- FindStat

Identifier

Mp00064: Permutations —reverse⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00242: Dyck paths —Hessenberg poset⟶ Posets
St000069: Posets ⟶ ℤ

Values

[1] => [1] => [1,0] => ([],1) => 1

[1,2] => [2,1] => [1,1,0,0] => ([],2) => 2

[2,1] => [1,2] => [1,0,1,0] => ([(0,1)],2) => 1

[1,2,3] => [3,2,1] => [1,1,1,0,0,0] => ([],3) => 3

[1,3,2] => [2,3,1] => [1,1,0,1,0,0] => ([(1,2)],3) => 2

[2,1,3] => [3,1,2] => [1,1,1,0,0,0] => ([],3) => 3

[2,3,1] => [1,3,2] => [1,0,1,1,0,0] => ([(0,2),(1,2)],3) => 1

[3,1,2] => [2,1,3] => [1,1,0,0,1,0] => ([(0,1),(0,2)],3) => 2

[3,2,1] => [1,2,3] => [1,0,1,0,1,0] => ([(0,2),(2,1)],3) => 1

[1,2,3,4] => [4,3,2,1] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[1,2,4,3] => [3,4,2,1] => [1,1,1,0,1,0,0,0] => ([(2,3)],4) => 3

[1,3,2,4] => [4,2,3,1] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[1,3,4,2] => [2,4,3,1] => [1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4) => 2

[1,4,2,3] => [3,2,4,1] => [1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4) => 3

[1,4,3,2] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3)],4) => 2

[2,1,3,4] => [4,3,1,2] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[2,1,4,3] => [3,4,1,2] => [1,1,1,0,1,0,0,0] => ([(2,3)],4) => 3

[2,3,1,4] => [4,1,3,2] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[2,3,4,1] => [1,4,3,2] => [1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4) => 1

[2,4,1,3] => [3,1,4,2] => [1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4) => 3

[2,4,3,1] => [1,3,4,2] => [1,0,1,1,0,1,0,0] => ([(0,3),(1,2),(2,3)],4) => 1

[3,1,2,4] => [4,2,1,3] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[3,1,4,2] => [2,4,1,3] => [1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4) => 2

[3,2,1,4] => [4,1,2,3] => [1,1,1,1,0,0,0,0] => ([],4) => 4

[3,2,4,1] => [1,4,2,3] => [1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4) => 1

[3,4,1,2] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

[3,4,2,1] => [1,2,4,3] => [1,0,1,0,1,1,0,0] => ([(0,3),(1,3),(3,2)],4) => 1

[4,1,2,3] => [3,2,1,4] => [1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4) => 3

[4,1,3,2] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(3,1)],4) => 2

[4,2,1,3] => [3,1,2,4] => [1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4) => 3

[4,2,3,1] => [1,3,2,4] => [1,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1

[4,3,1,2] => [2,1,3,4] => [1,1,0,0,1,0,1,0] => ([(0,3),(3,1),(3,2)],4) => 2

[4,3,2,1] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => ([(0,3),(2,1),(3,2)],4) => 1

[1,2,3,4,5] => [5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,2,3,5,4] => [4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[1,2,4,3,5] => [5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,2,4,5,3] => [3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[1,2,5,3,4] => [4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[1,2,5,4,3] => [3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5) => 3

[1,3,2,4,5] => [5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,3,2,5,4] => [4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[1,3,4,2,5] => [5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,3,4,5,2] => [2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[1,3,5,2,4] => [4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[1,3,5,4,2] => [2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5) => 2

[1,4,2,3,5] => [5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,4,2,5,3] => [3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[1,4,3,2,5] => [5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[1,4,3,5,2] => [2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[1,4,5,2,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3

[1,4,5,3,2] => [2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2

[1,5,2,3,4] => [4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[1,5,2,4,3] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5) => 3

[1,5,3,2,4] => [4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[1,5,3,4,2] => [2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5) => 2

[1,5,4,2,3] => [3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3

[1,5,4,3,2] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 2

[2,1,3,4,5] => [5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,1,3,5,4] => [4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[2,1,4,3,5] => [5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,1,4,5,3] => [3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[2,1,5,3,4] => [4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[2,1,5,4,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5) => 3

[2,3,1,4,5] => [5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,3,1,5,4] => [4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[2,3,4,1,5] => [5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,3,4,5,1] => [1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,5,1,4] => [4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[2,3,5,4,1] => [1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[2,4,1,3,5] => [5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,4,1,5,3] => [3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[2,4,3,1,5] => [5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[2,4,3,5,1] => [1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,5,1,3] => [3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3

[2,4,5,3,1] => [1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1

[2,5,1,3,4] => [4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[2,5,1,4,3] => [3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5) => 3

[2,5,3,1,4] => [4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[2,5,3,4,1] => [1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 1

[2,5,4,1,3] => [3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3

[2,5,4,3,1] => [1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 1

[3,1,2,4,5] => [5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,1,2,5,4] => [4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[3,1,4,2,5] => [5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,1,4,5,2] => [2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[3,1,5,2,4] => [4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[3,1,5,4,2] => [2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5) => 2

[3,2,1,4,5] => [5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,2,1,5,4] => [4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4

[3,2,4,1,5] => [5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,2,4,5,1] => [1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,5,1,4] => [4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4

[3,2,5,4,1] => [1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5) => 1

[3,4,1,2,5] => [5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,4,1,5,2] => [2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[3,4,2,1,5] => [5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[3,4,2,5,1] => [1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,5,1,2] => [2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2

[3,4,5,2,1] => [1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5) => 1

[3,5,1,2,4] => [4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[3,5,1,4,2] => [2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5) => 2

>>> Load all 12256 entries. <<<

[3,5,2,1,4] => [4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4

[3,5,2,4,1] => [1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 1

[3,5,4,1,2] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2

[3,5,4,2,1] => [1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1

[4,1,2,3,5] => [5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,1,2,5,3] => [3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[4,1,3,2,5] => [5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,1,3,5,2] => [2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[4,1,5,2,3] => [3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3

[4,1,5,3,2] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2

[4,2,1,3,5] => [5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,2,1,5,3] => [3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 3

[4,2,3,1,5] => [5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,2,3,5,1] => [1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,5,1,3] => [3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3

[4,2,5,3,1] => [1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1

[4,3,1,2,5] => [5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,3,1,5,2] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 2

[4,3,2,1,5] => [5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5

[4,3,2,5,1] => [1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,5,1,2] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2

[4,3,5,2,1] => [1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5) => 1

[4,5,1,2,3] => [3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3

[4,5,1,3,2] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2

[4,5,2,1,3] => [3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3

[4,5,2,3,1] => [1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 1

[4,5,3,1,2] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(4,2),(4,3)],5) => 2

[4,5,3,2,1] => [1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1

[5,1,2,3,4] => [4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,1,2,4,3] => [3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5) => 3

[5,1,3,2,4] => [4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,1,3,4,2] => [2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 2

[5,1,4,2,3] => [3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5) => 3

[5,1,4,3,2] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

[5,2,1,3,4] => [4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,2,1,4,3] => [3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5) => 3

[5,2,3,1,4] => [4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,2,3,4,1] => [1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 1

[5,2,4,1,3] => [3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5) => 3

[5,2,4,3,1] => [1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 1

[5,3,1,2,4] => [4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,3,1,4,2] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 2

[5,3,2,1,4] => [4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4

[5,3,2,4,1] => [1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 1

[5,3,4,1,2] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2

[5,3,4,2,1] => [1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1

[5,4,1,2,3] => [3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5) => 3

[5,4,1,3,2] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2

[5,4,2,1,3] => [3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5) => 3

[5,4,2,3,1] => [1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1

[5,4,3,1,2] => [2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2

[5,4,3,2,1] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1

[1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,3,4,6,5] => [5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,2,3,5,4,6] => [6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,3,5,6,4] => [4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,2,3,6,4,5] => [5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,2,3,6,5,4] => [4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,4,3,6,5] => [5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,2,4,5,3,6] => [6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,4,5,6,3] => [3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,2,4,6,3,5] => [5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,2,4,6,5,3] => [3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[1,2,5,3,4,6] => [6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,5,3,6,4] => [4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,2,5,4,3,6] => [6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,2,5,4,6,3] => [3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,2,5,6,3,4] => [4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[1,2,5,6,4,3] => [3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[1,2,6,3,4,5] => [5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,2,6,3,5,4] => [4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,2,6,4,3,5] => [5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,2,6,4,5,3] => [3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,2,6,5,3,4] => [4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,2,6,5,4,3] => [3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,3,2,4,5,6] => [6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,2,4,6,5] => [5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,2,5,6,4] => [4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,3,2,6,4,5] => [5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,3,2,6,5,4] => [4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[1,3,4,2,5,6] => [6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,4,2,6,5] => [5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,3,4,5,2,6] => [6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,4,5,6,2] => [2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,3,4,6,2,5] => [5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,3,4,6,5,2] => [2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[1,3,5,2,4,6] => [6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,5,2,6,4] => [4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,3,5,4,2,6] => [6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,3,5,4,6,2] => [2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,3,5,6,2,4] => [4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[1,3,5,6,4,2] => [2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[1,3,6,2,4,5] => [5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,3,6,2,5,4] => [4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,3,6,4,2,5] => [5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,3,6,4,5,2] => [2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[1,3,6,5,2,4] => [4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,3,6,5,4,2] => [2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2

[1,4,2,3,5,6] => [6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,2,3,6,5] => [5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,2,5,6,3] => [3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,4,2,6,3,5] => [5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,4,2,6,5,3] => [3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[1,4,3,2,5,6] => [6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,3,2,6,5] => [5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[1,4,3,5,2,6] => [6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,3,5,6,2] => [2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,4,3,6,2,5] => [5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[1,4,3,6,5,2] => [2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[1,4,5,2,3,6] => [6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,5,2,6,3] => [3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,4,5,3,2,6] => [6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,4,5,3,6,2] => [2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,4,5,6,2,3] => [3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[1,4,5,6,3,2] => [2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[1,4,6,2,3,5] => [5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,4,6,2,5,3] => [3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,4,6,3,2,5] => [5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[1,4,6,3,5,2] => [2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[1,4,6,5,2,3] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,4,6,5,3,2] => [2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2

[1,5,2,3,4,6] => [6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,2,3,6,4] => [4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,5,2,4,3,6] => [6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,2,4,6,3] => [3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,5,2,6,3,4] => [4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[1,5,2,6,4,3] => [3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[1,5,3,2,4,6] => [6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,3,2,6,4] => [4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[1,5,3,4,2,6] => [6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,3,4,6,2] => [2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,5,3,6,2,4] => [4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[1,5,3,6,4,2] => [2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[1,5,4,2,3,6] => [6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,4,2,6,3] => [3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[1,5,4,3,6,2] => [2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[1,5,4,6,2,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[1,5,4,6,3,2] => [2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[1,5,6,2,3,4] => [4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,5,6,2,4,3] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,5,6,3,2,4] => [4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[1,5,6,3,4,2] => [2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2

[1,5,6,4,2,3] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[1,5,6,4,3,2] => [2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 2

[1,6,2,3,4,5] => [5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,2,3,5,4] => [4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,2,4,3,5] => [5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,2,4,5,3] => [3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[1,6,2,5,3,4] => [4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,2,5,4,3] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3

[1,6,3,2,4,5] => [5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,3,2,5,4] => [4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,3,4,2,5] => [5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,3,4,5,2] => [2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[1,6,3,5,2,4] => [4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,3,5,4,2] => [2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 2

[1,6,4,2,3,5] => [5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,4,2,5,3] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[1,6,4,3,2,5] => [5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[1,6,4,3,5,2] => [2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[1,6,4,5,2,3] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3

[1,6,4,5,3,2] => [2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 2

[1,6,5,2,3,4] => [4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,5,2,4,3] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 3

[1,6,5,3,2,4] => [4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[1,6,5,3,4,2] => [2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 2

[1,6,5,4,2,3] => [3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 3

[1,6,5,4,3,2] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 2

[2,1,3,4,5,6] => [6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,3,4,6,5] => [5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,1,3,5,4,6] => [6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,3,5,6,4] => [4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,1,3,6,4,5] => [5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,1,3,6,5,4] => [4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[2,1,4,3,5,6] => [6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,4,3,6,5] => [5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,1,4,5,3,6] => [6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,4,5,6,3] => [3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,1,4,6,3,5] => [5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,1,4,6,5,3] => [3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[2,1,5,3,4,6] => [6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,5,3,6,4] => [4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,1,5,4,3,6] => [6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,1,5,4,6,3] => [3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,1,5,6,3,4] => [4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[2,1,5,6,4,3] => [3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[2,1,6,3,4,5] => [5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,1,6,3,5,4] => [4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,1,6,4,3,5] => [5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,1,6,4,5,3] => [3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,1,6,5,3,4] => [4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,1,6,5,4,3] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,3,1,4,5,6] => [6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,1,4,6,5] => [5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,3,1,5,4,6] => [6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,1,5,6,4] => [4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,3,1,6,4,5] => [5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,3,1,6,5,4] => [4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[2,3,4,1,5,6] => [6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,4,1,6,5] => [5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,4,5,6,1] => [1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,4,6,1,5] => [5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,3,4,6,5,1] => [1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[2,3,5,1,4,6] => [6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,5,1,6,4] => [4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,3,5,4,1,6] => [6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,3,5,4,6,1] => [1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,5,6,1,4] => [4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[2,3,5,6,4,1] => [1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[2,3,6,1,4,5] => [5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,3,6,1,5,4] => [4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,3,6,4,1,5] => [5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,3,6,4,5,1] => [1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[2,3,6,5,1,4] => [4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,3,6,5,4,1] => [1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[2,4,1,3,5,6] => [6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,1,3,6,5] => [5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,4,1,5,3,6] => [6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,1,5,6,3] => [3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,4,1,6,3,5] => [5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,4,1,6,5,3] => [3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[2,4,3,1,5,6] => [6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,3,1,6,5] => [5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[2,4,3,5,1,6] => [6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,3,5,6,1] => [1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,3,6,1,5] => [5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[2,4,3,6,5,1] => [1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[2,4,5,1,3,6] => [6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,5,1,6,3] => [3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,4,5,3,1,6] => [6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,4,5,3,6,1] => [1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,5,6,1,3] => [3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[2,4,5,6,3,1] => [1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[2,4,6,1,3,5] => [5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,4,6,1,5,3] => [3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,4,6,3,1,5] => [5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[2,4,6,3,5,1] => [1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[2,4,6,5,1,3] => [3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,4,6,5,3,1] => [1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[2,5,1,3,4,6] => [6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,1,3,6,4] => [4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,5,1,4,3,6] => [6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,1,4,6,3] => [3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,5,1,6,3,4] => [4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[2,5,1,6,4,3] => [3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[2,5,3,1,4,6] => [6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,3,1,6,4] => [4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[2,5,3,4,1,6] => [6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,3,4,6,1] => [1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,3,6,1,4] => [4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[2,5,3,6,4,1] => [1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[2,5,4,1,3,6] => [6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,4,1,6,3] => [3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[2,5,4,3,1,6] => [6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[2,5,4,3,6,1] => [1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,4,6,1,3] => [3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[2,5,4,6,3,1] => [1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[2,5,6,1,3,4] => [4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,5,6,1,4,3] => [3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,5,6,3,1,4] => [4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[2,5,6,3,4,1] => [1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[2,5,6,4,1,3] => [3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[2,5,6,4,3,1] => [1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[2,6,1,3,4,5] => [5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,1,3,5,4] => [4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,1,4,3,5] => [5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,1,4,5,3] => [3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[2,6,1,5,3,4] => [4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,1,5,4,3] => [3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3

[2,6,3,1,4,5] => [5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,3,1,5,4] => [4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,3,4,1,5] => [5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,3,4,5,1] => [1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[2,6,3,5,1,4] => [4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,3,5,4,1] => [1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[2,6,4,1,3,5] => [5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,4,1,5,3] => [3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[2,6,4,3,1,5] => [5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[2,6,4,3,5,1] => [1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[2,6,4,5,1,3] => [3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3

[2,6,4,5,3,1] => [1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1

[2,6,5,1,3,4] => [4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,5,1,4,3] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 3

[2,6,5,3,1,4] => [4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[2,6,5,3,4,1] => [1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[2,6,5,4,1,3] => [3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 3

[2,6,5,4,3,1] => [1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 1

[3,1,2,4,5,6] => [6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,2,4,6,5] => [5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,1,2,5,4,6] => [6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,2,5,6,4] => [4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,1,2,6,4,5] => [5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,1,2,6,5,4] => [4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[3,1,4,2,5,6] => [6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,4,2,6,5] => [5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,1,4,5,2,6] => [6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,4,5,6,2] => [2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,1,4,6,2,5] => [5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,1,4,6,5,2] => [2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[3,1,5,2,4,6] => [6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,5,2,6,4] => [4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,1,5,4,2,6] => [6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,1,5,4,6,2] => [2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,1,5,6,2,4] => [4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[3,1,5,6,4,2] => [2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,1,6,2,4,5] => [5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,1,6,2,5,4] => [4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,1,6,4,2,5] => [5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,1,6,4,5,2] => [2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[3,1,6,5,2,4] => [4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,1,6,5,4,2] => [2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2

[3,2,1,4,5,6] => [6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,1,4,6,5] => [5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,2,1,5,4,6] => [6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,1,5,6,4] => [4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,2,1,6,4,5] => [5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,2,1,6,5,4] => [4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4

[3,2,4,1,5,6] => [6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,4,1,6,5] => [5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,4,5,6,1] => [1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,4,6,1,5] => [5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,2,4,6,5,1] => [1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[3,2,5,1,4,6] => [6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,5,1,6,4] => [4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,2,5,4,1,6] => [6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,2,5,4,6,1] => [1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,5,6,1,4] => [4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[3,2,5,6,4,1] => [1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[3,2,6,1,4,5] => [5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,2,6,1,5,4] => [4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,2,6,4,1,5] => [5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,2,6,4,5,1] => [1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[3,2,6,5,1,4] => [4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,2,6,5,4,1] => [1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[3,4,1,2,5,6] => [6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,1,2,6,5] => [5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,4,1,5,2,6] => [6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,1,5,6,2] => [2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,4,1,6,2,5] => [5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,4,1,6,5,2] => [2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[3,4,2,1,5,6] => [6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,2,1,6,5] => [5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,2,5,6,1] => [1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,2,6,1,5] => [5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[3,4,2,6,5,1] => [1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[3,4,5,1,2,6] => [6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,5,1,6,2] => [2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,4,5,2,6,1] => [1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,5,6,1,2] => [2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,4,5,6,2,1] => [1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[3,4,6,1,2,5] => [5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,4,6,1,5,2] => [2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[3,4,6,2,1,5] => [5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[3,4,6,2,5,1] => [1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[3,4,6,5,1,2] => [2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2

[3,4,6,5,2,1] => [1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 1

[3,5,1,2,4,6] => [6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,1,2,6,4] => [4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,5,1,4,2,6] => [6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,1,4,6,2] => [2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,5,1,6,2,4] => [4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[3,5,1,6,4,2] => [2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,5,2,1,4,6] => [6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,2,1,6,4] => [4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[3,5,2,4,1,6] => [6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,2,4,6,1] => [1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,5,2,6,1,4] => [4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[3,5,2,6,4,1] => [1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[3,5,4,1,2,6] => [6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,4,1,6,2] => [2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[3,5,4,2,1,6] => [6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[3,5,4,2,6,1] => [1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,5,4,6,1,2] => [2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,5,4,6,2,1] => [1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[3,5,6,1,2,4] => [4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,5,6,1,4,2] => [2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2

[3,5,6,2,1,4] => [4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[3,5,6,2,4,1] => [1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[3,5,6,4,1,2] => [2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,5,6,4,2,1] => [1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1

[3,6,1,2,4,5] => [5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,1,2,5,4] => [4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,1,4,2,5] => [5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,1,4,5,2] => [2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[3,6,1,5,2,4] => [4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,1,5,4,2] => [2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 2

[3,6,2,1,4,5] => [5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,2,1,5,4] => [4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,2,4,1,5] => [5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,2,4,5,1] => [1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[3,6,2,5,1,4] => [4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,2,5,4,1] => [1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[3,6,4,1,2,5] => [5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,4,1,5,2] => [2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[3,6,4,2,1,5] => [5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[3,6,4,2,5,1] => [1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[3,6,4,5,1,2] => [2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2

[3,6,4,5,2,1] => [1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1

[3,6,5,1,2,4] => [4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,5,1,4,2] => [2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 2

[3,6,5,2,1,4] => [4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[3,6,5,2,4,1] => [1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[3,6,5,4,1,2] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 2

[3,6,5,4,2,1] => [1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 1

[4,1,2,3,5,6] => [6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,2,3,6,5] => [5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,1,2,5,3,6] => [6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,2,5,6,3] => [3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,1,2,6,3,5] => [5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,1,2,6,5,3] => [3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[4,1,3,2,5,6] => [6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,3,2,6,5] => [5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,1,3,5,2,6] => [6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,3,5,6,2] => [2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,1,3,6,2,5] => [5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,1,3,6,5,2] => [2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[4,1,5,2,3,6] => [6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,5,2,6,3] => [3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,1,5,3,2,6] => [6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,1,5,3,6,2] => [2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,1,5,6,2,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[4,1,5,6,3,2] => [2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[4,1,6,2,3,5] => [5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,1,6,2,5,3] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,1,6,3,2,5] => [5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,1,6,3,5,2] => [2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[4,1,6,5,2,3] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,1,6,5,3,2] => [2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2

[4,2,1,3,5,6] => [6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,1,3,6,5] => [5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,2,1,5,3,6] => [6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,1,5,6,3] => [3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,2,1,6,3,5] => [5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,2,1,6,5,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 3

[4,2,3,1,5,6] => [6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,3,1,6,5] => [5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,2,3,5,1,6] => [6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,3,5,6,1] => [1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,3,6,1,5] => [5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,2,3,6,5,1] => [1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[4,2,5,1,3,6] => [6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,5,1,6,3] => [3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,2,5,3,1,6] => [6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,2,5,3,6,1] => [1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,5,6,1,3] => [3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[4,2,5,6,3,1] => [1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[4,2,6,1,3,5] => [5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,2,6,1,5,3] => [3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,2,6,3,1,5] => [5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,2,6,3,5,1] => [1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[4,2,6,5,1,3] => [3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,2,6,5,3,1] => [1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[4,3,1,2,5,6] => [6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,1,2,6,5] => [5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,3,1,5,2,6] => [6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,1,5,6,2] => [2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,3,1,6,2,5] => [5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,3,1,6,5,2] => [2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2

[4,3,2,1,5,6] => [6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,2,1,6,5] => [5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5

[4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,2,5,6,1] => [1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,2,6,1,5] => [5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5

[4,3,2,6,5,1] => [1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1

[4,3,5,1,2,6] => [6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,5,1,6,2] => [2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,3,5,2,6,1] => [1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,5,6,1,2] => [2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[4,3,5,6,2,1] => [1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[4,3,6,1,2,5] => [5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,3,6,1,5,2] => [2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2

[4,3,6,2,1,5] => [5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5

[4,3,6,2,5,1] => [1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1

[4,3,6,5,1,2] => [2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2

[4,3,6,5,2,1] => [1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 1

[4,5,1,2,3,6] => [6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,1,2,6,3] => [3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,5,1,3,2,6] => [6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,1,3,6,2] => [2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,5,1,6,2,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[4,5,1,6,3,2] => [2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[4,5,2,1,3,6] => [6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,2,1,6,3] => [3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[4,5,2,3,1,6] => [6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,2,3,6,1] => [1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,2,6,1,3] => [3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[4,5,2,6,3,1] => [1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[4,5,3,1,2,6] => [6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,3,1,6,2] => [2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[4,5,3,2,6,1] => [1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,3,6,1,2] => [2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[4,5,3,6,2,1] => [1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[4,5,6,1,2,3] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,5,6,1,3,2] => [2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2

[4,5,6,2,1,3] => [3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,5,6,2,3,1] => [1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[4,5,6,3,1,2] => [2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 2

[4,5,6,3,2,1] => [1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1

[4,6,1,2,3,5] => [5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,1,2,5,3] => [3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[4,6,1,3,2,5] => [5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,1,3,5,2] => [2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[4,6,1,5,2,3] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3

[4,6,1,5,3,2] => [2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 2

[4,6,2,1,3,5] => [5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,2,1,5,3] => [3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 3

[4,6,2,3,1,5] => [5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,2,3,5,1] => [1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[4,6,2,5,1,3] => [3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3

[4,6,2,5,3,1] => [1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1

[4,6,3,1,2,5] => [5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,3,1,5,2] => [2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2

[4,6,3,2,1,5] => [5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5

[4,6,3,2,5,1] => [1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[4,6,3,5,1,2] => [2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2

[4,6,3,5,2,1] => [1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1

[4,6,5,1,2,3] => [3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,6,5,1,3,2] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 2

[4,6,5,2,1,3] => [3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[4,6,5,2,3,1] => [1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[4,6,5,3,1,2] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 2

[4,6,5,3,2,1] => [1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1

[5,1,2,3,4,6] => [6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,2,3,6,4] => [4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,1,2,4,3,6] => [6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,2,4,6,3] => [3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,1,2,6,3,4] => [4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,1,2,6,4,3] => [3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,1,3,2,4,6] => [6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,3,2,6,4] => [4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,1,3,4,2,6] => [6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,3,4,6,2] => [2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,1,3,6,2,4] => [4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,1,3,6,4,2] => [2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,1,4,2,3,6] => [6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,4,2,6,3] => [3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,1,4,3,2,6] => [6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,1,4,3,6,2] => [2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,1,4,6,2,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,1,4,6,3,2] => [2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,1,6,2,3,4] => [4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,1,6,2,4,3] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,1,6,3,2,4] => [4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,1,6,3,4,2] => [2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2

[5,1,6,4,2,3] => [3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,1,6,4,3,2] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 2

[5,2,1,3,4,6] => [6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,1,3,6,4] => [4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,2,1,4,3,6] => [6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,1,4,6,3] => [3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,2,1,6,3,4] => [4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,2,1,6,4,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,2,3,1,4,6] => [6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,3,1,6,4] => [4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,2,3,4,1,6] => [6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,3,4,6,1] => [1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,3,6,1,4] => [4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,2,3,6,4,1] => [1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[5,2,4,1,3,6] => [6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,4,1,6,3] => [3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,2,4,3,1,6] => [6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,2,4,3,6,1] => [1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,4,6,1,3] => [3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,2,4,6,3,1] => [1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[5,2,6,1,3,4] => [4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,2,6,1,4,3] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,2,6,3,1,4] => [4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,2,6,3,4,1] => [1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[5,2,6,4,1,3] => [3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,2,6,4,3,1] => [1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[5,3,1,2,4,6] => [6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,1,2,6,4] => [4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,3,1,4,2,6] => [6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,1,4,6,2] => [2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,3,1,6,2,4] => [4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,3,1,6,4,2] => [2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,3,2,1,4,6] => [6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,2,1,6,4] => [4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 4

[5,3,2,4,1,6] => [6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,2,4,6,1] => [1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,2,6,1,4] => [4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4

[5,3,2,6,4,1] => [1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 1

[5,3,4,1,2,6] => [6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,4,1,6,2] => [2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,3,4,2,1,6] => [6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,3,4,2,6,1] => [1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,4,6,1,2] => [2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,3,4,6,2,1] => [1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[5,3,6,1,2,4] => [4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,3,6,1,4,2] => [2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2

[5,3,6,2,1,4] => [4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4

[5,3,6,2,4,1] => [1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 1

[5,3,6,4,1,2] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,3,6,4,2,1] => [1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1

[5,4,1,2,3,6] => [6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,1,2,6,3] => [3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,4,1,3,2,6] => [6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,1,3,6,2] => [2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,4,1,6,2,3] => [3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,4,1,6,3,2] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,4,2,1,3,6] => [6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,2,1,6,3] => [3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 3

[5,4,2,3,1,6] => [6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,2,3,6,1] => [1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,2,6,1,3] => [3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3

[5,4,2,6,3,1] => [1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[5,4,3,1,2,6] => [6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,3,1,6,2] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2

[5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6

[5,4,3,2,6,1] => [1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,3,6,1,2] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[5,4,3,6,2,1] => [1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[5,4,6,1,2,3] => [3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,4,6,1,3,2] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2

[5,4,6,2,1,3] => [3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[5,4,6,2,3,1] => [1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[5,4,6,3,1,2] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 2

[5,4,6,3,2,1] => [1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1

[5,6,1,2,3,4] => [4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,1,2,4,3] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3

[5,6,1,3,2,4] => [4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,1,3,4,2] => [2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 2

[5,6,1,4,2,3] => [3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 3

[5,6,1,4,3,2] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 2

[5,6,2,1,3,4] => [4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,2,1,4,3] => [3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3

[5,6,2,3,1,4] => [4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,2,3,4,1] => [1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[5,6,2,4,1,3] => [3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 3

[5,6,2,4,3,1] => [1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 1

[5,6,3,1,2,4] => [4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,3,1,4,2] => [2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 2

[5,6,3,2,1,4] => [4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4

[5,6,3,2,4,1] => [1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[5,6,3,4,1,2] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 2

[5,6,3,4,2,1] => [1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 1

[5,6,4,1,2,3] => [3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 3

[5,6,4,1,3,2] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 2

[5,6,4,2,1,3] => [3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 3

[5,6,4,2,3,1] => [1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1

[5,6,4,3,1,2] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2

[5,6,4,3,2,1] => [1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1

[6,1,2,3,4,5] => [5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,2,3,5,4] => [4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,1,2,4,3,5] => [5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,2,4,5,3] => [3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,1,2,5,3,4] => [4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,1,2,5,4,3] => [3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3

[6,1,3,2,4,5] => [5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,3,2,5,4] => [4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,1,3,4,2,5] => [5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,3,4,5,2] => [2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,1,3,5,2,4] => [4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,1,3,5,4,2] => [2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 2

[6,1,4,2,3,5] => [5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,4,2,5,3] => [3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,1,4,3,2,5] => [5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,1,4,3,5,2] => [2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,1,4,5,2,3] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3

[6,1,4,5,3,2] => [2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[6,1,5,2,3,4] => [4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,1,5,2,4,3] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 3

[6,1,5,3,2,4] => [4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,1,5,3,4,2] => [2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2

[6,1,5,4,2,3] => [3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 3

[6,1,5,4,3,2] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2

[6,2,1,3,4,5] => [5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,1,3,5,4] => [4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,2,1,4,3,5] => [5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,1,4,5,3] => [3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,2,1,5,3,4] => [4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,2,1,5,4,3] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3

[6,2,3,1,4,5] => [5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,3,1,5,4] => [4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,2,3,4,1,5] => [5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,2,3,5,1,4] => [4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,2,3,5,4,1] => [1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 1

[6,2,4,1,3,5] => [5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,4,1,5,3] => [3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,2,4,3,1,5] => [5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,2,4,3,5,1] => [1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,2,4,5,1,3] => [3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3

[6,2,4,5,3,1] => [1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1

[6,2,5,1,3,4] => [4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,2,5,1,4,3] => [3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 3

[6,2,5,3,1,4] => [4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,2,5,3,4,1] => [1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1

[6,2,5,4,1,3] => [3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 3

[6,2,5,4,3,1] => [1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1

[6,3,1,2,4,5] => [5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,1,2,5,4] => [4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,3,1,4,2,5] => [5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,1,4,5,2] => [2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,3,1,5,2,4] => [4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,3,1,5,4,2] => [2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 2

[6,3,2,1,4,5] => [5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,2,1,5,4] => [4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4

[6,3,2,4,1,5] => [5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,2,4,5,1] => [1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,3,2,5,1,4] => [4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4

[6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 1

[6,3,4,1,2,5] => [5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,4,1,5,2] => [2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,3,4,2,1,5] => [5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,3,4,2,5,1] => [1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,3,4,5,1,2] => [2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[6,3,4,5,2,1] => [1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1

[6,3,5,1,2,4] => [4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,3,5,1,4,2] => [2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2

