6,1,4,3,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,3,2,6,1,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[6,2,7,8,1,4,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,4,1,8,7,3,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,8,2,1,6,4,3,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,8,7,1,5,4,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,1,6,5,4,3,7] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,5,8,7,2,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,2,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,5,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,6,3,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,1,6,5,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,7,2,1,6,5,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,6,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,5,7,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,3,7,5,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,3,8,5,1,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[3,6,8,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,1,7,6,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,4,2,3,1,8,6,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,2,8,1,4,6,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,4,7,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,3,5,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,5,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,7,8,5,1,6,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,3,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,2,8,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[8,2,4,7,5,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,4,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,4,6,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,7,8,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,4,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,5,1,6,8,3,7,4] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,7,2,8,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,2,7,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,6,5,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,8,5,4,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,3,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,7,5,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,6,2,1,5,7] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,6,2,1,8,4,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[2,5,6,1,8,4,3,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[5,3,6,8,1,4,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,5,6,8,1,3,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,5,6,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,3,8,4,2,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,7,2,1,3,8,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[7,3,8,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,1,8,5,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,3,6,8,1,5,7] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
[3,6,5,8,2,1,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,4,6,5,8,1,3,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[6,2,4,5,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,8,4,1,7,6,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,2,1,7,5,3,4,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,8,7,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,7,1,3,5] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[4,3,6,2,8,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,7,4,8,2,1,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,1,8,5,6,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,2,3,7,1,8,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,2,1,6,7,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,7,8,5,4,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,4,8,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,1,2,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[8,4,2,3,7,1,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,8,4,7,1,3,5,6] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[8,2,4,6,7,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,3,6,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[5,8,7,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,8,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,2,1,8,7,4] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[8,4,2,1,6,5,3,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,4,2,1,5,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,1,3,8,7,4] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[5,4,8,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,4,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,2,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[2,4,7,3,8,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,4,8,7,2,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[5,4,7,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,3,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,7,2,1,3,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,4,2,1,3,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,5,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,4,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,1,8,5,4,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,8,6,2,1,3,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,4,6,2,8,5,1,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[3,4,6,8,1,5,2,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[3,4,7,2,1,8,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,4,7,8,1,5,6,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,5,6,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[3,5,6,8,4,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,5,7,8,4,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,7,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,5,6,8,3,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,6,2,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,8,3,2,5,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,7,2,3,1,8,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,7,2,8,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,6,8,3,4,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,1,2,4,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,2,5,7,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,3,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,2,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[6,8,3,5,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[8,6,3,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,3,1,6,5,8,2,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[8,2,6,4,1,7,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,3,8,4,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,1,8,4,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,7,2,1,5,3,4,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,3,6,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,7,8,6,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,4,6,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,2,8,1,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,7,3,6,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,3,8,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,8,6,1,5,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[7,8,2,5,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,6,1,7,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,4,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,2,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,2,1,4,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,1,4,5,8,7,3] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[5,4,6,1,3,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,6,4,1,5,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,1,5,4,8,7,3] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[2,6,1,5,4,8,3,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[5,6,3,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,4,6,3,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,6,4,5,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,6,5,4,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,3,1,2,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[8,4,7,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,1,6,5,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,7,6,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,5,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,5,1,4,3,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,8,2,5,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,8,1,4,3,7] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
[5,8,3,6,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,3,7,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,8,3,7,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,8,3,7,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,4,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,5,8,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,5,8,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,6,8,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,6,8,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,6,8,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,4,8,2,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,7,4,8,1,5,2,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,6,5,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,5,8,4,7,1,3] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,6,5,8,3,7,1,4] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[7,6,4,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,4,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,1,7,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,8,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,2,5,7,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,5,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,3,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,5,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,8,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,5,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,3,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,5,7,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,2,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,5,6,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,7,4,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,1,2,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,1,7,5,8,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,3,7,5,1,2,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,1,7,8,5,3,4,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,3,6,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,1,4,6,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,1,5,8,3,4,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,5,6,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,6,1,5,8,3,4,7] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
[8,4,6,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,6,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,5,8,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,1,7,5,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,2,4,3,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,2,1,5,7,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,8,4,1,6,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,1,4,6,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[5,2,6,4,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,4,2,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,7,5,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,4,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,5,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,3,8,6,1,2,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,5,6,3,4,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,8,7,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,4,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,6,1,5,2,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,5,2,7,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,5,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,5,1,4,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,8,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,8,3,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,8,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,6,8,3,7,4] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,8,2,7,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,6,2,8,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,2,6,1,8,7,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,5,2,3,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,6,2,4,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,1,8,3,6,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,2,7,1,8,4,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,6,3,8,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,5,8,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,2,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,8,7,1,4,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,3,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,4,8,5,3,7] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
[4,3,8,1,2,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,6,8,7,1,2,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,8,5,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,6,5,8,7,2] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[8,4,7,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,2,1,6,5,7] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,8,4,2,7,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,2,1,7,5,6,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,4,3,6,1,5,7] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,8,5,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,1,2,8,4,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[3,8,5,6,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,5,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,5,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,8,1,6,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,1,6,5,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,8,7,1,6,5,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,8,7,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,4,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,8,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,5,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,7,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,3,6,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,5,2,8,3,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,2,1,8,3,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,3,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,3,1,8,2,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,2,6,4,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,6,8,2,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[5,7,4,8,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,2,8,7,3,4,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,2,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,7,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,8,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,8,5,4,7,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,5,6,8,4,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,1,8,7,6,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,8,5,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,4,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,1,3,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,4,8,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,1,3,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,4,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,4,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,4,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,4,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,5,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,6,4,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,3,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,6,1,5,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,1,2,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,2,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[7,6,5,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,3,2,1,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,3,4,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,4,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,3,4,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,7,8,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,8,3,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,3,6,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,4,1,7,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,8,4,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,4,1,7,5,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,8,6,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,1,8,5,3,6] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[6,2,1,7,8,3,5,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,3,8,7,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,5,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,4,8,6,1,2,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,1,6,3,7,5] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[3,4,7,8,1,2,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,6,7,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,3,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,3,4,8,2,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,4,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,8,3,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,4,6,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,8,4,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,5,7,8,4,1,3,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,5,7,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[3,5,6,8,2,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,5,6,8,4,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,6,7,8,1,4,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,6,7,8,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,7,8,2,1,4,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,6,7,8,1,4,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,5,7,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,3,1,4,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,4,7,3,8,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[6,4,5,2,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,4,5,3,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,4,6,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,5,7,8,3,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,5,7,8,3,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,5,6,8,2,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,4,6,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,5,7,8,2,1,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,7,8,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,7,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,8,1,3,5,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,7,8,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,6,7,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,2,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,2,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[3,5,7,8,2,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,7,8,1,2,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,7,8,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,7,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,8,1,5,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,2,8,6,1,5,3,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,8,6,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,8,5,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,8,2,1,5,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,1,5,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,2,1,7,8,5,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,7,3,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,1,5,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,7,1,8,5,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,2,5,1,6,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,8,3,7,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,6,3,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,1,5,7,3] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,6,4,8,1,3,7,5] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[3,6,4,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,4,5,1,8,7,3] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[7,8,5,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,6,4,3,1,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,6,4,3,1,8,5,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[2,6,4,3,1,8,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,2,8,3,6,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,5,6,4,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,8,5,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,3,1,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,8,2,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,1,8,7,4,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,6,4,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,6,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,1,8,6,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,4,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,2,3,1,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,4,2,1,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,7,6,8,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,4,5,8,3,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,3,8,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,6,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,7,5,3,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[6,2,8,1,7,5,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,6,5,4,8,1,3,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[6,5,3,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,4,8,6,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,8,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,5,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,1,7,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,7,4,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,7,5,6,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,6,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,5,6,4,3,7] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,1,6,4,3,7,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,8,1,5,7,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,1,5,8,4,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,1,7,6,5,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,6,8,5,1,4,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,5,8,2,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,2,8,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,5,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,1,7,6,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,2,1,6,3,7,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,6,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,4,8,7,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,1,5,7,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,7,4,8,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,2,7,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,6,3,7,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,6,5,4,7,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,8,2,4,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,1,6,5,8,2,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[7,3,4,1,8,5,2,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,2,8,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,8,1,5,3,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,3,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,1,5,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,2,8,7,6,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,7,5,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,6,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,6,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,7,1,5,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,8,1,7,6,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,2,7,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,6,5,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,3,1,8,7,4,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,3,1,8,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,2,1,8,6,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,3,8,1,5,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[4,8,2,3,6,1,5,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,4,3,6,2,1,5,7] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,3,6,1,5,7] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,2,3,8,1,5,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,6,4,3,8,1,5,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[2,8,4,3,6,1,5,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,3,8,4,2,1,5,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,3,6,4,2,1,5,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,3,8,1,5,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,8,5,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,3,8,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[5,8,2,7,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,3,6,8,1,2,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[6,4,3,5,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,5,3,8,4,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,2,5,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,2,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,6,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,6,4,1,8,7,3,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,8,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[3,4,1,2,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[7,8,4,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,7,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,4,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,2,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,3,5,7,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,7,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,1,5,6,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,1,8,7,4,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,4,8,3,1,6,5,7] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[5,2,7,1,8,6,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,5,2,8,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,7,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,1,7,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,4,3,1,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,8,6,4,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,8,7,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,2,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,8,4,2,1,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,1,2,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,8,5,