[6,3,5,2,1,4] => [4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4

[6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1

[6,3,5,4,1,2] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2

[6,3,5,4,2,1] => [1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 1

[6,4,1,2,3,5] => [5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,1,2,5,3] => [3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,4,1,3,2,5] => [5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,1,3,5,2] => [2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,4,1,5,2,3] => [3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3

[6,4,1,5,3,2] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[6,4,2,1,3,5] => [5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,2,1,5,3] => [3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 3

[6,4,2,3,1,5] => [5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,2,3,5,1] => [1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,4,2,5,1,3] => [3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3

[6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1

[6,4,3,1,2,5] => [5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,3,1,5,2] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 2

[6,4,3,2,1,5] => [5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5

[6,4,3,2,5,1] => [1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,4,3,5,1,2] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2

[6,4,3,5,2,1] => [1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1

[6,4,5,1,2,3] => [3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[6,4,5,1,3,2] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2

[6,4,5,2,1,3] => [3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3

[6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[6,4,5,3,1,2] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2

[6,4,5,3,2,1] => [1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1

[6,5,1,2,3,4] => [4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,1,2,4,3] => [3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 3

[6,5,1,3,2,4] => [4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,1,3,4,2] => [2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 2

[6,5,1,4,2,3] => [3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 3

[6,5,1,4,3,2] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2

[6,5,2,1,3,4] => [4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,2,1,4,3] => [3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 3

[6,5,2,3,1,4] => [4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,2,3,4,1] => [1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1

[6,5,2,4,1,3] => [3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 3

[6,5,2,4,3,1] => [1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1

[6,5,3,1,2,4] => [4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,3,1,4,2] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 2

[6,5,3,2,1,4] => [4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4

[6,5,3,2,4,1] => [1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1

[6,5,3,4,1,2] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2

[6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1

[6,5,4,1,2,3] => [3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3

[6,5,4,1,3,2] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2

[6,5,4,2,1,3] => [3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3

[6,5,4,2,3,1] => [1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1

[6,5,4,3,1,2] => [2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2

[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1

[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,3,4,7,5,6] => [6,5,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,3,5,7,4,6] => [6,4,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,3,5,7,6,4] => [4,6,7,5,3,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,2,3,6,4,5,7] => [7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,6,4,7,5] => [5,7,4,6,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,3,6,5,7,4] => [4,7,5,6,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,3,6,7,4,5] => [5,4,7,6,3,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,2,3,6,7,5,4] => [4,5,7,6,3,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,2,3,7,4,5,6] => [6,5,4,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,3,7,4,6,5] => [5,6,4,7,3,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,3,7,5,4,6] => [6,4,5,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,3,7,5,6,4] => [4,6,5,7,3,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,3,7,6,4,5] => [5,4,6,7,3,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,4,3,7,5,6] => [6,5,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,4,3,7,6,5] => [5,6,7,3,4,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,4,5,7,3,6] => [6,3,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,4,5,7,6,3] => [3,6,7,5,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,2,4,6,3,5,7] => [7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,6,3,7,5] => [5,7,3,6,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,4,6,5,3,7] => [7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,4,6,7,3,5] => [5,3,7,6,4,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,2,4,6,7,5,3] => [3,5,7,6,4,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,2,4,7,3,5,6] => [6,5,3,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,4,7,3,6,5] => [5,6,3,7,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,4,7,5,3,6] => [6,3,5,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,4,7,5,6,3] => [3,6,5,7,4,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,4,7,6,3,5] => [5,3,6,7,4,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,4,7,6,5,3] => [3,5,6,7,4,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,5,3,4,6,7] => [7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,3,4,7,6] => [6,7,4,3,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,5,3,6,4,7] => [7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,3,6,7,4] => [4,7,6,3,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,5,3,7,4,6] => [6,4,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,5,3,7,6,4] => [4,6,7,3,5,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,4,3,7,6] => [6,7,3,4,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,2,5,4,6,3,7] => [7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,4,6,7,3] => [3,7,6,4,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,5,4,7,3,6] => [6,3,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,2,5,4,7,6,3] => [3,6,7,4,5,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,2,5,6,3,4,7] => [7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,6,3,7,4] => [4,7,3,6,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,5,6,4,3,7] => [7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,5,6,7,3,4] => [4,3,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,2,5,6,7,4,3] => [3,4,7,6,5,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,2,5,7,3,4,6] => [6,4,3,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,5,7,3,6,4] => [4,6,3,7,5,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,5,7,4,3,6] => [6,3,4,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,2,5,7,4,6,3] => [3,6,4,7,5,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,5,7,6,3,4] => [4,3,6,7,5,2,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,5,7,6,4,3] => [3,4,6,7,5,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,6,3,4,5,7] => [7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,3,4,7,5] => [5,7,4,3,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,6,3,5,4,7] => [7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,3,5,7,4] => [4,7,5,3,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,6,3,7,4,5] => [5,4,7,3,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,2,6,3,7,5,4] => [4,5,7,3,6,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,2,6,4,3,5,7] => [7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,4,3,7,5] => [5,7,3,4,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,2,6,4,5,3,7] => [7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,4,5,7,3] => [3,7,5,4,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,6,4,7,3,5] => [5,3,7,4,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,2,6,4,7,5,3] => [3,5,7,4,6,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,2,6,5,3,4,7] => [7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,5,3,7,4] => [4,7,3,5,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,2,6,5,4,7,3] => [3,7,4,5,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,2,6,5,7,3,4] => [4,3,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,2,6,5,7,4,3] => [3,4,7,5,6,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,2,6,7,3,4,5] => [5,4,3,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,6,7,3,5,4] => [4,5,3,7,6,2,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,6,7,4,3,5] => [5,3,4,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,2,6,7,4,5,3] => [3,5,4,7,6,2,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,6,7,5,3,4] => [4,3,5,7,6,2,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,2,6,7,5,4,3] => [3,4,5,7,6,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,2,7,3,4,5,6] => [6,5,4,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,3,4,6,5] => [5,6,4,3,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,3,5,4,6] => [6,4,5,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,3,5,6,4] => [4,6,5,3,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,3,6,4,5] => [5,4,6,3,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,3,6,5,4] => [4,5,6,3,7,2,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,4,3,5,6] => [6,5,3,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,4,3,6,5] => [5,6,3,4,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,4,5,3,6] => [6,3,5,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,4,5,6,3] => [3,6,5,4,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,2,7,4,6,3,5] => [5,3,6,4,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,4,6,5,3] => [3,5,6,4,7,2,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[1,2,7,5,3,4,6] => [6,4,3,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,5,3,6,4] => [4,6,3,5,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,5,4,3,6] => [6,3,4,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,2,7,5,4,6,3] => [3,6,4,5,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,2,7,5,6,3,4] => [4,3,6,5,7,2,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,5,6,4,3] => [3,4,6,5,7,2,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[1,2,7,6,3,4,5] => [5,4,3,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,6,3,5,4] => [4,5,3,6,7,2,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,6,4,3,5] => [5,3,4,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,2,7,6,4,5,3] => [3,5,4,6,7,2,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[1,2,7,6,5,3,4] => [4,3,5,6,7,2,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,2,7,6,5,4,3] => [3,4,5,6,7,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,2,4,7,5,6] => [6,5,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,2,4,7,6,5] => [5,6,7,4,2,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,2,5,7,4,6] => [6,4,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,2,5,7,6,4] => [4,6,7,5,2,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,3,2,6,4,5,7] => [7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,6,4,7,5] => [5,7,4,6,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,2,6,5,4,7] => [7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,2,6,5,7,4] => [4,7,5,6,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,2,6,7,4,5] => [5,4,7,6,2,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,3,2,6,7,5,4] => [4,5,7,6,2,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,3,2,7,4,5,6] => [6,5,4,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,2,7,4,6,5] => [5,6,4,7,2,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,2,7,5,4,6] => [6,4,5,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,2,7,5,6,4] => [4,6,5,7,2,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,2,7,6,4,5] => [5,4,6,7,2,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,2,7,6,5,4] => [4,5,6,7,2,3,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,4,2,7,5,6] => [6,5,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,4,2,7,6,5] => [5,6,7,2,4,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,4,5,7,2,6] => [6,2,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,3,4,6,2,5,7] => [7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,6,2,7,5] => [5,7,2,6,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,4,6,5,2,7] => [7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,4,6,5,7,2] => [2,7,5,6,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,4,6,7,2,5] => [5,2,7,6,4,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,3,4,7,2,5,6] => [6,5,2,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,4,7,2,6,5] => [5,6,2,7,4,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,4,7,5,2,6] => [6,2,5,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,4,7,5,6,2] => [2,6,5,7,4,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,3,4,7,6,2,5] => [5,2,6,7,4,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,3,5,2,4,6,7] => [7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,2,4,7,6] => [6,7,4,2,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,5,2,6,4,7] => [7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,2,6,7,4] => [4,7,6,2,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,5,2,7,4,6] => [6,4,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,5,2,7,6,4] => [4,6,7,2,5,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,3,5,4,2,6,7] => [7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,4,2,7,6] => [6,7,2,4,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,3,5,4,6,2,7] => [7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,4,6,7,2] => [2,7,6,4,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,5,4,7,2,6] => [6,2,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,3,5,4,7,6,2] => [2,6,7,4,5,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,3,5,6,2,4,7] => [7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,6,2,7,4] => [4,7,2,6,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,5,6,4,2,7] => [7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,5,6,4,7,2] => [2,7,4,6,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,5,6,7,2,4] => [4,2,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,3,5,7,2,4,6] => [6,4,2,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,5,7,2,6,4] => [4,6,2,7,5,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,5,7,4,2,6] => [6,2,4,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,3,5,7,4,6,2] => [2,6,4,7,5,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,3,5,7,6,2,4] => [4,2,6,7,5,3,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,5,7,6,4,2] => [2,4,6,7,5,3,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,3,6,2,4,5,7] => [7,5,4,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,2,4,7,5] => [5,7,4,2,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,6,2,5,4,7] => [7,4,5,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,2,5,7,4] => [4,7,5,2,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,6,2,7,4,5] => [5,4,7,2,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,3,6,2,7,5,4] => [4,5,7,2,6,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,3,6,4,2,5,7] => [7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,4,2,7,5] => [5,7,2,4,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,3,6,4,5,2,7] => [7,2,5,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,4,5,7,2] => [2,7,5,4,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,6,4,7,2,5] => [5,2,7,4,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,3,6,4,7,5,2] => [2,5,7,4,6,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,3,6,5,2,4,7] => [7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,5,2,7,4] => [4,7,2,5,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,3,6,5,4,2,7] => [7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,3,6,5,4,7,2] => [2,7,4,5,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,3,6,5,7,2,4] => [4,2,7,5,6,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,3,6,5,7,4,2] => [2,4,7,5,6,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,3,6,7,2,4,5] => [5,4,2,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,6,7,2,5,4] => [4,5,2,7,6,3,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,6,7,4,2,5] => [5,2,4,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,3,6,7,4,5,2] => [2,5,4,7,6,3,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,3,6,7,5,2,4] => [4,2,5,7,6,3,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,3,6,7,5,4,2] => [2,4,5,7,6,3,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[1,3,7,2,4,5,6] => [6,5,4,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,2,4,6,5] => [5,6,4,2,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,2,5,4,6] => [6,4,5,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,2,5,6,4] => [4,6,5,2,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,2,6,4,5] => [5,4,6,2,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,2,6,5,4] => [4,5,6,2,7,3,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,4,2,5,6] => [6,5,2,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,4,2,6,5] => [5,6,2,4,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,4,5,2,6] => [6,2,5,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,4,5,6,2] => [2,6,5,4,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,3,7,4,6,2,5] => [5,2,6,4,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,4,6,5,2] => [2,5,6,4,7,3,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,3,7,5,2,4,6] => [6,4,2,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,5,2,6,4] => [4,6,2,5,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,5,4,2,6] => [6,2,4,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,3,7,5,4,6,2] => [2,6,4,5,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,3,7,5,6,2,4] => [4,2,6,5,7,3,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,5,6,4,2] => [2,4,6,5,7,3,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,3,7,6,2,4,5] => [5,4,2,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,6,2,5,4] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,6,4,2,5] => [5,2,4,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,3,7,6,4,5,2] => [2,5,4,6,7,3,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[1,3,7,6,5,2,4] => [4,2,5,6,7,3,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,3,7,6,5,4,2] => [2,4,5,6,7,3,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,4,2,3,5,6,7] => [7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,3,5,7,6] => [6,7,5,3,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,2,3,6,5,7] => [7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,3,6,7,5] => [5,7,6,3,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,2,3,7,5,6] => [6,5,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,2,3,7,6,5] => [5,6,7,3,2,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,4,2,5,3,6,7] => [7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,5,3,7,6] => [6,7,3,5,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,2,5,6,3,7] => [7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,5,6,7,3] => [3,7,6,5,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,2,5,7,3,6] => [6,3,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,2,5,7,6,3] => [3,6,7,5,2,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,4,2,6,3,5,7] => [7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,6,3,7,5] => [5,7,3,6,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,2,6,5,3,7] => [7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,2,6,5,7,3] => [3,7,5,6,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,2,6,7,3,5] => [5,3,7,6,2,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,4,2,6,7,5,3] => [3,5,7,6,2,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,4,2,7,3,5,6] => [6,5,3,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,2,7,3,6,5] => [5,6,3,7,2,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,2,7,5,3,6] => [6,3,5,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,2,7,5,6,3] => [3,6,5,7,2,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,2,7,6,3,5] => [5,3,6,7,2,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,2,7,6,5,3] => [3,5,6,7,2,4,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,2,5,7,6] => [6,7,5,2,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,3,2,6,5,7] => [7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,2,6,7,5] => [5,7,6,2,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,3,2,7,5,6] => [6,5,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,3,2,7,6,5] => [5,6,7,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[1,4,3,5,2,6,7] => [7,6,2,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,5,2,7,6] => [6,7,2,5,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,3,5,6,2,7] => [7,2,6,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,5,6,7,2] => [2,7,6,5,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,3,5,7,2,6] => [6,2,7,5,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,3,5,7,6,2] => [2,6,7,5,3,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,4,3,6,2,5,7] => [7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,6,2,7,5] => [5,7,2,6,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,3,6,5,2,7] => [7,2,5,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,3,6,5,7,2] => [2,7,5,6,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,3,6,7,2,5] => [5,2,7,6,3,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,4,3,6,7,5,2] => [2,5,7,6,3,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,4,3,7,2,5,6] => [6,5,2,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,3,7,2,6,5] => [5,6,2,7,3,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,3,7,5,2,6] => [6,2,5,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,3,7,5,6,2] => [2,6,5,7,3,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,4,3,7,6,2,5] => [5,2,6,7,3,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,3,7,6,5,2] => [2,5,6,7,3,4,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,4,5,2,3,6,7] => [7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,2,3,7,6] => [6,7,3,2,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,5,2,6,3,7] => [7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,2,6,7,3] => [3,7,6,2,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,5,2,7,3,6] => [6,3,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,5,2,7,6,3] => [3,6,7,2,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,4,5,3,2,6,7] => [7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,3,2,7,6] => [6,7,2,3,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,4,5,3,6,2,7] => [7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,3,6,7,2] => [2,7,6,3,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,5,3,7,2,6] => [6,2,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,4,5,3,7,6,2] => [2,6,7,3,5,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,4,5,6,2,3,7] => [7,3,2,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,6,2,7,3] => [3,7,2,6,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,5,6,3,2,7] => [7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,5,6,3,7,2] => [2,7,3,6,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,5,6,7,2,3] => [3,2,7,6,5,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,4,5,7,2,3,6] => [6,3,2,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,5,7,2,6,3] => [3,6,2,7,5,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,5,7,3,2,6] => [6,2,3,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,4,5,7,3,6,2] => [2,6,3,7,5,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,4,5,7,6,2,3] => [3,2,6,7,5,4,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,5,7,6,3,2] => [2,3,6,7,5,4,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,4,6,2,3,5,7] => [7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,2,3,7,5] => [5,7,3,2,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,6,2,5,3,7] => [7,3,5,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,2,5,7,3] => [3,7,5,2,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,6,2,7,3,5] => [5,3,7,2,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,4,6,2,7,5,3] => [3,5,7,2,6,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,4,6,3,2,5,7] => [7,5,2,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,3,2,7,5] => [5,7,2,3,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,4,6,3,5,2,7] => [7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,3,5,7,2] => [2,7,5,3,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,6,3,7,2,5] => [5,2,7,3,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,4,6,3,7,5,2] => [2,5,7,3,6,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,4,6,5,2,3,7] => [7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,5,2,7,3] => [3,7,2,5,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,4,6,5,3,2,7] => [7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,4,6,5,3,7,2] => [2,7,3,5,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,4,6,5,7,2,3] => [3,2,7,5,6,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,4,6,5,7,3,2] => [2,3,7,5,6,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,4,6,7,2,3,5] => [5,3,2,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,6,7,2,5,3] => [3,5,2,7,6,4,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,6,7,3,2,5] => [5,2,3,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,4,6,7,3,5,2] => [2,5,3,7,6,4,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,4,6,7,5,2,3] => [3,2,5,7,6,4,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,6,7,5,3,2] => [2,3,5,7,6,4,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[1,4,7,2,3,5,6] => [6,5,3,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,2,3,6,5] => [5,6,3,2,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,2,5,3,6] => [6,3,5,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,2,5,6,3] => [3,6,5,2,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,4,7,2,6,3,5] => [5,3,6,2,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,2,6,5,3] => [3,5,6,2,7,4,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[1,4,7,3,2,5,6] => [6,5,2,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,3,2,6,5] => [5,6,2,3,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,3,5,2,6] => [6,2,5,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,3,5,6,2] => [2,6,5,3,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,4,7,3,6,2,5] => [5,2,6,3,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,3,6,5,2] => [2,5,6,3,7,4,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,4,7,5,2,3,6] => [6,3,2,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,5,2,6,3] => [3,6,2,5,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,4,7,5,3,2,6] => [6,2,3,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,4,7,5,3,6,2] => [2,6,3,5,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,4,7,5,6,2,3] => [3,2,6,5,7,4,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[1,4,7,5,6,3,2] => [2,3,6,5,7,4,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[1,4,7,6,2,3,5] => [5,3,2,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,6,2,5,3] => [3,5,2,6,7,4,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[1,4,7,6,3,2,5] => [5,2,3,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,4,7,6,3,5,2] => [2,5,3,6,7,4,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[1,4,7,6,5,2,3] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[1,4,7,6,5,3,2] => [2,3,5,6,7,4,1] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => 2

[1,5,2,3,4,6,7] => [7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,3,4,7,6] => [6,7,4,3,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,2,3,6,4,7] => [7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,3,6,7,4] => [4,7,6,3,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,2,3,7,4,6] => [6,4,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,2,3,7,6,4] => [4,6,7,3,2,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,5,2,4,3,6,7] => [7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,4,3,7,6] => [6,7,3,4,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,2,4,6,3,7] => [7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,4,6,7,3] => [3,7,6,4,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,2,4,7,3,6] => [6,3,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,2,4,7,6,3] => [3,6,7,4,2,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,5,2,6,3,4,7] => [7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,6,3,7,4] => [4,7,3,6,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,2,6,4,3,7] => [7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,2,6,4,7,3] => [3,7,4,6,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,2,6,7,3,4] => [4,3,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,5,2,6,7,4,3] => [3,4,7,6,2,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,5,2,7,3,4,6] => [6,4,3,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,2,7,3,6,4] => [4,6,3,7,2,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,2,7,4,3,6] => [6,3,4,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,2,7,4,6,3] => [3,6,4,7,2,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,2,7,6,3,4] => [4,3,6,7,2,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,2,7,6,4,3] => [3,4,6,7,2,5,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,3,2,4,6,7] => [7,6,4,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,2,4,7,6] => [6,7,4,2,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,3,2,6,4,7] => [7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,2,6,7,4] => [4,7,6,2,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,3,2,7,4,6] => [6,4,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,3,2,7,6,4] => [4,6,7,2,3,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[1,5,3,4,2,6,7] => [7,6,2,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,4,2,7,6] => [6,7,2,4,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,3,4,6,2,7] => [7,2,6,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,4,6,7,2] => [2,7,6,4,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,3,4,7,2,6] => [6,2,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,3,4,7,6,2] => [2,6,7,4,3,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,5,3,6,2,4,7] => [7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,6,2,7,4] => [4,7,2,6,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,3,6,4,2,7] => [7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,3,6,4,7,2] => [2,7,4,6,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,3,6,7,2,4] => [4,2,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,5,3,6,7,4,2] => [2,4,7,6,3,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,3,7,2,4,6] => [6,4,2,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,3,7,2,6,4] => [4,6,2,7,3,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,3,7,4,2,6] => [6,2,4,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,3,7,4,6,2] => [2,6,4,7,3,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,5,3,7,6,2,4] => [4,2,6,7,3,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,3,7,6,4,2] => [2,4,6,7,3,5,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,5,4,2,3,6,7] => [7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,2,3,7,6] => [6,7,3,2,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,4,2,6,3,7] => [7,3,6,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,2,6,7,3] => [3,7,6,2,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,4,2,7,3,6] => [6,3,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,4,2,7,6,3] => [3,6,7,2,4,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,3,2,7,6] => [6,7,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[1,5,4,3,6,2,7] => [7,2,6,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,3,6,7,2] => [2,7,6,3,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,4,3,7,2,6] => [6,2,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[1,5,4,3,7,6,2] => [2,6,7,3,4,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,5,4,6,2,3,7] => [7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,6,2,7,3] => [3,7,2,6,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,4,6,3,2,7] => [7,2,3,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,4,6,3,7,2] => [2,7,3,6,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,4,6,7,2,3] => [3,2,7,6,4,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,5,4,6,7,3,2] => [2,3,7,6,4,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,4,7,2,3,6] => [6,3,2,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,4,7,2,6,3] => [3,6,2,7,4,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,4,7,3,2,6] => [6,2,3,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[1,5,4,7,3,6,2] => [2,6,3,7,4,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[1,5,4,7,6,2,3] => [3,2,6,7,4,5,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,4,7,6,3,2] => [2,3,6,7,4,5,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,5,6,2,3,4,7] => [7,4,3,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,2,3,7,4] => [4,7,3,2,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,6,2,4,3,7] => [7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,2,4,7,3] => [3,7,4,2,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,6,2,7,3,4] => [4,3,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,5,6,2,7,4,3] => [3,4,7,2,6,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,5,6,3,2,4,7] => [7,4,2,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,3,2,7,4] => [4,7,2,3,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,5,6,3,4,2,7] => [7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,3,4,7,2] => [2,7,4,3,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,6,3,7,2,4] => [4,2,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,5,6,3,7,4,2] => [2,4,7,3,6,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,4,2,7,3] => [3,7,2,4,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,5,6,4,3,2,7] => [7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,5,6,4,3,7,2] => [2,7,3,4,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,5,6,4,7,2,3] => [3,2,7,4,6,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,5,6,4,7,3,2] => [2,3,7,4,6,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,6,7,2,3,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,6,7,2,4,3] => [3,4,2,7,6,5,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,6,7,3,2,4] => [4,2,3,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,5,6,7,3,4,2] => [2,4,3,7,6,5,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[1,5,6,7,4,2,3] => [3,2,4,7,6,5,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[1,5,7,2,3,4,6] => [6,4,3,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,2,3,6,4] => [4,6,3,2,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,2,4,3,6] => [6,3,4,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,2,4,6,3] => [3,6,4,2,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,5,7,2,6,3,4] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,2,6,4,3] => [3,4,6,2,7,5,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[1,5,7,3,2,4,6] => [6,4,2,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,3,2,6,4] => [4,6,2,3,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,3,4,2,6] => [6,2,4,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,3,4,6,2] => [2,6,4,3,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,5,7,3,6,2,4] => [4,2,6,3,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,3,6,4,2] => [2,4,6,3,7,5,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,5,7,4,2,3,6] => [6,3,2,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,4,2,6,3] => [3,6,2,4,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[1,5,7,4,3,2,6] => [6,2,3,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[1,5,7,4,3,6,2] => [2,6,3,4,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,5,7,4,6,2,3] => [3,2,6,4,7,5,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[1,5,7,4,6,3,2] => [2,3,6,4,7,5,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[1,5,7,6,2,3,4] => [4,3,2,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,6,2,4,3] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[1,5,7,6,3,2,4] => [4,2,3,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,5,7,6,3,4,2] => [2,4,3,6,7,5,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[1,5,7,6,4,2,3] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[1,5,7,6,4,3,2] => [2,3,4,6,7,5,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2

[1,6,2,3,4,5,7] => [7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,3,4,7,5] => [5,7,4,3,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,2,3,5,4,7] => [7,4,5,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,3,5,7,4] => [4,7,5,3,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,2,3,7,4,5] => [5,4,7,3,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,2,3,7,5,4] => [4,5,7,3,2,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,2,4,3,5,7] => [7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,4,3,7,5] => [5,7,3,4,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,2,4,5,3,7] => [7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,4,5,7,3] => [3,7,5,4,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,2,4,7,3,5] => [5,3,7,4,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,2,4,7,5,3] => [3,5,7,4,2,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,2,5,3,4,7] => [7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,5,3,7,4] => [4,7,3,5,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,2,5,4,3,7] => [7,3,4,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,2,5,4,7,3] => [3,7,4,5,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,2,5,7,3,4] => [4,3,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,2,5,7,4,3] => [3,4,7,5,2,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,2,7,3,4,5] => [5,4,3,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,2,7,3,5,4] => [4,5,3,7,2,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,2,7,4,3,5] => [5,3,4,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,2,7,4,5,3] => [3,5,4,7,2,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,2,7,5,3,4] => [4,3,5,7,2,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,2,7,5,4,3] => [3,4,5,7,2,6,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,3,2,4,5,7] => [7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,2,4,7,5] => [5,7,4,2,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,3,2,5,4,7] => [7,4,5,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,2,5,7,4] => [4,7,5,2,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,3,2,7,4,5] => [5,4,7,2,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,3,2,7,5,4] => [4,5,7,2,3,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,3,4,2,5,7] => [7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,4,2,7,5] => [5,7,2,4,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,3,4,5,2,7] => [7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,4,5,7,2] => [2,7,5,4,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,3,4,7,2,5] => [5,2,7,4,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,3,4,7,5,2] => [2,5,7,4,3,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,3,5,2,4,7] => [7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,5,2,7,4] => [4,7,2,5,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,3,5,4,2,7] => [7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,3,5,4,7,2] => [2,7,4,5,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,3,5,7,2,4] => [4,2,7,5,3,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,3,5,7,4,2] => [2,4,7,5,3,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,3,7,2,4,5] => [5,4,2,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,3,7,2,5,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,3,7,4,2,5] => [5,2,4,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,3,7,4,5,2] => [2,5,4,7,3,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,6,3,7,5,2,4] => [4,2,5,7,3,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,3,7,5,4,2] => [2,4,5,7,3,6,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[1,6,4,2,3,5,7] => [7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,2,3,7,5] => [5,7,3,2,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,4,2,5,3,7] => [7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,2,5,7,3] => [3,7,5,2,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,4,2,7,3,5] => [5,3,7,2,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,4,2,7,5,3] => [3,5,7,2,4,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,4,3,2,5,7] => [7,5,2,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,3,2,7,5] => [5,7,2,3,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[1,6,4,3,5,2,7] => [7,2,5,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,3,5,7,2] => [2,7,5,3,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,4,3,7,2,5] => [5,2,7,3,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[1,6,4,3,7,5,2] => [2,5,7,3,4,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,4,5,2,3,7] => [7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,5,2,7,3] => [3,7,2,5,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,4,5,3,2,7] => [7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,4,5,3,7,2] => [2,7,3,5,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,4,5,7,2,3] => [3,2,7,5,4,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,4,5,7,3,2] => [2,3,7,5,4,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,4,7,2,3,5] => [5,3,2,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,4,7,2,5,3] => [3,5,2,7,4,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,4,7,3,2,5] => [5,2,3,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[1,6,4,7,3,5,2] => [2,5,3,7,4,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,6,4,7,5,2,3] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,4,7,5,3,2] => [2,3,5,7,4,6,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[1,6,5,2,3,4,7] => [7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,2,3,7,4] => [4,7,3,2,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,5,2,4,3,7] => [7,3,4,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,2,4,7,3] => [3,7,4,2,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,5,2,7,3,4] => [4,3,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,5,2,7,4,3] => [3,4,7,2,5,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,5,3,2,4,7] => [7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,3,2,7,4] => [4,7,2,3,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[1,6,5,3,4,2,7] => [7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,3,4,7,2] => [2,7,4,3,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,5,3,7,2,4] => [4,2,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,5,3,7,4,2] => [2,4,7,3,5,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,5,4,2,3,7] => [7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,4,2,7,3] => [3,7,2,4,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[1,6,5,4,3,7,2] => [2,7,3,4,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[1,6,5,4,7,2,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,6,5,4,7,3,2] => [2,3,7,4,5,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,6,5,7,2,3,4] => [4,3,2,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,5,7,2,4,3] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,5,7,3,2,4] => [4,2,3,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[1,6,5,7,3,4,2] => [2,4,3,7,5,6,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[1,6,5,7,4,2,3] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,6,5,7,4,3,2] => [2,3,4,7,5,6,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[1,6,7,2,3,4,5] => [5,4,3,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,2,3,5,4] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,2,4,3,5] => [5,3,4,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,2,4,5,3] => [3,5,4,2,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[1,6,7,2,5,3,4] => [4,3,5,2,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,2,5,4,3] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3

[1,6,7,3,2,4,5] => [5,4,2,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,3,2,5,4] => [4,5,2,3,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,3,4,2,5] => [5,2,4,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,3,4,5,2] => [2,5,4,3,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,6,7,3,5,2,4] => [4,2,5,3,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,3,5,4,2] => [2,4,5,3,7,6,1] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,6,7,4,2,3,5] => [5,3,2,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,4,2,5,3] => [3,5,2,4,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[1,6,7,4,3,2,5] => [5,2,3,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[1,6,7,4,3,5,2] => [2,5,3,4,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,6,7,4,5,2,3] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[1,6,7,4,5,3,2] => [2,3,5,4,7,6,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[1,6,7,5,2,3,4] => [4,3,2,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,5,2,4,3] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 3

[1,6,7,5,3,2,4] => [4,2,3,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[1,6,7,5,3,4,2] => [2,4,3,5,7,6,1] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[1,6,7,5,4,2,3] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3

[1,6,7,5,4,3,2] => [2,3,4,5,7,6,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 2

[1,7,2,3,4,5,6] => [6,5,4,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,3,4,6,5] => [5,6,4,3,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,3,5,4,6] => [6,4,5,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,3,5,6,4] => [4,6,5,3,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,2,3,6,4,5] => [5,4,6,3,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,3,6,5,4] => [4,5,6,3,2,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[1,7,2,4,3,5,6] => [6,5,3,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,4,3,6,5] => [5,6,3,4,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,4,5,3,6] => [6,3,5,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,4,5,6,3] => [3,6,5,4,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,2,4,6,3,5] => [5,3,6,4,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,4,6,5,3] => [3,5,6,4,2,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[1,7,2,5,3,4,6] => [6,4,3,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,5,3,6,4] => [4,6,3,5,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,2,5,4,3,6] => [6,3,4,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,2,5,4,6,3] => [3,6,4,5,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,2,5,6,3,4] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[1,7,2,5,6,4,3] => [3,4,6,5,2,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[1,7,2,6,3,4,5] => [5,4,3,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,6,3,5,4] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[1,7,2,6,4,3,5] => [5,3,4,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,2,6,4,5,3] => [3,5,4,6,2,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[1,7,2,6,5,3,4] => [4,3,5,6,2,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[1,7,2,6,5,4,3] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => 3

[1,7,3,2,4,5,6] => [6,5,4,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,2,4,6,5] => [5,6,4,2,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,2,5,4,6] => [6,4,5,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,2,5,6,4] => [4,6,5,2,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,3,2,6,4,5] => [5,4,6,2,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,2,6,5,4] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[1,7,3,4,2,5,6] => [6,5,2,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,4,2,6,5] => [5,6,2,4,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,4,5,2,6] => [6,2,5,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,4,5,6,2] => [2,6,5,4,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,3,4,6,2,5] => [5,2,6,4,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,4,6,5,2] => [2,5,6,4,3,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[1,7,3,5,2,4,6] => [6,4,2,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,5,2,6,4] => [4,6,2,5,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,3,5,4,2,6] => [6,2,4,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,3,5,4,6,2] => [2,6,4,5,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,3,5,6,2,4] => [4,2,6,5,3,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[1,7,3,5,6,4,2] => [2,4,6,5,3,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,7,3,6,2,4,5] => [5,4,2,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,6,2,5,4] => [4,5,2,6,3,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[1,7,3,6,4,2,5] => [5,2,4,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,3,6,4,5,2] => [2,5,4,6,3,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[1,7,3,6,5,2,4] => [4,2,5,6,3,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[1,7,3,6,5,4,2] => [2,4,5,6,3,7,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => 2

[1,7,4,2,3,5,6] => [6,5,3,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,2,3,6,5] => [5,6,3,2,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,2,5,3,6] => [6,3,5,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,2,5,6,3] => [3,6,5,2,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,4,2,6,3,5] => [5,3,6,2,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,2,6,5,3] => [3,5,6,2,4,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[1,7,4,3,2,5,6] => [6,5,2,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,3,2,6,5] => [5,6,2,3,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,3,5,2,6] => [6,2,5,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,3,5,6,2] => [2,6,5,3,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,4,3,6,2,5] => [5,2,6,3,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,3,6,5,2] => [2,5,6,3,4,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[1,7,4,5,2,3,6] => [6,3,2,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,5,2,6,3] => [3,6,2,5,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,4,5,3,2,6] => [6,2,3,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,4,5,3,6,2] => [2,6,3,5,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,4,5,6,2,3] => [3,2,6,5,4,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,7,4,5,6,3,2] => [2,3,6,5,4,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,7,4,6,2,3,5] => [5,3,2,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,6,2,5,3] => [3,5,2,6,4,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[1,7,4,6,3,2,5] => [5,2,3,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,4,6,3,5,2] => [2,5,3,6,4,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[1,7,4,6,5,2,3] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 3

[1,7,4,6,5,3,2] => [2,3,5,6,4,7,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[1,7,5,2,3,4,6] => [6,4,3,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,2,3,6,4] => [4,6,3,2,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,5,2,4,3,6] => [6,3,4,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,2,4,6,3] => [3,6,4,2,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,5,2,6,3,4] => [4,3,6,2,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[1,7,5,2,6,4,3] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[1,7,5,3,2,4,6] => [6,4,2,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,3,2,6,4] => [4,6,2,3,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[1,7,5,3,4,2,6] => [6,2,4,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,3,4,6,2] => [2,6,4,3,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,5,3,6,2,4] => [4,2,6,3,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[1,7,5,3,6,4,2] => [2,4,6,3,5,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,7,5,4,2,3,6] => [6,3,2,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,4,2,6,3] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[1,7,5,4,3,2,6] => [6,2,3,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[1,7,5,4,3,6,2] => [2,6,3,4,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,5,4,6,2,3] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[1,7,5,4,6,3,2] => [2,3,6,4,5,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,7,5,6,2,3,4] => [4,3,2,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[1,7,5,6,2,4,3] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,7,5,6,3,2,4] => [4,2,3,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[1,7,5,6,3,4,2] => [2,4,3,6,5,7,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[1,7,5,6,4,2,3] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,7,5,6,4,3,2] => [2,3,4,6,5,7,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[1,7,6,2,3,4,5] => [5,4,3,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,2,3,5,4] => [4,5,3,2,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[1,7,6,2,4,3,5] => [5,3,4,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,2,4,5,3] => [3,5,4,2,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[1,7,6,2,5,3,4] => [4,3,5,2,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[1,7,6,2,5,4,3] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => 3

[1,7,6,3,2,4,5] => [5,4,2,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,3,2,5,4] => [4,5,2,3,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[1,7,6,3,4,2,5] => [5,2,4,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,3,4,5,2] => [2,5,4,3,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[1,7,6,3,5,2,4] => [4,2,5,3,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[1,7,6,3,5,4,2] => [2,4,5,3,6,7,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 2

[1,7,6,4,2,3,5] => [5,3,2,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,4,2,5,3] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[1,7,6,4,3,2,5] => [5,2,3,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[1,7,6,4,3,5,2] => [2,5,3,4,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[1,7,6,4,5,2,3] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => 3

[1,7,6,4,5,3,2] => [2,3,5,4,6,7,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => 2

[1,7,6,5,2,3,4] => [4,3,2,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[1,7,6,5,2,4,3] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => 3

[1,7,6,5,3,2,4] => [4,2,3,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[1,7,6,5,3,4,2] => [2,4,3,5,6,7,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => 2

[1,7,6,5,4,2,3] => [3,2,4,5,6,7,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => 3

[1,7,6,5,4,3,2] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => 2

[2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,3,4,7,5,6] => [6,5,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,3,4,7,6,5] => [5,6,7,4,3,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,3,5,7,4,6] => [6,4,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,3,5,7,6,4] => [4,6,7,5,3,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,1,3,6,4,5,7] => [7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,6,4,7,5] => [5,7,4,6,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,3,6,5,4,7] => [7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,3,6,5,7,4] => [4,7,5,6,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,3,6,7,4,5] => [5,4,7,6,3,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,1,3,6,7,5,4] => [4,5,7,6,3,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,1,3,7,4,5,6] => [6,5,4,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,3,7,4,6,5] => [5,6,4,7,3,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,3,7,5,4,6] => [6,4,5,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,3,7,5,6,4] => [4,6,5,7,3,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,3,7,6,4,5] => [5,4,6,7,3,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,3,7,6,5,4] => [4,5,6,7,3,1,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,4,3,7,5,6] => [6,5,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,4,3,7,6,5] => [5,6,7,3,4,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,5,3,7,6] => [6,7,3,5,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,4,5,7,3,6] => [6,3,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,4,5,7,6,3] => [3,6,7,5,4,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,1,4,6,3,5,7] => [7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,6,3,7,5] => [5,7,3,6,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,4,6,5,3,7] => [7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,4,6,5,7,3] => [3,7,5,6,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,4,6,7,3,5] => [5,3,7,6,4,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,1,4,6,7,5,3] => [3,5,7,6,4,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,1,4,7,3,5,6] => [6,5,3,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,4,7,3,6,5] => [5,6,3,7,4,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,4,7,5,3,6] => [6,3,5,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,4,7,5,6,3] => [3,6,5,7,4,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,4,7,6,3,5] => [5,3,6,7,4,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,4,7,6,5,3] => [3,5,6,7,4,1,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,5,3,4,6,7] => [7,6,4,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,3,4,7,6] => [6,7,4,3,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,5,3,6,4,7] => [7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,3,6,7,4] => [4,7,6,3,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,5,3,7,4,6] => [6,4,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,5,3,7,6,4] => [4,6,7,3,5,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,1,5,4,3,6,7] => [7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,1,5,4,6,3,7] => [7,3,6,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,4,6,7,3] => [3,7,6,4,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,5,4,7,3,6] => [6,3,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,1,5,4,7,6,3] => [3,6,7,4,5,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,1,5,6,3,4,7] => [7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,6,3,7,4] => [4,7,3,6,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,5,6,4,3,7] => [7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,5,6,4,7,3] => [3,7,4,6,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,5,6,7,3,4] => [4,3,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,1,5,6,7,4,3] => [3,4,7,6,5,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,1,5,7,3,4,6] => [6,4,3,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,5,7,3,6,4] => [4,6,3,7,5,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,5,7,4,3,6] => [6,3,4,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,1,5,7,4,6,3] => [3,6,4,7,5,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,5,7,6,3,4] => [4,3,6,7,5,1,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,5,7,6,4,3] => [3,4,6,7,5,1,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,6,3,4,5,7] => [7,5,4,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,3,4,7,5] => [5,7,4,3,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,6,3,5,4,7] => [7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,3,5,7,4] => [4,7,5,3,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,6,3,7,4,5] => [5,4,7,3,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,1,6,3,7,5,4] => [4,5,7,3,6,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,1,6,4,3,5,7] => [7,5,3,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,4,3,7,5] => [5,7,3,4,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,1,6,4,5,3,7] => [7,3,5,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,4,5,7,3] => [3,7,5,4,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,6,4,7,3,5] => [5,3,7,4,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,1,6,4,7,5,3] => [3,5,7,4,6,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,1,6,5,3,4,7] => [7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,5,3,7,4] => [4,7,3,5,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,1,6,5,4,3,7] => [7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,1,6,5,4,7,3] => [3,7,4,5,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,1,6,5,7,3,4] => [4,3,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,1,6,5,7,4,3] => [3,4,7,5,6,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,1,6,7,3,4,5] => [5,4,3,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,6,7,3,5,4] => [4,5,3,7,6,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,6,7,4,3,5] => [5,3,4,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,1,6,7,4,5,3] => [3,5,4,7,6,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,6,7,5,3,4] => [4,3,5,7,6,1,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,1,6,7,5,4,3] => [3,4,5,7,6,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,1,7,3,4,5,6] => [6,5,4,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,3,4,6,5] => [5,6,4,3,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,3,5,4,6] => [6,4,5,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,3,5,6,4] => [4,6,5,3,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,3,6,4,5] => [5,4,6,3,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,3,6,5,4] => [4,5,6,3,7,1,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,4,3,5,6] => [6,5,3,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,4,3,6,5] => [5,6,3,4,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,4,5,3,6] => [6,3,5,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,4,5,6,3] => [3,6,5,4,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,1,7,4,6,3,5] => [5,3,6,4,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,4,6,5,3] => [3,5,6,4,7,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[2,1,7,5,3,4,6] => [6,4,3,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,5,3,6,4] => [4,6,3,5,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,5,4,3,6] => [6,3,4,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,1,7,5,4,6,3] => [3,6,4,5,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,1,7,5,6,3,4] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,5,6,4,3] => [3,4,6,5,7,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[2,1,7,6,3,4,5] => [5,4,3,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,6,3,5,4] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,6,4,3,5] => [5,3,4,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,1,7,6,4,5,3] => [3,5,4,6,7,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[2,1,7,6,5,3,4] => [4,3,5,6,7,1,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,1,7,6,5,4,3] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,1,4,7,6,5] => [5,6,7,4,1,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,5,4,7,6] => [6,7,4,5,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,1,5,6,4,7] => [7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,1,5,7,4,6] => [6,4,7,5,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,1,5,7,6,4] => [4,6,7,5,1,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,3,1,6,4,5,7] => [7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,6,4,7,5] => [5,7,4,6,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,1,6,5,4,7] => [7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,1,6,5,7,4] => [4,7,5,6,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,1,6,7,4,5] => [5,4,7,6,1,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,3,1,6,7,5,4] => [4,5,7,6,1,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,3,1,7,4,5,6] => [6,5,4,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,1,7,4,6,5] => [5,6,4,7,1,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,1,7,5,4,6] => [6,4,5,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,1,7,5,6,4] => [4,6,5,7,1,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,1,7,6,4,5] => [5,4,6,7,1,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,1,7,6,5,4] => [4,5,6,7,1,3,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,4,1,7,5,6] => [6,5,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,4,1,7,6,5] => [5,6,7,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,4,5,7,1,6] => [6,1,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,4,5,7,6,1] => [1,6,7,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,3,4,6,1,5,7] => [7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,6,1,7,5] => [5,7,1,6,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,4,6,5,1,7] => [7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,4,6,5,7,1] => [1,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,4,6,7,1,5] => [5,1,7,6,4,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,3,4,6,7,5,1] => [1,5,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,3,4,7,1,5,6] => [6,5,1,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,4,7,1,6,5] => [5,6,1,7,4,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,4,7,5,1,6] => [6,1,5,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,4,7,5,6,1] => [1,6,5,7,4,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,4,7,6,1,5] => [5,1,6,7,4,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,4,7,6,5,1] => [1,5,6,7,4,3,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,5,1,4,6,7] => [7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,1,4,7,6] => [6,7,4,1,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,5,1,6,4,7] => [7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,1,6,7,4] => [4,7,6,1,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,5,1,7,4,6] => [6,4,7,1,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,5,1,7,6,4] => [4,6,7,1,5,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,3,5,4,1,6,7] => [7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,4,1,7,6] => [6,7,1,4,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,3,5,4,6,1,7] => [7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,4,6,7,1] => [1,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,5,4,7,1,6] => [6,1,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,3,5,4,7,6,1] => [1,6,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,3,5,6,1,4,7] => [7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,6,1,7,4] => [4,7,1,6,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,5,6,4,1,7] => [7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,5,6,4,7,1] => [1,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,5,6,7,1,4] => [4,1,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,3,5,6,7,4,1] => [1,4,7,6,5,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,3,5,7,1,4,6] => [6,4,1,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,5,7,1,6,4] => [4,6,1,7,5,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,5,7,4,1,6] => [6,1,4,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,3,5,7,4,6,1] => [1,6,4,7,5,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,5,7,6,1,4] => [4,1,6,7,5,3,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,5,7,6,4,1] => [1,4,6,7,5,3,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,6,1,4,5,7] => [7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,1,4,7,5] => [5,7,4,1,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,6,1,5,4,7] => [7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,1,5,7,4] => [4,7,5,1,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,6,1,7,4,5] => [5,4,7,1,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,3,6,1,7,5,4] => [4,5,7,1,6,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,3,6,4,1,5,7] => [7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,4,1,7,5] => [5,7,1,4,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,3,6,4,5,1,7] => [7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,4,5,7,1] => [1,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,6,4,7,1,5] => [5,1,7,4,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,3,6,4,7,5,1] => [1,5,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,3,6,5,1,4,7] => [7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,5,1,7,4] => [4,7,1,5,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,3,6,5,4,1,7] => [7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,3,6,5,4,7,1] => [1,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,3,6,5,7,1,4] => [4,1,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,3,6,5,7,4,1] => [1,4,7,5,6,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,3,6,7,1,4,5] => [5,4,1,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,6,7,1,5,4] => [4,5,1,7,6,3,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,6,7,4,1,5] => [5,1,4,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,3,6,7,4,5,1] => [1,5,4,7,6,3,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,6,7,5,1,4] => [4,1,5,7,6,3,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,3,6,7,5,4,1] => [1,4,5,7,6,3,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,3,7,1,4,5,6] => [6,5,4,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,1,4,6,5] => [5,6,4,1,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,1,5,4,6] => [6,4,5,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,1,5,6,4] => [4,6,5,1,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,3,7,1,6,4,5] => [5,4,6,1,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,1,6,5,4] => [4,5,6,1,7,3,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,4,1,6,5] => [5,6,1,4,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,4,5,1,6] => [6,1,5,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,4,5,6,1] => [1,6,5,4,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,3,7,4,6,1,5] => [5,1,6,4,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,4,6,5,1] => [1,5,6,4,7,3,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,3,7,5,1,4,6] => [6,4,1,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,5,1,6,4] => [4,6,1,5,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,3,7,5,4,1,6] => [6,1,4,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,3,7,5,4,6,1] => [1,6,4,5,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,3,7,5,6,1,4] => [4,1,6,5,7,3,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,3,7,5,6,4,1] => [1,4,6,5,7,3,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,3,7,6,1,4,5] => [5,4,1,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,6,1,5,4] => [4,5,1,6,7,3,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,3,7,6,4,1,5] => [5,1,4,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,3,7,6,5,1,4] => [4,1,5,6,7,3,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,4,1,3,5,6,7] => [7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,3,5,7,6] => [6,7,5,3,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,1,3,6,5,7] => [7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,3,6,7,5] => [5,7,6,3,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,1,3,7,5,6] => [6,5,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,1,3,7,6,5] => [5,6,7,3,1,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,4,1,5,3,6,7] => [7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,5,3,7,6] => [6,7,3,5,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,1,5,6,3,7] => [7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,5,6,7,3] => [3,7,6,5,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,1,5,7,3,6] => [6,3,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,1,5,7,6,3] => [3,6,7,5,1,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,4,1,6,3,5,7] => [7,5,3,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,6,3,7,5] => [5,7,3,6,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,1,6,5,3,7] => [7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,1,6,5,7,3] => [3,7,5,6,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,1,6,7,3,5] => [5,3,7,6,1,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,4,1,6,7,5,3] => [3,5,7,6,1,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,4,1,7,3,5,6] => [6,5,3,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,1,7,3,6,5] => [5,6,3,7,1,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,1,7,5,3,6] => [6,3,5,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,1,7,5,6,3] => [3,6,5,7,1,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,1,7,6,3,5] => [5,3,6,7,1,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,1,7,6,5,3] => [3,5,6,7,1,4,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,3,1,5,6,7] => [7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,1,5,7,6] => [6,7,5,1,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,3,1,6,5,7] => [7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,1,6,7,5] => [5,7,6,1,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,3,1,7,5,6] => [6,5,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,3,1,7,6,5] => [5,6,7,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[2,4,3,5,1,6,7] => [7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,5,1,7,6] => [6,7,1,5,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,3,5,6,1,7] => [7,1,6,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,5,6,7,1] => [1,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,3,5,7,1,6] => [6,1,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,3,5,7,6,1] => [1,6,7,5,3,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,4,3,6,1,5,7] => [7,5,1,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,6,1,7,5] => [5,7,1,6,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,3,6,5,1,7] => [7,1,5,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,3,6,5,7,1] => [1,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,3,6,7,1,5] => [5,1,7,6,3,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,4,3,6,7,5,1] => [1,5,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,4,3,7,1,5,6] => [6,5,1,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,3,7,1,6,5] => [5,6,1,7,3,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,3,7,5,1,6] => [6,1,5,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,3,7,5,6,1] => [1,6,5,7,3,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,4,3,7,6,1,5] => [5,1,6,7,3,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,3,7,6,5,1] => [1,5,6,7,3,4,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,4,5,1,3,6,7] => [7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,1,3,7,6] => [6,7,3,1,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,5,1,6,3,7] => [7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,1,6,7,3] => [3,7,6,1,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,5,1,7,3,6] => [6,3,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,5,1,7,6,3] => [3,6,7,1,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,4,5,3,1,6,7] => [7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,3,1,7,6] => [6,7,1,3,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,4,5,3,6,1,7] => [7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,3,6,7,1] => [1,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,5,3,7,1,6] => [6,1,7,3,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,4,5,3,7,6,1] => [1,6,7,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,4,5,6,1,3,7] => [7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,6,1,7,3] => [3,7,1,6,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,5,6,3,1,7] => [7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,5,6,3,7,1] => [1,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,5,6,7,1,3] => [3,1,7,6,5,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,4,5,6,7,3,1] => [1,3,7,6,5,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,4,5,7,1,3,6] => [6,3,1,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,5,7,1,6,3] => [3,6,1,7,5,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,5,7,3,1,6] => [6,1,3,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,4,5,7,3,6,1] => [1,6,3,7,5,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,4,5,7,6,1,3] => [3,1,6,7,5,4,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,5,7,6,3,1] => [1,3,6,7,5,4,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[2,4,6,1,3,5,7] => [7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,1,3,7,5] => [5,7,3,1,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,6,1,5,3,7] => [7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,1,5,7,3] => [3,7,5,1,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,6,1,7,3,5] => [5,3,7,1,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,4,6,1,7,5,3] => [3,5,7,1,6,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,4,6,3,1,5,7] => [7,5,1,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,3,1,7,5] => [5,7,1,3,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,4,6,3,5,1,7] => [7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,3,5,7,1] => [1,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,6,3,7,1,5] => [5,1,7,3,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,4,6,3,7,5,1] => [1,5,7,3,6,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,4,6,5,1,3,7] => [7,3,1,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,5,1,7,3] => [3,7,1,5,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,4,6,5,3,1,7] => [7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,4,6,5,3,7,1] => [1,7,3,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,4,6,5,7,1,3] => [3,1,7,5,6,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,4,6,5,7,3,1] => [1,3,7,5,6,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,4,6,7,1,3,5] => [5,3,1,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,6,7,1,5,3] => [3,5,1,7,6,4,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,6,7,3,1,5] => [5,1,3,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,4,6,7,3,5,1] => [1,5,3,7,6,4,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,4,6,7,5,1,3] => [3,1,5,7,6,4,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,6,7,5,3,1] => [1,3,5,7,6,4,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[2,4,7,1,3,5,6] => [6,5,3,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,1,3,6,5] => [5,6,3,1,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,1,5,3,6] => [6,3,5,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,1,5,6,3] => [3,6,5,1,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,4,7,1,6,3,5] => [5,3,6,1,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,1,6,5,3] => [3,5,6,1,7,4,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[2,4,7,3,1,5,6] => [6,5,1,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,3,1,6,5] => [5,6,1,3,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,3,5,1,6] => [6,1,5,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,3,5,6,1] => [1,6,5,3,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,4,7,3,6,1,5] => [5,1,6,3,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,3,6,5,1] => [1,5,6,3,7,4,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,4,7,5,1,3,6] => [6,3,1,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,5,1,6,3] => [3,6,1,5,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,4,7,5,3,1,6] => [6,1,3,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,4,7,5,3,6,1] => [1,6,3,5,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,4,7,5,6,1,3] => [3,1,6,5,7,4,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[2,4,7,5,6,3,1] => [1,3,6,5,7,4,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[2,4,7,6,1,3,5] => [5,3,1,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,6,1,5,3] => [3,5,1,6,7,4,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[2,4,7,6,3,1,5] => [5,1,3,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,4,7,6,5,1,3] => [3,1,5,6,7,4,2] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[2,5,1,3,4,6,7] => [7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,3,4,7,6] => [6,7,4,3,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,1,3,6,4,7] => [7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,3,6,7,4] => [4,7,6,3,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,1,3,7,4,6] => [6,4,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,1,3,7,6,4] => [4,6,7,3,1,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,5,1,4,3,6,7] => [7,6,3,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,4,3,7,6] => [6,7,3,4,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,1,4,6,3,7] => [7,3,6,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,4,6,7,3] => [3,7,6,4,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,1,4,7,3,6] => [6,3,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,1,4,7,6,3] => [3,6,7,4,1,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,5,1,6,3,4,7] => [7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,6,3,7,4] => [4,7,3,6,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,1,6,4,3,7] => [7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,1,6,4,7,3] => [3,7,4,6,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,1,6,7,3,4] => [4,3,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,5,1,6,7,4,3] => [3,4,7,6,1,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,5,1,7,3,4,6] => [6,4,3,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,1,7,3,6,4] => [4,6,3,7,1,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,1,7,4,3,6] => [6,3,4,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,1,7,4,6,3] => [3,6,4,7,1,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,1,7,6,3,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,1,7,6,4,3] => [3,4,6,7,1,5,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,3,1,4,6,7] => [7,6,4,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,1,4,7,6] => [6,7,4,1,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,3,1,6,4,7] => [7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,1,6,7,4] => [4,7,6,1,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,3,1,7,4,6] => [6,4,7,1,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,3,1,7,6,4] => [4,6,7,1,3,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[2,5,3,4,1,6,7] => [7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,4,1,7,6] => [6,7,1,4,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,3,4,6,1,7] => [7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,4,6,7,1] => [1,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,3,4,7,1,6] => [6,1,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,3,4,7,6,1] => [1,6,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,5,3,6,1,4,7] => [7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,6,1,7,4] => [4,7,1,6,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,3,6,4,1,7] => [7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,3,6,4,7,1] => [1,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,3,6,7,1,4] => [4,1,7,6,3,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,5,3,6,7,4,1] => [1,4,7,6,3,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,5,3,7,1,4,6] => [6,4,1,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,3,7,1,6,4] => [4,6,1,7,3,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,3,7,4,1,6] => [6,1,4,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,3,7,4,6,1] => [1,6,4,7,3,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,5,3,7,6,1,4] => [4,1,6,7,3,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,3,7,6,4,1] => [1,4,6,7,3,5,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,5,4,1,3,6,7] => [7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,1,3,7,6] => [6,7,3,1,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,4,1,6,3,7] => [7,3,6,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,1,6,7,3] => [3,7,6,1,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,4,1,7,3,6] => [6,3,7,1,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,4,1,7,6,3] => [3,6,7,1,4,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[2,5,4,3,1,6,7] => [7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,3,1,7,6] => [6,7,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[2,5,4,3,6,1,7] => [7,1,6,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,3,6,7,1] => [1,7,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,4,3,7,1,6] => [6,1,7,3,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[2,5,4,3,7,6,1] => [1,6,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,5,4,6,1,3,7] => [7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,6,1,7,3] => [3,7,1,6,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,4,6,3,1,7] => [7,1,3,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,4,6,3,7,1] => [1,7,3,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,4,6,7,1,3] => [3,1,7,6,4,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,5,4,6,7,3,1] => [1,3,7,6,4,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,5,4,7,1,3,6] => [6,3,1,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,4,7,1,6,3] => [3,6,1,7,4,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,4,7,3,1,6] => [6,1,3,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[2,5,4,7,3,6,1] => [1,6,3,7,4,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,5,4,7,6,1,3] => [3,1,6,7,4,5,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,4,7,6,3,1] => [1,3,6,7,4,5,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[2,5,6,1,3,4,7] => [7,4,3,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,1,3,7,4] => [4,7,3,1,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,6,1,4,3,7] => [7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,1,4,7,3] => [3,7,4,1,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,6,1,7,3,4] => [4,3,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,5,6,1,7,4,3] => [3,4,7,1,6,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,5,6,3,1,4,7] => [7,4,1,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,3,1,7,4] => [4,7,1,3,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,5,6,3,4,1,7] => [7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,3,4,7,1] => [1,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,6,3,7,1,4] => [4,1,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,5,6,3,7,4,1] => [1,4,7,3,6,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,5,6,4,1,3,7] => [7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,4,1,7,3] => [3,7,1,4,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,5,6,4,3,1,7] => [7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,5,6,4,3,7,1] => [1,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,5,6,4,7,1,3] => [3,1,7,4,6,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,5,6,4,7,3,1] => [1,3,7,4,6,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,5,6,7,1,3,4] => [4,3,1,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,6,7,1,4,3] => [3,4,1,7,6,5,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,6,7,3,1,4] => [4,1,3,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,5,6,7,3,4,1] => [1,4,3,7,6,5,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,5,6,7,4,1,3] => [3,1,4,7,6,5,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[2,5,7,1,3,4,6] => [6,4,3,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,1,3,6,4] => [4,6,3,1,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,1,4,3,6] => [6,3,4,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,1,4,6,3] => [3,6,4,1,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,5,7,1,6,3,4] => [4,3,6,1,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,1,6,4,3] => [3,4,6,1,7,5,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[2,5,7,3,1,4,6] => [6,4,1,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,3,1,6,4] => [4,6,1,3,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,3,4,1,6] => [6,1,4,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,3,4,6,1] => [1,6,4,3,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,5,7,3,6,1,4] => [4,1,6,3,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,3,6,4,1] => [1,4,6,3,7,5,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,5,7,4,1,3,6] => [6,3,1,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,4,1,6,3] => [3,6,1,4,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[2,5,7,4,3,1,6] => [6,1,3,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[2,5,7,4,3,6,1] => [1,6,3,4,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,5,7,4,6,1,3] => [3,1,6,4,7,5,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[2,5,7,4,6,3,1] => [1,3,6,4,7,5,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[2,5,7,6,1,3,4] => [4,3,1,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,6,1,4,3] => [3,4,1,6,7,5,2] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[2,5,7,6,3,1,4] => [4,1,3,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,5,7,6,3,4,1] => [1,4,3,6,7,5,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,5,7,6,4,1,3] => [3,1,4,6,7,5,2] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 1

[2,6,1,3,4,5,7] => [7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,3,4,7,5] => [5,7,4,3,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,1,3,5,4,7] => [7,4,5,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,3,5,7,4] => [4,7,5,3,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,1,3,7,4,5] => [5,4,7,3,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,1,3,7,5,4] => [4,5,7,3,1,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,1,4,3,5,7] => [7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,4,3,7,5] => [5,7,3,4,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,1,4,5,3,7] => [7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,4,5,7,3] => [3,7,5,4,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,1,4,7,3,5] => [5,3,7,4,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,1,4,7,5,3] => [3,5,7,4,1,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,1,5,3,4,7] => [7,4,3,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,5,3,7,4] => [4,7,3,5,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,1,5,4,3,7] => [7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,1,5,4,7,3] => [3,7,4,5,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,1,5,7,3,4] => [4,3,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,1,5,7,4,3] => [3,4,7,5,1,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,1,7,3,4,5] => [5,4,3,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,1,7,3,5,4] => [4,5,3,7,1,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,1,7,4,3,5] => [5,3,4,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,1,7,4,5,3] => [3,5,4,7,1,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,1,7,5,3,4] => [4,3,5,7,1,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,1,7,5,4,3] => [3,4,5,7,1,6,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,3,1,4,5,7] => [7,5,4,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,1,4,7,5] => [5,7,4,1,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,3,1,5,4,7] => [7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,1,5,7,4] => [4,7,5,1,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,3,1,7,4,5] => [5,4,7,1,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,3,1,7,5,4] => [4,5,7,1,3,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,3,4,1,5,7] => [7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,4,1,7,5] => [5,7,1,4,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,3,4,5,1,7] => [7,1,5,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,4,5,7,1] => [1,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,3,4,7,1,5] => [5,1,7,4,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,3,4,7,5,1] => [1,5,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,6,3,5,1,4,7] => [7,4,1,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,5,1,7,4] => [4,7,1,5,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,3,5,4,1,7] => [7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,3,5,4,7,1] => [1,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,3,5,7,1,4] => [4,1,7,5,3,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,3,5,7,4,1] => [1,4,7,5,3,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,6,3,7,1,4,5] => [5,4,1,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,3,7,1,5,4] => [4,5,1,7,3,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,3,7,4,1,5] => [5,1,4,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,3,7,4,5,1] => [1,5,4,7,3,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,6,3,7,5,1,4] => [4,1,5,7,3,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,3,7,5,4,1] => [1,4,5,7,3,6,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,6,4,1,3,5,7] => [7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,1,3,7,5] => [5,7,3,1,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,4,1,5,3,7] => [7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,1,5,7,3] => [3,7,5,1,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,4,1,7,3,5] => [5,3,7,1,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,4,1,7,5,3] => [3,5,7,1,4,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,4,3,1,5,7] => [7,5,1,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,3,1,7,5] => [5,7,1,3,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[2,6,4,3,5,1,7] => [7,1,5,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,3,5,7,1] => [1,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,4,3,7,1,5] => [5,1,7,3,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[2,6,4,3,7,5,1] => [1,5,7,3,4,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,6,4,5,1,3,7] => [7,3,1,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,5,1,7,3] => [3,7,1,5,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,4,5,3,1,7] => [7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,4,5,3,7,1] => [1,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,4,5,7,1,3] => [3,1,7,5,4,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,4,5,7,3,1] => [1,3,7,5,4,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,6,4,7,1,3,5] => [5,3,1,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,4,7,1,5,3] => [3,5,1,7,4,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,4,7,3,1,5] => [5,1,3,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[2,6,4,7,3,5,1] => [1,5,3,7,4,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,6,4,7,5,1,3] => [3,1,5,7,4,6,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,4,7,5,3,1] => [1,3,5,7,4,6,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[2,6,5,1,3,4,7] => [7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,1,3,7,4] => [4,7,3,1,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,5,1,4,3,7] => [7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,1,4,7,3] => [3,7,4,1,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,5,1,7,3,4] => [4,3,7,1,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,5,1,7,4,3] => [3,4,7,1,5,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,5,3,1,4,7] => [7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,3,1,7,4] => [4,7,1,3,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[2,6,5,3,4,1,7] => [7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,3,4,7,1] => [1,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,5,3,7,1,4] => [4,1,7,3,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[2,6,5,3,7,4,1] => [1,4,7,3,5,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[2,6,5,4,1,3,7] => [7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,4,1,7,3] => [3,7,1,4,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[2,6,5,4,3,1,7] => [7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,6,5,4,7,1,3] => [3,1,7,4,5,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,6,5,7,1,3,4] => [4,3,1,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,5,7,1,4,3] => [3,4,1,7,5,6,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,5,7,3,1,4] => [4,1,3,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[2,6,5,7,3,4,1] => [1,4,3,7,5,6,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[2,6,5,7,4,1,3] => [3,1,4,7,5,6,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[2,6,7,1,3,4,5] => [5,4,3,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,1,3,5,4] => [4,5,3,1,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,1,4,3,5] => [5,3,4,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,1,4,5,3] => [3,5,4,1,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[2,6,7,1,5,3,4] => [4,3,5,1,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,1,5,4,3] => [3,4,5,1,7,6,2] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3