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,8,2,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,6,4,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,8,7,1,5,6,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,8,6,1,5,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,5,8,6,1,4,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,3,5,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,1,3,7,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,8,4,1,3,7,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,6,8,7,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,6,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,2,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,7,6,1,8,5,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,6,8,1,4,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,7,8,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,1,8,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[7,3,5,8,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,3,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,5,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,4,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,8,5,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,4,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,8,3,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,7,5,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,2,4,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,7,5,8,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,3,8,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,7,6,5,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,2,8,6,5,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,5,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,6,4,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,8,7,5,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,4,3,8,1,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,2,3,7,8,5,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[6,4,7,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,6,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,6,8,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,1,4,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,1,5,3,4,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,6,2,1,5,3,4,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,2,1,7,5,3,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,7,8,1,5,3,4,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,7,2,1,8,5,3,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[8,7,2,1,4,5,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,5,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,7,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,1,6,5,3,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,2,4,1,8,5,3,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[8,2,6,1,4,5,3,7] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,8,1,4,5,3,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,8,6,1,5,3,4,7] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,5,6,7,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,1,4,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,6,5,8,7,2] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[5,3,6,2,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,2,4,5,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,7,4,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,2,1,7,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,8,4,2,6,1,5,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,2,1,5,6,7,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,8,4,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,6,8,7,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,5,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,5,4,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,5,1,8,3,4,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[8,7,2,4,3,1,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,3,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,3,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,7,6,8,3,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,1,7,3,8,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,2,1,3,7,8,6,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[3,7,8,6,2,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,1,3,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,2,1,6,3,8,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,8,6,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,3,8,6,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,7,8,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,8,3,7,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[7,8,2,4,1,3,6,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,5,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,5,6,1,4,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,7,5,1,8,3,4,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,5,6,1,4,8,3,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,7,8,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,4,3,6,7,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,1,8,4,7,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,7,1,4,6,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,2,7,1,5,4,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,7,2,4,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,4,7,3,5,6] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[2,4,8,7,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,3,1,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,1,4,7,3] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,2,7,1,4,6,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,8,7,1,6,4,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,3,7,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,4,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,8,7,5,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,3,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,1,8,6,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,4,6,8,2,1,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[5,2,1,6,8,3,4,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[5,2,6,8,4,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,5,2,8,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,7,3,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,1,8,3,5,6] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[7,2,4,8,6,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,4,8,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,1,6,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,7,2,1,8,5,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,7,2,8,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[6,2,4,8,5,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,5,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,3,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,2,4,8,5,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,6,3,8,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,2,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,6,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,2,5,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,2,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,6,4,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,5,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,5,2,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,8,7,4,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,4,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,8,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,4,5,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,6,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,2,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,3,6,8,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,4,5,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,7,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,6,8,7,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,1,6,8,4,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,8,6,4,7,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,8,7,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,7,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,2,7,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,8,4,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,8,1,6,2,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[5,7,6,8,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,6,5,7,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,6,8,2,5,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,4,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,2,4,8,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,4,2,8,5,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,2,3,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,7,8,5,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,1,2,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,8,2,1,3,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,6,2,8,1,3,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,2,6,8,3,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,6,5,8,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,6,8,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,8,2,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[2,4,6,8,3,7,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,6,2,5,4,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,6,2,4,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,1,4,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,4,7,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,6,5,2,1,7,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,3,7,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,1,8,2,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,4,6,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,6,7,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,7,1,8,5,3,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,2,1,8,7,5,6,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,3,6,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,4,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,8,2,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,4,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,8,3,2,1,5,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[4,8,2,6,5,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,5,4,1,3,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[5,4,8,7,3,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,3,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,1,7,4,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,8,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,1,7,6,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,5,2,8,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,6,8,1,5,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,4,8,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,3,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,6,4,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,3,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,6,8,4,3,5,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,4,2,3,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,3,8,4,1,2,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,5,6,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,6,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,6,2,8,5,7,1] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[4,2,6,8,7,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,6,1,8,5,2,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[2,8,7,4,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,4,3,5,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,6,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,6,5,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,6,5,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,5,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,8,5,1,2,4,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[5,7,6,8,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,8,5,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,7,4,8,1,2,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,4,3,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,6,8,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,7,5,4,1,3,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,5,2,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,7,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,5,6,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,8,6,7,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,5,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,1,6,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,2,1,5,6,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,5,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,7,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,1,2,6,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,5,8,3,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,4,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,1,2,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,6,8,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,1,2,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,8,6,1,3,7,5] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[2,7,8,6,1,4,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,7,8,4,1,6,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,5,4,1,3,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,4,6,5,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,5,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,2,5,1,8,3,4,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[2,1,4,8,7,6,3,5] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[7,4,6,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,1,8,6,7,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[6,2,1,5,3,8,7,4] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[5,6,3,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,7,6,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,1,3,4,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,6,2,8,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,7,5,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,6,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,7,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,2,8,1,6,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,4,3,2,6,7,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,8,1,6,7,3,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,4,8,1,6,7,3,5] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[3,4,8,7,2,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[7,8,5,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,4,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,3,2,8,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,2,6,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,2,5,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,3,8,6,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,4,3,8,6,5] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[2,1,6,8,5,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,4,8,6,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,8,2,5,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,8,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,1,7,3,6,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,4,7,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,3,5,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,4,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,5,3,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,3,7,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,1,2,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,8,4,1,2,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,7,4,1,2,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,4,1,7,8,6,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[6,4,2,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,8,7,3,5,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,1,2,6,5,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,3,1,2,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,2,4,3,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,8,7,4,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,4,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,4,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,3,2,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,3,8,7,5,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,3,7,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,5,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,3,7,8,4,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,5,8,3,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,2,4,8,3,1,5,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,3,8,7,4,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,3,8,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,5,6,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,3,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,3,4,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,5,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,3,6,1,4,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,2,7,1,8,4,3,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,7,2,1,8,4,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,7,2,1,8,4,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,1,6,8,7,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,1,6,8,5,7,3] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[4,2,1,6,8,5,3,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[5,2,6,1,8,4,3,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[5,2,6,1,8,7,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,2,6,1,8,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,2,6,1,8,3,4,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[4,2,1,6,8,3,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,2,1,7,8,6,3,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[4,2,1,7,8,3,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[5,2,7,1,8,3,6,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,7,2,1,8,3,5,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,7,1,8,3,4,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,2,1,7,8,3,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[7,5,2,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,1,8,2,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,4,2,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,4,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,1,5,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,3,7,8,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,2,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,6,3,8,2,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,3,6,8,2,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,4,6,2,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,6,4,2,1,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,5,8,6,4,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,6,3,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,3,4,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,3,4,2,1,5,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[5,6,4,2,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,7,8,5,4,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,6,4,2,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,1,8,4,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,1,8,5,6,4,3,7] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,5,6,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,4,2,1,8,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,7,8,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,6,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,4,2,1,8,5,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[3,8,6,4,2,1,5,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,8,6,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,3,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,8,6,4,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,3,7,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,8,4,3,7,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,4,2,3,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,7,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,3,6,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,4,7,8,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,3,2,5,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,4,2,6,3,1,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,6,5,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,6,3,1,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,8,2,7,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,2,1,4,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,2,7,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,2,8,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,3,1,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,1,3,6,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,2,1,5,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,8,2,1,3,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,3,2,7,6,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,3,8,2,7,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,3,2,8,1,7,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[2,6,7,8,3,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,3,8,1,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,2,8,6,3,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[8,7,5,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,1,3,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,4,7,3,1,8,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,5,1,7,8,4,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,1,6,8,4,7,3] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,3,7,8,2,4,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,3,7,2,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,3,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,7,8,3,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[6,5,3,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,4,6,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,6,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,8,3,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,3,8,7,2,4,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,8,7,3,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,6,8,7,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,4,6,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,4,7,2,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,2,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,8,6,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,7,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,2,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,5,2,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,1,5,8,7,2] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[4,3,6,5,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,3,5,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,3,1,5,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,5,3,1,8,7,4] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,6,5,1,8,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,5,8,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,5,8,1,3,7,4] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,6,5,8,3,1,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,6,5,3,8,1,7,4] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,6,5,3,8,7,1,4] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,4,3,8,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,3,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,5,3,1,7,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,5,1,7,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,6,8,3,5,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,3,1,5,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,1,8,5,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,3,8,1,5,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,3,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,6,8,1,5,7,2] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[4,3,6,1,8,5,7,2] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[4,3,1,6,8,5,7,2] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[4,3,6,1,8,7,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,3,6,8,1,7,5,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,2,8,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,5,8,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,1,8,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,8,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,8,7,1,5,3,6] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[4,2,8,7,5,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,7,5,1,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,8,7,3,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,6,4,8,2,1,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[3,6,8,4,2,1,5,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[4,3,2,6,1,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[3,8,4,6,2,1,5,7] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,4,7,8,1,5,3,6] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,7,8,4,3,5,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,4,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,1,6,3,7,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,8,7,6,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,6,4,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,2,6,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,3,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,1,8,5,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,8,2,6,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,6,1,2,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,7,6,2,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,6,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,1,3,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,6,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,3,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,6,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,6,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,4,8,6,2,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,8,2,1,6,7,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,7,2,8,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,6,4,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,8,7,3,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,5,8,7,1,2,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,3,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,8,1,7,5,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,6,8,4,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,8,2,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,4,3,7,6,5] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[5,6,8,4,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,2,4,8,3,6,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,5,8,3,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,8,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,5,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,2,5,1,8,6,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,1,4,8,6,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,6,5,1,8,7,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,6,5,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,6,5,4,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,3,4,2,6,1,7,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,7,4,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,1,5,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,7,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,1,5,4,3,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,2,6,1,4,3,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,5,2,1,7,4,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,2,1,5,4,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,7,5,1,3,4,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,7,1,5,4,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,7,4,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,1,5,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,7,3,8,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,1,2,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,3,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,4,7,1,2,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,7,4,1,3,6,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,8,2,1,3,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,1,2,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,8,7,1,5,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,8,5,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,1,2,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,5,8,1,2,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,4,7,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,5,6,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[3,8,6,7,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,4,6,7,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,7,8,6,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,1,7,6,3,5,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,7,3,2,1,8,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,7,2,3,1,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,3,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[6,4,2,1,8,5,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,7,2,6,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,7,8,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,5,7,8,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,7,8,6,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,3,4,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,4,8,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,4,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,3,8,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,6,1,4,3,8,7,5] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