[2,6,7,3,1,4,5] => [5,4,1,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,3,1,5,4] => [4,5,1,3,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,3,4,1,5] => [5,1,4,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,3,5,1,4] => [4,1,5,3,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,3,5,4,1] => [1,4,5,3,7,6,2] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,6,7,4,1,3,5] => [5,3,1,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,4,1,5,3] => [3,5,1,4,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[2,6,7,4,3,1,5] => [5,1,3,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[2,6,7,4,5,1,3] => [3,1,5,4,7,6,2] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[2,6,7,4,5,3,1] => [1,3,5,4,7,6,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 1

[2,6,7,5,1,3,4] => [4,3,1,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,5,1,4,3] => [3,4,1,5,7,6,2] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 3

[2,6,7,5,3,1,4] => [4,1,3,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[2,6,7,5,4,1,3] => [3,1,4,5,7,6,2] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3

[2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1

[2,7,1,3,4,5,6] => [6,5,4,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,3,4,6,5] => [5,6,4,3,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,3,5,4,6] => [6,4,5,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,3,5,6,4] => [4,6,5,3,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,1,3,6,4,5] => [5,4,6,3,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,3,6,5,4] => [4,5,6,3,1,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[2,7,1,4,3,5,6] => [6,5,3,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,4,3,6,5] => [5,6,3,4,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,4,5,3,6] => [6,3,5,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,4,5,6,3] => [3,6,5,4,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,1,4,6,3,5] => [5,3,6,4,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,4,6,5,3] => [3,5,6,4,1,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[2,7,1,5,3,4,6] => [6,4,3,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,5,3,6,4] => [4,6,3,5,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,1,5,4,3,6] => [6,3,4,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,1,5,4,6,3] => [3,6,4,5,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,1,5,6,3,4] => [4,3,6,5,1,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[2,7,1,5,6,4,3] => [3,4,6,5,1,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[2,7,1,6,3,4,5] => [5,4,3,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,6,3,5,4] => [4,5,3,6,1,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[2,7,1,6,4,3,5] => [5,3,4,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,1,6,4,5,3] => [3,5,4,6,1,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[2,7,1,6,5,3,4] => [4,3,5,6,1,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[2,7,1,6,5,4,3] => [3,4,5,6,1,7,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => 3

[2,7,3,1,4,5,6] => [6,5,4,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,1,4,6,5] => [5,6,4,1,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,1,5,4,6] => [6,4,5,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,1,5,6,4] => [4,6,5,1,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,3,1,6,4,5] => [5,4,6,1,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,1,6,5,4] => [4,5,6,1,3,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[2,7,3,4,1,5,6] => [6,5,1,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,4,1,6,5] => [5,6,1,4,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,4,5,6,1] => [1,6,5,4,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,4,6,1,5] => [5,1,6,4,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,4,6,5,1] => [1,5,6,4,3,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,5,1,4,6] => [6,4,1,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,5,1,6,4] => [4,6,1,5,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,3,5,4,1,6] => [6,1,4,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,3,5,4,6,1] => [1,6,4,5,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,5,6,1,4] => [4,1,6,5,3,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[2,7,3,5,6,4,1] => [1,4,6,5,3,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,7,3,6,1,4,5] => [5,4,1,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,6,1,5,4] => [4,5,1,6,3,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[2,7,3,6,4,1,5] => [5,1,4,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,3,6,5,1,4] => [4,1,5,6,3,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[2,7,3,6,5,4,1] => [1,4,5,6,3,7,2] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[2,7,4,1,3,5,6] => [6,5,3,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,1,3,6,5] => [5,6,3,1,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,1,5,3,6] => [6,3,5,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,1,5,6,3] => [3,6,5,1,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,4,1,6,3,5] => [5,3,6,1,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,1,6,5,3] => [3,5,6,1,4,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[2,7,4,3,1,5,6] => [6,5,1,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,3,1,6,5] => [5,6,1,3,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,3,5,1,6] => [6,1,5,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,3,5,6,1] => [1,6,5,3,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,4,3,6,1,5] => [5,1,6,3,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,3,6,5,1] => [1,5,6,3,4,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,4,5,1,3,6] => [6,3,1,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,5,1,6,3] => [3,6,1,5,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,4,5,3,1,6] => [6,1,3,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,4,5,3,6,1] => [1,6,3,5,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,4,5,6,1,3] => [3,1,6,5,4,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,7,4,5,6,3,1] => [1,3,6,5,4,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,7,4,6,1,3,5] => [5,3,1,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,6,1,5,3] => [3,5,1,6,4,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[2,7,4,6,3,1,5] => [5,1,3,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,4,6,5,1,3] => [3,1,5,6,4,7,2] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 3

[2,7,5,1,3,4,6] => [6,4,3,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,1,3,6,4] => [4,6,3,1,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,5,1,4,3,6] => [6,3,4,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,1,4,6,3] => [3,6,4,1,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,5,1,6,3,4] => [4,3,6,1,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[2,7,5,1,6,4,3] => [3,4,6,1,5,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[2,7,5,3,1,4,6] => [6,4,1,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,3,1,6,4] => [4,6,1,3,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[2,7,5,3,4,1,6] => [6,1,4,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,3,4,6,1] => [1,6,4,3,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,5,3,6,1,4] => [4,1,6,3,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[2,7,5,3,6,4,1] => [1,4,6,3,5,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[2,7,5,4,1,3,6] => [6,3,1,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,4,1,6,3] => [3,6,1,4,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[2,7,5,4,3,1,6] => [6,1,3,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[2,7,5,4,3,6,1] => [1,6,3,4,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,5,4,6,1,3] => [3,1,6,4,5,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,7,5,4,6,3,1] => [1,3,6,4,5,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[2,7,5,6,1,3,4] => [4,3,1,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[2,7,5,6,1,4,3] => [3,4,1,6,5,7,2] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,7,5,6,3,1,4] => [4,1,3,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[2,7,5,6,4,1,3] => [3,1,4,6,5,7,2] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,7,6,1,3,4,5] => [5,4,3,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,1,3,5,4] => [4,5,3,1,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[2,7,6,1,4,3,5] => [5,3,4,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,1,4,5,3] => [3,5,4,1,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[2,7,6,1,5,3,4] => [4,3,5,1,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[2,7,6,1,5,4,3] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => 3

[2,7,6,3,1,4,5] => [5,4,1,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,3,1,5,4] => [4,5,1,3,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[2,7,6,3,4,1,5] => [5,1,4,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,3,4,5,1] => [1,5,4,3,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,6,3,5,1,4] => [4,1,5,3,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[2,7,6,3,5,4,1] => [1,4,5,3,6,7,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 1

[2,7,6,4,1,3,5] => [5,3,1,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,4,1,5,3] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[2,7,6,4,3,1,5] => [5,1,3,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[2,7,6,4,3,5,1] => [1,5,3,4,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,6,4,5,1,3] => [3,1,5,4,6,7,2] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => 3

[2,7,6,5,1,3,4] => [4,3,1,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[2,7,6,5,1,4,3] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => 3

[2,7,6,5,3,1,4] => [4,1,3,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[2,7,6,5,3,4,1] => [1,4,3,5,6,7,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[2,7,6,5,4,1,3] => [3,1,4,5,6,7,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => 3

[2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => 1

[3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,4,5,7,6] => [6,7,5,4,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,2,4,6,5,7] => [7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,2,4,7,5,6] => [6,5,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,2,4,7,6,5] => [5,6,7,4,2,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,1,2,5,4,6,7] => [7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,5,4,7,6] => [6,7,4,5,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,2,5,6,4,7] => [7,4,6,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,5,6,7,4] => [4,7,6,5,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,2,5,7,4,6] => [6,4,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,2,5,7,6,4] => [4,6,7,5,2,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,1,2,6,4,5,7] => [7,5,4,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,6,4,7,5] => [5,7,4,6,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,2,6,5,4,7] => [7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,2,6,5,7,4] => [4,7,5,6,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,2,6,7,4,5] => [5,4,7,6,2,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,1,2,6,7,5,4] => [4,5,7,6,2,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,1,2,7,4,5,6] => [6,5,4,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,2,7,4,6,5] => [5,6,4,7,2,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,2,7,5,4,6] => [6,4,5,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,2,7,5,6,4] => [4,6,5,7,2,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,2,7,6,4,5] => [5,4,6,7,2,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,2,7,6,5,4] => [4,5,6,7,2,1,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,4,2,5,6,7] => [7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,2,5,7,6] => [6,7,5,2,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,4,2,6,5,7] => [7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,2,6,7,5] => [5,7,6,2,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,4,2,7,5,6] => [6,5,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,4,2,7,6,5] => [5,6,7,2,4,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,1,4,5,2,6,7] => [7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,5,2,7,6] => [6,7,2,5,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,4,5,6,2,7] => [7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,5,6,7,2] => [2,7,6,5,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,4,5,7,2,6] => [6,2,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,4,5,7,6,2] => [2,6,7,5,4,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,1,4,6,2,5,7] => [7,5,2,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,6,2,7,5] => [5,7,2,6,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,4,6,5,2,7] => [7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,4,6,5,7,2] => [2,7,5,6,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,4,6,7,2,5] => [5,2,7,6,4,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,1,4,6,7,5,2] => [2,5,7,6,4,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,4,7,2,5,6] => [6,5,2,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,4,7,2,6,5] => [5,6,2,7,4,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,4,7,5,2,6] => [6,2,5,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,4,7,5,6,2] => [2,6,5,7,4,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,1,4,7,6,2,5] => [5,2,6,7,4,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,4,7,6,5,2] => [2,5,6,7,4,1,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[3,1,5,2,4,6,7] => [7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,2,4,7,6] => [6,7,4,2,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,5,2,6,4,7] => [7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,2,6,7,4] => [4,7,6,2,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,5,2,7,4,6] => [6,4,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,5,2,7,6,4] => [4,6,7,2,5,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,1,5,4,2,6,7] => [7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,4,2,7,6] => [6,7,2,4,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,1,5,4,6,2,7] => [7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,4,6,7,2] => [2,7,6,4,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,5,4,7,2,6] => [6,2,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,1,5,4,7,6,2] => [2,6,7,4,5,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,1,5,6,2,4,7] => [7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,6,2,7,4] => [4,7,2,6,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,5,6,4,2,7] => [7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,5,6,4,7,2] => [2,7,4,6,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,5,6,7,2,4] => [4,2,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,1,5,6,7,4,2] => [2,4,7,6,5,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,5,7,2,4,6] => [6,4,2,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,5,7,2,6,4] => [4,6,2,7,5,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,5,7,4,2,6] => [6,2,4,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,1,5,7,4,6,2] => [2,6,4,7,5,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,1,5,7,6,2,4] => [4,2,6,7,5,1,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,5,7,6,4,2] => [2,4,6,7,5,1,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[3,1,6,2,4,5,7] => [7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,2,4,7,5] => [5,7,4,2,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,6,2,5,4,7] => [7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,2,5,7,4] => [4,7,5,2,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,6,2,7,4,5] => [5,4,7,2,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,1,6,2,7,5,4] => [4,5,7,2,6,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,1,6,4,2,5,7] => [7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,4,2,7,5] => [5,7,2,4,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,1,6,4,5,2,7] => [7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,4,5,7,2] => [2,7,5,4,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,6,4,7,2,5] => [5,2,7,4,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,1,6,4,7,5,2] => [2,5,7,4,6,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,6,5,2,4,7] => [7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,5,2,7,4] => [4,7,2,5,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,1,6,5,4,2,7] => [7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,1,6,5,4,7,2] => [2,7,4,5,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,1,6,5,7,2,4] => [4,2,7,5,6,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,1,6,5,7,4,2] => [2,4,7,5,6,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,6,7,2,4,5] => [5,4,2,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,6,7,2,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,6,7,4,2,5] => [5,2,4,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,1,6,7,4,5,2] => [2,5,4,7,6,1,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,1,6,7,5,2,4] => [4,2,5,7,6,1,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,1,6,7,5,4,2] => [2,4,5,7,6,1,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[3,1,7,2,4,5,6] => [6,5,4,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,2,4,6,5] => [5,6,4,2,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,2,5,4,6] => [6,4,5,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,2,5,6,4] => [4,6,5,2,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,2,6,4,5] => [5,4,6,2,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,2,6,5,4] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,4,2,5,6] => [6,5,2,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,4,2,6,5] => [5,6,2,4,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,4,5,2,6] => [6,2,5,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,4,5,6,2] => [2,6,5,4,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,1,7,4,6,2,5] => [5,2,6,4,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,4,6,5,2] => [2,5,6,4,7,1,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,1,7,5,2,4,6] => [6,4,2,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,5,2,6,4] => [4,6,2,5,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,5,4,2,6] => [6,2,4,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,1,7,5,4,6,2] => [2,6,4,5,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,1,7,5,6,2,4] => [4,2,6,5,7,1,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,5,6,4,2] => [2,4,6,5,7,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,1,7,6,2,4,5] => [5,4,2,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,6,2,5,4] => [4,5,2,6,7,1,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,6,4,2,5] => [5,2,4,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,1,7,6,4,5,2] => [2,5,4,6,7,1,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[3,1,7,6,5,2,4] => [4,2,5,6,7,1,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,1,7,6,5,4,2] => [2,4,5,6,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,4,5,7,6] => [6,7,5,4,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,1,4,6,5,7] => [7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,4,6,7,5] => [5,7,6,4,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,1,4,7,5,6] => [6,5,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,2,1,5,4,6,7] => [7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,5,4,7,6] => [6,7,4,5,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,1,5,6,4,7] => [7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,5,6,7,4] => [4,7,6,5,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,1,5,7,4,6] => [6,4,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,1,5,7,6,4] => [4,6,7,5,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,2,1,6,4,5,7] => [7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,6,4,7,5] => [5,7,4,6,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,1,6,5,4,7] => [7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,1,6,5,7,4] => [4,7,5,6,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,1,6,7,4,5] => [5,4,7,6,1,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,2,1,6,7,5,4] => [4,5,7,6,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,2,1,7,4,5,6] => [6,5,4,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,1,7,4,6,5] => [5,6,4,7,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,1,7,5,4,6] => [6,4,5,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,1,7,5,6,4] => [4,6,5,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,1,7,6,4,5] => [5,4,6,7,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,1,7,6,5,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,1,5,7,6] => [6,7,5,1,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,4,1,6,5,7] => [7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,1,6,7,5] => [5,7,6,1,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,4,1,7,5,6] => [6,5,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,4,1,7,6,5] => [5,6,7,1,4,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,5,1,7,6] => [6,7,1,5,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,4,5,7,1,6] => [6,1,7,5,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,4,5,7,6,1] => [1,6,7,5,4,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,2,4,6,1,5,7] => [7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,6,1,7,5] => [5,7,1,6,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,4,6,5,1,7] => [7,1,5,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,4,6,5,7,1] => [1,7,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,4,6,7,1,5] => [5,1,7,6,4,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,2,4,6,7,5,1] => [1,5,7,6,4,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,2,4,7,1,5,6] => [6,5,1,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,4,7,1,6,5] => [5,6,1,7,4,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,4,7,5,1,6] => [6,1,5,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,4,7,5,6,1] => [1,6,5,7,4,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,4,7,6,1,5] => [5,1,6,7,4,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,4,7,6,5,1] => [1,5,6,7,4,2,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,5,1,4,6,7] => [7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,1,4,7,6] => [6,7,4,1,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,5,1,6,4,7] => [7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,1,6,7,4] => [4,7,6,1,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,5,1,7,4,6] => [6,4,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,5,1,7,6,4] => [4,6,7,1,5,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,2,5,4,1,6,7] => [7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,4,1,7,6] => [6,7,1,4,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,2,5,4,6,1,7] => [7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,5,4,7,1,6] => [6,1,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,2,5,6,1,4,7] => [7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,6,1,7,4] => [4,7,1,6,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,5,6,4,1,7] => [7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,5,6,4,7,1] => [1,7,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,5,6,7,1,4] => [4,1,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,2,5,6,7,4,1] => [1,4,7,6,5,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,2,5,7,1,4,6] => [6,4,1,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,5,7,1,6,4] => [4,6,1,7,5,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,5,7,4,1,6] => [6,1,4,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,2,5,7,4,6,1] => [1,6,4,7,5,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,5,7,6,1,4] => [4,1,6,7,5,2,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,5,7,6,4,1] => [1,4,6,7,5,2,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,6,1,4,5,7] => [7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,1,4,7,5] => [5,7,4,1,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,6,1,5,4,7] => [7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,1,5,7,4] => [4,7,5,1,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,6,1,7,4,5] => [5,4,7,1,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,2,6,1,7,5,4] => [4,5,7,1,6,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,2,6,4,1,5,7] => [7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,4,1,7,5] => [5,7,1,4,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,2,6,4,5,1,7] => [7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,4,5,7,1] => [1,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,6,4,7,1,5] => [5,1,7,4,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,2,6,4,7,5,1] => [1,5,7,4,6,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,2,6,5,1,4,7] => [7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,5,1,7,4] => [4,7,1,5,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,2,6,5,4,1,7] => [7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,2,6,5,4,7,1] => [1,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,2,6,5,7,1,4] => [4,1,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,2,6,5,7,4,1] => [1,4,7,5,6,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,2,6,7,1,4,5] => [5,4,1,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,6,7,1,5,4] => [4,5,1,7,6,2,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,6,7,4,1,5] => [5,1,4,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,2,6,7,4,5,1] => [1,5,4,7,6,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,6,7,5,1,4] => [4,1,5,7,6,2,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,2,6,7,5,4,1] => [1,4,5,7,6,2,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,2,7,1,4,5,6] => [6,5,4,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,1,4,6,5] => [5,6,4,1,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,1,5,4,6] => [6,4,5,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,1,5,6,4] => [4,6,5,1,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,2,7,1,6,4,5] => [5,4,6,1,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,1,6,5,4] => [4,5,6,1,7,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,2,7,4,1,5,6] => [6,5,1,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,4,1,6,5] => [5,6,1,4,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,4,5,1,6] => [6,1,5,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,4,5,6,1] => [1,6,5,4,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,7,4,6,1,5] => [5,1,6,4,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,4,6,5,1] => [1,5,6,4,7,2,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,7,5,1,4,6] => [6,4,1,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,5,1,6,4] => [4,6,1,5,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,2,7,5,4,1,6] => [6,1,4,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,2,7,5,4,6,1] => [1,6,4,5,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,7,5,6,1,4] => [4,1,6,5,7,2,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,2,7,5,6,4,1] => [1,4,6,5,7,2,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,7,6,1,4,5] => [5,4,1,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,6,1,5,4] => [4,5,1,6,7,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,2,7,6,4,1,5] => [5,1,4,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,2,7,6,5,1,4] => [4,1,5,6,7,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,2,5,7,6] => [6,7,5,2,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,1,2,6,5,7] => [7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,2,6,7,5] => [5,7,6,2,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,1,2,7,5,6] => [6,5,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,1,2,7,6,5] => [5,6,7,2,1,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,4,1,5,2,6,7] => [7,6,2,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,5,2,7,6] => [6,7,2,5,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,1,5,6,2,7] => [7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,5,6,7,2] => [2,7,6,5,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,1,5,7,2,6] => [6,2,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,1,5,7,6,2] => [2,6,7,5,1,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,6,2,5,7] => [7,5,2,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,6,2,7,5] => [5,7,2,6,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,1,6,5,2,7] => [7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,1,6,5,7,2] => [2,7,5,6,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,1,6,7,2,5] => [5,2,7,6,1,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,4,1,6,7,5,2] => [2,5,7,6,1,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,7,2,5,6] => [6,5,2,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,1,7,2,6,5] => [5,6,2,7,1,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,1,7,5,2,6] => [6,2,5,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,1,7,5,6,2] => [2,6,5,7,1,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,4,1,7,6,2,5] => [5,2,6,7,1,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,1,7,6,5,2] => [2,5,6,7,1,4,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,1,5,7,6] => [6,7,5,1,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,2,1,6,5,7] => [7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,1,6,7,5] => [5,7,6,1,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,2,1,7,5,6] => [6,5,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,2,1,7,6,5] => [5,6,7,1,2,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,5,1,7,6] => [6,7,1,5,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,2,5,7,1,6] => [6,1,7,5,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,2,5,7,6,1] => [1,6,7,5,2,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,4,2,6,1,5,7] => [7,5,1,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,6,1,7,5] => [5,7,1,6,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,2,6,5,1,7] => [7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,2,6,5,7,1] => [1,7,5,6,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,2,6,7,1,5] => [5,1,7,6,2,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,4,2,6,7,5,1] => [1,5,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,4,2,7,1,5,6] => [6,5,1,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,2,7,1,6,5] => [5,6,1,7,2,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,2,7,5,1,6] => [6,1,5,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,2,7,5,6,1] => [1,6,5,7,2,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,4,2,7,6,1,5] => [5,1,6,7,2,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,2,7,6,5,1] => [1,5,6,7,2,4,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,1,2,7,6] => [6,7,2,1,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,5,1,6,2,7] => [7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,1,6,7,2] => [2,7,6,1,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,5,1,7,2,6] => [6,2,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,5,1,7,6,2] => [2,6,7,1,5,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,2,1,7,6] => [6,7,1,2,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,5,2,7,1,6] => [6,1,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,6,1,7,2] => [2,7,1,6,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,4,5,7,1,2,6] => [6,2,1,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,5,7,1,6,2] => [2,6,1,7,5,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,4,5,7,2,1,6] => [6,1,2,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,4,5,7,2,6,1] => [1,6,2,7,5,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,4,5,7,6,1,2] => [2,1,6,7,5,4,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[3,4,5,7,6,2,1] => [1,2,6,7,5,4,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[3,4,6,1,2,5,7] => [7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,1,2,7,5] => [5,7,2,1,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,6,1,5,2,7] => [7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,1,5,7,2] => [2,7,5,1,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,6,1,7,2,5] => [5,2,7,1,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,4,6,1,7,5,2] => [2,5,7,1,6,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,6,2,1,5,7] => [7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,2,1,7,5] => [5,7,1,2,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,4,6,2,5,1,7] => [7,1,5,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,2,5,7,1] => [1,7,5,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,6,2,7,1,5] => [5,1,7,2,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,4,6,2,7,5,1] => [1,5,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,4,6,5,1,2,7] => [7,2,1,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,5,1,7,2] => [2,7,1,5,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,4,6,5,2,1,7] => [7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,4,6,5,2,7,1] => [1,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,4,6,5,7,1,2] => [2,1,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,6,5,7,2,1] => [1,2,7,5,6,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,4,6,7,1,2,5] => [5,2,1,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,6,7,1,5,2] => [2,5,1,7,6,4,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,4,6,7,2,1,5] => [5,1,2,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,4,6,7,2,5,1] => [1,5,2,7,6,4,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,4,6,7,5,1,2] => [2,1,5,7,6,4,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[3,4,7,1,2,5,6] => [6,5,2,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,1,2,6,5] => [5,6,2,1,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,1,5,2,6] => [6,2,5,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,1,5,6,2] => [2,6,5,1,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,4,7,1,6,2,5] => [5,2,6,1,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,1,6,5,2] => [2,5,6,1,7,4,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,4,7,2,1,5,6] => [6,5,1,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,2,1,6,5] => [5,6,1,2,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,2,5,1,6] => [6,1,5,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,2,5,6,1] => [1,6,5,2,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,7,2,6,1,5] => [5,1,6,2,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,2,6,5,1] => [1,5,6,2,7,4,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,7,5,1,2,6] => [6,2,1,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,5,1,6,2] => [2,6,1,5,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,4,7,5,2,1,6] => [6,1,2,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,4,7,5,2,6,1] => [1,6,2,5,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,7,5,6,1,2] => [2,1,6,5,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,7,5,6,2,1] => [1,2,6,5,7,4,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[3,4,7,6,1,2,5] => [5,2,1,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,6,1,5,2] => [2,5,1,6,7,4,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[3,4,7,6,2,1,5] => [5,1,2,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 1

[3,5,1,2,4,6,7] => [7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,2,4,7,6] => [6,7,4,2,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,1,2,6,4,7] => [7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,2,6,7,4] => [4,7,6,2,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,1,2,7,4,6] => [6,4,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,1,2,7,6,4] => [4,6,7,2,1,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,5,1,4,2,6,7] => [7,6,2,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,4,2,7,6] => [6,7,2,4,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,1,4,6,2,7] => [7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,4,6,7,2] => [2,7,6,4,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,1,4,7,2,6] => [6,2,7,4,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,1,4,7,6,2] => [2,6,7,4,1,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,5,1,6,2,4,7] => [7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,6,2,7,4] => [4,7,2,6,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,1,6,4,2,7] => [7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,1,6,4,7,2] => [2,7,4,6,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,1,6,7,2,4] => [4,2,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,5,1,6,7,4,2] => [2,4,7,6,1,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,5,1,7,2,4,6] => [6,4,2,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,1,7,2,6,4] => [4,6,2,7,1,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,1,7,4,2,6] => [6,2,4,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,1,7,4,6,2] => [2,6,4,7,1,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,5,1,7,6,2,4] => [4,2,6,7,1,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,1,7,6,4,2] => [2,4,6,7,1,5,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[3,5,2,1,4,6,7] => [7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,1,4,7,6] => [6,7,4,1,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,2,1,6,4,7] => [7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,1,6,7,4] => [4,7,6,1,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,2,1,7,4,6] => [6,4,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,2,1,7,6,4] => [4,6,7,1,2,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[3,5,2,4,1,6,7] => [7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,4,1,7,6] => [6,7,1,4,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,2,4,6,1,7] => [7,1,6,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,4,6,7,1] => [1,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,2,4,7,1,6] => [6,1,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,2,4,7,6,1] => [1,6,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,5,2,6,1,4,7] => [7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,6,1,7,4] => [4,7,1,6,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,2,6,4,1,7] => [7,1,4,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,2,6,4,7,1] => [1,7,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,2,6,7,1,4] => [4,1,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,5,2,6,7,4,1] => [1,4,7,6,2,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,5,2,7,1,4,6] => [6,4,1,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,2,7,1,6,4] => [4,6,1,7,2,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,2,7,4,1,6] => [6,1,4,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,2,7,4,6,1] => [1,6,4,7,2,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,5,2,7,6,1,4] => [4,1,6,7,2,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,2,7,6,4,1] => [1,4,6,7,2,5,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,5,4,1,2,6,7] => [7,6,2,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,1,2,7,6] => [6,7,2,1,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,4,1,6,2,7] => [7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,1,6,7,2] => [2,7,6,1,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,4,1,7,2,6] => [6,2,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,4,1,7,6,2] => [2,6,7,1,4,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,5,4,2,1,6,7] => [7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,2,1,7,6] => [6,7,1,2,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[3,5,4,2,6,1,7] => [7,1,6,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,4,2,7,1,6] => [6,1,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,5,4,6,1,2,7] => [7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,6,1,7,2] => [2,7,1,6,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,4,6,2,1,7] => [7,1,2,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,4,6,2,7,1] => [1,7,2,6,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,4,6,7,1,2] => [2,1,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,5,4,6,7,2,1] => [1,2,7,6,4,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,5,4,7,1,2,6] => [6,2,1,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,4,7,1,6,2] => [2,6,1,7,4,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[3,5,4,7,2,1,6] => [6,1,2,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[3,5,4,7,2,6,1] => [1,6,2,7,4,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,5,4,7,6,1,2] => [2,1,6,7,4,5,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[3,5,6,1,2,4,7] => [7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,1,2,7,4] => [4,7,2,1,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,6,1,4,2,7] => [7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,1,4,7,2] => [2,7,4,1,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,6,1,7,2,4] => [4,2,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,5,6,1,7,4,2] => [2,4,7,1,6,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,5,6,2,1,4,7] => [7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,2,1,7,4] => [4,7,1,2,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,5,6,2,4,1,7] => [7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,2,4,7,1] => [1,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,2,7,1,4] => [4,1,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,5,6,2,7,4,1] => [1,4,7,2,6,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,5,6,4,1,2,7] => [7,2,1,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,4,1,7,2] => [2,7,1,4,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,6,4,2,1,7] => [7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,5,6,4,2,7,1] => [1,7,2,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,4,7,1,2] => [2,1,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,5,6,7,1,2,4] => [4,2,1,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,6,7,1,4,2] => [2,4,1,7,6,5,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[3,5,6,7,2,1,4] => [4,1,2,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,5,6,7,2,4,1] => [1,4,2,7,6,5,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,5,6,7,4,1,2] => [2,1,4,7,6,5,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[3,5,7,1,2,4,6] => [6,4,2,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,1,2,6,4] => [4,6,2,1,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,1,4,2,6] => [6,2,4,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,1,4,6,2] => [2,6,4,1,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,5,7,1,6,2,4] => [4,2,6,1,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,1,6,4,2] => [2,4,6,1,7,5,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,5,7,2,1,4,6] => [6,4,1,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,2,1,6,4] => [4,6,1,2,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,2,4,1,6] => [6,1,4,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,2,4,6,1] => [1,6,4,2,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,7,2,6,1,4] => [4,1,6,2,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,2,6,4,1] => [1,4,6,2,7,5,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,7,4,1,2,6] => [6,2,1,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,4,1,6,2] => [2,6,1,4,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,5,7,4,2,1,6] => [6,1,2,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[3,5,7,4,2,6,1] => [1,6,2,4,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,7,4,6,1,2] => [2,1,6,4,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,5,7,4,6,2,1] => [1,2,6,4,7,5,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[3,5,7,6,1,2,4] => [4,2,1,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,6,1,4,2] => [2,4,1,6,7,5,3] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[3,5,7,6,2,1,4] => [4,1,2,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,5,7,6,2,4,1] => [1,4,2,6,7,5,3] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,7,6,4,1,2] => [2,1,4,6,7,5,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 1

[3,6,1,2,4,5,7] => [7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,2,4,7,5] => [5,7,4,2,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,1,2,5,4,7] => [7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,2,5,7,4] => [4,7,5,2,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,1,2,7,4,5] => [5,4,7,2,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,1,2,7,5,4] => [4,5,7,2,1,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,1,4,2,5,7] => [7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,4,2,7,5] => [5,7,2,4,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,1,4,5,2,7] => [7,2,5,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,4,5,7,2] => [2,7,5,4,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,1,4,7,2,5] => [5,2,7,4,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,1,4,7,5,2] => [2,5,7,4,1,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,5,2,4,7] => [7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,5,2,7,4] => [4,7,2,5,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,1,5,4,2,7] => [7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,1,5,4,7,2] => [2,7,4,5,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,1,5,7,2,4] => [4,2,7,5,1,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,1,5,7,4,2] => [2,4,7,5,1,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,7,2,4,5] => [5,4,2,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,1,7,2,5,4] => [4,5,2,7,1,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,1,7,4,2,5] => [5,2,4,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,1,7,4,5,2] => [2,5,4,7,1,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,6,1,7,5,2,4] => [4,2,5,7,1,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,1,7,5,4,2] => [2,4,5,7,1,6,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[3,6,2,1,4,5,7] => [7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,1,4,7,5] => [5,7,4,1,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,2,1,5,4,7] => [7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,1,5,7,4] => [4,7,5,1,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,2,1,7,4,5] => [5,4,7,1,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,2,1,7,5,4] => [4,5,7,1,2,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,2,4,1,5,7] => [7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,4,1,7,5] => [5,7,1,4,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,2,4,5,1,7] => [7,1,5,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,4,5,7,1] => [1,7,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,4,7,1,5] => [5,1,7,4,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,2,4,7,5,1] => [1,5,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,6,2,5,1,4,7] => [7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,5,1,7,4] => [4,7,1,5,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,2,5,4,1,7] => [7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,2,5,4,7,1] => [1,7,4,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,5,7,1,4] => [4,1,7,5,2,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,2,5,7,4,1] => [1,4,7,5,2,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,6,2,7,1,4,5] => [5,4,1,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,2,7,1,5,4] => [4,5,1,7,2,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,2,7,4,1,5] => [5,1,4,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,2,7,4,5,1] => [1,5,4,7,2,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,6,2,7,5,1,4] => [4,1,5,7,2,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,2,7,5,4,1] => [1,4,5,7,2,6,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,6,4,1,2,5,7] => [7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,1,2,7,5] => [5,7,2,1,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,4,1,5,2,7] => [7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,1,5,7,2] => [2,7,5,1,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,4,1,7,2,5] => [5,2,7,1,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,4,1,7,5,2] => [2,5,7,1,4,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,4,2,1,5,7] => [7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,2,1,7,5] => [5,7,1,2,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[3,6,4,2,5,1,7] => [7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,2,5,7,1] => [1,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,4,2,7,1,5] => [5,1,7,2,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[3,6,4,2,7,5,1] => [1,5,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[3,6,4,5,1,2,7] => [7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,5,1,7,2] => [2,7,1,5,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,4,5,2,1,7] => [7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,4,5,2,7,1] => [1,7,2,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,4,5,7,1,2] => [2,1,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,4,5,7,2,1] => [1,2,7,5,4,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,6,4,7,1,2,5] => [5,2,1,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,4,7,1,5,2] => [2,5,1,7,4,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,6,4,7,2,1,5] => [5,1,2,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[3,6,4,7,2,5,1] => [1,5,2,7,4,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,6,4,7,5,1,2] => [2,1,5,7,4,6,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[3,6,4,7,5,2,1] => [1,2,5,7,4,6,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[3,6,5,1,2,4,7] => [7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,1,2,7,4] => [4,7,2,1,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,5,1,4,2,7] => [7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,1,4,7,2] => [2,7,4,1,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,5,1,7,2,4] => [4,2,7,1,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,5,1,7,4,2] => [2,4,7,1,5,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,5,2,1,4,7] => [7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,2,1,7,4] => [4,7,1,2,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[3,6,5,2,4,1,7] => [7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,2,4,7,1] => [1,7,4,2,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,2,7,1,4] => [4,1,7,2,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[3,6,5,2,7,4,1] => [1,4,7,2,5,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[3,6,5,4,1,2,7] => [7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,4,1,7,2] => [2,7,1,4,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,5,4,2,1,7] => [7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,4,7,1,2] => [2,1,7,4,5,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,6,5,7,1,2,4] => [4,2,1,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,5,7,1,4,2] => [2,4,1,7,5,6,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[3,6,5,7,2,1,4] => [4,1,2,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[3,6,5,7,2,4,1] => [1,4,2,7,5,6,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,6,5,7,4,1,2] => [2,1,4,7,5,6,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[3,6,7,1,2,4,5] => [5,4,2,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,1,2,5,4] => [4,5,2,1,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,1,4,2,5] => [5,2,4,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,1,4,5,2] => [2,5,4,1,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,6,7,1,5,2,4] => [4,2,5,1,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,1,5,4,2] => [2,4,5,1,7,6,3] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,6,7,2,1,4,5] => [5,4,1,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,2,1,5,4] => [4,5,1,2,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,2,4,1,5] => [5,1,4,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,2,5,1,4] => [4,1,5,2,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,2,5,4,1] => [1,4,5,2,7,6,3] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,4,1,5,2] => [2,5,1,4,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[3,6,7,4,2,1,5] => [5,1,2,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[3,6,7,4,5,1,2] => [2,1,5,4,7,6,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,7,4,5,2,1] => [1,2,5,4,7,6,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1

[3,6,7,5,1,2,4] => [4,2,1,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,5,1,4,2] => [2,4,1,5,7,6,3] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[3,6,7,5,2,1,4] => [4,1,2,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[3,6,7,5,4,1,2] => [2,1,4,5,7,6,3] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1

[3,7,1,2,4,5,6] => [6,5,4,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,2,4,6,5] => [5,6,4,2,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,2,5,4,6] => [6,4,5,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,2,5,6,4] => [4,6,5,2,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,1,2,6,4,5] => [5,4,6,2,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,2,6,5,4] => [4,5,6,2,1,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[3,7,1,4,2,5,6] => [6,5,2,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,4,2,6,5] => [5,6,2,4,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,4,5,2,6] => [6,2,5,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,4,5,6,2] => [2,6,5,4,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,1,4,6,2,5] => [5,2,6,4,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,4,6,5,2] => [2,5,6,4,1,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[3,7,1,5,2,4,6] => [6,4,2,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,5,2,6,4] => [4,6,2,5,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,1,5,4,2,6] => [6,2,4,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,1,5,4,6,2] => [2,6,4,5,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,1,5,6,2,4] => [4,2,6,5,1,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[3,7,1,5,6,4,2] => [2,4,6,5,1,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,7,1,6,2,4,5] => [5,4,2,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,6,2,5,4] => [4,5,2,6,1,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[3,7,1,6,4,2,5] => [5,2,4,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,1,6,4,5,2] => [2,5,4,6,1,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[3,7,1,6,5,2,4] => [4,2,5,6,1,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[3,7,1,6,5,4,2] => [2,4,5,6,1,7,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => 2

[3,7,2,1,4,5,6] => [6,5,4,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,1,4,6,5] => [5,6,4,1,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,1,5,4,6] => [6,4,5,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,1,5,6,4] => [4,6,5,1,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,2,1,6,4,5] => [5,4,6,1,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,1,6,5,4] => [4,5,6,1,2,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => 4

[3,7,2,4,1,5,6] => [6,5,1,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,4,1,6,5] => [5,6,1,4,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,4,5,1,6] => [6,1,5,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,4,5,6,1] => [1,6,5,4,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,4,6,5,1] => [1,5,6,4,2,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,2,5,1,4,6] => [6,4,1,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,5,1,6,4] => [4,6,1,5,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,2,5,4,1,6] => [6,1,4,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,2,5,4,6,1] => [1,6,4,5,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,2,5,6,1,4] => [4,1,6,5,2,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[3,7,2,5,6,4,1] => [1,4,6,5,2,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,7,2,6,1,4,5] => [5,4,1,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,6,1,5,4] => [4,5,1,6,2,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => 4

[3,7,2,6,4,1,5] => [5,1,4,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,2,6,5,1,4] => [4,1,5,6,2,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => 4

[3,7,2,6,5,4,1] => [1,4,5,6,2,7,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[3,7,4,1,2,5,6] => [6,5,2,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,1,2,6,5] => [5,6,2,1,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,1,5,2,6] => [6,2,5,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,1,5,6,2] => [2,6,5,1,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,4,1,6,2,5] => [5,2,6,1,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,1,6,5,2] => [2,5,6,1,4,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[3,7,4,2,1,5,6] => [6,5,1,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,2,1,6,5] => [5,6,1,2,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,2,5,1,6] => [6,1,5,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,2,5,6,1] => [1,6,5,2,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,4,2,6,1,5] => [5,1,6,2,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,2,6,5,1] => [1,5,6,2,4,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,4,5,1,2,6] => [6,2,1,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,5,1,6,2] => [2,6,1,5,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,4,5,2,1,6] => [6,1,2,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,4,5,2,6,1] => [1,6,2,5,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,4,5,6,2,1] => [1,2,6,5,4,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,7,4,6,1,2,5] => [5,2,1,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,6,1,5,2] => [2,5,1,6,4,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[3,7,4,6,2,1,5] => [5,1,2,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,4,6,5,1,2] => [2,1,5,6,4,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,7,4,6,5,2,1] => [1,2,5,6,4,7,3] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 1

[3,7,5,1,2,4,6] => [6,4,2,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,1,2,6,4] => [4,6,2,1,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,5,1,4,2,6] => [6,2,4,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,1,4,6,2] => [2,6,4,1,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,5,1,6,2,4] => [4,2,6,1,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[3,7,5,1,6,4,2] => [2,4,6,1,5,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[3,7,5,2,1,4,6] => [6,4,1,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,2,1,6,4] => [4,6,1,2,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[3,7,5,2,4,1,6] => [6,1,4,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,2,4,6,1] => [1,6,4,2,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,5,2,6,1,4] => [4,1,6,2,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[3,7,5,2,6,4,1] => [1,4,6,2,5,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[3,7,5,4,1,2,6] => [6,2,1,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,4,1,6,2] => [2,6,1,4,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[3,7,5,4,2,1,6] => [6,1,2,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[3,7,5,4,2,6,1] => [1,6,2,4,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,5,4,6,2,1] => [1,2,6,4,5,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[3,7,5,6,1,2,4] => [4,2,1,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[3,7,5,6,1,4,2] => [2,4,1,6,5,7,3] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[3,7,5,6,2,1,4] => [4,1,2,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[3,7,6,1,2,4,5] => [5,4,2,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,1,2,5,4] => [4,5,2,1,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[3,7,6,1,4,2,5] => [5,2,4,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,1,4,5,2] => [2,5,4,1,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[3,7,6,1,5,2,4] => [4,2,5,1,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[3,7,6,1,5,4,2] => [2,4,5,1,6,7,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 2

[3,7,6,2,1,4,5] => [5,4,1,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,2,1,5,4] => [4,5,1,2,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => 4

[3,7,6,2,4,1,5] => [5,1,4,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,2,4,5,1] => [1,5,4,2,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,6,2,5,1,4] => [4,1,5,2,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => 4

[3,7,6,2,5,4,1] => [1,4,5,2,6,7,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 1

[3,7,6,4,1,2,5] => [5,2,1,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,4,1,5,2] => [2,5,1,4,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[3,7,6,4,2,1,5] => [5,1,2,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[3,7,6,4,2,5,1] => [1,5,2,4,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[3,7,6,4,5,2,1] => [1,2,5,4,6,7,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => 1

[3,7,6,5,1,2,4] => [4,2,1,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[3,7,6,5,1,4,2] => [2,4,1,5,6,7,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => 2

[3,7,6,5,2,1,4] => [4,1,2,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => 4

[3,7,6,5,2,4,1] => [1,4,2,5,6,7,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => 1

[4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,3,5,7,6] => [6,7,5,3,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,2,3,6,5,7] => [7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,3,6,7,5] => [5,7,6,3,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,2,3,7,5,6] => [6,5,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,2,3,7,6,5] => [5,6,7,3,2,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,1,2,5,3,6,7] => [7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,5,3,7,6] => [6,7,3,5,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,2,5,6,3,7] => [7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,5,6,7,3] => [3,7,6,5,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,2,5,7,3,6] => [6,3,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,2,5,7,6,3] => [3,6,7,5,2,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,1,2,6,3,5,7] => [7,5,3,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,6,3,7,5] => [5,7,3,6,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,2,6,5,3,7] => [7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,2,6,5,7,3] => [3,7,5,6,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,2,6,7,3,5] => [5,3,7,6,2,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,1,2,6,7,5,3] => [3,5,7,6,2,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,1,2,7,3,5,6] => [6,5,3,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,2,7,3,6,5] => [5,6,3,7,2,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,2,7,5,3,6] => [6,3,5,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,2,7,5,6,3] => [3,6,5,7,2,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,2,7,6,3,5] => [5,3,6,7,2,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,2,7,6,5,3] => [3,5,6,7,2,1,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,3,2,5,6,7] => [7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,2,5,7,6] => [6,7,5,2,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,3,2,6,5,7] => [7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,2,6,7,5] => [5,7,6,2,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,3,2,7,5,6] => [6,5,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,3,2,7,6,5] => [5,6,7,2,3,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,1,3,5,2,6,7] => [7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,5,2,7,6] => [6,7,2,5,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,3,5,6,2,7] => [7,2,6,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,5,6,7,2] => [2,7,6,5,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,3,5,7,2,6] => [6,2,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,3,5,7,6,2] => [2,6,7,5,3,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,1,3,6,2,5,7] => [7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,6,2,7,5] => [5,7,2,6,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,3,6,5,2,7] => [7,2,5,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,3,6,5,7,2] => [2,7,5,6,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,3,6,7,2,5] => [5,2,7,6,3,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,1,3,6,7,5,2] => [2,5,7,6,3,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,1,3,7,2,5,6] => [6,5,2,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,3,7,2,6,5] => [5,6,2,7,3,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,3,7,5,2,6] => [6,2,5,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,3,7,5,6,2] => [2,6,5,7,3,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,1,3,7,6,2,5] => [5,2,6,7,3,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,3,7,6,5,2] => [2,5,6,7,3,1,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,1,5,2,3,6,7] => [7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,2,3,7,6] => [6,7,3,2,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,5,2,6,3,7] => [7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,2,6,7,3] => [3,7,6,2,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,5,2,7,3,6] => [6,3,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,5,2,7,6,3] => [3,6,7,2,5,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,1,5,3,2,6,7] => [7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,3,2,7,6] => [6,7,2,3,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,1,5,3,6,2,7] => [7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,3,6,7,2] => [2,7,6,3,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,5,3,7,2,6] => [6,2,7,3,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,1,5,3,7,6,2] => [2,6,7,3,5,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,1,5,6,2,3,7] => [7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,6,2,7,3] => [3,7,2,6,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,5,6,3,2,7] => [7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,5,6,3,7,2] => [2,7,3,6,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,5,6,7,2,3] => [3,2,7,6,5,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,1,5,6,7,3,2] => [2,3,7,6,5,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,1,5,7,2,3,6] => [6,3,2,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,5,7,2,6,3] => [3,6,2,7,5,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,5,7,3,2,6] => [6,2,3,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,1,5,7,3,6,2] => [2,6,3,7,5,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,1,5,7,6,2,3] => [3,2,6,7,5,1,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,5,7,6,3,2] => [2,3,6,7,5,1,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,1,6,2,3,5,7] => [7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,2,3,7,5] => [5,7,3,2,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,6,2,5,3,7] => [7,3,5,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,2,5,7,3] => [3,7,5,2,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,6,2,7,3,5] => [5,3,7,2,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,1,6,2,7,5,3] => [3,5,7,2,6,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,1,6,3,2,5,7] => [7,5,2,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,3,2,7,5] => [5,7,2,3,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,1,6,3,5,2,7] => [7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,3,5,7,2] => [2,7,5,3,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,6,3,7,2,5] => [5,2,7,3,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,1,6,3,7,5,2] => [2,5,7,3,6,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,1,6,5,2,3,7] => [7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,5,2,7,3] => [3,7,2,5,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,1,6,5,3,2,7] => [7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,1,6,5,3,7,2] => [2,7,3,5,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,6,5,7,2,3] => [3,2,7,5,6,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,1,6,5,7,3,2] => [2,3,7,5,6,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,1,6,7,2,3,5] => [5,3,2,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,6,7,2,5,3] => [3,5,2,7,6,1,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,6,7,3,2,5] => [5,2,3,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,1,6,7,3,5,2] => [2,5,3,7,6,1,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[4,1,6,7,5,2,3] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,6,7,5,3,2] => [2,3,5,7,6,1,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[4,1,7,2,3,5,6] => [6,5,3,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,2,3,6,5] => [5,6,3,2,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,2,5,3,6] => [6,3,5,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,2,5,6,3] => [3,6,5,2,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,1,7,2,6,3,5] => [5,3,6,2,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,2,6,5,3] => [3,5,6,2,7,1,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[4,1,7,3,2,5,6] => [6,5,2,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,3,2,6,5] => [5,6,2,3,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,3,5,2,6] => [6,2,5,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,3,5,6,2] => [2,6,5,3,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,1,7,3,6,2,5] => [5,2,6,3,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,3,6,5,2] => [2,5,6,3,7,1,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[4,1,7,5,2,3,6] => [6,3,2,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,5,2,6,3] => [3,6,2,5,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,1,7,5,3,2,6] => [6,2,3,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,1,7,5,3,6,2] => [2,6,3,5,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,1,7,5,6,2,3] => [3,2,6,5,7,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[4,1,7,5,6,3,2] => [2,3,6,5,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[4,1,7,6,2,3,5] => [5,3,2,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,6,2,5,3] => [3,5,2,6,7,1,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[4,1,7,6,3,2,5] => [5,2,3,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,1,7,6,3,5,2] => [2,5,3,6,7,1,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[4,1,7,6,5,2,3] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[4,1,7,6,5,3,2] => [2,3,5,6,7,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => 2

[4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,3,5,7,6] => [6,7,5,3,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,1,3,6,5,7] => [7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,3,6,7,5] => [5,7,6,3,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,1,3,7,5,6] => [6,5,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,1,3,7,6,5] => [5,6,7,3,1,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,2,1,5,3,6,7] => [7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,5,3,7,6] => [6,7,3,5,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,1,5,6,3,7] => [7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,5,6,7,3] => [3,7,6,5,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,1,5,7,3,6] => [6,3,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,1,5,7,6,3] => [3,6,7,5,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,2,1,6,3,5,7] => [7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,6,3,7,5] => [5,7,3,6,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,1,6,5,3,7] => [7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,1,6,5,7,3] => [3,7,5,6,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,1,6,7,3,5] => [5,3,7,6,1,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,2,1,6,7,5,3] => [3,5,7,6,1,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,2,1,7,3,5,6] => [6,5,3,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,1,7,3,6,5] => [5,6,3,7,1,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,1,7,5,3,6] => [6,3,5,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,1,7,5,6,3] => [3,6,5,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,1,7,6,3,5] => [5,3,6,7,1,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,1,7,6,5,3] => [3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,1,5,7,6] => [6,7,5,1,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,3,1,6,5,7] => [7,5,6,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,1,6,7,5] => [5,7,6,1,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,3,1,7,5,6] => [6,5,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,3,1,7,6,5] => [5,6,7,1,3,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,5,1,7,6] => [6,7,1,5,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,3,5,7,1,6] => [6,1,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,3,5,7,6,1] => [1,6,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,2,3,6,1,5,7] => [7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,6,1,7,5] => [5,7,1,6,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,3,6,5,1,7] => [7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,3,6,5,7,1] => [1,7,5,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,3,6,7,1,5] => [5,1,7,6,3,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,2,3,6,7,5,1] => [1,5,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,2,3,7,1,5,6] => [6,5,1,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,3,7,1,6,5] => [5,6,1,7,3,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,3,7,5,1,6] => [6,1,5,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,3,7,5,6,1] => [1,6,5,7,3,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,2,3,7,6,1,5] => [5,1,6,7,3,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,3,7,6,5,1] => [1,5,6,7,3,2,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,2,5,1,3,6,7] => [7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,1,3,7,6] => [6,7,3,1,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,5,1,6,3,7] => [7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,1,6,7,3] => [3,7,6,1,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,5,1,7,3,6] => [6,3,7,1,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,5,1,7,6,3] => [3,6,7,1,5,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,2,5,3,1,6,7] => [7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,3,1,7,6] => [6,7,1,3,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,2,5,3,6,1,7] => [7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,3,6,7,1] => [1,7,6,3,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,5,3,7,1,6] => [6,1,7,3,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,2,5,3,7,6,1] => [1,6,7,3,5,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,2,5,6,1,3,7] => [7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,6,1,7,3] => [3,7,1,6,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,5,6,3,1,7] => [7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,5,6,3,7,1] => [1,7,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,5,6,7,1,3] => [3,1,7,6,5,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,2,5,6,7,3,1] => [1,3,7,6,5,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,2,5,7,1,3,6] => [6,3,1,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,5,7,1,6,3] => [3,6,1,7,5,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,5,7,3,1,6] => [6,1,3,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,2,5,7,3,6,1] => [1,6,3,7,5,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,2,5,7,6,1,3] => [3,1,6,7,5,2,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,5,7,6,3,1] => [1,3,6,7,5,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[4,2,6,1,3,5,7] => [7,5,3,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,1,3,7,5] => [5,7,3,1,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,6,1,5,3,7] => [7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,1,5,7,3] => [3,7,5,1,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,6,1,7,3,5] => [5,3,7,1,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,2,6,1,7,5,3] => [3,5,7,1,6,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,2,6,3,1,5,7] => [7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,3,1,7,5] => [5,7,1,3,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,2,6,3,5,1,7] => [7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,3,5,7,1] => [1,7,5,3,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,6,3,7,1,5] => [5,1,7,3,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,2,6,3,7,5,1] => [1,5,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,2,6,5,1,3,7] => [7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,5,1,7,3] => [3,7,1,5,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,2,6,5,3,1,7] => [7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,2,6,5,3,7,1] => [1,7,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,2,6,5,7,1,3] => [3,1,7,5,6,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,2,6,5,7,3,1] => [1,3,7,5,6,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,2,6,7,1,3,5] => [5,3,1,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,6,7,1,5,3] => [3,5,1,7,6,2,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,6,7,3,1,5] => [5,1,3,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,2,6,7,3,5,1] => [1,5,3,7,6,2,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,2,6,7,5,1,3] => [3,1,5,7,6,2,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,6,7,5,3,1] => [1,3,5,7,6,2,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[4,2,7,1,3,5,6] => [6,5,3,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,1,3,6,5] => [5,6,3,1,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,1,5,3,6] => [6,3,5,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,1,5,6,3] => [3,6,5,1,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,2,7,1,6,3,5] => [5,3,6,1,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,1,6,5,3] => [3,5,6,1,7,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[4,2,7,3,1,5,6] => [6,5,1,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,3,1,6,5] => [5,6,1,3,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,3,5,1,6] => [6,1,5,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,3,5,6,1] => [1,6,5,3,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,7,3,6,1,5] => [5,1,6,3,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,3,6,5,1] => [1,5,6,3,7,2,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,7,5,1,3,6] => [6,3,1,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,5,1,6,3] => [3,6,1,5,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,2,7,5,3,1,6] => [6,1,3,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,2,7,5,3,6,1] => [1,6,3,5,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,7,5,6,1,3] => [3,1,6,5,7,2,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[4,2,7,5,6,3,1] => [1,3,6,5,7,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[4,2,7,6,1,3,5] => [5,3,1,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,6,1,5,3] => [3,5,1,6,7,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[4,2,7,6,3,1,5] => [5,1,3,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,2,7,6,5,1,3] => [3,1,5,6,7,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,2,5,7,6] => [6,7,5,2,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,1,2,6,5,7] => [7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,2,6,7,5] => [5,7,6,2,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,1,2,7,5,6] => [6,5,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,1,2,7,6,5] => [5,6,7,2,1,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,3,1,5,2,6,7] => [7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,5,2,7,6] => [6,7,2,5,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,1,5,6,2,7] => [7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,5,6,7,2] => [2,7,6,5,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,1,5,7,2,6] => [6,2,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,1,5,7,6,2] => [2,6,7,5,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,3,1,6,2,5,7] => [7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,6,2,7,5] => [5,7,2,6,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,1,6,5,2,7] => [7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,1,6,5,7,2] => [2,7,5,6,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,1,6,7,2,5] => [5,2,7,6,1,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,3,1,6,7,5,2] => [2,5,7,6,1,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,3,1,7,2,5,6] => [6,5,2,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,1,7,2,6,5] => [5,6,2,7,1,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,1,7,5,2,6] => [6,2,5,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,1,7,5,6,2] => [2,6,5,7,1,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,3,1,7,6,2,5] => [5,2,6,7,1,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,1,7,6,5,2] => [2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,1,5,7,6] => [6,7,5,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,2,1,6,5,7] => [7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,1,6,7,5] => [5,7,6,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,2,1,7,5,6] => [6,5,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,2,1,7,6,5] => [5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5

[4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,5,1,7,6] => [6,7,1,5,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,2,5,7,1,6] => [6,1,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,2,5,7,6,1] => [1,6,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,3,2,6,1,5,7] => [7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,6,1,7,5] => [5,7,1,6,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,2,6,5,1,7] => [7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,2,6,7,1,5] => [5,1,7,6,2,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,3,2,7,1,5,6] => [6,5,1,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,2,7,1,6,5] => [5,6,1,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,2,7,5,1,6] => [6,1,5,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,2,7,5,6,1] => [1,6,5,7,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,3,2,7,6,1,5] => [5,1,6,7,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => ([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,1,2,7,6] => [6,7,2,1,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,5,1,6,2,7] => [7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,1,6,7,2] => [2,7,6,1,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,5,1,7,2,6] => [6,2,7,1,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,5,1,7,6,2] => [2,6,7,1,5,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,2,1,7,6] => [6,7,1,2,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,5,2,7,1,6] => [6,1,7,2,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,3,5,2,7,6,1] => [1,6,7,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,6,1,7,2] => [2,7,1,6,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,3,5,7,1,2,6] => [6,2,1,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,5,7,1,6,2] => [2,6,1,7,5,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,3,5,7,2,1,6] => [6,1,2,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,3,5,7,2,6,1] => [1,6,2,7,5,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,3,5,7,6,1,2] => [2,1,6,7,5,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[4,3,6,1,2,5,7] => [7,5,2,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,1,2,7,5] => [5,7,2,1,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,6,1,5,2,7] => [7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,1,5,7,2] => [2,7,5,1,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,6,1,7,2,5] => [5,2,7,1,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,3,6,1,7,5,2] => [2,5,7,1,6,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,3,6,2,1,5,7] => [7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,2,1,7,5] => [5,7,1,2,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,3,6,2,5,1,7] => [7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,2,5,7,1] => [1,7,5,2,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,2,7,1,5] => [5,1,7,2,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,3,6,2,7,5,1] => [1,5,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,3,6,5,1,2,7] => [7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,5,1,7,2] => [2,7,1,5,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,3,6,5,2,1,7] => [7,1,2,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,3,6,5,2,7,1] => [1,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,5,7,1,2] => [2,1,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,3,6,7,1,2,5] => [5,2,1,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,6,7,1,5,2] => [2,5,1,7,6,3,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[4,3,6,7,2,1,5] => [5,1,2,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,3,6,7,2,5,1] => [1,5,2,7,6,3,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,3,6,7,5,1,2] => [2,1,5,7,6,3,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[4,3,7,1,2,5,6] => [6,5,2,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,1,2,6,5] => [5,6,2,1,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,1,5,2,6] => [6,2,5,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,1,5,6,2] => [2,6,5,1,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,3,7,1,6,2,5] => [5,2,6,1,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,1,6,5,2] => [2,5,6,1,7,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[4,3,7,2,1,5,6] => [6,5,1,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,2,1,6,5] => [5,6,1,2,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,2,5,1,6] => [6,1,5,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,2,5,6,1] => [1,6,5,2,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,7,2,6,1,5] => [5,1,6,2,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,2,6,5,1] => [1,5,6,2,7,3,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,7,5,1,2,6] => [6,2,1,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,5,1,6,2] => [2,6,1,5,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,3,7,5,2,1,6] => [6,1,2,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,3,7,5,2,6,1] => [1,6,2,5,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,7,5,6,1,2] => [2,1,6,5,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,3,7,5,6,2,1] => [1,2,6,5,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[4,3,7,6,1,2,5] => [5,2,1,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,6,1,5,2] => [2,5,1,6,7,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => 2

[4,3,7,6,2,1,5] => [5,1,2,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 1

[4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,2,3,7,6] => [6,7,3,2,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,1,2,6,3,7] => [7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,2,6,7,3] => [3,7,6,2,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,1,2,7,3,6] => [6,3,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,1,2,7,6,3] => [3,6,7,2,1,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,5,1,3,2,6,7] => [7,6,2,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,3,2,7,6] => [6,7,2,3,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,1,3,6,2,7] => [7,2,6,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,3,6,7,2] => [2,7,6,3,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,1,3,7,2,6] => [6,2,7,3,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,1,3,7,6,2] => [2,6,7,3,1,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,5,1,6,2,3,7] => [7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,6,2,7,3] => [3,7,2,6,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,1,6,3,2,7] => [7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,1,6,3,7,2] => [2,7,3,6,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,1,6,7,2,3] => [3,2,7,6,1,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,5,1,6,7,3,2] => [2,3,7,6,1,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,1,7,2,3,6] => [6,3,2,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,1,7,2,6,3] => [3,6,2,7,1,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,1,7,3,2,6] => [6,2,3,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,1,7,3,6,2] => [2,6,3,7,1,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,5,1,7,6,2,3] => [3,2,6,7,1,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,1,7,6,3,2] => [2,3,6,7,1,5,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,1,3,7,6] => [6,7,3,1,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,2,1,6,3,7] => [7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,1,6,7,3] => [3,7,6,1,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,2,1,7,3,6] => [6,3,7,1,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,2,1,7,6,3] => [3,6,7,1,2,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,3,1,7,6] => [6,7,1,3,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,2,3,7,1,6] => [6,1,7,3,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,2,3,7,6,1] => [1,6,7,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,5,2,6,1,3,7] => [7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,6,1,7,3] => [3,7,1,6,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,2,6,3,1,7] => [7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,2,6,3,7,1] => [1,7,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,2,6,7,1,3] => [3,1,7,6,2,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,5,2,6,7,3,1] => [1,3,7,6,2,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,5,2,7,1,3,6] => [6,3,1,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,2,7,1,6,3] => [3,6,1,7,2,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,2,7,3,1,6] => [6,1,3,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,2,7,3,6,1] => [1,6,3,7,2,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,2,7,6,1,3] => [3,1,6,7,2,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,2,7,6,3,1] => [1,3,6,7,2,5,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,1,2,7,6] => [6,7,2,1,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,3,1,6,2,7] => [7,2,6,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,1,6,7,2] => [2,7,6,1,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,3,1,7,2,6] => [6,2,7,1,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,3,1,7,6,2] => [2,6,7,1,3,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,2,1,7,6] => [6,7,1,2,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,3,2,7,1,6] => [6,1,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[4,5,3,2,7,6,1] => [1,6,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,6,1,7,2] => [2,7,1,6,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,5,3,7,1,2,6] => [6,2,1,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,3,7,1,6,2] => [2,6,1,7,3,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[4,5,3,7,2,1,6] => [6,1,2,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[4,5,3,7,2,6,1] => [1,6,2,7,3,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,7,6,1,2] => [2,1,6,7,3,5,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,1,2,7,3] => [3,7,2,1,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,6,1,3,2,7] => [7,2,3,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,1,3,7,2] => [2,7,3,1,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,6,1,7,2,3] => [3,2,7,1,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,5,6,1,7,3,2] => [2,3,7,1,6,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,2,1,7,3] => [3,7,1,2,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,6,2,7,1,3] => [3,1,7,2,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,5,6,2,7,3,1] => [1,3,7,2,6,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,3,1,7,2] => [2,7,1,3,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,6,7,1,3,2] => [2,3,1,7,6,5,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[4,5,7,1,2,3,6] => [6,3,2,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,1,2,6,3] => [3,6,2,1,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,5,7,1,3,2,6] => [6,2,3,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,1,3,6,2] => [2,6,3,1,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,5,7,1,6,2,3] => [3,2,6,1,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[4,5,7,1,6,3,2] => [2,3,6,1,7,5,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[4,5,7,2,1,3,6] => [6,3,1,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,2,1,6,3] => [3,6,1,2,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[4,5,7,2,3,1,6] => [6,1,3,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,2,3,6,1] => [1,6,3,2,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,7,2,6,1,3] => [3,1,6,2,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[4,5,7,2,6,3,1] => [1,3,6,2,7,5,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[4,5,7,3,1,2,6] => [6,2,1,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,3,1,6,2] => [2,6,1,3,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,5,7,3,2,1,6] => [6,1,2,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[4,5,7,3,2,6,1] => [1,6,2,3,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,7,3,6,1,2] => [2,1,6,3,7,5,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,7,3,6,2,1] => [1,2,6,3,7,5,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[4,5,7,6,1,3,2] => [2,3,1,6,7,5,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[4,5,7,6,2,3,1] => [1,3,2,6,7,5,4] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 1

[4,5,7,6,3,1,2] => [2,1,3,6,7,5,4] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2