[7,3,4,1,8,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,3,4,1,8,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,3,1,8,7,4,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,3,6,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,4,8,7,1,3,6,5] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[3,4,1,7,2,8,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,6,4,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,1,4,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,7,4,8,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,2,8,7,1,4,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,1,5,4,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,7,3,8,2,1,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,5,3,8,2,1,4,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,6,2,1,8,5,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,1,7,6,4,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,8,2,1,7,6,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,7,1,8,5,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,1,7,8,4,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,5,8,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,1,6,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,1,6,4,5,8,3,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[8,6,3,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,5,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,5,7,8,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,2,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,6,3,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,3,6,1,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[4,8,3,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,7,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,2,7,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,1,4,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,7,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,7,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,5,8,7,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,1,5,6,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,6,3,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,4,7,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,1,5,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,6,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,1,6,3,4,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,7,4,1,5,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,1,7,5,6,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,5,2,1,6,7,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,5,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,3,5,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,6,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,5,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,5,8,1,3,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,4,6,2,1,3,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,4,8,7,2,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,4,8,7,3,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,3,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,2,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,3,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,8,5,4,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,1,5,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,3,7,8,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,1,5,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,1,8,2,7,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,3,7,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,8,1,7,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,4,6,2,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,3,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,2,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,6,7,8,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,1,8,5,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,7,4,1,8,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,4,8,1,5,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,6,1,3,4,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[7,8,4,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,5,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,1,3,8,6,5] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,1,5,6,8,4,3,7] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
[2,4,7,3,1,8,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,5,1,7,8,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,1,5,6,8,4,7,3] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,4,1,7,8,5,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,1,5,6,8,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,7,4,1,8,6,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,4,6,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,5,6,2,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,5,6,8,1,7,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,5,6,1,8,7,3,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,6,3,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,2,8,1,5,4,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,8,6,1,4,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,6,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,5,8,7,2,4,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,7,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,2,8,7,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,7,8,5,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,2,7,8,4,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,7,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,4,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,3,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,8,5,6,4,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,5,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,5,8,2,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,4,2,6,5,8,1,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[3,4,2,7,1,8,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[4,7,2,3,1,8,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,4,3,8,1,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,7,4,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,3,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,7,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,8,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,8,4,5,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,7,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,8,4,5,3,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[2,5,7,8,4,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,8,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,6,5,3,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[8,2,4,3,1,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,2,4,3,1,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,2,6,3,5,1,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,6,2,1,5,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,5,2,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,1,6,4,3,8,7,5] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[4,8,2,1,6,7,3,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,8,2,1,4,3,7,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,2,4,3,1,5,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,4,6,5,3,7] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,1,6,4,8,5,7,3] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[4,6,5,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,4,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,2,8,3,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,6,3,5,1,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,4,8,5,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,6,3,5,8,7,1] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[4,2,6,3,8,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,4,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,2,4,3,6,5,1,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,1,4,6,5,3,7] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,1,4,8,5,7,3] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[6,2,1,8,7,4,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,1,8,4,3,7,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,4,6,5,2,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,2,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,6,7,3,5] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,6,8,7,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,8,6,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,8,6,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,5,1,3,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,6,2,1,5,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,6,8,4,3,7,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,8,7,4,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,7,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,6,2,1,7,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,4,8,3,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,7,4,8,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,4,5,3,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,7,1,8,4,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,7,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,1,8,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,7,8,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,7,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,4,5,6,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,7,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,3,1,5,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,2,4,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,2,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,2,3,1,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,7,3,2,8,6,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,1,7,6,8,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,7,2,3,8,5,1,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,4,8,3,5,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,3,5,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,3,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,4,1,8,2,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,3,7,4,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,8,1,3,6,5] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[5,2,1,8,7,4,3,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[5,2,6,3,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,2,8,4,3,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,4,6,5,7,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,3,8,7,2,1,4,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,4,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,5,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,3,2,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,3,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,8,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,7,2,8,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,7,3,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,3,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,7,8,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,8,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,4,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,5,1,3,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,6,8,4,3,5,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,1,5,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,4,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,3,6,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,8,3,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,2,5,8,4,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,7,8,4,6,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,5,2,1,8,7,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,5,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,2,3,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,6,3,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,3,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,4,6,8,2,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,4,6,2,1,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,4,1,6,8,7,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,5,6,1,8,7,2,4] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,4,1,8,6,7,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,8,6,1,7,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,5,6,1,8,7,4,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,1,6,8,7,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,4,6,8,7,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,7,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,4,7,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,8,4,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,1,7,8,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[8,6,4,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,2,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,6,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,4,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,2,5,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,5,8,6,3,1,4,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,3,8,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,3,1,5,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,5,8,7,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,8,1,6,5,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,8,6,3,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,3,8,5,2,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,8,1,3,7,5,6] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,5,8,1,7,3,6,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,1,5,7,3,6,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,8,1,5,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,1,5,8,3,4,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,7,5,8,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,5,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,7,1,2,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[8,6,4,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[5,3,6,4,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,4,1,5,3,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[4,2,3,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,8,4,2,1,5,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,5,2,1,7,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,6,2,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,2,1,6,5,8,3,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[7,4,3,1,8,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,4,2,1,8,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,2,1,8,6,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,8,1,7,3,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,3,8,7,2,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,3,1,7,2,8,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[3,8,6,4,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,1,2,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,6,3,8,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,4,3,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,3,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,5,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,7,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,7,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,5,6,1,2,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,7,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,6,3,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,3,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,7,8,4,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,2,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,7,2,1,6,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,4,2,1,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,8,4,6,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,1,7,8,4,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,7,4,8,1,2,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,4,7,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,3,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,6,8,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,1,6,7,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,5,1,4,8,3,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[5,2,6,1,4,8,3,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[8,2,1,5,7,3,4,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,1,3,8,6,7,5] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,4,3,7,1,2,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,2,1,6,8,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,6,8,1,7,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,7,2,8,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,4,1,8,5,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,8,6,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,2,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,1,8,7,3,4,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[6,2,7,1,8,3,5,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,4,3,2,7,1,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,3,8,7,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,4,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,5,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,4,3,7,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,4,1,7,8,5,6,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,5,6,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,7,1,2,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,8,6,4,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,6,4,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,1,6,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,5,8,7,4,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,8,4,1,2,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,1,3,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,4,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,4,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,2,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,6,8,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,7,8,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,7,8,1,6,3,5] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[5,4,7,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,1,2,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,1,4,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,8,5,6,1,4,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,6,8,5,3,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,6,4,8,5,1,7,3] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,6,4,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,5,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,4,8,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,1,2,8,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,7,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,2,1,8,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,7,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,7,4,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,6,4,2,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,5,4,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,6,8,1,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,2,8,7,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,4,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,6,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,3,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,8,7,4,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,8,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,5,4,8,3,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[2,1,7,8,4,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,5,7,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,1,7,5,2,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,3,8,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,1,6,5,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,6,5,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,5,7,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,7,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,2,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,4,8,7,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,7,3,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,5,3,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,5,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,7,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,3,1,5,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,7,4,8,3,5,6] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,2,8,6,1,3,4,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,4,8,2,3,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,1,8,2,5,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,3,6,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,7,3,1,8,2,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,8,1,4,7,3,5,6] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[4,6,2,8,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,8,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,1,2,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,5,2,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,4,3,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[3,5,7,8,1,4,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,7,8,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,4,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,7,8,1,4,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,4,2,5,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,5,8,1,7,3,4,6] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[6,8,2,7,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,1,7,3,4,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,8,4,2,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,8,4,1,6,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,4,3,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,7,4,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,2,1,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,7,4,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,5,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,2,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,1,2,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,7,4,3,6,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,4,5,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,7,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,7,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,4,8,2,6,1,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,8,4,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,1,5,3,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[4,2,6,8,1,5,3,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[7,4,2,8,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,1,8,4,5,3,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[6,3,7,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,6,5,3,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,4,1,8,6,5,3,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[4,2,1,8,6,5,3,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[7,3,6,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,5,3,4,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,7,3,8,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,1,8,7,4,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,7,5,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,3,8,7,4,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,2,1,8,6,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,3,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,2,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,3,7,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,2,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,8,7,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[7,5,8,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,1,3,7,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,4,2,8,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,1,7,4,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,5,2,1,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,5,6,2,1,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[3,5,7,8,1,4,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,5,8,7,4,3,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,1,5,7,8,4,3,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[4,7,2,8,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,2,8,4,1,7,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,3,4,8,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,4,8,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,1,6,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,6,8,4,1,7,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,7,3,8,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,5,6,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,5,7,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,3,6,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,6,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,8,6,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,8,7,6,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,7,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,4,7,8,1,6,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,5,8,7,6,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,7,8,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,7,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,6,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,8,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,1,3,5,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,4,8,7,1,3,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,7,1,4,5,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,2,1,8,7,3,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[3,4,2,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[3,7,6,8,1,5,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,6,1,7,3,5,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,6,5,8,1,4,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,1,5,3,7] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,7,3,8,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,2,4,1,3,7,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,2,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,5,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,6,1,7,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,4,7,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,1,6,4,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,3,7,4,2,1,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,3,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,5,8,4,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,7,4,2,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,7,1,4,3,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,2,8,1,6,5,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,4,8,2,1,5,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,1,6,3,7,5] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[8,2,7,5,1,6,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,1,5,3,8,4,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[7,4,3,8,1,5,2,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,3,4,2,8,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,5,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,1,3,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,8,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,2,1,8,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[7,4,3,2,8,1,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,5,7,4,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,6,1,4,3,7] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,2,6,8,4,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,6,4,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,1,3,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,4,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,1,8,3,6,5] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[4,2,8,7,3,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,8,7,1,6,3,5,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,8,7,6,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,4,3,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,6,8,3,5,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,2,8,7,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,1,5,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,5,6,2,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,7,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,6,1,5,2,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,6,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,7,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,1,3,7,6,5] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[7,8,3,6,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,1,2,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,7,8,5,1,3,6,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,2,5,6,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,8,3,1,5,7] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
[4,2,3,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,2,7,1,8,3,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[4,2,8,3,7,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,3,4,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,5,3,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,7,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,6,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,4,6,8,7,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,5,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,4,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,8,4,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,1,3,8,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,7,4,1,2,8,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[7,6,3,8,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,3,8,1,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,6,2,7,1,3,5,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,8,5,6,1,2,4,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,5,8,1,2,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,6,4,8,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,1,2,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[7,2,8,1,6,3,4,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,7,8,2,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,2,7,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,6,4,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,2,1,6,3,5,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,4,8,7,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,1,6,3,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,8,6,5,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,8,5,2,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,1,7,4,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,7,5,1,6,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,6,7,5,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,4,1,7,3,5,6] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[4,8,6,2,1,3,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,4,1,8,3,5,6] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
[3,8,6,4,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,4,6,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,5,7,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,6,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,5,8,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,5,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,4,1,6,5,2,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[8,7,2,4,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,5,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,3,7,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,5,3,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,5,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,3,8,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,8,1,4,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,7,8,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,1,7,4,3,6] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[6,8,2,7,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,1,8,4,3,7] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
[4,2,7,3,1,8,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,8,3,1,7,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[4,8,3,2,1,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[3,4,8,2,1,6,5,7] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[6,8,3,7,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,7,1,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[3,4,1,8,6,2,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,8,6,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,2,1,3,4,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,5,2,7,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,7,4,3,5,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,3,7,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,4,2,1,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,6,7,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,2,8,1,4,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,4,2,8,1,3,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,7,8,4,5,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,3,8,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,8,4,1,2,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,7,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,8,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,5,8,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,5,8,7,2,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,7,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,4,1,8,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,8,4,1,7,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,7,8,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,5,3,6,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,4,2,7,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,8,5,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,1,8,3,6,5] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[2,5,1,8,7,4,3,6] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[8,6,3,4,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,1,3,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,3,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,7,8,2,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,3,2,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,6,7,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,5,1,4,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,5,8,7,4,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,4,2,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,1,3,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,1,7,6,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,1,4,7,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,5,3,6,2,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,3,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,6,4,2,8,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,5,6,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[3,6,4,1,8,7,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,6,4,5,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,6,5,8,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,5,8,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,3,8,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,6,4,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,4,5,8,1,7,3] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,5,6,4,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,6,5,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,8,7,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,6,8,2,1,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,5,6,8,1,7,2,4] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,4,2,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,2,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,2,4,5,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,2,6,7,1,4,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,6,7,4,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,3,5,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,4,1,5,8,3,7] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,8,1,6,7,4,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[6,8,4,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,4,7,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,1,6,4,7,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,1,4,8,5,3,7] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
[6,4,5,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,2,3,6,1,8,5,7] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
[4,2,3,1,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[4,2,3,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,4,5,8,2,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,6,7,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,2,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,3,1,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,8,1,3,6,7,5] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
[2,4,1,8,3,6,7,5] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
[2,1,4,8,6,3,7,5] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
[6,4,8,2,5,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,2,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,3,5,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,6,8,4,1,5,7,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,8,1,4,5,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,1,6,8,4,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,8,1,4,6,7,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,8,6,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,3,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,2,3,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,5,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,4,6,2,5,8,7,1] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[4,3,8,6,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,8,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,1,3,4,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,8,5,7,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,5,6,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,8,1,7,6,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,7,6,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,8,7,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,8,2,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,3,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,5,3,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,4,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,8,5,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,7,6,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,3,5,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,1,8,3,6,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,8,7,4,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,2,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,8,7,4,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,3,4,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,4,6,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,3,1,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[8,2,6,1,5,4,7,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,6,2,7,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,6,8,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,3,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,6,5,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,8,3,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,4,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,8,6,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,1,6,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,2,6,8,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,1,7,5,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,8,3,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,5,8,6,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,3,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,7,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,4,1,3,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,1,7,8,4,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,4,7,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,8,2,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,4,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,3,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,7,1,8,4,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,6,4,8,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,7,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,2,6,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,2,6,4,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,7,2,8,3,5,1,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[7,5,8,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,1,3,7,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,4,7,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,3,8,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,4,3,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,5,3,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,2,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,4,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,7,8,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,6,8,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,4,3,8,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,3,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,6,2,1,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[3,6,4,2,5,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,4,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,2,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,3,4,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,3,4,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,3,8,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,1,8,6,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,7,1,8,4,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,8,4,2,6,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,8,4,1,7,5,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,2,8,7,1,5,3,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,2,6,8,1,7,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,4,7,3,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,1,5,3,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,4,1,5,3,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,4,8,2,7,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,4,8,7,1,6,5,2] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,7,1,4,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,4,3,7,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,7,4,3,1,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,5,7,6,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,1,8,7,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,4,1,7,6,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,8,3,7,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,2,1,7,6,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,1,7,6,5,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,8,6,3,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,1,4,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,3,1,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,1,5,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,4,6,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,4,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,6,8,5,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,7,1,5,8,4,3,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,7,6,1,8,4,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,7,8,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,6,4,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,1,3,8,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,7,6,8,5,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,6,8,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,8,6,4,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,8,2,6,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,6,1,5,3,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,8,3,6,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,2,7,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,5,8,6,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,7,3,8,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,4,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,8,4,3,5,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,1,6,7,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,4,8,2,6,5,7,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,8,5,6,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,8,1,7,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,1,8,4,3,5,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[6,7,2,8,1,3,4,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,6,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,5,7,8,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[3,8,6,7,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,5,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,1,5,4,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,4,8,3,7,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,7,5,1,8,3,6,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,4,7,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,3,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,2,7,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,2,1,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,4,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,5,1,2,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,6,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,6,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,8,7,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,8,6,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,2,8,1,7,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,2,4,3,8,1,7,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,6,5,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,6,5,8,7,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,6,4,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,6,4,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,3,1,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,5,6,3,1,4,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,4,7,8,5,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,3,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,8,7,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,7,8,5,3,6] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[8,5,6,7,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,6,7,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,8,7,5,4,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,8,3,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,3,8,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,1,6,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,4,6,1,8,7,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,1,6,8,7,5,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,6,1,8,7,5,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,8,2,1,4,6,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,3,8,6,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,1,2,5,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,1,6,5,3,8,4,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[5,7,4,8,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,6,3,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,2,1,8,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[2,4,7,3,8,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,5,8,7,4,1,3,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,7,4,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,2,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,7,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,1,5,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,6,2,1,5,7,4,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,8,6,7,5,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,3,1,8,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,2,7,8,6,1,3,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,6,8,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,1,2,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,8,6,1,2,7,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,6,8,7,1,3,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,4,8,2,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,4,8,1,3,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,6,4,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,3,1,7,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,3,8,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,4,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,3,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,5,6,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,4,8,7,2,1,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,3,6,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,2,4,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,6,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,2,1,6,3,8,7,4] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[4,2,1,8,6,3,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[2,8,6,1,7,4,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,5,2,6,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,5,6,3,7,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,5,1,6,4,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[5,6,3,8,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,8,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,4,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,3,8,4,5,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,7,3,8,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,7,3,2,8,5,1,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,3,7,2,8,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,8,7,4,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,3,7,5,6] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