[4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 1

[4,6,1,2,3,5,7] => [7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,2,3,7,5] => [5,7,3,2,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,1,2,5,3,7] => [7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,2,5,7,3] => [3,7,5,2,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,1,2,7,3,5] => [5,3,7,2,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,1,2,7,5,3] => [3,5,7,2,1,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,1,3,2,5,7] => [7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,3,2,7,5] => [5,7,2,3,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,1,3,5,2,7] => [7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,3,5,7,2] => [2,7,5,3,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,1,3,7,2,5] => [5,2,7,3,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,1,3,7,5,2] => [2,5,7,3,1,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,1,5,2,3,7] => [7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,5,2,7,3] => [3,7,2,5,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,1,5,3,2,7] => [7,2,3,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,1,5,3,7,2] => [2,7,3,5,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,1,5,7,2,3] => [3,2,7,5,1,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,1,5,7,3,2] => [2,3,7,5,1,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,1,7,2,3,5] => [5,3,2,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,1,7,2,5,3] => [3,5,2,7,1,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,1,7,3,2,5] => [5,2,3,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,1,7,3,5,2] => [2,5,3,7,1,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[4,6,1,7,5,2,3] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,1,7,5,3,2] => [2,3,5,7,1,6,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[4,6,2,1,3,5,7] => [7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,1,3,7,5] => [5,7,3,1,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,2,1,5,3,7] => [7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,1,5,7,3] => [3,7,5,1,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,2,1,7,3,5] => [5,3,7,1,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,2,1,7,5,3] => [3,5,7,1,2,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,2,3,1,5,7] => [7,5,1,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,3,1,7,5] => [5,7,1,3,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,2,3,5,1,7] => [7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,3,5,7,1] => [1,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,3,7,1,5] => [5,1,7,3,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,2,3,7,5,1] => [1,5,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,6,2,5,1,3,7] => [7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,5,1,7,3] => [3,7,1,5,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,2,5,3,1,7] => [7,1,3,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,2,5,3,7,1] => [1,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,5,7,1,3] => [3,1,7,5,2,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,2,5,7,3,1] => [1,3,7,5,2,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,6,2,7,1,3,5] => [5,3,1,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,2,7,1,5,3] => [3,5,1,7,2,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,2,7,3,1,5] => [5,1,3,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,2,7,3,5,1] => [1,5,3,7,2,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,2,7,5,1,3] => [3,1,5,7,2,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,2,7,5,3,1] => [1,3,5,7,2,6,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[4,6,3,1,2,5,7] => [7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,1,2,7,5] => [5,7,2,1,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,3,1,5,2,7] => [7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,1,5,7,2] => [2,7,5,1,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,3,1,7,2,5] => [5,2,7,1,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,3,1,7,5,2] => [2,5,7,1,3,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,3,2,1,5,7] => [7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,2,1,7,5] => [5,7,1,2,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[4,6,3,2,5,1,7] => [7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,2,5,7,1] => [1,7,5,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,3,2,7,1,5] => [5,1,7,2,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[4,6,3,2,7,5,1] => [1,5,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[4,6,3,5,1,2,7] => [7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,5,1,7,2] => [2,7,1,5,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,3,5,2,1,7] => [7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,3,5,2,7,1] => [1,7,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,3,5,7,1,2] => [2,1,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,3,5,7,2,1] => [1,2,7,5,3,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,6,3,7,1,2,5] => [5,2,1,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,3,7,1,5,2] => [2,5,1,7,3,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[4,6,3,7,2,1,5] => [5,1,2,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[4,6,3,7,2,5,1] => [1,5,2,7,3,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,3,7,5,1,2] => [2,1,5,7,3,6,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[4,6,3,7,5,2,1] => [1,2,5,7,3,6,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[4,6,5,1,2,3,7] => [7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,1,2,7,3] => [3,7,2,1,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,5,1,3,2,7] => [7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,1,3,7,2] => [2,7,3,1,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,5,1,7,2,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,5,1,7,3,2] => [2,3,7,1,5,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,5,2,1,3,7] => [7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,2,1,7,3] => [3,7,1,2,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[4,6,5,2,3,1,7] => [7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,2,3,7,1] => [1,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,5,2,7,1,3] => [3,1,7,2,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,6,5,2,7,3,1] => [1,3,7,2,5,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,6,5,3,1,2,7] => [7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,3,1,7,2] => [2,7,1,3,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,6,5,3,2,1,7] => [7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,6,5,3,7,1,2] => [2,1,7,3,5,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,6,5,7,1,2,3] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,5,7,1,3,2] => [2,3,1,7,5,6,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[4,6,5,7,2,1,3] => [3,1,2,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,6,5,7,2,3,1] => [1,3,2,7,5,6,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[4,6,5,7,3,1,2] => [2,1,3,7,5,6,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[4,6,7,1,2,3,5] => [5,3,2,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,1,2,5,3] => [3,5,2,1,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[4,6,7,1,3,2,5] => [5,2,3,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,1,3,5,2] => [2,5,3,1,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,6,7,1,5,2,3] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[4,6,7,1,5,3,2] => [2,3,5,1,7,6,4] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[4,6,7,2,1,3,5] => [5,3,1,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,2,1,5,3] => [3,5,1,2,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[4,6,7,2,3,1,5] => [5,1,3,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,2,5,1,3] => [3,1,5,2,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[4,6,7,2,5,3,1] => [1,3,5,2,7,6,4] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 1

[4,6,7,3,1,2,5] => [5,2,1,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,3,1,5,2] => [2,5,1,3,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[4,6,7,3,2,1,5] => [5,1,2,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[4,6,7,3,5,1,2] => [2,1,5,3,7,6,4] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,6,7,3,5,2,1] => [1,2,5,3,7,6,4] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1

[4,6,7,5,1,2,3] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[4,6,7,5,1,3,2] => [2,3,1,5,7,6,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 2

[4,6,7,5,2,1,3] => [3,1,2,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[4,6,7,5,2,3,1] => [1,3,2,5,7,6,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1

[4,6,7,5,3,1,2] => [2,1,3,5,7,6,4] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 2

[4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1

[4,7,1,2,3,5,6] => [6,5,3,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,2,3,6,5] => [5,6,3,2,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,2,5,3,6] => [6,3,5,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,2,5,6,3] => [3,6,5,2,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,1,2,6,3,5] => [5,3,6,2,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,2,6,5,3] => [3,5,6,2,1,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[4,7,1,3,2,5,6] => [6,5,2,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,3,2,6,5] => [5,6,2,3,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,3,5,2,6] => [6,2,5,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,3,5,6,2] => [2,6,5,3,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,1,3,6,2,5] => [5,2,6,3,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,3,6,5,2] => [2,5,6,3,1,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[4,7,1,5,2,3,6] => [6,3,2,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,5,2,6,3] => [3,6,2,5,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,1,5,3,2,6] => [6,2,3,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,1,5,3,6,2] => [2,6,3,5,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,1,5,6,2,3] => [3,2,6,5,1,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,7,1,5,6,3,2] => [2,3,6,5,1,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,7,1,6,2,3,5] => [5,3,2,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,6,2,5,3] => [3,5,2,6,1,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[4,7,1,6,3,2,5] => [5,2,3,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,1,6,3,5,2] => [2,5,3,6,1,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[4,7,1,6,5,2,3] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 3

[4,7,1,6,5,3,2] => [2,3,5,6,1,7,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[4,7,2,1,3,5,6] => [6,5,3,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,1,3,6,5] => [5,6,3,1,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,1,5,3,6] => [6,3,5,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,1,5,6,3] => [3,6,5,1,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,2,1,6,3,5] => [5,3,6,1,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,1,6,5,3] => [3,5,6,1,2,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => 3

[4,7,2,3,1,5,6] => [6,5,1,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,3,1,6,5] => [5,6,1,3,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,3,5,1,6] => [6,1,5,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,3,5,6,1] => [1,6,5,3,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,3,6,1,5] => [5,1,6,3,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,3,6,5,1] => [1,5,6,3,2,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,5,1,3,6] => [6,3,1,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,5,1,6,3] => [3,6,1,5,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,2,5,3,1,6] => [6,1,3,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,2,5,3,6,1] => [1,6,3,5,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,5,6,1,3] => [3,1,6,5,2,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,7,2,5,6,3,1] => [1,3,6,5,2,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,7,2,6,1,3,5] => [5,3,1,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,6,1,5,3] => [3,5,1,6,2,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => 3

[4,7,2,6,3,1,5] => [5,1,3,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,2,6,5,1,3] => [3,1,5,6,2,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 3

[4,7,3,1,2,5,6] => [6,5,2,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,1,2,6,5] => [5,6,2,1,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,1,5,2,6] => [6,2,5,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,1,5,6,2] => [2,6,5,1,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,3,1,6,2,5] => [5,2,6,1,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,1,6,5,2] => [2,5,6,1,3,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[4,7,3,2,1,5,6] => [6,5,1,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,2,1,6,5] => [5,6,1,2,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,2,5,1,6] => [6,1,5,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,2,5,6,1] => [1,6,5,2,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,3,2,6,1,5] => [5,1,6,2,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,2,6,5,1] => [1,5,6,2,3,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,3,5,1,2,6] => [6,2,1,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,5,1,6,2] => [2,6,1,5,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,3,5,2,1,6] => [6,1,2,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,3,5,2,6,1] => [1,6,2,5,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,3,5,6,2,1] => [1,2,6,5,3,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,7,3,6,1,2,5] => [5,2,1,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,6,1,5,2] => [2,5,1,6,3,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => 2

[4,7,3,6,2,1,5] => [5,1,2,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,3,6,5,1,2] => [2,1,5,6,3,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,7,3,6,5,2,1] => [1,2,5,6,3,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 1

[4,7,5,1,2,3,6] => [6,3,2,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,1,2,6,3] => [3,6,2,1,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,5,1,3,2,6] => [6,2,3,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,1,3,6,2] => [2,6,3,1,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,5,1,6,2,3] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,7,5,1,6,3,2] => [2,3,6,1,5,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,7,5,2,1,3,6] => [6,3,1,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,2,1,6,3] => [3,6,1,2,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[4,7,5,2,3,1,6] => [6,1,3,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,2,3,6,1] => [1,6,3,2,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,5,2,6,1,3] => [3,1,6,2,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[4,7,5,2,6,3,1] => [1,3,6,2,5,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[4,7,5,3,1,2,6] => [6,2,1,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,3,1,6,2] => [2,6,1,3,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,5,3,2,1,6] => [6,1,2,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[4,7,5,3,2,6,1] => [1,6,2,3,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,5,3,6,2,1] => [1,2,6,3,5,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[4,7,5,6,3,2,1] => [1,2,3,6,5,7,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => 1

[4,7,6,1,2,3,5] => [5,3,2,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,1,2,5,3] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[4,7,6,1,3,2,5] => [5,2,3,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,1,3,5,2] => [2,5,3,1,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[4,7,6,1,5,2,3] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => 3

[4,7,6,1,5,3,2] => [2,3,5,1,6,7,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => 2

[4,7,6,2,1,3,5] => [5,3,1,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,2,1,5,3] => [3,5,1,2,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => 3

[4,7,6,2,3,1,5] => [5,1,3,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,2,3,5,1] => [1,5,3,2,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,2,5,1,3] => [3,1,5,2,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => 3

[4,7,6,3,1,2,5] => [5,2,1,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,3,1,5,2] => [2,5,1,3,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => 2

[4,7,6,3,2,1,5] => [5,1,2,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[4,7,6,3,2,5,1] => [1,5,2,3,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,3,5,2,1] => [1,2,5,3,6,7,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => 1

[4,7,6,5,1,2,3] => [3,2,1,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[4,7,6,5,2,1,3] => [3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[4,7,6,5,3,1,2] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 2

[4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => 1

[5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,3,4,7,6] => [6,7,4,3,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,2,3,6,4,7] => [7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,3,6,7,4] => [4,7,6,3,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,2,3,7,4,6] => [6,4,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,2,3,7,6,4] => [4,6,7,3,2,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,1,2,4,3,6,7] => [7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,4,3,7,6] => [6,7,3,4,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,2,4,6,3,7] => [7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,4,6,7,3] => [3,7,6,4,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,2,4,7,3,6] => [6,3,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,2,4,7,6,3] => [3,6,7,4,2,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,1,2,6,3,4,7] => [7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,6,3,7,4] => [4,7,3,6,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,2,6,4,3,7] => [7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,2,6,4,7,3] => [3,7,4,6,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,2,6,7,3,4] => [4,3,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,1,2,6,7,4,3] => [3,4,7,6,2,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,1,2,7,3,4,6] => [6,4,3,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,2,7,3,6,4] => [4,6,3,7,2,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,2,7,4,3,6] => [6,3,4,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,2,7,4,6,3] => [3,6,4,7,2,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,2,7,6,3,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,2,7,6,4,3] => [3,4,6,7,2,1,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,3,2,4,6,7] => [7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,2,4,7,6] => [6,7,4,2,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,3,2,6,4,7] => [7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,2,6,7,4] => [4,7,6,2,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,3,2,7,4,6] => [6,4,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,3,2,7,6,4] => [4,6,7,2,3,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,1,3,4,2,6,7] => [7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,4,2,7,6] => [6,7,2,4,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,3,4,6,2,7] => [7,2,6,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,4,6,7,2] => [2,7,6,4,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,3,4,7,2,6] => [6,2,7,4,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,3,4,7,6,2] => [2,6,7,4,3,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,1,3,6,2,4,7] => [7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,6,2,7,4] => [4,7,2,6,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,3,6,4,2,7] => [7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,3,6,4,7,2] => [2,7,4,6,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,3,6,7,2,4] => [4,2,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,1,3,6,7,4,2] => [2,4,7,6,3,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,1,3,7,2,4,6] => [6,4,2,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,3,7,2,6,4] => [4,6,2,7,3,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,3,7,4,2,6] => [6,2,4,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,3,7,4,6,2] => [2,6,4,7,3,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,1,3,7,6,2,4] => [4,2,6,7,3,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,3,7,6,4,2] => [2,4,6,7,3,1,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,1,4,2,3,6,7] => [7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,2,3,7,6] => [6,7,3,2,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,4,2,6,3,7] => [7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,2,6,7,3] => [3,7,6,2,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,4,2,7,3,6] => [6,3,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,4,2,7,6,3] => [3,6,7,2,4,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,1,4,3,2,6,7] => [7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,3,2,7,6] => [6,7,2,3,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,1,4,3,6,2,7] => [7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,3,6,7,2] => [2,7,6,3,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,4,3,7,2,6] => [6,2,7,3,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,1,4,3,7,6,2] => [2,6,7,3,4,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,1,4,6,2,3,7] => [7,3,2,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,6,2,7,3] => [3,7,2,6,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,4,6,3,2,7] => [7,2,3,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,4,6,3,7,2] => [2,7,3,6,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,4,6,7,2,3] => [3,2,7,6,4,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,1,4,6,7,3,2] => [2,3,7,6,4,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,1,4,7,2,3,6] => [6,3,2,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,4,7,2,6,3] => [3,6,2,7,4,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,4,7,3,2,6] => [6,2,3,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,1,4,7,3,6,2] => [2,6,3,7,4,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,1,4,7,6,2,3] => [3,2,6,7,4,1,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,4,7,6,3,2] => [2,3,6,7,4,1,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,1,6,2,3,4,7] => [7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,2,3,7,4] => [4,7,3,2,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,6,2,4,3,7] => [7,3,4,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,2,4,7,3] => [3,7,4,2,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,6,2,7,3,4] => [4,3,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,1,6,2,7,4,3] => [3,4,7,2,6,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,1,6,3,2,4,7] => [7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,3,2,7,4] => [4,7,2,3,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,1,6,3,4,2,7] => [7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,3,4,7,2] => [2,7,4,3,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,6,3,7,2,4] => [4,2,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,1,6,3,7,4,2] => [2,4,7,3,6,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,1,6,4,2,3,7] => [7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,4,2,7,3] => [3,7,2,4,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,6,4,3,2,7] => [7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,1,6,4,3,7,2] => [2,7,3,4,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,1,6,4,7,2,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,1,6,4,7,3,2] => [2,3,7,4,6,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,1,6,7,2,3,4] => [4,3,2,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,6,7,2,4,3] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,6,7,3,2,4] => [4,2,3,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,1,6,7,3,4,2] => [2,4,3,7,6,1,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,1,6,7,4,2,3] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,6,7,4,3,2] => [2,3,4,7,6,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[5,1,7,2,3,4,6] => [6,4,3,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,2,3,6,4] => [4,6,3,2,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,2,4,3,6] => [6,3,4,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,2,4,6,3] => [3,6,4,2,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,1,7,2,6,3,4] => [4,3,6,2,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,2,6,4,3] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[5,1,7,3,2,4,6] => [6,4,2,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,3,2,6,4] => [4,6,2,3,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,3,4,2,6] => [6,2,4,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,3,4,6,2] => [2,6,4,3,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,1,7,3,6,2,4] => [4,2,6,3,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,3,6,4,2] => [2,4,6,3,7,1,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[5,1,7,4,2,3,6] => [6,3,2,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,4,2,6,3] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,1,7,4,3,2,6] => [6,2,3,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,1,7,4,3,6,2] => [2,6,3,4,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,1,7,4,6,2,3] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[5,1,7,4,6,3,2] => [2,3,6,4,7,1,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[5,1,7,6,2,3,4] => [4,3,2,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,6,2,4,3] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[5,1,7,6,3,2,4] => [4,2,3,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,1,7,6,3,4,2] => [2,4,3,6,7,1,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,1,7,6,4,2,3] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[5,1,7,6,4,3,2] => [2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2

[5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,3,4,7,6] => [6,7,4,3,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,1,3,6,4,7] => [7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,3,6,7,4] => [4,7,6,3,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,1,3,7,4,6] => [6,4,7,3,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,1,3,7,6,4] => [4,6,7,3,1,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,2,1,4,3,6,7] => [7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,4,3,7,6] => [6,7,3,4,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,1,4,6,3,7] => [7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,4,6,7,3] => [3,7,6,4,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,1,4,7,3,6] => [6,3,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,1,4,7,6,3] => [3,6,7,4,1,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,2,1,6,3,4,7] => [7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,6,3,7,4] => [4,7,3,6,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,1,6,4,3,7] => [7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,1,6,4,7,3] => [3,7,4,6,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,1,6,7,3,4] => [4,3,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,2,1,6,7,4,3] => [3,4,7,6,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,2,1,7,3,4,6] => [6,4,3,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,1,7,3,6,4] => [4,6,3,7,1,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,1,7,4,3,6] => [6,3,4,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,1,7,4,6,3] => [3,6,4,7,1,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,1,7,6,3,4] => [4,3,6,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,1,7,6,4,3] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,1,4,7,6] => [6,7,4,1,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,3,1,6,4,7] => [7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,1,6,7,4] => [4,7,6,1,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,3,1,7,4,6] => [6,4,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,3,1,7,6,4] => [4,6,7,1,3,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,4,1,7,6] => [6,7,1,4,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,3,4,7,1,6] => [6,1,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,3,4,7,6,1] => [1,6,7,4,3,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,2,3,6,1,4,7] => [7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,6,1,7,4] => [4,7,1,6,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,3,6,4,1,7] => [7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,3,6,4,7,1] => [1,7,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,3,6,7,1,4] => [4,1,7,6,3,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,2,3,6,7,4,1] => [1,4,7,6,3,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,2,3,7,1,4,6] => [6,4,1,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,3,7,1,6,4] => [4,6,1,7,3,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,3,7,4,1,6] => [6,1,4,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,3,7,4,6,1] => [1,6,4,7,3,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,3,7,6,1,4] => [4,1,6,7,3,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,3,7,6,4,1] => [1,4,6,7,3,2,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,4,1,3,6,7] => [7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,1,3,7,6] => [6,7,3,1,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,4,1,6,3,7] => [7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,1,6,7,3] => [3,7,6,1,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,4,1,7,3,6] => [6,3,7,1,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,4,1,7,6,3] => [3,6,7,1,4,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,2,4,3,1,6,7] => [7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,3,1,7,6] => [6,7,1,3,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,2,4,3,6,1,7] => [7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,3,6,7,1] => [1,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,4,3,7,1,6] => [6,1,7,3,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,2,4,3,7,6,1] => [1,6,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,2,4,6,1,3,7] => [7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,6,1,7,3] => [3,7,1,6,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,4,6,3,1,7] => [7,1,3,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,4,6,3,7,1] => [1,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,4,6,7,1,3] => [3,1,7,6,4,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,2,4,6,7,3,1] => [1,3,7,6,4,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,2,4,7,1,3,6] => [6,3,1,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,4,7,1,6,3] => [3,6,1,7,4,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,4,7,3,1,6] => [6,1,3,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,2,4,7,3,6,1] => [1,6,3,7,4,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,4,7,6,1,3] => [3,1,6,7,4,2,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,4,7,6,3,1] => [1,3,6,7,4,2,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[5,2,6,1,3,4,7] => [7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,1,3,7,4] => [4,7,3,1,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,6,1,4,3,7] => [7,3,4,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,1,4,7,3] => [3,7,4,1,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,6,1,7,3,4] => [4,3,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,2,6,1,7,4,3] => [3,4,7,1,6,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,2,6,3,1,4,7] => [7,4,1,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,3,1,7,4] => [4,7,1,3,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,2,6,3,4,1,7] => [7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,3,4,7,1] => [1,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,6,3,7,1,4] => [4,1,7,3,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,2,6,3,7,4,1] => [1,4,7,3,6,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,2,6,4,1,3,7] => [7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,4,1,7,3] => [3,7,1,4,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,6,4,3,1,7] => [7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,2,6,4,3,7,1] => [1,7,3,4,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,2,6,4,7,1,3] => [3,1,7,4,6,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,2,6,4,7,3,1] => [1,3,7,4,6,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,2,6,7,1,3,4] => [4,3,1,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,6,7,1,4,3] => [3,4,1,7,6,2,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,6,7,3,1,4] => [4,1,3,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,2,6,7,3,4,1] => [1,4,3,7,6,2,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,6,7,4,1,3] => [3,1,4,7,6,2,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,6,7,4,3,1] => [1,3,4,7,6,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[5,2,7,1,3,4,6] => [6,4,3,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,1,3,6,4] => [4,6,3,1,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,1,4,3,6] => [6,3,4,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,1,4,6,3] => [3,6,4,1,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,2,7,1,6,3,4] => [4,3,6,1,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,1,6,4,3] => [3,4,6,1,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 3

[5,2,7,3,1,4,6] => [6,4,1,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,3,1,6,4] => [4,6,1,3,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,3,4,1,6] => [6,1,4,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,3,4,6,1] => [1,6,4,3,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,7,3,6,1,4] => [4,1,6,3,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,3,6,4,1] => [1,4,6,3,7,2,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,7,4,1,3,6] => [6,3,1,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,4,1,6,3] => [3,6,1,4,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,2,7,4,3,1,6] => [6,1,3,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,2,7,4,3,6,1] => [1,6,3,4,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,7,4,6,1,3] => [3,1,6,4,7,2,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[5,2,7,4,6,3,1] => [1,3,6,4,7,2,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[5,2,7,6,1,3,4] => [4,3,1,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,6,1,4,3] => [3,4,1,6,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3

[5,2,7,6,3,1,4] => [4,1,3,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,2,7,6,3,4,1] => [1,4,3,6,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,7,6,4,1,3] => [3,1,4,6,7,2,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => 3

[5,2,7,6,4,3,1] => [1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 1

[5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,2,4,7,6] => [6,7,4,2,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,1,2,6,4,7] => [7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,2,6,7,4] => [4,7,6,2,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,1,2,7,4,6] => [6,4,7,2,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,1,2,7,6,4] => [4,6,7,2,1,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,3,1,4,2,6,7] => [7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,4,2,7,6] => [6,7,2,4,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,1,4,6,2,7] => [7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,4,6,7,2] => [2,7,6,4,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,1,4,7,2,6] => [6,2,7,4,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,1,4,7,6,2] => [2,6,7,4,1,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,3,1,6,2,4,7] => [7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,6,2,7,4] => [4,7,2,6,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,1,6,4,2,7] => [7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,1,6,4,7,2] => [2,7,4,6,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,1,6,7,2,4] => [4,2,7,6,1,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,3,1,6,7,4,2] => [2,4,7,6,1,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,3,1,7,2,4,6] => [6,4,2,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,1,7,2,6,4] => [4,6,2,7,1,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,1,7,4,2,6] => [6,2,4,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,1,7,4,6,2] => [2,6,4,7,1,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,3,1,7,6,2,4] => [4,2,6,7,1,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,1,7,6,4,2] => [2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,1,4,7,6] => [6,7,4,1,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,2,1,6,4,7] => [7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,1,6,7,4] => [4,7,6,1,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,2,1,7,4,6] => [6,4,7,1,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,2,1,7,6,4] => [4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 4

[5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,4,1,7,6] => [6,7,1,4,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,2,4,7,1,6] => [6,1,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,2,4,7,6,1] => [1,6,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,3,2,6,1,4,7] => [7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,6,1,7,4] => [4,7,1,6,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,2,6,4,1,7] => [7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,2,6,4,7,1] => [1,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,2,6,7,1,4] => [4,1,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,3,2,6,7,4,1] => [1,4,7,6,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,3,2,7,1,4,6] => [6,4,1,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,2,7,1,6,4] => [4,6,1,7,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,2,7,4,1,6] => [6,1,4,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,2,7,4,6,1] => [1,6,4,7,2,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,2,7,6,1,4] => [4,1,6,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,2,7,6,4,1] => [1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,1,2,7,6] => [6,7,2,1,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,4,1,6,2,7] => [7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,1,6,7,2] => [2,7,6,1,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,4,1,7,2,6] => [6,2,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,4,1,7,6,2] => [2,6,7,1,4,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,2,1,7,6] => [6,7,1,2,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,4,2,7,1,6] => [6,1,7,2,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,3,4,2,7,6,1] => [1,6,7,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,6,1,7,2] => [2,7,1,6,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,3,4,7,1,2,6] => [6,2,1,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,4,7,1,6,2] => [2,6,1,7,4,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,3,4,7,2,1,6] => [6,1,2,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,3,4,7,2,6,1] => [1,6,2,7,4,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,4,7,6,1,2] => [2,1,6,7,4,3,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,3,4,7,6,2,1] => [1,2,6,7,4,3,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[5,3,6,1,2,4,7] => [7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,1,2,7,4] => [4,7,2,1,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,6,1,4,2,7] => [7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,1,4,7,2] => [2,7,4,1,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,6,1,7,2,4] => [4,2,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,3,6,1,7,4,2] => [2,4,7,1,6,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,3,6,2,1,4,7] => [7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,2,1,7,4] => [4,7,1,2,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,3,6,2,4,1,7] => [7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,2,4,7,1] => [1,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,6,2,7,1,4] => [4,1,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,3,6,2,7,4,1] => [1,4,7,2,6,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,3,6,4,1,2,7] => [7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,4,1,7,2] => [2,7,1,4,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,3,6,4,2,1,7] => [7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,3,6,4,2,7,1] => [1,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,3,6,4,7,1,2] => [2,1,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,3,6,4,7,2,1] => [1,2,7,4,6,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,3,6,7,1,2,4] => [4,2,1,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,6,7,1,4,2] => [2,4,1,7,6,3,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,3,6,7,2,1,4] => [4,1,2,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,3,6,7,2,4,1] => [1,4,2,7,6,3,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,6,7,4,1,2] => [2,1,4,7,6,3,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[5,3,6,7,4,2,1] => [1,2,4,7,6,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[5,3,7,1,2,4,6] => [6,4,2,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,1,2,6,4] => [4,6,2,1,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,1,4,2,6] => [6,2,4,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,1,4,6,2] => [2,6,4,1,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,3,7,1,6,2,4] => [4,2,6,1,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,1,6,4,2] => [2,4,6,1,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[5,3,7,2,1,4,6] => [6,4,1,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,2,1,6,4] => [4,6,1,2,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,2,4,1,6] => [6,1,4,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,2,4,6,1] => [1,6,4,2,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,3,7,2,6,1,4] => [4,1,6,2,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,2,6,4,1] => [1,4,6,2,7,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,3,7,4,1,2,6] => [6,2,1,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,4,1,6,2] => [2,6,1,4,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,3,7,4,2,1,6] => [6,1,2,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,3,7,4,2,6,1] => [1,6,2,4,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,3,7,4,6,1,2] => [2,1,6,4,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,3,7,4,6,2,1] => [1,2,6,4,7,3,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[5,3,7,6,1,2,4] => [4,2,1,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,6,1,4,2] => [2,4,1,6,7,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,3,7,6,2,1,4] => [4,1,2,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,3,7,6,2,4,1] => [1,4,2,6,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,3,7,6,4,1,2] => [2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[5,3,7,6,4,2,1] => [1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 1

[5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,2,3,7,6] => [6,7,3,2,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,1,2,6,3,7] => [7,3,6,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,2,6,7,3] => [3,7,6,2,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,1,2,7,3,6] => [6,3,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,1,2,7,6,3] => [3,6,7,2,1,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,4,1,3,2,6,7] => [7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,3,2,7,6] => [6,7,2,3,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,1,3,6,2,7] => [7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,3,6,7,2] => [2,7,6,3,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,1,3,7,2,6] => [6,2,7,3,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,1,3,7,6,2] => [2,6,7,3,1,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,4,1,6,2,3,7] => [7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,6,2,7,3] => [3,7,2,6,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,1,6,3,2,7] => [7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,1,6,3,7,2] => [2,7,3,6,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,1,6,7,2,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,4,1,6,7,3,2] => [2,3,7,6,1,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,4,1,7,2,3,6] => [6,3,2,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,1,7,2,6,3] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,1,7,3,2,6] => [6,2,3,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,1,7,3,6,2] => [2,6,3,7,1,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,4,1,7,6,2,3] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,1,7,6,3,2] => [2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,1,3,7,6] => [6,7,3,1,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,2,1,6,3,7] => [7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,1,6,7,3] => [3,7,6,1,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,2,1,7,3,6] => [6,3,7,1,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,2,1,7,6,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3

[5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,3,1,7,6] => [6,7,1,3,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,2,3,7,1,6] => [6,1,7,3,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,2,3,7,6,1] => [1,6,7,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,4,2,6,1,3,7] => [7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,6,1,7,3] => [3,7,1,6,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,2,6,3,1,7] => [7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,2,6,3,7,1] => [1,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,2,6,7,1,3] => [3,1,7,6,2,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,4,2,6,7,3,1] => [1,3,7,6,2,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,4,2,7,1,3,6] => [6,3,1,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,2,7,1,6,3] => [3,6,1,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,2,7,3,1,6] => [6,1,3,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,2,7,3,6,1] => [1,6,3,7,2,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,4,2,7,6,1,3] => [3,1,6,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,2,7,6,3,1] => [1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,1,2,7,6] => [6,7,2,1,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,3,1,6,2,7] => [7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,1,6,7,2] => [2,7,6,1,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,3,1,7,2,6] => [6,2,7,1,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,3,1,7,6,2] => [2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,2,1,7,6] => [6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6

[5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,3,2,7,1,6] => [6,1,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6

[5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,6,1,7,2] => [2,7,1,6,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,4,3,7,1,2,6] => [6,2,1,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,3,7,1,6,2] => [2,6,1,7,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2

[5,4,3,7,2,1,6] => [6,1,2,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6

[5,4,3,7,2,6,1] => [1,6,2,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,4,3,7,6,1,2] => [2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1

[5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,1,2,7,3] => [3,7,2,1,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,6,1,3,2,7] => [7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,1,3,7,2] => [2,7,3,1,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,6,1,7,2,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,4,6,1,7,3,2] => [2,3,7,1,6,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,2,1,7,3] => [3,7,1,2,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,6,2,7,1,3] => [3,1,7,2,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,4,6,2,7,3,1] => [1,3,7,2,6,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,3,1,7,2] => [2,7,1,3,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,6,7,1,3,2] => [2,3,1,7,6,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[5,4,7,1,2,3,6] => [6,3,2,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,1,2,6,3] => [3,6,2,1,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,4,7,1,3,2,6] => [6,2,3,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,1,3,6,2] => [2,6,3,1,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,4,7,1,6,2,3] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[5,4,7,1,6,3,2] => [2,3,6,1,7,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[5,4,7,2,1,3,6] => [6,3,1,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,2,1,6,3] => [3,6,1,2,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 3

[5,4,7,2,3,1,6] => [6,1,3,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,2,3,6,1] => [1,6,3,2,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,7,2,6,1,3] => [3,1,6,2,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 3

[5,4,7,2,6,3,1] => [1,3,6,2,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[5,4,7,3,1,2,6] => [6,2,1,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,3,1,6,2] => [2,6,1,3,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,4,7,3,2,1,6] => [6,1,2,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6

[5,4,7,3,2,6,1] => [1,6,2,3,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,7,3,6,1,2] => [2,1,6,3,7,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,4,7,3,6,2,1] => [1,2,6,3,7,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[5,4,7,6,1,3,2] => [2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[5,4,7,6,2,3,1] => [1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 1

[5,4,7,6,3,1,2] => [2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2

[5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 1

[5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,2,3,7,4] => [4,7,3,2,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,1,2,4,3,7] => [7,3,4,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,2,4,7,3] => [3,7,4,2,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,1,2,7,3,4] => [4,3,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,1,2,7,4,3] => [3,4,7,2,1,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,1,3,2,4,7] => [7,4,2,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,3,2,7,4] => [4,7,2,3,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,1,3,4,2,7] => [7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,3,4,7,2] => [2,7,4,3,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,1,3,7,2,4] => [4,2,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,1,3,7,4,2] => [2,4,7,3,1,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,1,4,2,3,7] => [7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,4,2,7,3] => [3,7,2,4,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,1,4,3,2,7] => [7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,1,4,3,7,2] => [2,7,3,4,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,1,4,7,2,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,1,4,7,3,2] => [2,3,7,4,1,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,1,7,2,3,4] => [4,3,2,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,1,7,2,4,3] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,1,7,3,2,4] => [4,2,3,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,1,7,3,4,2] => [2,4,3,7,1,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,6,1,7,4,2,3] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,1,7,4,3,2] => [2,3,4,7,1,6,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,1,3,7,4] => [4,7,3,1,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,2,1,4,3,7] => [7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,1,4,7,3] => [3,7,4,1,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,2,1,7,3,4] => [4,3,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,2,1,7,4,3] => [3,4,7,1,2,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,3,1,7,4] => [4,7,1,3,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,2,3,7,1,4] => [4,1,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,2,3,7,4,1] => [1,4,7,3,2,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,6,2,4,1,3,7] => [7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,4,1,7,3] => [3,7,1,4,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,2,4,3,1,7] => [7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,2,4,3,7,1] => [1,7,3,4,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,2,4,7,1,3] => [3,1,7,4,2,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,2,4,7,3,1] => [1,3,7,4,2,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,6,2,7,1,3,4] => [4,3,1,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,2,7,1,4,3] => [3,4,1,7,2,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,2,7,3,1,4] => [4,1,3,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,2,7,3,4,1] => [1,4,3,7,2,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,6,2,7,4,1,3] => [3,1,4,7,2,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,2,7,4,3,1] => [1,3,4,7,2,6,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,1,2,7,4] => [4,7,2,1,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,3,1,4,2,7] => [7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,1,4,7,2] => [2,7,4,1,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,3,1,7,2,4] => [4,2,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,3,1,7,4,2] => [2,4,7,1,3,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,2,1,7,4] => [4,7,1,2,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,3,2,7,1,4] => [4,1,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,3,2,7,4,1] => [1,4,7,2,3,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,4,1,7,2] => [2,7,1,4,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,6,3,7,1,2,4] => [4,2,1,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,3,7,1,4,2] => [2,4,1,7,3,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[5,6,3,7,2,1,4] => [4,1,2,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[5,6,3,7,2,4,1] => [1,4,2,7,3,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,6,3,7,4,1,2] => [2,1,4,7,3,6,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[5,6,3,7,4,2,1] => [1,2,4,7,3,6,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,1,2,7,3] => [3,7,2,1,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,4,1,3,2,7] => [7,2,3,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,1,3,7,2] => [2,7,3,1,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,4,1,7,2,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,4,1,7,3,2] => [2,3,7,1,4,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,2,1,7,3] => [3,7,1,2,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,4,2,7,1,3] => [3,1,7,2,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,6,4,2,7,3,1] => [1,3,7,2,4,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,3,1,7,2] => [2,7,1,3,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,4,7,1,3,2] => [2,3,1,7,4,6,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,1,3,2,4] => [4,2,3,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,1,4,2,3] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[5,6,7,1,4,3,2] => [2,3,4,1,7,6,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 2

[5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => 1

[5,6,7,2,4,1,3] => [3,1,4,2,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[5,6,7,2,4,3,1] => [1,3,4,2,7,6,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1

[5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => 1

[5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2

[5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1

[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3

[5,6,7,4,1,3,2] => [2,3,1,4,7,6,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 2

[5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3

[5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2

[5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1

[5,7,1,2,3,4,6] => [6,4,3,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,2,3,6,4] => [4,6,3,2,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,1,2,4,3,6] => [6,3,4,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,2,4,6,3] => [3,6,4,2,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,1,2,6,3,4] => [4,3,6,2,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,1,2,6,4,3] => [3,4,6,2,1,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[5,7,1,3,2,4,6] => [6,4,2,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,3,2,6,4] => [4,6,2,3,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,1,3,4,2,6] => [6,2,4,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,3,4,6,2] => [2,6,4,3,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,1,3,6,2,4] => [4,2,6,3,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,1,3,6,4,2] => [2,4,6,3,1,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,7,1,4,2,3,6] => [6,3,2,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,4,2,6,3] => [3,6,2,4,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,1,4,3,2,6] => [6,2,3,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,1,4,3,6,2] => [2,6,3,4,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,1,4,6,2,3] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,7,1,4,6,3,2] => [2,3,6,4,1,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,7,1,6,2,3,4] => [4,3,2,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,1,6,2,4,3] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,7,1,6,3,2,4] => [4,2,3,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,1,6,3,4,2] => [2,4,3,6,1,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[5,7,1,6,4,2,3] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,7,1,6,4,3,2] => [2,3,4,6,1,7,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[5,7,2,1,3,4,6] => [6,4,3,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,1,3,6,4] => [4,6,3,1,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,2,1,4,3,6] => [6,3,4,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,1,4,6,3] => [3,6,4,1,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,2,1,6,3,4] => [4,3,6,1,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,2,1,6,4,3] => [3,4,6,1,2,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => 3

[5,7,2,3,1,4,6] => [6,4,1,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,3,1,6,4] => [4,6,1,3,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,2,3,4,1,6] => [6,1,4,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,3,4,6,1] => [1,6,4,3,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,2,3,6,1,4] => [4,1,6,3,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,2,3,6,4,1] => [1,4,6,3,2,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,7,2,4,1,3,6] => [6,3,1,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,4,1,6,3] => [3,6,1,4,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,2,4,3,1,6] => [6,1,3,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,2,4,3,6,1] => [1,6,3,4,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,2,4,6,1,3] => [3,1,6,4,2,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,7,2,4,6,3,1] => [1,3,6,4,2,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,7,2,6,1,3,4] => [4,3,1,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,2,6,1,4,3] => [3,4,1,6,2,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,7,2,6,3,1,4] => [4,1,3,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,2,6,4,1,3] => [3,1,4,6,2,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,7,3,1,2,4,6] => [6,4,2,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,1,2,6,4] => [4,6,2,1,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,3,1,4,2,6] => [6,2,4,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,1,4,6,2] => [2,6,4,1,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,3,1,6,2,4] => [4,2,6,1,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,3,1,6,4,2] => [2,4,6,1,3,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,7,3,2,1,4,6] => [6,4,1,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,2,1,6,4] => [4,6,1,2,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 4

[5,7,3,2,4,1,6] => [6,1,4,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,2,4,6,1] => [1,6,4,2,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,3,2,6,1,4] => [4,1,6,2,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => 4

[5,7,3,2,6,4,1] => [1,4,6,2,3,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => 1

[5,7,3,4,1,2,6] => [6,2,1,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,4,1,6,2] => [2,6,1,4,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,3,4,2,1,6] => [6,1,2,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,3,4,2,6,1] => [1,6,2,4,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,3,4,6,2,1] => [1,2,6,4,3,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,7,3,6,1,2,4] => [4,2,1,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,3,6,1,4,2] => [2,4,1,6,3,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[5,7,3,6,2,1,4] => [4,1,2,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4

[5,7,4,1,2,3,6] => [6,3,2,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,1,2,6,3] => [3,6,2,1,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,4,1,3,2,6] => [6,2,3,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,1,3,6,2] => [2,6,3,1,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,4,1,6,2,3] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,7,4,1,6,3,2] => [2,3,6,1,4,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,7,4,2,1,3,6] => [6,3,1,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,2,1,6,3] => [3,6,1,2,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 3

[5,7,4,2,3,1,6] => [6,1,3,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,2,3,6,1] => [1,6,3,2,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,4,2,6,1,3] => [3,1,6,2,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 3

[5,7,4,2,6,3,1] => [1,3,6,2,4,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[5,7,4,3,1,2,6] => [6,2,1,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,3,1,6,2] => [2,6,1,3,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,4,3,2,1,6] => [6,1,2,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6

[5,7,4,3,2,6,1] => [1,6,2,3,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,7,4,3,6,2,1] => [1,2,6,3,4,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,7,4,6,3,2,1] => [1,2,3,6,4,7,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => 1

[5,7,6,1,2,3,4] => [4,3,2,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,1,3,2,4] => [4,2,3,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,2,1,3,4] => [4,3,1,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,2,3,1,4] => [4,1,3,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,3,1,2,4] => [4,2,1,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,3,2,1,4] => [4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[5,7,6,4,2,3,1] => [1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1

[6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,3,4,7,5] => [5,7,4,3,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,2,3,5,4,7] => [7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,3,5,7,4] => [4,7,5,3,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,2,3,7,4,5] => [5,4,7,3,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,2,3,7,5,4] => [4,5,7,3,2,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,2,4,3,5,7] => [7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,4,3,7,5] => [5,7,3,4,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,2,4,5,3,7] => [7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,4,5,7,3] => [3,7,5,4,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,2,4,7,3,5] => [5,3,7,4,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,2,4,7,5,3] => [3,5,7,4,2,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,2,5,3,4,7] => [7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,5,3,7,4] => [4,7,3,5,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,2,5,4,3,7] => [7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,2,5,4,7,3] => [3,7,4,5,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,2,5,7,3,4] => [4,3,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,2,5,7,4,3] => [3,4,7,5,2,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,2,7,3,4,5] => [5,4,3,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,2,7,3,5,4] => [4,5,3,7,2,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,2,7,4,3,5] => [5,3,4,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,2,7,4,5,3] => [3,5,4,7,2,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,2,7,5,3,4] => [4,3,5,7,2,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,2,7,5,4,3] => [3,4,5,7,2,1,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,3,2,4,5,7] => [7,5,4,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,2,4,7,5] => [5,7,4,2,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,3,2,5,4,7] => [7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,2,5,7,4] => [4,7,5,2,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,3,2,7,4,5] => [5,4,7,2,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,3,2,7,5,4] => [4,5,7,2,3,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,3,4,2,5,7] => [7,5,2,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,4,2,7,5] => [5,7,2,4,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,3,4,5,2,7] => [7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,4,5,7,2] => [2,7,5,4,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,3,4,7,2,5] => [5,2,7,4,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,3,4,7,5,2] => [2,5,7,4,3,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,3,5,2,4,7] => [7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,5,2,7,4] => [4,7,2,5,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,3,5,4,2,7] => [7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,3,5,4,7,2] => [2,7,4,5,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,3,5,7,2,4] => [4,2,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,3,5,7,4,2] => [2,4,7,5,3,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,3,7,2,4,5] => [5,4,2,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,3,7,2,5,4] => [4,5,2,7,3,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,3,7,4,2,5] => [5,2,4,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,3,7,4,5,2] => [2,5,4,7,3,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,1,3,7,5,2,4] => [4,2,5,7,3,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,3,7,5,4,2] => [2,4,5,7,3,1,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[6,1,4,2,3,5,7] => [7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,2,3,7,5] => [5,7,3,2,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,4,2,5,3,7] => [7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,2,5,7,3] => [3,7,5,2,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,4,2,7,3,5] => [5,3,7,2,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,4,2,7,5,3] => [3,5,7,2,4,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,4,3,2,5,7] => [7,5,2,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,3,2,7,5] => [5,7,2,3,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,1,4,3,5,2,7] => [7,2,5,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,3,5,7,2] => [2,7,5,3,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,4,3,7,2,5] => [5,2,7,3,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,1,4,3,7,5,2] => [2,5,7,3,4,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,4,5,2,3,7] => [7,3,2,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,5,2,7,3] => [3,7,2,5,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,4,5,3,2,7] => [7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,4,5,3,7,2] => [2,7,3,5,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,4,5,7,2,3] => [3,2,7,5,4,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,4,5,7,3,2] => [2,3,7,5,4,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,4,7,2,3,5] => [5,3,2,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,4,7,2,5,3] => [3,5,2,7,4,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,4,7,3,2,5] => [5,2,3,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,1,4,7,3,5,2] => [2,5,3,7,4,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,1,4,7,5,2,3] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,4,7,5,3,2] => [2,3,5,7,4,1,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[6,1,5,2,3,4,7] => [7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,2,3,7,4] => [4,7,3,2,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,5,2,4,3,7] => [7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,2,4,7,3] => [3,7,4,2,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,5,2,7,3,4] => [4,3,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,5,2,7,4,3] => [3,4,7,2,5,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,5,3,2,4,7] => [7,4,2,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,3,2,7,4] => [4,7,2,3,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,1,5,3,4,2,7] => [7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,3,4,7,2] => [2,7,4,3,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,5,3,7,2,4] => [4,2,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,1,5,3,7,4,2] => [2,4,7,3,5,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,5,4,2,3,7] => [7,3,2,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,4,2,7,3] => [3,7,2,4,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,1,5,4,3,2,7] => [7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,1,5,4,3,7,2] => [2,7,3,4,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,1,5,4,7,2,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,1,5,4,7,3,2] => [2,3,7,4,5,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,5,7,2,3,4] => [4,3,2,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,5,7,2,4,3] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,5,7,3,2,4] => [4,2,3,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,1,5,7,3,4,2] => [2,4,3,7,5,1,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,1,5,7,4,2,3] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,1,5,7,4,3,2] => [2,3,4,7,5,1,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[6,1,7,2,3,4,5] => [5,4,3,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,2,3,5,4] => [4,5,3,2,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,2,4,3,5] => [5,3,4,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,2,4,5,3] => [3,5,4,2,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,1,7,2,5,3,4] => [4,3,5,2,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,2,5,4,3] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3

[6,1,7,3,2,4,5] => [5,4,2,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,3,2,5,4] => [4,5,2,3,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,3,4,2,5] => [5,2,4,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,3,4,5,2] => [2,5,4,3,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,1,7,3,5,2,4] => [4,2,5,3,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,3,5,4,2] => [2,4,5,3,7,1,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[6,1,7,4,2,3,5] => [5,3,2,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,4,2,5,3] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,1,7,4,3,2,5] => [5,2,3,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,1,7,4,3,5,2] => [2,5,3,4,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,1,7,4,5,2,3] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,1,7,4,5,3,2] => [2,3,5,4,7,1,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[6,1,7,5,2,3,4] => [4,3,2,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,5,2,4,3] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 3

[6,1,7,5,3,2,4] => [4,2,3,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,1,7,5,3,4,2] => [2,4,3,5,7,1,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,1,7,5,4,2,3] => [3,2,4,5,7,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3

[6,1,7,5,4,3,2] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 2

[6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,3,4,7,5] => [5,7,4,3,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,1,3,5,4,7] => [7,4,5,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,3,5,7,4] => [4,7,5,3,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,1,3,7,4,5] => [5,4,7,3,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,1,3,7,5,4] => [4,5,7,3,1,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,1,4,3,5,7] => [7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,4,3,7,5] => [5,7,3,4,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,1,4,5,3,7] => [7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,4,5,7,3] => [3,7,5,4,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,1,4,7,3,5] => [5,3,7,4,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,1,4,7,5,3] => [3,5,7,4,1,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,1,5,3,4,7] => [7,4,3,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,5,3,7,4] => [4,7,3,5,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,1,5,4,3,7] => [7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,1,5,4,7,3] => [3,7,4,5,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,1,5,7,3,4] => [4,3,7,5,1,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,1,5,7,4,3] => [3,4,7,5,1,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,1,7,3,4,5] => [5,4,3,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,1,7,3,5,4] => [4,5,3,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,1,7,4,3,5] => [5,3,4,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,1,7,4,5,3] => [3,5,4,7,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,1,7,5,3,4] => [4,3,5,7,1,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,1,7,5,4,3] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,1,4,7,5] => [5,7,4,1,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,3,1,5,4,7] => [7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,1,5,7,4] => [4,7,5,1,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,3,1,7,4,5] => [5,4,7,1,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,3,1,7,5,4] => [4,5,7,1,3,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,4,1,7,5] => [5,7,1,4,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,3,4,7,1,5] => [5,1,7,4,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,3,4,7,5,1] => [1,5,7,4,3,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,2,3,5,1,4,7] => [7,4,1,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,5,1,7,4] => [4,7,1,5,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,3,5,4,1,7] => [7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,3,5,4,7,1] => [1,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,3,5,7,1,4] => [4,1,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,3,5,7,4,1] => [1,4,7,5,3,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,2,3,7,1,4,5] => [5,4,1,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,3,7,1,5,4] => [4,5,1,7,3,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,3,7,4,1,5] => [5,1,4,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,3,7,4,5,1] => [1,5,4,7,3,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,2,3,7,5,1,4] => [4,1,5,7,3,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,3,7,5,4,1] => [1,4,5,7,3,2,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,2,4,1,3,5,7] => [7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,1,3,7,5] => [5,7,3,1,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,4,1,5,3,7] => [7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,1,5,7,3] => [3,7,5,1,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,4,1,7,3,5] => [5,3,7,1,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,4,1,7,5,3] => [3,5,7,1,4,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,4,3,1,5,7] => [7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,3,1,7,5] => [5,7,1,3,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,2,4,3,5,1,7] => [7,1,5,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,3,5,7,1] => [1,7,5,3,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,4,3,7,1,5] => [5,1,7,3,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,2,4,3,7,5,1] => [1,5,7,3,4,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,2,4,5,1,3,7] => [7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,5,1,7,3] => [3,7,1,5,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,4,5,3,1,7] => [7,1,3,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,4,5,3,7,1] => [1,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,4,5,7,1,3] => [3,1,7,5,4,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,4,5,7,3,1] => [1,3,7,5,4,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,2,4,7,1,3,5] => [5,3,1,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,4,7,1,5,3] => [3,5,1,7,4,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,4,7,3,1,5] => [5,1,3,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,2,4,7,3,5,1] => [1,5,3,7,4,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,2,4,7,5,1,3] => [3,1,5,7,4,2,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,4,7,5,3,1] => [1,3,5,7,4,2,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[6,2,5,1,3,4,7] => [7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,1,3,7,4] => [4,7,3,1,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,5,1,4,3,7] => [7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,1,4,7,3] => [3,7,4,1,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,5,1,7,3,4] => [4,3,7,1,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,5,1,7,4,3] => [3,4,7,1,5,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,5,3,1,4,7] => [7,4,1,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,3,1,7,4] => [4,7,1,3,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,2,5,3,4,1,7] => [7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,3,4,7,1] => [1,7,4,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,5,3,7,1,4] => [4,1,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,2,5,3,7,4,1] => [1,4,7,3,5,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,2,5,4,1,3,7] => [7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,4,1,7,3] => [3,7,1,4,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,2,5,4,3,1,7] => [7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,2,5,4,3,7,1] => [1,7,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,5,4,7,1,3] => [3,1,7,4,5,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,2,5,4,7,3,1] => [1,3,7,4,5,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,2,5,7,1,3,4] => [4,3,1,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,5,7,1,4,3] => [3,4,1,7,5,2,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,5,7,3,1,4] => [4,1,3,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,2,5,7,3,4,1] => [1,4,3,7,5,2,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,2,5,7,4,1,3] => [3,1,4,7,5,2,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,2,5,7,4,3,1] => [1,3,4,7,5,2,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[6,2,7,1,3,4,5] => [5,4,3,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,1,3,5,4] => [4,5,3,1,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,1,4,3,5] => [5,3,4,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,1,4,5,3] => [3,5,4,1,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,2,7,1,5,3,4] => [4,3,5,1,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,1,5,4,3] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 3

[6,2,7,3,1,4,5] => [5,4,1,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,3,1,5,4] => [4,5,1,3,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,3,4,1,5] => [5,1,4,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,3,5,1,4] => [4,1,5,3,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,3,5,4,1] => [1,4,5,3,7,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[6,2,7,4,1,3,5] => [5,3,1,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,4,1,5,3] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,2,7,4,3,1,5] => [5,1,3,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,2,7,4,5,1,3] => [3,1,5,4,7,2,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,2,7,4,5,3,1] => [1,3,5,4,7,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 1

[6,2,7,5,1,3,4] => [4,3,1,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,5,1,4,3] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 3

[6,2,7,5,3,1,4] => [4,1,3,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,2,7,5,4,1,3] => [3,1,4,5,7,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3

[6,2,7,5,4,3,1] => [1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1

[6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,2,4,7,5] => [5,7,4,2,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,1,2,5,4,7] => [7,4,5,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,2,5,7,4] => [4,7,5,2,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,1,2,7,4,5] => [5,4,7,2,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,1,2,7,5,4] => [4,5,7,2,1,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,1,4,2,5,7] => [7,5,2,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,4,2,7,5] => [5,7,2,4,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,1,4,5,2,7] => [7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,4,5,7,2] => [2,7,5,4,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,1,4,7,2,5] => [5,2,7,4,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,1,4,7,5,2] => [2,5,7,4,1,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,1,5,2,4,7] => [7,4,2,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,5,2,7,4] => [4,7,2,5,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,1,5,4,2,7] => [7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,1,5,4,7,2] => [2,7,4,5,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,1,5,7,2,4] => [4,2,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,1,5,7,4,2] => [2,4,7,5,1,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,1,7,2,4,5] => [5,4,2,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,1,7,2,5,4] => [4,5,2,7,1,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,1,7,4,2,5] => [5,2,4,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,1,7,4,5,2] => [2,5,4,7,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,3,1,7,5,2,4] => [4,2,5,7,1,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,1,7,5,4,2] => [2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2

[6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,1,4,7,5] => [5,7,4,1,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,2,1,5,4,7] => [7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,1,5,7,4] => [4,7,5,1,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,2,1,7,4,5] => [5,4,7,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,2,1,7,5,4] => [4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,4,1,7,5] => [5,7,1,4,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,2,4,7,1,5] => [5,1,7,4,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,2,4,7,5,1] => [1,5,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,3,2,5,1,4,7] => [7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,5,1,7,4] => [4,7,1,5,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,2,5,4,1,7] => [7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,2,5,4,7,1] => [1,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,2,5,7,1,4] => [4,1,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,2,5,7,4,1] => [1,4,7,5,2,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,3,2,7,1,4,5] => [5,4,1,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,2,7,1,5,4] => [4,5,1,7,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,2,7,4,1,5] => [5,1,4,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,2,7,4,5,1] => [1,5,4,7,2,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,3,2,7,5,1,4] => [4,1,5,7,2,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,2,7,5,4,1] => [1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,1,2,7,5] => [5,7,2,1,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,4,1,5,2,7] => [7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,1,5,7,2] => [2,7,5,1,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,4,1,7,2,5] => [5,2,7,1,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,4,1,7,5,2] => [2,5,7,1,4,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,2,1,7,5] => [5,7,1,2,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,4,2,7,1,5] => [5,1,7,2,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,3,4,2,7,5,1] => [1,5,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,5,1,7,2] => [2,7,1,5,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,3,4,7,1,2,5] => [5,2,1,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,4,7,1,5,2] => [2,5,1,7,4,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,3,4,7,2,1,5] => [5,1,2,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,3,4,7,2,5,1] => [1,5,2,7,4,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,3,4,7,5,1,2] => [2,1,5,7,4,3,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[6,3,4,7,5,2,1] => [1,2,5,7,4,3,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[6,3,5,1,2,4,7] => [7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,1,2,7,4] => [4,7,2,1,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,5,1,4,2,7] => [7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,1,4,7,2] => [2,7,4,1,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,5,1,7,2,4] => [4,2,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,5,1,7,4,2] => [2,4,7,1,5,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,5,2,1,4,7] => [7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,2,1,7,4] => [4,7,1,2,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,3,5,2,4,1,7] => [7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,2,4,7,1] => [1,7,4,2,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,5,2,7,1,4] => [4,1,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,3,5,2,7,4,1] => [1,4,7,2,5,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,3,5,4,1,2,7] => [7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,4,1,7,2] => [2,7,1,4,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,3,5,4,2,1,7] => [7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,3,5,4,2,7,1] => [1,7,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,3,5,4,7,1,2] => [2,1,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,5,4,7,2,1] => [1,2,7,4,5,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,3,5,7,1,2,4] => [4,2,1,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,5,7,1,4,2] => [2,4,1,7,5,3,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,3,5,7,2,1,4] => [4,1,2,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,3,5,7,2,4,1] => [1,4,2,7,5,3,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,3,5,7,4,1,2] => [2,1,4,7,5,3,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[6,3,5,7,4,2,1] => [1,2,4,7,5,3,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[6,3,7,1,2,4,5] => [5,4,2,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,1,2,5,4] => [4,5,2,1,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,1,4,2,5] => [5,2,4,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,1,4,5,2] => [2,5,4,1,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,3,7,1,5,2,4] => [4,2,5,1,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,1,5,4,2] => [2,4,5,1,7,3,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[6,3,7,2,1,4,5] => [5,4,1,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,2,1,5,4] => [4,5,1,2,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,2,4,1,5] => [5,1,4,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,2,5,1,4] => [4,1,5,2,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,2,5,4,1] => [1,4,5,2,7,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[6,3,7,4,1,2,5] => [5,2,1,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,4,1,5,2] => [2,5,1,4,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,3,7,4,2,1,5] => [5,1,2,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,3,7,4,5,1,2] => [2,1,5,4,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,4,5,2,1] => [1,2,5,4,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1

[6,3,7,5,1,2,4] => [4,2,1,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,5,1,4,2] => [2,4,1,5,7,3,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,3,7,5,2,1,4] => [4,1,2,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,3,7,5,4,1,2] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[6,3,7,5,4,2,1] => [1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1

[6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,2,3,7,5] => [5,7,3,2,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,1,2,5,3,7] => [7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,2,5,7,3] => [3,7,5,2,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,1,2,7,3,5] => [5,3,7,2,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,1,2,7,5,3] => [3,5,7,2,1,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,1,3,2,5,7] => [7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,3,2,7,5] => [5,7,2,3,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,1,3,5,2,7] => [7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,3,5,7,2] => [2,7,5,3,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,1,3,7,2,5] => [5,2,7,3,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,1,3,7,5,2] => [2,5,7,3,1,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,1,5,2,3,7] => [7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,5,2,7,3] => [3,7,2,5,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,1,5,3,2,7] => [7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,1,5,3,7,2] => [2,7,3,5,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,1,5,7,2,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,1,5,7,3,2] => [2,3,7,5,1,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,1,7,2,3,5] => [5,3,2,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,1,7,2,5,3] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,1,7,3,2,5] => [5,2,3,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,1,7,3,5,2] => [2,5,3,7,1,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,4,1,7,5,2,3] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,1,7,5,3,2] => [2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,1,3,7,5] => [5,7,3,1,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,2,1,5,3,7] => [7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,1,5,7,3] => [3,7,5,1,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,2,1,7,3,5] => [5,3,7,1,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,2,1,7,5,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,3,1,7,5] => [5,7,1,3,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,2,3,7,1,5] => [5,1,7,3,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,2,3,7,5,1] => [1,5,7,3,2,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,4,2,5,1,3,7] => [7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,5,1,7,3] => [3,7,1,5,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,2,5,3,1,7] => [7,1,3,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,2,5,3,7,1] => [1,7,3,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,2,5,7,1,3] => [3,1,7,5,2,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,2,5,7,3,1] => [1,3,7,5,2,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,4,2,7,1,3,5] => [5,3,1,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,2,7,1,5,3] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,2,7,3,1,5] => [5,1,3,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,2,7,3,5,1] => [1,5,3,7,2,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,4,2,7,5,1,3] => [3,1,5,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,2,7,5,3,1] => [1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,1,2,7,5] => [5,7,2,1,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,3,1,5,2,7] => [7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,1,5,7,2] => [2,7,5,1,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,3,1,7,2,5] => [5,2,7,1,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,3,1,7,5,2] => [2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,2,1,7,5] => [5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 5

[6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,3,2,7,1,5] => [5,1,7,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5

[6,4,3,2,7,5,1] => [1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,5,1,7,2] => [2,7,1,5,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,4,3,7,1,2,5] => [5,2,1,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,3,7,1,5,2] => [2,5,1,7,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,4,3,7,2,1,5] => [5,1,2,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5

[6,4,3,7,2,5,1] => [1,5,2,7,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,4,3,7,5,1,2] => [2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 2

[6,4,3,7,5,2,1] => [1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,1,2,7,3] => [3,7,2,1,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,5,1,3,2,7] => [7,2,3,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,1,3,7,2] => [2,7,3,1,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,5,1,7,2,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,5,1,7,3,2] => [2,3,7,1,5,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,2,1,7,3] => [3,7,1,2,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,5,2,7,1,3] => [3,1,7,2,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,4,5,2,7,3,1] => [1,3,7,2,5,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,3,1,7,2] => [2,7,1,3,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,5,7,1,3,2] => [2,3,1,7,5,4,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[6,4,7,1,2,3,5] => [5,3,2,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,1,2,5,3] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,4,7,1,3,2,5] => [5,2,3,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,1,3,5,2] => [2,5,3,1,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,4,7,1,5,2,3] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,4,7,1,5,3,2] => [2,3,5,1,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,2,1,3,5] => [5,3,1,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,2,1,5,3] => [3,5,1,2,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 3

[6,4,7,2,3,1,5] => [5,1,3,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,2,5,1,3] => [3,1,5,2,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,4,7,2,5,3,1] => [1,3,5,2,7,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 1

[6,4,7,3,1,2,5] => [5,2,1,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,3,1,5,2] => [2,5,1,3,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[6,4,7,3,2,1,5] => [5,1,2,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5

[6,4,7,3,5,1,2] => [2,1,5,3,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,3,5,2,1] => [1,2,5,3,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1

[6,4,7,5,1,2,3] => [3,2,1,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[6,4,7,5,1,3,2] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 2

[6,4,7,5,2,1,3] => [3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3

[6,4,7,5,2,3,1] => [1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1

[6,4,7,5,3,1,2] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 2

[6,4,7,5,3,2,1] => [1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1

[6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,2,3,7,4] => [4,7,3,2,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,1,2,4,3,7] => [7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,2,4,7,3] => [3,7,4,2,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,1,2,7,3,4] => [4,3,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,1,2,7,4,3] => [3,4,7,2,1,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,1,3,2,4,7] => [7,4,2,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,3,2,7,4] => [4,7,2,3,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,1,3,4,2,7] => [7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,3,4,7,2] => [2,7,4,3,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,1,3,7,2,4] => [4,2,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,1,3,7,4,2] => [2,4,7,3,1,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,1,4,2,3,7] => [7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,4,2,7,3] => [3,7,2,4,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,1,4,3,2,7] => [7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,1,4,3,7,2] => [2,7,3,4,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,1,4,7,2,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,1,4,7,3,2] => [2,3,7,4,1,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,1,7,2,3,4] => [4,3,2,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,1,7,2,4,3] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,1,7,3,2,4] => [4,2,3,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,1,7,3,4,2] => [2,4,3,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,5,1,7,4,2,3] => [3,2,4,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,1,7,4,3,2] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2