[5,3,7,8,4,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,7,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,8,7,3,5,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,3,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,4,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,4,7,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,4,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,1,7,5,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,8,4,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,5,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,8,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,7,8,4,1,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,7,8,6,4,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,6,3,8,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,1,7,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,4,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,5,3,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,3,8,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,5,8,4,3,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,2,8,1,4,3,6,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,1,5,8,6,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,8,4,6,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,1,4,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,6,5,4,8,1,7,3] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,3,5,7,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,6,8,5,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,8,1,7,6,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,3,6,8,5,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,4,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,4,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,4,8,5,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,4,1,8,2,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,6,4,1,5,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,8,6,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,1,8,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,3,6,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,6,3,8,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,3,8,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,2,8,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,2,7,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,5,6,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,3,1,4,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,4,8,6,2,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,7,5,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,2,8,7,5,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,5,7,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,2,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,4,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,2,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,5,8,3,1,2,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,3,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,2,8,1,5,3,4,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,8,6,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,8,6,4,5,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,6,8,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,3,6,7,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,6,2,1,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,6,4,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,5,4,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,5,6,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,7,4,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,2,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,6,8,2,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,3,8,4,1,6,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,4,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,8,2,3,4,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,2,1,6,3,4,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,4,7,8,5,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,5,7,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,5,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,3,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,7,2,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,5,1,8,4,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[7,8,5,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,4,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,6,2,7,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,5,8,6,7,4,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[5,3,8,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,6,1,7,2,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[3,8,5,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,5,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,2,1,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,6,5,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,4,3,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,7,1,8,4,6,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,7,5,8,1,6,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,3,7,6,1,2,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,7,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,4,7,1,5,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,3,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,5,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,7,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,2,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,7,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,1,4,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,2,7,8,1,4,3,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,6,3,8,4,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,2,7,6,1,4,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,5,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,6,8,1,5,7,2] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,2,1,6,7,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,4,6,5,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,6,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,7,8,6,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,4,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,5,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,2,1,5,4,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,8,6,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,3,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,1,4,3,5,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,1,7,8,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,5,8,6,1,4,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,7,2,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,1,8,7,3,6,5] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
[7,3,8,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,2,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,6,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,8,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,2,1,8,5,7] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
[5,6,4,8,3,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,7,4,8,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,2,8,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,8,7,3,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,3,1,6,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,4,3,1,8,6,2,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,7,2,8,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,2,5,4,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,6,3,2,1,8,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,5,3,2,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,2,7,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,4,3,2,8,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,3,7,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,3,8,5,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,4,3,6,5,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,4,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,1,8,5,6,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,4,8,1,7,5,6,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,5,1,8,3,6,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,2,1,5,8,4,6,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,8,1,7,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,3,6,4,1,7,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,1,3,6,7,5] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[8,2,6,5,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,1,3,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,6,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,8,2,3,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,2,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,6,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,5,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,3,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,8,1,7,2,4] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,2,7,8,3,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,7,4,5,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,4,8,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,8,5,3,4,7] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[5,6,8,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,6,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,3,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,3,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,4,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,2,6,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,2,8,5,7,1] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[6,4,8,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,3,6,7,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[7,6,8,3,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,1,6,4,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,5,8,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,4,6,7,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,4,3,7,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,8,4,6,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,1,2,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,5,4,1,8,3,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[6,2,5,1,4,8,3,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,5,4,1,3,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,3,5,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,7,4,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,4,7,6,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,4,5,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,7,3,1,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[3,4,8,2,6,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[8,4,2,1,7,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,7,5,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,4,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,5,4,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,5,7,6,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,4,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,4,7,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,3,8,5,7,1] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[2,8,6,4,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,6,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,2,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,3,4,6,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,4,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,6,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,7,4,1,3,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,1,4,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,2,4,8,1,5,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,4,2,5,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,1,7,5,8,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,3,8,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,1,5,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,4,8,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,8,2,3,1,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,1,4,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,5,4,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,1,4,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,8,6,3,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,4,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,3,5,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,6,3,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,8,4,6,3,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,7,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,3,7,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,6,3,8,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,4,6,1,8,7,3,5] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[2,4,3,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,4,6,3,8,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[2,4,6,5,8,7,1,3] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,4,6,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,4,6,8,5,7,1,3] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[2,4,6,8,3,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,4,6,8,1,7,3,5] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,4,6,5,1,8,7,3] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[2,4,6,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,4,6,5,8,1,7,3] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,4,6,8,5,1,7,3] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,4,6,8,7,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,6,8,7,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,6,8,7,1,3,5] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[2,4,6,8,5,1,3,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[2,4,6,5,1,8,3,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[2,4,6,5,1,3,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,4,6,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,4,6,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,4,6,8,5,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,4,6,8,7,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,4,6,8,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,5,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,7,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,6,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,2,7,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,2,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,6,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,2,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,7,2,1,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,6,3,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,1,7,6,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,3,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,2,4,8,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,5,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,6,5,4,1,3,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,4,5,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,2,8,5,1,4,3,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,2,5,3,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,5,1,4,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,3,1,2,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,6,2,3,1,5,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,4,1,8,2,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,8,4,1,7,6,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,5,7,8,2,4,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,8,2,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,4,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,8,4,7,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,1,7,6,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,4,2,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,4,7,8,6,1,3,5] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[3,7,8,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,6,5,2,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[8,3,4,1,2,6,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,3,4,8,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,4,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,4,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,5,8,1,3,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[2,8,4,6,7,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,8,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,8,7,2,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,3,8,1,2,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[4,3,8,2,1,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,8,4,2,7,1,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,8,4,3,7,6,1,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,2,8,3,1,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[4,8,2,1,3,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,2,8,1,3,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[6,7,2,8,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,4,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,7,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,4,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,7,8,5,2,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,3,5,6,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,1,3,8,5,6] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[4,6,8,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,7,4,5,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,4,5,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,2,4,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,8,3,7,1,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,6,3,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,5,1,3,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[5,7,6,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,7,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,3,6,2,8,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,8,4,7,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,1,7,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,3,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,4,8,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,6,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,7,8,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,5,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,6,8,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,2,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,6,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,2,7,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,5,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,8,7,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,1,4,3,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[4,6,5,3,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,8,7,5,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,8,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,3,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,4,8,7,3,6,5] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
[4,8,7,3,1,2,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,3,4,1,2,6,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,1,6,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,7,1,4,3,6,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,8,7,5,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,3,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[2,4,3,1,8,7,5,6] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[4,3,1,2,6,8,7,5] => [4,3,2,1,8,7,6,5] => ([(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) => 15
[2,8,7,5,6,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,5,3,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,7,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,6,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,7,5,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,7,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,3,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,4,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,1,2,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,1,8,4,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,8,6,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,7,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,7,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,3,5,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,5,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,7,5,4,3,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,5,7,1,8,4,3,6] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[8,4,6,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,6,7,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,7,8,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,3,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,2,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,1,7,8,6,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[3,5,6,2,8,7,4,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,7,4,2,8,5,1,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,7,4,2,1,8,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[4,8,5,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,1,2,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,7,6,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,1,5,7,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,3,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,6,5,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,8,6,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,6,5,3,4,7] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,4,8,6,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,1,7,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,1,7,8,5,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,8,3,1,6,5,7,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,5,8,4,2,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,4,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[2,1,5,8,6,4,7,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,8,6,2,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,6,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,6,4,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,1,8,4,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,8,1,6,5,7,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,4,6,8,1,3,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,2,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,1,3,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,8,7,1,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,8,3,2,7,1,6,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,8,3,1,7,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,3,8,7,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,6,8,4,7,3] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[6,5,8,7,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,8,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,3,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,2,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,5,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,4,8,3,7,5] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[6,8,4,7,3,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,7,8,2,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,8,3,6,5,1,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,3,8,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,3,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,3,5,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,6,7,2,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,7,4,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,4,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,5,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,6,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,2,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,8,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,1,8,6,4,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,5,8,1,7,4,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,5,7,8,1,6,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,7,8,5,6,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,8,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,4,8,3,7,5] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[4,2,8,7,1,3,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,3,6,5,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,2,6,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,6,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,6,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,4,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,2,6,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,1,4,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,5,8,1,4,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,2,1,5,4,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,7,4,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,4,5,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,8,7,2,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,3,6,1,5] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[4,7,3,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,8,7,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,2,3,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[7,8,6,4,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,1,5,3,7,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[6,8,2,1,5,3,7,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,1,8,5,4,7,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,3,2,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[6,2,1,7,8,5,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,4,6,8,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,3,1,5,7] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,6,4,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,1,3,4,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,8,2,5,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,6,2,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[7,2,8,5,3,1,6,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,2,8,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,5,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,6,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,7,8,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,7,6,5,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,7,4,8,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,6,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,7,2,8,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,2,8,4,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,6,5,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,2,5,6,3,1,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,4,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,3,5,7,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,1,6,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,6,3,2,8,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[8,6,2,7,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,4,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,4,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,5,6,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,4,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,8,6,3,5,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,6,5,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,1,7,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,8,6,5,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,8,2,7,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,2,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,2,6,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,3,2,5,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,3,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,4,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,6,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,6,7,4,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,2,8,6,3,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,3,1,6,5,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[3,8,4,6,1,5,2,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,3,5,6,1,4,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,2,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,6,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,2,1,8,4,3,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[5,6,2,1,8,3,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,2,5,6,7,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,7,4,8,6,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,8,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,6,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,7,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,1,5,8,7,3] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[2,4,8,7,5,1,3,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[5,3,6,2,8,7,4,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,3,5,2,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,8,4,1,3,7,6,5] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[2,8,6,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,1,4,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,3,6,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,4,3,7,1,8,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[6,8,2,7,4,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,1,5,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,8,3,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,4,1,5,3,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,2,1,4,8,5,3,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[4,2,8,3,7,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[5,2,6,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,2,5,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,2,4,3,7,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,4,3,8,5,1,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,2,4,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,2,8,4,1,5,3,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,3,7,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,7,2,8,1,4,3,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[5,8,2,7,1,4,3,6] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,6,7,3,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,1,6,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,4,8,1,3,6,5] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[2,6,1,4,8,3,7,5] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[2,5,6,1,4,8,7,3] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[8,4,2,3,7,1,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,2,6,8,1,3,7,4] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[7,2,4,8,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,2,1,8,4,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[4,3,2,8,1,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[6,8,5,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,7,8,2,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,8,2,1,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[6,4,7,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,1,5,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,2,5,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,4,8,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,6,8,5,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,5,8,7,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,6,1,5,2,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,4,3,2,8,7,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,5,1,7,6,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,2,4,6,3,7,1,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,5,4,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,4,8,5,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,6,8,1,3,5,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,5,1,3,6,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,6,3,1,8,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[8,7,4,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,6,8,3,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,8,4,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,2,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,4,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,1,5,4,3,7] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[6,4,5,1,8,3,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,4,7,8,3,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,6,2,8,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,4,3,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,6,5,7,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,4,2,1,8,7,3,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,7,4,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,2,1,7,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,5,2,4,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,2,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,5,8,3,4,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[7,4,8,6,5,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,6,5,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,5,7,2,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,2,7,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,5,7,8,3,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,3,8,5,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,8,2,3,5,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,4,6,8,2,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,8,4,1,2,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,8,5,1,2,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,8,3,1,2,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,8,2,3,1,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,4,7,8,2,1,3,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,6,3,1,2,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,5,2,1,3,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,3,2,8,5,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[3,6,8,5,2,1,7,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,4,8,1,2,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,8,1,7,4,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,5,8,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,7,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,4,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,4,1,8,7,6,3,5] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[8,5,4,7,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,3,8,5,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,6,1,3,7,5] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,4,8,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,3,8,1,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[5,3,6,2,1,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,3,8,6,2,7,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,2,1,4,6,3,7,5] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[5,3,8,6,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,1,6,3,7,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[3,7,8,5,4,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,4,3,8,5,6] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[5,2,1,6,8,7,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,7,8,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,2,1,8,4,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,6,2,4,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,4,8,6,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,3,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,7,4,8,3,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,8,3,1,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,5,6,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,4,5,8,2,3,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,7,3,8,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,7,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,4,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,7,4,3,8,5,1,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,8,2,7,3,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,1,6,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,5,7,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,1,3,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,2,1,8,7,4,6,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,1,7,4,6,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,7,8,2,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,1,7,8,4,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,2,7,8,4,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,6,4,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,7,8,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,1,8,4,3,5,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,8,7,3,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,1,7,4,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,4,8,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,4,6,8,1,3,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[6,4,8,3,5,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,1,3,6,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,5,8,2,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,7,1,4,6,3,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[7,6,4,8,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,7,1,4,3,6] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[3,4,6,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,2,8,6,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,1,7,5,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,6,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,7,1,6,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,8,7,5,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,7,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,3,7,1,8,5,2,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,7,3,1,8,5,2,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[2,4,8,6,3,5,1,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,4,6,2,1,5,8,7] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
[5,4,7,8,1,3,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,8,5,4,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,4,7,8,1,3,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,8,3,1,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[8,7,6,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,7,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,8,5,4,3,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[5,8,6,2,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,2,1,4,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,8,6,2,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,2,1,5,8,4,3,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[2,1,7,8,4,5,6,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,2,1,4,3,7,6,5] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[2,7,1,4,8,5,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,4,6,1,3,7,5] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[8,4,6,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,2,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,2,7,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,2,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,4,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,7,8,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,1,8,3,5,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,8,2,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,2,5,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,2,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,4,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,6,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,8,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,7,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,7,8,5,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,4,8,1,3,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,3,7,8,1,5,2,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,3,6,8,1,5,2,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[5,4,6,8,3,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,8,4,5,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,7,2,8,4,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,2,8,4,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[2,4,8,3,1,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[5,4,7,8,3,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,8,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,3,8,2,6,5,7,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,4,2,3,1,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,4,5,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,8,6,2,3,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,4,2,1,8,5,3,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[4,2,6,1,5,8,3,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[6,4,2,3,5,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,8,6,4,5,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,4,6,7,1,5,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,4,1,3,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,7,4,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,8,1,3,5,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,8,1,4,5,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,7,8,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,3,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,7,5,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,8,2,7,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,4,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,1,6,5,2,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,4,8,5,7,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,4,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,7,3,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[6,5,8,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,1,8,7,6,3,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[5,6,3,8,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,3,1,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,6,2,1,5,7,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,2,8,5,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,7,2,4,1,5,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,3,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,2,1,4,3,5,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,7,1,6,3,4,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,2,8,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,8,7,5,3,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,8,7,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,3,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,5,6,3,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,6,5,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,7,3,8,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,3,8,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,6,8,1,4,7,5,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,2,1,6,7,4,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,6,1,7,4,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,8,1,6,7,5,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,2,1,6,7,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,4,6,1,7,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,4,8,1,5,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,6,8,4,1,5,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,8,6,4,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,2,6,5,7,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,7,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,6,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,6,2,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,7,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,2,8,1,7,4,3,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,6,5,8,1,2,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,4,7,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,8,1,3,7,4] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[5,3,6,8,1,2,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,5,8,3,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,5,6,8,2,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,5,8,7,1,6,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,7,5,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,1,6,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,6,4,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,1,2,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,3,7,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,2,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,5,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,7,8,1,5,3,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,7,8,4,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,7,8,4,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,5,4,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,1,2,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,1,2,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,7,4,3,5,6] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[7,2,6,8,4,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,5,8,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,1,6,3,4,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[3,8,4,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,3,7,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,5,6,8,4,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,4,5,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,8,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,1,8,6,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[7,2,5,8,1,3,6,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,3,6,7,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,5,2,1,6,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,5,6,2,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,8,4,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,3,6,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,4,8,3,1,5,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[2,6,4,1,5,8,7,3] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[3,6,4,5,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,2,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,1,2,5,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[4,7,8,5,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,2,7,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,4,6,1,7,3,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,6,3,5,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,2,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,2,5,7,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,6,3,5,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,6,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,2,6,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,3,4,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[3,4,7,8,5,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,6,4,8,7,2,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,2,4,5,1,3,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,5,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,7,8,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,1,4,6,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,8,2,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,3,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,2,1,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,8,3,5,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,5,8,3,7,1,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,8,4,3,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,1,8,6,2,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[2,6,1,8,7,4,3,5] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,1,8,6,3,7,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,8,6,4,1,7,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,8,1,7,5,3,6,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,8,2,6,3,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[6,3,8,4,5,1,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,6,1,8,5,7,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[6,3,8,4,5,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,8,7,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,4,5,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,1,6,8,5,3,7,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[6,5,8,7,4,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,7,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,3,7,6,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,6,8,5,4,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,3,2,5,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,2,8,3,5,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,2,6,8,4,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,6,3,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,7,6,3,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,1,7,5,6,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,3,8,5,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,7,5,3,6,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,1,6,7,3,5,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,8,1,7,5,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,7,8,3,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,2,1,6,8,3,5,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,6,4,1,8,3,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,8,6,3,4,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,8,2,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,3,6,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,8,5,7,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,4,6,2,3,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[6,5,7,8,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,7,6,8,4,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,4,7,3,8,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,7,4,8,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,8,6,7,5,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,7,8,6,1,4,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,8,4,7,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,1,2,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[6,3,4,8,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,7,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,5,1,4,6,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,5,8,7,4,1,6,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,6,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,1,5,4,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,7,8,1,4,5,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,6,7,8,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,7,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,6,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,2,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,4,7,8,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,7,8,2,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,1,7,5,2,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,8,2,7,5,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,6,5,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,2,6,4,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,7,2,8,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,3,6,2,8,5,1,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[4,2,7,3,8,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,7,4,8,2,1,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[4,7,5,8,3,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,4,1,5,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,2,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[7,8,6,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,2,3,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,4,3,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,8,5,7,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,8,3,7,5,6,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,3,7,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,3,7,4,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,3,8,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,2,5,6,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,2,8,4,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,3,1,5,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,7,2,8,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,1,8,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,5,6,3,1,4,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,3,8,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,3,6,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,5,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,6,8,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,4,2,1,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,2,1,5,4,3,8,7] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[6,5,2,8,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,2,8,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,5,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,4,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,7,2,8,1,6,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[7,3,4,1,8,2,6,5] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,2,8,3,6,5,7,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,8,5,7,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,4,8,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,6,3,5,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,3,6,5,4,1,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,4,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,4,3,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,2,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[3,4,2,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[4,6,7,8,2,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,2,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,8,3,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,5,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,4,8,2,3,5,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,3,1,8,4,7] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
[7,2,8,1,4,5,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,8,4,6,3,1,5,7] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,8,4,1,7,2,5,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[7,8,6,2,4,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,1,3,6,7,5] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[2,7,8,4,1,3,5,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,6,4,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,4,1,3,6,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,8,1,6,5,3,7,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,3,8,7,6,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,3,2,6,5,8,1,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
[4,3,6,5,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,5,6,4,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[5,3,6,8,1,4,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,7,2,8,3,1,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[5,6,8,2,3,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,2,1,3,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,3,2,1,4,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,3,1,7,5,6,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,4,3,1,8,5,2,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,5,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,5,6,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[7,8,3,5,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,6,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,7,1,5,6,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,5,6,2,8,1,7,4] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[6,2,5,8,4,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,5,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,6,5,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,6,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,7,1,3,5,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[5,3,8,7,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,4,5,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,6,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,8,5,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,1,5,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,6,8,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,1,7,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,5,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,2,8,7,1,4] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,8,5,2,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,7,8,5,1,2,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,7,2,5,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,5,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,5,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,7,5,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,6,5,7,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,7,1,8,5,6,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,7,8,6,1,5,3,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,6,8,2,3,5,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,5,8,6,2,1,4,7] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,7,2,4,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,3,4,6,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,6,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,4,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,3,8,6,2,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,4,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,6,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,1,3,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,4,8,7,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,6,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,4,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,6,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,6,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,5,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,7,2,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,6,7,2,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,6,4,5,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,4,6,2,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,1,3,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,1,4,7,3,6,5] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[2,6,8,5,1,7,4,3] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[2,1,5,8,7,3,6,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[4,3,1,7,8,5,2,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[5,6,8,2,4,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,2,7,8,3,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,7,1,5,3,6,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,8,4,2,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,3,2,7,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,6,8,1,5,3,4,7] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
[8,4,2,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,3,1,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,5,1,7,4,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,4,3,1,6,2,5,7] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,6,1,8,5,3,4,7] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[4,5,7,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,4,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,4,6,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,7,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,8,6,7,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,5,2,1,6,4,3,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,6,5,1,3,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,6,1,2,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,5,2,1,3,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,6,3,7,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,6,4,8,1,7,3] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,7,8,5,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,5,7,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,7,4,5,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,2,7,8,3,6,1,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,6,8,4,5,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,5,7,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,7,8,3,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,1,3,6,5] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
[8,7,2,5,1,4,3,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,4,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,2,1,7,6,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[3,8,4,2,1,7,6,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[8,4,2,7,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,7,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,4,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,7,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,1,3,5,6] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,2,8,3,1,5,6] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,4,2,8,3,5,1,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,7,8,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,1,8,6,2,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,8,6,5,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,6,8,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,2,1,3,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,5,2,1,3,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,5,6,7,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,8,4,2,3,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,5,6,4,3,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,2,4,1,6,7,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,7,3,6,2,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,6,3,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,3,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,3,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,3,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,1,7,6,3,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,2,1,8,5,6,4,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[3,6,5,1,4,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,3,5,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,5,6,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,5,6,7,1,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,5,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,1,6,7,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,4,3,7,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[4,3,1,8,6,5,7,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,8,7,1,4,5,6,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[5,4,8,7,2,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,2,1,7,4,3,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[3,6,8,4,1,7,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,1,8,4,7,6,3,5] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[8,4,2,7,6,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,7,1,5,4,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,4,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,5,1,3,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,6,8,3,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,6,5,1,4,8,7,3] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[5,8,4,7,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,3,6,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,2,8,6,7,1,3,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,8,1,6,5,7,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,4,1,3,7,8,6,5] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[8,4,6,3,7,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,6,8,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,6,8,4,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,8,7,3,5,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,8,6,2,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,6,5,7,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,2,5,1,3,4,8,7] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[2,6,5,1,3,4,8,7] => [4,6,5,1,3,2,8,7] => ([(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) => 8
[7,8,5,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,3,8,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,6,7,8,3,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,7,8,1,6,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,5,8,1,7,6,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[5,8,2,7,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,6,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,8,1,7,6,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[2,6,8,1,4,3,7,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,1,5,8,7,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,3,4,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,5,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,3,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[6,2,4,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,5,4,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,3,1,8,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,5,2,1,3,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,2,3,7,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,3,6,1,5,2,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,4,3,6,2,5,1,7] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,6,5,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,6,2,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,3,5,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,4,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,8,2,4,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,2,7,1,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,4,1,7,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,6,2,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,2,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,5,2,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,4,6,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[2,7,8,1,5,6,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,2,3,8,1,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[6,8,7,2,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,7,5,1,3,4,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[6,2,1,5,8,4,7,3] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[7,5,6,8,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,1,4,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,7,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,7,1,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,3,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,8,1,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[7,4,8,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,6,1,4,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,4,8,2,5,1,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,2,1,5,3,6,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,5,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,1,5,6,4,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,3,6,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,2,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,2,4,3,8,1,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,8,2,6,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,3,8,1,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[6,5,8,2,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,6,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,1,4,2,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,5,3,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,8,6,1,5,4,7,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,8,6,4,7,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,4,7,1,3,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,5,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,2,8,1,3,6,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,8,4,1,3,6,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,7,6,8,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,2,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,1,6,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,5,7,3,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,7,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,8,7,6,2,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
[2,8,7,5,4,1,6,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,8,7,3,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,8,3,1,4,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,7,8,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,4,2,7,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,7,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,6,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,2,5,8,1,4,6,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,7,5,8,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,5,8,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,2,1,6,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,5,4,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,4,2,7,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,3,7,6,2,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,7,2,8,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,8,5,4,3,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,4,6,3,5,1,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 27
[8,5,2,6,3,4,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,7,3,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,5,6,2,8,1,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[8,5,2,7,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,6,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,7,1,2,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,5,6,4,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,7,3,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,2,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,5,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,8,5,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,3,8,5,4,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,3,5,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,4,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,3,2,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,6,8,3,5,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,2,8,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,4,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,4,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,5,1,3,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,8,3,2,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,7,3,1,2,4,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,1,2,8,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[8,4,3,6,7,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,7,3,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,8,6,7,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,2,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,7,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,1,8,7,3,4,6] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
[7,2,4,3,8,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,4,3,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,7,6,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,8,7,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,7,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,1,5,3,7] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,7,4,5,1,3,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,7,8,3,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,4,3,6,1,7,2,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,4,2,1,3,7,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,8,5,7,3,1,4,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,8,7,3,1,4,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,2,1,3,8,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[4,5,6,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,1,6,2,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[2,7,5,8,1,3,6,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,6,5,2,1,7,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,7,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,5,8,2,6,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,2,7,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,3,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,6,7,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,1,2,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,6,2,1,4,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,3,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,8,4,5,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,4,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,7,6,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,2,7,1,5,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[2,4,3,7,8,5,6,1] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,3,5,2,1,8,4,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,1,8,7,4,6,5,3] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,8,5,1,6,4,3,7] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,4,7,1,8,3,6,5] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
[6,4,5,1,2,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,2,5,3,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,6,5,2,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,2,1,5,3,4,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[7,4,5,8,1,6,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,8,1,7,2,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,7,2,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,2,8,6,3,1,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,8,4,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,4,1,3,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,3,6,8,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,4,2,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,5,2,4,3,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,5,3,4,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,4,5,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,6,4,8,3,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[4,6,5,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,4,8,7,6,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,2,6,5,1,4,3,7] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,8,6,5,7,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,8,4,7,2,1,6,5] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[7,4,8,3,6,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,5,1,7,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,8,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,1,8,7,4,5,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,2,1,8,7,3,5,4] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[4,2,6,8,5,7,1,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,6,4,3,2,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,4,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,5,7,8,2,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,2,1,4,7] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[4,7,5,8,2,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,3,4,2,6,7,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,5,3,8,6,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,4,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,7,8,6,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,2,6,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,8,3,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[5,6,8,7,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,5,7,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,5,2,8,4,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,5,8,3,4,2,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,8,5,2,4,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,3,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,8,2,6,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[6,4,5,3,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[7,6,2,8,1,4,5,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,7,8,1,4,3,6,5] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[5,7,2,8,4,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,3,8,1,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[2,8,1,7,4,5,3,6] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,8,4,5,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,5,8,6,4,7,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[6,2,5,3,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,2,5,3,4,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,6,5,3,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[3,6,5,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[3,6,5,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,1,7,4,8,5,3,6] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[7,8,5,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,1,3,6,7,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[6,8,7,4,1,5,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,7,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,7,8,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,1,3,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,4,6,2,1,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,5,7,6,3,4,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,5,3,4,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,3,4,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,6,2,1,5,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[2,8,5,6,3,1,4,7] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,2,6,1,5,7,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,7,8,5,1,4,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,3,6,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,7,8,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,8,7,5,6,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[8,2,7,1,6,4,3,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,3,2,8,1,7,5,6] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,3,7,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,6,1,8,5,2,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
[6,2,5,1,8,7,3,4] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[5,2,8,1,7,4,6,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[7,4,6,8,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,3,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,4,8,1,3,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[6,4,5,1,2,8,7,3] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,8,7,3,1,2,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,7,8,1,4,5,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,4,3,1,2,6,5,7] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,4,3,7,2,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,2,4,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,7,5,6,2] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,4,3,7,1,5,6,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,3,4,7,2,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,2,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,3,1,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,7,6,3,1,4,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,7,2,6,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,7,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,6,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,3,6,5,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,3,7,6,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[6,3,5,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,4,8,6,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,1,3,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,3,5,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[6,4,5,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,6,4,5,1,2,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,3,4,1,6,5,7,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,1,6,5,3,8,7,4] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[3,8,6,4,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,6,2,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,6,8,5,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,5,1,3,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,7,8,4,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,8,2,1,3,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[8,4,7,2,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,2,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[5,4,8,7,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,1,5,2,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,5,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,5,4,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,3,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,6,4,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[3,7,4,8,6,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,3,1,7,6,5,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,6,8,5,2,1,7,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,7,8,2,1,3,5,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,7,8,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,3,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,1,3,8,7,4] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
[3,8,5,7,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,3,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[5,4,8,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,2,8,5,6,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,6,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[8,2,7,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,5,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,2,3,8,7,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,8,2,4,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,2,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,1,6,8,5,7] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
[4,8,2,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,4,7,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,4,6,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,4,1,3,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[8,6,4,7,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,2,1,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,5,4,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,4,8,5,3,2,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,5,4,6,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,5,6,1,2,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,6,8,7,1,4,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,2,8,1,7,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,8,4,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,2,4,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,4,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,8,6,4,3,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,6,3,4,2,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[2,5,6,4,1,3,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[4,3,6,8,5,2,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[3,6,5,8,1,7,4,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,5,8,6,2,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,5,1,6,4,8,3,7] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[4,2,3,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
[8,2,6,4,1,3,7,5] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,3,7,8,2,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,4,7,8,3,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,4,7,8,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,3,4,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,3,2,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,7,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,5,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,3,5,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,6,4,1,3,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,7,5,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,4,8,3,6,5] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
[4,6,8,2,1,5,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,4,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,6,8,3,2,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,2,7,8,3,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,2,7,8,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,7,8,4,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,3,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,6,2,8,3,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[3,7,4,8,1,6,5,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,2,6,4,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,4,7,8,6,5,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,5,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,5,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,7,3,6,5,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,7,8,6,1,4,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,7,8,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,4,1,2,7,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,6,5,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,4,2,8,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[3,4,8,6,2,1,7,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[8,4,6,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,8,6,1,7,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,6,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,8,7,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,6,4,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,1,3,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,6,8,3,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,8,7,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,1,6,3,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[3,4,7,8,6,1,2,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,1,4,7,8,6,3,5] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
[3,4,6,8,2,5,7,1] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[6,4,8,5,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,5,1,8,6,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[4,7,6,8,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,1,5,3,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,5,8,1,6,7,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[3,8,4,6,1,5,7,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[3,6,4,1,2,5,8,7] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[8,4,2,6,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,1,4,3,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,8,7,5,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,4,7,2,1,6,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,8,2,5,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,4,3,6,1,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,6,3,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,1,6,5,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,5,6,8,2,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,5,6,8,1,3,7,2] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,7,8,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,2,1,6,7,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[6,2,8,1,5,4,7,3] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,8,5,7,1,2,3,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,6,3,2,5,8,7,1] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,2,8,7,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,4,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,4,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,3,1,7,4] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,7,3,5,4,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,1,6,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,1,2,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,4,1,8,5,3,6] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[8,7,3,5,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,4,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,5,4,6,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,4,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,7,8,2,5,1,6] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[3,7,8,5,4,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,7,8,3,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,6,5,8,2,3,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,8,2,3,4,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,2,3,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[4,3,7,8,2,1,6,5] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,8,7,2,1,5,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,8,4,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,3,8,4,5,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,1,2,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,6,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,2,1,4,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,3,1,2,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,1,4,5,3,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[6,8,2,1,4,5,7,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,6,3,1,2,7,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,8,6,4,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,7,8,6,5,2] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,4,8,6,5,7,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,3,6,1,4,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,5,6,4,7,3] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[2,1,5,6,3,8,7,4] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
[8,4,7,3,1,2,6,5] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,4,8,3,6,5,7,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[4,6,7,8,5,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,2,1,8,6,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,6,2,8,4,1,7,3] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,2,8,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,4,3,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,5,8,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,6,4,1,7,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,2,6,3,1,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,6,8,1,4,3,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
[6,7,3,8,2,1,4,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,1,7,5,4,6,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[4,8,3,2,1,7,5,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
[3,4,8,1,6,7,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[3,6,7,8,4,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,1,6,7,2,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[4,8,7,3,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,4,8,3,6,7,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
[5,6,4,8,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,6,8,3,5,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,8,6,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,7,6,1,2,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,8,4,7,1,3,6,5] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[6,8,3,4,5,2,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,7,8,4,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[6,8,5,3,2,4,1,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[4,5,8,7,3,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,1,5,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,4,2,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,1,5,6,4,3,7] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,4,2,8,6,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,3,2,1,6,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,7,2,6,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,4,8,6,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,1,8,5,2,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[7,4,8,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,7,6,3,4,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[6,8,4,3,5,1,2,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,3,5,4,1,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,8,5,7,2,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,6,4,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,5,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[8,7,2,4,3,1,5,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,3,8,1,5,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,2,5,8,6,1,3,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[7,4,5,8,6,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,1,5,4,3,6] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,6,2,4,5,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,5,2,1,4,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,3,5,6,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,7,8,6,2,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,3,2,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,7,3,5,1,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,7,1,6,2,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,1,6,2,8,7,5] => [5,3,2,8,1,7,6,4] => ([(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)],8) => 13
[8,6,3,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,2,1,5,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,2,1,6,4,7,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,3,7,8,6,1,5,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[3,6,8,5,4,2,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,7,3,2,1,4,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,4,7,8,5,2,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,3,5,4,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[5,8,7,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,3,6,8,1,2,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,1,5,6,4,8,3,7] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
[7,4,3,8,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,7,2,6,1,3,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[7,6,2,8,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,1,8,5,7,2] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
[4,7,8,6,2,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,5,6,2,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,8,6,2,4,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,4,7,8,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,4,8,3,1,5,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[6,5,8,2,3,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[4,2,8,1,3,7,5,6] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
[8,2,4,1,3,7,5,6] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[4,6,8,5,1,2,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,5,2,1,6,3,4,7] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,7,5,4,1,6,3] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,4,5,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,5,3,4,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[3,8,7,5,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,8,2,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,8,6,7,5,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,5,4,6,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,6,3,1,2,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,3,1,5,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,3,1,5,7,2] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[5,3,8,6,2,4,7,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[2,5,1,6,4,3,8,7] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
[4,6,5,8,1,7,3,2] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[2,5,1,8,6,4,7,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,5,8,7,3,1,4,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 16
[8,4,7,3,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,7,3,2,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,6,8,4,2,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,6,1,2,5,7] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
[4,8,6,5,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,4,2,7,6,1,5] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,7,5,6,4,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,2,3,6,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,3,7,6,5,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[7,6,8,2,4,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,2,8,6,5,1,3,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,7,1,5,8,6,4,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,4,6,2,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,8,6,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,6,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,5,1,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[8,5,7,6,2,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,4,6,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,5,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[2,8,6,1,7,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[2,6,8,1,7,5,3,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,2,7,5,3,6,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,6,1,3,4] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[8,7,2,1,6,4,5,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,8,6,7,5,3,1,4] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,6,3,4,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,3,5,4,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,5,1,3,6,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,3,1,4,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,7,3,1,2,5,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,7,3,5,1,6,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,3,2,6,1,7,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
[4,6,8,5,3,1,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,8,4,3,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,4,2,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,5,3,1,2,7,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,6,8,5,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,1,8,6,5,3,4] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[7,6,8,2,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,2,6,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,4,8,3,5,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,3,4,1,8,2,5,6] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
[5,6,3,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
[2,8,1,5,6,4,7,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[8,7,4,2,1,6,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,3,1,8,7,2] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,6,7,4,3,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,7,2,1,3,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,1,8,2,7,5] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
[3,5,6,8,1,2,7,4] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[2,8,6,5,1,3,7,4] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[4,3,6,2,5,8,1,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[8,2,4,3,1,7,5,6] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[8,2,1,4,3,7,5,6] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
[7,6,8,2,1,5,3,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,5,1,3,7,4] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,5,6,1,3,8,2,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[7,6,4,8,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,1,6,4,7,3,5] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
[5,8,6,4,2,1,7,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,6,1,8,4,7,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[5,3,8,6,1,2,7,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,7,5,1,3,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,6,4,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,7,1,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,3,8,7,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,6,5,2,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,2,5,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,8,2,3,1,7,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[5,6,4,2,8,7,1,3] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,5,8,7,6,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,1,3,8,7,4] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
[6,2,8,5,1,3,7,4] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[3,6,5,1,8,7,4,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[2,7,1,4,8,6,5,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
[2,6,8,4,7,1,3,5] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,8,6,3,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,2,8,6,3,1,4,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[2,8,5,6,4,1,7,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[6,3,7,8,1,2,5,4] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[6,8,4,2,1,7,3,5] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,5,4,3,7,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,7,4,8,3,1,2,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[2,5,6,8,1,4,7,3] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
[8,5,7,3,4,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,4,3,5,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,5,3,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,5,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,2,3,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,5,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,7,8,5,1,4,3,6] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[8,5,6,2,4,7,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,1,6,2,5,8,7] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
[7,5,2,1,8,4,3,6] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[3,6,8,5,1,4,2,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,7,4,8,1,6,3,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,6,5,7,4,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,5,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,1,6,5,8,7,3,4] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
[2,8,7,4,1,3,6,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
[7,2,5,8,3,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,2,5,7,3,1,4,6] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,6,7,4,1,3,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,3,2,5,1,8,7] => [6,5,4,3,2,1,8,7] => ([(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) => 33
[4,8,3,2,6,5,7,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[4,8,3,6,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,4,3,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
[6,8,4,2,5,3,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,4,3,5,2,7,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,4,8,7,2,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,2,6,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,2,3,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,2,6,4,3,7,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,2,5,7,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,8,6,3,4,7,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,5,1,8,2,4,7] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
[5,8,7,3,4,2,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,5,6,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,1,6,2,5] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
[8,4,2,7,1,3,6,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,2,3,1,6,7,5] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[5,8,3,6,7,2,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,4,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,3,4,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,5,8,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,6,8,2,4,1,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,8,2,6,5,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,3,7,8,4,2,1,6] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[7,3,6,8,1,5,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,2,3,4,1,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,8,7,2,4,3,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,6,1,5,7,4,3] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
[8,7,2,6,1,4,3,5] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[4,8,2,7,5,1,6,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,6,7,1,5,3] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[4,8,2,3,7,5,1,6] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[8,7,2,4,3,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,2,4,3,5,1,7] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,6,2,8,4,5,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,5,3,1,8,7,4] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
[6,2,5,3,8,7,1,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,4,5,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,4,7,5,2,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,7,4,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,7,5,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,6,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,7,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,8,7,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,8,7,5,3,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,6,5,3,8,7,1,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[6,8,7,4,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,4,7,5,3,1,6] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[5,8,7,4,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,4,7,2,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,8,6,2,5,7,1,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,3,7,6,2,5,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,2,7,1,8,3,4,5] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,4,5,8,1,7,2,3] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[6,2,8,5,1,4,7,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,5,8,6,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,2,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
[4,2,7,8,6,3,1,5] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[8,4,6,3,5,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,2,6,7,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,8,5,7,6,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[2,5,7,8,6,4,1,3] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[8,7,4,6,2,5,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,2,4,6,3,1,7,5] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[5,6,2,4,8,7,3,1] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,5,6,2,3,7,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,3,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,6,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,4,6,5,3,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,7,3,8,5,6,2,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,3,8,7,2,5,6,1] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[7,4,2,8,5,6,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,4,8,2,6,7,5,1] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
[6,4,7,8,3,5,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,4,3,6,1,5,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,7,3,4,1,5,2,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,6,4,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,4,8,5,3,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,4,6,5,1,3,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[8,5,4,7,6,1,2,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,5,8,2,4,3,1,6] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,2,4,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,2,5,4,1,8,3,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[4,2,6,3,5,8,1,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
[8,6,2,5,7,3,4,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,3,4,8,5,1,2,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
[7,2,6,8,3,4,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,8,7,3,2,1,5,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,6,8,7,2,4,1,5] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 24
[3,6,5,2,4,8,1,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
[6,8,2,1,5,4,3,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,8,2,6,7,1,5,3] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,5,8,3,7,1,4,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,7,8,4,5,6,1,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[3,5,6,8,2,4,7,1] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 22
[4,8,7,3,2,5,6,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,8,7,3,2,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[5,6,2,8,7,4,3,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[7,8,2,6,4,3,5,1] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[4,5,8,7,2,3,6,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 24
[8,3,6,5,2,7,1,4] => [8,7,6,5,4,3,2,1] => ([],8) => 128
[6,4,5,1,8,7,3,2] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,6,2,1,7,3,5,4] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 40
[8,2,6,5,1,7,4,3] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 22
[2,6,5,4,8,7,1,3] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[4,8,3,1,7,6,2,5] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
[7,2,4,8,3,5,1,6] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 24
[5,8,6,4,3,1,7,2] => [8,7,6,5,4,3,2,1] => ([],8) => 128
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,0,3 1,8,2,6,0,0,0,7 1,14,16,16,6,18,0,14,0,0,0,0,0,0,0,35
F1=q
F2=q+q2
F3=q+2 q2+3 q4
F4=q+8 q2+2 q3+6 q4+7 q8
F5=q+14 q2+16 q3+16 q4+6 q5+18 q6+14 q8+35 q16
Description
The number of rowmotion orbits of a poset.
Rowmotion is an operation on order ideals in a poset P. It sends an order ideal I to the order ideal generated by the minimal antichain of P∖I.
Rowmotion is an operation on order ideals in a poset P. It sends an order ideal I to the order ideal generated by the minimal antichain of P∖I.
Map
Demazure product with inverse
Description
This map sends a permutation π to π−1⋆π where ⋆ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation π of length n, this poset has vertices
{(i,π(i)) : 1≤i≤n}
and the cover relation is given by (w,x)≤(y,z) if w≤y and x≤z.
For example, the permutation [3,1,5,4,2] is mapped to the poset with cover relations
{(2,1)≺(5,2), (2,1)≺(4,4), (2,1)≺(3,5), (1,3)≺(4,4), (1,3)≺(3,5)}.
For a permutation π of length n, this poset has vertices
{(i,π(i)) : 1≤i≤n}
and the cover relation is given by (w,x)≤(y,z) if w≤y and x≤z.
For example, the permutation [3,1,5,4,2] is mapped to the poset with cover relations
{(2,1)≺(5,2), (2,1)≺(4,4), (2,1)≺(3,5), (1,3)≺(4,4), (1,3)≺(3,5)}.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!