[6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,1,3,7,4] => [4,7,3,1,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,2,1,4,3,7] => [7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,1,4,7,3] => [3,7,4,1,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,2,1,7,3,4] => [4,3,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,2,1,7,4,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,3,1,7,4] => [4,7,1,3,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,2,3,7,1,4] => [4,1,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,2,3,7,4,1] => [1,4,7,3,2,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,5,2,4,1,3,7] => [7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,4,1,7,3] => [3,7,1,4,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,2,4,3,1,7] => [7,1,3,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,2,4,3,7,1] => [1,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,2,4,7,1,3] => [3,1,7,4,2,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,2,4,7,3,1] => [1,3,7,4,2,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,5,2,7,1,3,4] => [4,3,1,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,2,7,1,4,3] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,2,7,3,1,4] => [4,1,3,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,2,7,3,4,1] => [1,4,3,7,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,5,2,7,4,1,3] => [3,1,4,7,2,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,2,7,4,3,1] => [1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,1,2,7,4] => [4,7,2,1,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,3,1,4,2,7] => [7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,1,4,7,2] => [2,7,4,1,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,3,1,7,2,4] => [4,2,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,3,1,7,4,2] => [2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,2,1,7,4] => [4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 4

[6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,3,2,7,1,4] => [4,1,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4

[6,5,3,2,7,4,1] => [1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,4,1,7,2] => [2,7,1,4,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,5,3,7,1,2,4] => [4,2,1,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,3,7,1,4,2] => [2,4,1,7,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2

[6,5,3,7,2,1,4] => [4,1,2,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[6,5,3,7,2,4,1] => [1,4,2,7,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,5,3,7,4,1,2] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[6,5,3,7,4,2,1] => [1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,1,2,7,3] => [3,7,2,1,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,4,1,3,2,7] => [7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,1,3,7,2] => [2,7,3,1,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,4,1,7,2,3] => [3,2,7,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,4,1,7,3,2] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,2,1,7,3] => [3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 3

[6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,4,2,7,1,3] => [3,1,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[6,5,4,2,7,3,1] => [1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,3,1,7,2] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2

[6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7

[6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,4,7,1,3,2] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2

[6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 2

[6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,1,3,2,4] => [4,2,3,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,1,4,2,3] => [3,2,4,1,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,5,7,1,4,3,2] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 2

[6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => 1

[6,5,7,2,4,1,3] => [3,1,4,2,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[6,5,7,2,4,3,1] => [1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1

[6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => 1

[6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2

[6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1

[6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3

[6,5,7,4,1,3,2] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 2

[6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3

[6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2

[6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1

[6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,2,4,3,5] => [5,3,4,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,3,2,4,5] => [5,4,2,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,3,4,2,5] => [5,2,4,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,4,2,3,5] => [5,3,2,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,4,3,2,5] => [5,2,3,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,1,5,2,3,4] => [4,3,2,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,1,5,2,4,3] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,1,5,3,2,4] => [4,2,3,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,1,5,3,4,2] => [2,4,3,5,1,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 2

[6,7,1,5,4,2,3] => [3,2,4,5,1,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,1,5,4,3,2] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 2

[6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,1,4,3,5] => [5,3,4,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,2,4,1,3,5] => [5,3,1,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,4,3,1,5] => [5,1,3,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,2,4,3,5,1] => [1,5,3,4,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,2,5,1,3,4] => [4,3,1,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,2,5,1,4,3] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,2,5,3,1,4] => [4,1,3,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,2,5,3,4,1] => [1,4,3,5,2,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[6,7,2,5,4,1,3] => [3,1,4,5,2,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,2,5,4,3,1] => [1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 1

[6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,1,4,2,5] => [5,2,4,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => 1

[6,7,3,5,1,2,4] => [4,2,1,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,3,5,1,4,2] => [2,4,1,5,3,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 2

[6,7,3,5,2,1,4] => [4,1,2,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4

[6,7,3,5,2,4,1] => [1,4,2,5,3,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[6,7,3,5,4,1,2] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 2

[6,7,3,5,4,2,1] => [1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 1

[6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,1,3,2,5] => [5,2,3,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5

[6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => 1

[6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,4,5,1,3,2] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2

[6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3

[6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 1

[6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 2

[6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 1

[6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,1,2,4,3] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 3

[6,7,5,1,3,2,4] => [4,2,3,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,1,3,4,2] => [2,4,3,1,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 2

[6,7,5,1,4,2,3] => [3,2,4,1,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 3

[6,7,5,1,4,3,2] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 2

[6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,2,1,4,3] => [3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 3

[6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[6,7,5,2,4,1,3] => [3,1,4,2,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 3

[6,7,5,2,4,3,1] => [1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 1

[6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,3,1,4,2] => [2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 2

[6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4

[6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 2

[6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 1

[6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 3

[6,7,5,4,1,3,2] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 2

[6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 3

[6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 1

[6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2

[6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1

[7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,3,4,6,5] => [5,6,4,3,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,2,3,5,4,6] => [6,4,5,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,3,5,6,4] => [4,6,5,3,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,2,3,6,4,5] => [5,4,6,3,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,2,3,6,5,4] => [4,5,6,3,2,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,1,2,4,3,5,6] => [6,5,3,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,4,3,6,5] => [5,6,3,4,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,2,4,5,3,6] => [6,3,5,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,4,5,6,3] => [3,6,5,4,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,2,4,6,3,5] => [5,3,6,4,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,2,4,6,5,3] => [3,5,6,4,2,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,1,2,5,3,4,6] => [6,4,3,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,5,3,6,4] => [4,6,3,5,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,2,5,4,3,6] => [6,3,4,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,2,5,4,6,3] => [3,6,4,5,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,2,5,6,3,4] => [4,3,6,5,2,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,1,2,5,6,4,3] => [3,4,6,5,2,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,1,2,6,3,4,5] => [5,4,3,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,2,6,3,5,4] => [4,5,3,6,2,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,1,2,6,4,3,5] => [5,3,4,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,2,6,4,5,3] => [3,5,4,6,2,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,1,2,6,5,3,4] => [4,3,5,6,2,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,1,2,6,5,4,3] => [3,4,5,6,2,1,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,1,3,2,4,5,6] => [6,5,4,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,2,4,6,5] => [5,6,4,2,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,3,2,5,4,6] => [6,4,5,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,2,5,6,4] => [4,6,5,2,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,3,2,6,4,5] => [5,4,6,2,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,3,2,6,5,4] => [4,5,6,2,3,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,1,3,4,2,5,6] => [6,5,2,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,4,2,6,5] => [5,6,2,4,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,3,4,5,2,6] => [6,2,5,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,4,5,6,2] => [2,6,5,4,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,3,4,6,2,5] => [5,2,6,4,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,3,4,6,5,2] => [2,5,6,4,3,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,1,3,5,2,4,6] => [6,4,2,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,5,2,6,4] => [4,6,2,5,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,3,5,4,2,6] => [6,2,4,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,3,5,4,6,2] => [2,6,4,5,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,3,5,6,2,4] => [4,2,6,5,3,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,1,3,5,6,4,2] => [2,4,6,5,3,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,1,3,6,2,4,5] => [5,4,2,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,3,6,2,5,4] => [4,5,2,6,3,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,1,3,6,4,2,5] => [5,2,4,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,3,6,4,5,2] => [2,5,4,6,3,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,1,3,6,5,2,4] => [4,2,5,6,3,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,1,4,2,3,5,6] => [6,5,3,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,2,3,6,5] => [5,6,3,2,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,4,2,5,3,6] => [6,3,5,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,2,5,6,3] => [3,6,5,2,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,4,2,6,3,5] => [5,3,6,2,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,4,2,6,5,3] => [3,5,6,2,4,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,1,4,3,2,5,6] => [6,5,2,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,3,2,6,5] => [5,6,2,3,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,1,4,3,5,2,6] => [6,2,5,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,3,5,6,2] => [2,6,5,3,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,4,3,6,2,5] => [5,2,6,3,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,1,4,3,6,5,2] => [2,5,6,3,4,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,1,4,5,2,3,6] => [6,3,2,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,5,2,6,3] => [3,6,2,5,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,4,5,3,2,6] => [6,2,3,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,4,5,3,6,2] => [2,6,3,5,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,4,5,6,2,3] => [3,2,6,5,4,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,1,4,5,6,3,2] => [2,3,6,5,4,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,1,4,6,2,3,5] => [5,3,2,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,4,6,2,5,3] => [3,5,2,6,4,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,1,4,6,3,2,5] => [5,2,3,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,1,4,6,3,5,2] => [2,5,3,6,4,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,1,4,6,5,2,3] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,1,5,2,3,4,6] => [6,4,3,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,2,3,6,4] => [4,6,3,2,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,5,2,4,3,6] => [6,3,4,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,2,4,6,3] => [3,6,4,2,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,5,2,6,3,4] => [4,3,6,2,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,1,5,2,6,4,3] => [3,4,6,2,5,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,1,5,3,2,4,6] => [6,4,2,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,3,2,6,4] => [4,6,2,3,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,1,5,3,4,2,6] => [6,2,4,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,3,4,6,2] => [2,6,4,3,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,5,3,6,2,4] => [4,2,6,3,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,1,5,3,6,4,2] => [2,4,6,3,5,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,1,5,4,2,3,6] => [6,3,2,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,4,2,6,3] => [3,6,2,4,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,1,5,4,3,2,6] => [6,2,3,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,1,5,4,3,6,2] => [2,6,3,4,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,1,5,4,6,2,3] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,1,5,4,6,3,2] => [2,3,6,4,5,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,1,5,6,2,3,4] => [4,3,2,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,1,5,6,2,4,3] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,1,5,6,3,2,4] => [4,2,3,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,1,5,6,3,4,2] => [2,4,3,6,5,1,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[7,1,5,6,4,2,3] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,1,5,6,4,3,2] => [2,3,4,6,5,1,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[7,1,6,2,3,4,5] => [5,4,3,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,2,3,5,4] => [4,5,3,2,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,1,6,2,4,3,5] => [5,3,4,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,2,5,3,4] => [4,3,5,2,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,1,6,3,2,4,5] => [5,4,2,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,3,2,5,4] => [4,5,2,3,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,1,6,3,4,2,5] => [5,2,4,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,3,4,5,2] => [2,5,4,3,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,1,6,3,5,2,4] => [4,2,5,3,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,1,6,3,5,4,2] => [2,4,5,3,6,1,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 2

[7,1,6,4,2,3,5] => [5,3,2,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,4,3,2,5] => [5,2,3,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,1,6,4,3,5,2] => [2,5,3,4,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,1,6,5,2,3,4] => [4,3,2,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,1,6,5,3,2,4] => [4,2,3,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,3,4,6,5] => [5,6,4,3,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,1,3,5,4,6] => [6,4,5,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,3,5,6,4] => [4,6,5,3,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,1,3,6,4,5] => [5,4,6,3,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,1,3,6,5,4] => [4,5,6,3,1,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,2,1,4,3,5,6] => [6,5,3,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,4,3,6,5] => [5,6,3,4,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,1,4,5,3,6] => [6,3,5,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,4,5,6,3] => [3,6,5,4,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,1,4,6,3,5] => [5,3,6,4,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,1,4,6,5,3] => [3,5,6,4,1,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,2,1,5,3,4,6] => [6,4,3,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,5,3,6,4] => [4,6,3,5,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,1,5,4,3,6] => [6,3,4,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,1,5,4,6,3] => [3,6,4,5,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,1,5,6,3,4] => [4,3,6,5,1,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,2,1,5,6,4,3] => [3,4,6,5,1,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,2,1,6,3,4,5] => [5,4,3,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,1,6,3,5,4] => [4,5,3,6,1,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,2,1,6,4,3,5] => [5,3,4,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,1,6,4,5,3] => [3,5,4,6,1,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,2,1,6,5,3,4] => [4,3,5,6,1,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,2,1,6,5,4,3] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,1,4,6,5] => [5,6,4,1,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,3,1,5,4,6] => [6,4,5,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,1,5,6,4] => [4,6,5,1,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,3,1,6,4,5] => [5,4,6,1,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,3,1,6,5,4] => [4,5,6,1,3,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,4,1,6,5] => [5,6,1,4,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,4,6,1,5] => [5,1,6,4,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,3,4,6,5,1] => [1,5,6,4,3,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,2,3,5,1,4,6] => [6,4,1,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,5,1,6,4] => [4,6,1,5,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,3,5,4,1,6] => [6,1,4,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,3,5,4,6,1] => [1,6,4,5,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,5,6,1,4] => [4,1,6,5,3,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,2,3,5,6,4,1] => [1,4,6,5,3,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,2,3,6,1,4,5] => [5,4,1,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,3,6,1,5,4] => [4,5,1,6,3,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,2,3,6,4,1,5] => [5,1,4,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,3,6,4,5,1] => [1,5,4,6,3,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,2,3,6,5,1,4] => [4,1,5,6,3,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,2,3,6,5,4,1] => [1,4,5,6,3,2,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 1

[7,2,4,1,3,5,6] => [6,5,3,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,1,3,6,5] => [5,6,3,1,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,4,1,5,3,6] => [6,3,5,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,1,5,6,3] => [3,6,5,1,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,4,1,6,3,5] => [5,3,6,1,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,4,1,6,5,3] => [3,5,6,1,4,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,2,4,3,1,5,6] => [6,5,1,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,3,1,6,5] => [5,6,1,3,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,2,4,3,5,1,6] => [6,1,5,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,3,5,6,1] => [1,6,5,3,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,4,3,6,1,5] => [5,1,6,3,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,2,4,3,6,5,1] => [1,5,6,3,4,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,2,4,5,1,3,6] => [6,3,1,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,5,1,6,3] => [3,6,1,5,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,4,5,3,1,6] => [6,1,3,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,4,5,3,6,1] => [1,6,3,5,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,4,5,6,1,3] => [3,1,6,5,4,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,2,4,5,6,3,1] => [1,3,6,5,4,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,2,4,6,1,3,5] => [5,3,1,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,4,6,1,5,3] => [3,5,1,6,4,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,2,4,6,3,1,5] => [5,1,3,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,2,4,6,3,5,1] => [1,5,3,6,4,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,2,4,6,5,1,3] => [3,1,5,6,4,2,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,2,4,6,5,3,1] => [1,3,5,6,4,2,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 1

[7,2,5,1,3,4,6] => [6,4,3,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,1,3,6,4] => [4,6,3,1,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,5,1,4,3,6] => [6,3,4,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,1,4,6,3] => [3,6,4,1,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,5,1,6,3,4] => [4,3,6,1,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,2,5,1,6,4,3] => [3,4,6,1,5,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,2,5,3,1,4,6] => [6,4,1,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,3,1,6,4] => [4,6,1,3,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,2,5,3,4,1,6] => [6,1,4,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,3,4,6,1] => [1,6,4,3,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,5,3,6,1,4] => [4,1,6,3,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,2,5,3,6,4,1] => [1,4,6,3,5,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,2,5,4,1,3,6] => [6,3,1,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,4,1,6,3] => [3,6,1,4,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,5,4,3,1,6] => [6,1,3,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,2,5,4,3,6,1] => [1,6,3,4,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,5,4,6,1,3] => [3,1,6,4,5,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,2,5,4,6,3,1] => [1,3,6,4,5,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,2,5,6,1,3,4] => [4,3,1,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,2,5,6,1,4,3] => [3,4,1,6,5,2,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,2,5,6,3,1,4] => [4,1,3,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,2,5,6,3,4,1] => [1,4,3,6,5,2,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,5,6,4,1,3] => [3,1,4,6,5,2,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,2,5,6,4,3,1] => [1,3,4,6,5,2,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,2,6,1,3,4,5] => [5,4,3,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,1,3,5,4] => [4,5,3,1,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,2,6,1,4,3,5] => [5,3,4,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,1,5,3,4] => [4,3,5,1,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,2,6,3,1,4,5] => [5,4,1,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,3,1,5,4] => [4,5,1,3,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,2,6,3,4,1,5] => [5,1,4,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,3,4,5,1] => [1,5,4,3,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,2,6,3,5,1,4] => [4,1,5,3,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,2,6,3,5,4,1] => [1,4,5,3,6,2,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 1

[7,2,6,4,1,3,5] => [5,3,1,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,4,3,1,5] => [5,1,3,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,2,6,4,3,5,1] => [1,5,3,4,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,2,6,4,5,3,1] => [1,3,5,4,6,2,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 1

[7,2,6,5,1,3,4] => [4,3,1,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,2,6,5,3,1,4] => [4,1,3,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,2,6,5,3,4,1] => [1,4,3,5,6,2,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,2,4,6,5] => [5,6,4,2,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,1,2,5,4,6] => [6,4,5,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,2,5,6,4] => [4,6,5,2,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,1,2,6,4,5] => [5,4,6,2,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,1,2,6,5,4] => [4,5,6,2,1,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,3,1,4,2,5,6] => [6,5,2,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,4,2,6,5] => [5,6,2,4,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,1,4,5,2,6] => [6,2,5,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,4,5,6,2] => [2,6,5,4,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,1,4,6,2,5] => [5,2,6,4,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,1,4,6,5,2] => [2,5,6,4,1,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,3,1,5,2,4,6] => [6,4,2,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,5,2,6,4] => [4,6,2,5,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,1,5,4,2,6] => [6,2,4,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,1,5,4,6,2] => [2,6,4,5,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,1,5,6,2,4] => [4,2,6,5,1,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,3,1,5,6,4,2] => [2,4,6,5,1,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,3,1,6,2,4,5] => [5,4,2,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,1,6,2,5,4] => [4,5,2,6,1,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,3,1,6,4,2,5] => [5,2,4,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,1,6,4,5,2] => [2,5,4,6,1,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,3,1,6,5,2,4] => [4,2,5,6,1,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,1,4,6,5] => [5,6,4,1,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,2,1,5,4,6] => [6,4,5,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,1,5,6,4] => [4,6,5,1,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,2,1,6,4,5] => [5,4,6,1,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,2,1,6,5,4] => [4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4

[7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,4,1,6,5] => [5,6,1,4,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,2,4,6,1,5] => [5,1,6,4,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,2,4,6,5,1] => [1,5,6,4,2,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,3,2,5,1,4,6] => [6,4,1,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,5,1,6,4] => [4,6,1,5,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,2,5,4,1,6] => [6,1,4,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,2,5,4,6,1] => [1,6,4,5,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,2,5,6,1,4] => [4,1,6,5,2,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,3,2,5,6,4,1] => [1,4,6,5,2,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,3,2,6,1,4,5] => [5,4,1,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,2,6,1,5,4] => [4,5,1,6,2,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4

[7,3,2,6,4,1,5] => [5,1,4,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,2,6,4,5,1] => [1,5,4,6,2,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,3,2,6,5,1,4] => [4,1,5,6,2,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[7,3,2,6,5,4,1] => [1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 1

[7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,1,2,6,5] => [5,6,2,1,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,4,1,5,2,6] => [6,2,5,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,1,5,6,2] => [2,6,5,1,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,4,1,6,2,5] => [5,2,6,1,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,4,1,6,5,2] => [2,5,6,1,4,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,2,1,6,5] => [5,6,1,2,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,4,2,6,1,5] => [5,1,6,2,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,3,4,2,6,5,1] => [1,5,6,2,4,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,5,1,6,2] => [2,6,1,5,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,3,4,6,1,2,5] => [5,2,1,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,4,6,1,5,2] => [2,5,1,6,4,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,3,4,6,2,1,5] => [5,1,2,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,3,4,6,2,5,1] => [1,5,2,6,4,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,3,4,6,5,2,1] => [1,2,5,6,4,3,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 1

[7,3,5,1,2,4,6] => [6,4,2,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,1,2,6,4] => [4,6,2,1,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,5,1,4,2,6] => [6,2,4,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,1,4,6,2] => [2,6,4,1,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,5,1,6,2,4] => [4,2,6,1,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,3,5,1,6,4,2] => [2,4,6,1,5,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,3,5,2,1,4,6] => [6,4,1,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,2,1,6,4] => [4,6,1,2,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,3,5,2,4,1,6] => [6,1,4,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,2,4,6,1] => [1,6,4,2,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,5,2,6,1,4] => [4,1,6,2,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,3,5,2,6,4,1] => [1,4,6,2,5,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,3,5,4,1,2,6] => [6,2,1,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,4,1,6,2] => [2,6,1,4,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,5,4,2,1,6] => [6,1,2,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,3,5,4,2,6,1] => [1,6,2,4,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,3,5,4,6,1,2] => [2,1,6,4,5,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,3,5,4,6,2,1] => [1,2,6,4,5,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,3,5,6,1,2,4] => [4,2,1,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,3,5,6,1,4,2] => [2,4,1,6,5,3,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[7,3,5,6,2,1,4] => [4,1,2,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,3,5,6,2,4,1] => [1,4,2,6,5,3,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,5,6,4,1,2] => [2,1,4,6,5,3,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,3,5,6,4,2,1] => [1,2,4,6,5,3,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1

[7,3,6,1,2,4,5] => [5,4,2,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,1,2,5,4] => [4,5,2,1,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,3,6,1,4,2,5] => [5,2,4,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,1,4,5,2] => [2,5,4,1,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,3,6,1,5,2,4] => [4,2,5,1,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,3,6,1,5,4,2] => [2,4,5,1,6,3,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 2

[7,3,6,2,1,4,5] => [5,4,1,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,2,1,5,4] => [4,5,1,2,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4

[7,3,6,2,4,1,5] => [5,1,4,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,2,4,5,1] => [1,5,4,2,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,3,6,2,5,1,4] => [4,1,5,2,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4

[7,3,6,2,5,4,1] => [1,4,5,2,6,3,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 1

[7,3,6,4,1,2,5] => [5,2,1,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,4,1,5,2] => [2,5,1,4,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,3,6,4,2,1,5] => [5,1,2,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,3,6,4,2,5,1] => [1,5,2,4,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,3,6,4,5,1,2] => [2,1,5,4,6,3,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2

[7,3,6,4,5,2,1] => [1,2,5,4,6,3,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 1

[7,3,6,5,1,2,4] => [4,2,1,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,3,6,5,2,1,4] => [4,1,2,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4

[7,3,6,5,2,4,1] => [1,4,2,5,6,3,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,6,5,4,2,1] => [1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 1

[7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,2,3,6,5] => [5,6,3,2,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,1,2,5,3,6] => [6,3,5,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,2,5,6,3] => [3,6,5,2,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,1,2,6,3,5] => [5,3,6,2,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,1,2,6,5,3] => [3,5,6,2,1,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,4,1,3,2,5,6] => [6,5,2,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,3,2,6,5] => [5,6,2,3,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,1,3,5,2,6] => [6,2,5,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,3,5,6,2] => [2,6,5,3,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,1,3,6,2,5] => [5,2,6,3,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,1,3,6,5,2] => [2,5,6,3,1,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,4,1,5,2,3,6] => [6,3,2,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,5,2,6,3] => [3,6,2,5,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,1,5,3,2,6] => [6,2,3,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,1,5,3,6,2] => [2,6,3,5,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,1,5,6,2,3] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,4,1,5,6,3,2] => [2,3,6,5,1,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,4,1,6,2,3,5] => [5,3,2,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,1,6,2,5,3] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,4,1,6,3,2,5] => [5,2,3,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,1,6,3,5,2] => [2,5,3,6,1,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,4,1,6,5,2,3] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,1,3,6,5] => [5,6,3,1,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,2,1,5,3,6] => [6,3,5,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,1,5,6,3] => [3,6,5,1,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,2,1,6,3,5] => [5,3,6,1,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,2,1,6,5,3] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 3

[7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,3,1,6,5] => [5,6,1,3,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,2,3,6,1,5] => [5,1,6,3,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,2,3,6,5,1] => [1,5,6,3,2,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,4,2,5,1,3,6] => [6,3,1,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,5,1,6,3] => [3,6,1,5,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,2,5,3,1,6] => [6,1,3,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,2,5,3,6,1] => [1,6,3,5,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,2,5,6,1,3] => [3,1,6,5,2,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,4,2,5,6,3,1] => [1,3,6,5,2,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,4,2,6,1,3,5] => [5,3,1,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,2,6,1,5,3] => [3,5,1,6,2,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 3

[7,4,2,6,3,1,5] => [5,1,3,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,2,6,3,5,1] => [1,5,3,6,2,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,4,2,6,5,1,3] => [3,1,5,6,2,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[7,4,2,6,5,3,1] => [1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 1

[7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,1,2,6,5] => [5,6,2,1,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,3,1,5,2,6] => [6,2,5,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,1,5,6,2] => [2,6,5,1,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,3,1,6,2,5] => [5,2,6,1,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,3,1,6,5,2] => [2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,2,1,6,5] => [5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5

[7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,3,2,6,1,5] => [5,1,6,2,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5

[7,4,3,2,6,5,1] => [1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1

[7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,5,1,6,2] => [2,6,1,5,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,4,3,6,1,2,5] => [5,2,1,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,3,6,1,5,2] => [2,5,1,6,3,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2

[7,4,3,6,2,1,5] => [5,1,2,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5

[7,4,3,6,2,5,1] => [1,5,2,6,3,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,4,3,6,5,2,1] => [1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 1

[7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,1,2,6,3] => [3,6,2,1,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,5,1,3,2,6] => [6,2,3,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,1,3,6,2] => [2,6,3,1,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,5,1,6,2,3] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,4,5,1,6,3,2] => [2,3,6,1,5,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,2,1,6,3] => [3,6,1,2,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,5,2,6,1,3] => [3,1,6,2,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,4,5,2,6,3,1] => [1,3,6,2,5,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,3,1,6,2] => [2,6,1,3,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,4,5,6,1,3,2] => [2,3,1,6,5,4,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 2

[7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 2

[7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 1

[7,4,6,1,2,3,5] => [5,3,2,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,1,3,2,5] => [5,2,3,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,1,3,5,2] => [2,5,3,1,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,4,6,2,1,3,5] => [5,3,1,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,2,3,1,5] => [5,1,3,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,2,3,5,1] => [1,5,3,2,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,4,6,2,5,3,1] => [1,3,5,2,6,4,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 1

[7,4,6,3,1,2,5] => [5,2,1,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,3,1,5,2] => [2,5,1,3,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2

[7,4,6,3,2,1,5] => [5,1,2,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5

[7,4,6,3,2,5,1] => [1,5,2,3,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,4,6,3,5,1,2] => [2,1,5,3,6,4,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2

[7,4,6,3,5,2,1] => [1,2,5,3,6,4,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 1

[7,4,6,5,3,1,2] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2

[7,4,6,5,3,2,1] => [1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 1

[7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,2,3,6,4] => [4,6,3,2,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,1,2,4,3,6] => [6,3,4,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,2,4,6,3] => [3,6,4,2,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,1,2,6,3,4] => [4,3,6,2,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,1,2,6,4,3] => [3,4,6,2,1,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,1,3,2,4,6] => [6,4,2,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,3,2,6,4] => [4,6,2,3,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,1,3,4,2,6] => [6,2,4,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,3,4,6,2] => [2,6,4,3,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,1,3,6,2,4] => [4,2,6,3,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,1,3,6,4,2] => [2,4,6,3,1,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,1,4,2,3,6] => [6,3,2,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,4,2,6,3] => [3,6,2,4,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,1,4,3,2,6] => [6,2,3,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,1,4,3,6,2] => [2,6,3,4,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,1,4,6,2,3] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,1,4,6,3,2] => [2,3,6,4,1,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,1,6,2,3,4] => [4,3,2,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,1,6,2,4,3] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,1,6,3,2,4] => [4,2,3,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,1,6,3,4,2] => [2,4,3,6,1,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[7,5,1,6,4,2,3] => [3,2,4,6,1,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,1,6,4,3,2] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2

[7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,1,3,6,4] => [4,6,3,1,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,2,1,4,3,6] => [6,3,4,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,1,4,6,3] => [3,6,4,1,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,2,1,6,3,4] => [4,3,6,1,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,2,1,6,4,3] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,3,1,6,4] => [4,6,1,3,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,2,3,6,1,4] => [4,1,6,3,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,2,3,6,4,1] => [1,4,6,3,2,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,5,2,4,1,3,6] => [6,3,1,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,4,1,6,3] => [3,6,1,4,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,2,4,3,1,6] => [6,1,3,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,2,4,3,6,1] => [1,6,3,4,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,2,4,6,1,3] => [3,1,6,4,2,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,2,4,6,3,1] => [1,3,6,4,2,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,5,2,6,1,3,4] => [4,3,1,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,2,6,1,4,3] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,2,6,3,1,4] => [4,1,3,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,2,6,3,4,1] => [1,4,3,6,2,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,2,6,4,1,3] => [3,1,4,6,2,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,2,6,4,3,1] => [1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,1,2,6,4] => [4,6,2,1,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,3,1,4,2,6] => [6,2,4,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,1,4,6,2] => [2,6,4,1,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,3,1,6,2,4] => [4,2,6,1,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,3,1,6,4,2] => [2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,2,1,6,4] => [4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4

[7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,3,2,6,1,4] => [4,1,6,2,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[7,5,3,2,6,4,1] => [1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,4,1,6,2] => [2,6,1,4,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,5,3,6,1,2,4] => [4,2,1,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,3,6,1,4,2] => [2,4,1,6,3,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[7,5,3,6,2,1,4] => [4,1,2,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4

[7,5,3,6,2,4,1] => [1,4,2,6,3,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,3,6,4,1,2] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,3,6,4,2,1] => [1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1

[7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,1,2,6,3] => [3,6,2,1,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,4,1,3,2,6] => [6,2,3,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,1,3,6,2] => [2,6,3,1,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,4,1,6,2,3] => [3,2,6,1,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,4,1,6,3,2] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,2,1,6,3] => [3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 3

[7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,4,2,6,1,3] => [3,1,6,2,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[7,5,4,2,6,3,1] => [1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,3,1,6,2] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6

[7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,4,6,1,3,2] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 2

[7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 2

[7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 1

[7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,1,2,4,3] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 3

[7,5,6,1,3,2,4] => [4,2,3,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,1,3,4,2] => [2,4,3,1,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 2

[7,5,6,1,4,2,3] => [3,2,4,1,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 3

[7,5,6,1,4,3,2] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2

[7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,2,1,4,3] => [3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 3

[7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,6,2,4,1,3] => [3,1,4,2,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 3

[7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,3,1,4,2] => [2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 2

[7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4

[7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2

[7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 1

[7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 3

[7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 3

[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 1

[7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => 2

[7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => 1

[7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,2,3,5,4] => [4,5,3,2,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,1,2,4,3,5] => [5,3,4,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,2,4,5,3] => [3,5,4,2,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,1,2,5,3,4] => [4,3,5,2,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,1,3,2,4,5] => [5,4,2,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,3,2,5,4] => [4,5,2,3,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,1,3,4,2,5] => [5,2,4,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,3,4,5,2] => [2,5,4,3,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,1,3,5,2,4] => [4,2,5,3,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,1,4,2,3,5] => [5,3,2,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,4,2,5,3] => [3,5,2,4,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,1,4,3,2,5] => [5,2,3,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,1,4,3,5,2] => [2,5,3,4,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,1,4,5,2,3] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3

[7,6,1,4,5,3,2] => [2,3,5,4,1,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[7,6,1,5,2,3,4] => [4,3,2,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,1,5,3,2,4] => [4,2,3,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,1,3,5,4] => [4,5,3,1,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,2,1,4,3,5] => [5,3,4,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,1,4,5,3] => [3,5,4,1,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,2,1,5,3,4] => [4,3,5,1,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,3,1,5,4] => [4,5,1,3,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,2,3,5,1,4] => [4,1,5,3,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,2,3,5,4,1] => [1,4,5,3,2,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 1

[7,6,2,4,1,3,5] => [5,3,1,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,4,1,5,3] => [3,5,1,4,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,2,4,3,1,5] => [5,1,3,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,2,4,3,5,1] => [1,5,3,4,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,2,4,5,1,3] => [3,1,5,4,2,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3

[7,6,2,4,5,3,1] => [1,3,5,4,2,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 1

[7,6,2,5,1,3,4] => [4,3,1,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,2,5,3,1,4] => [4,1,3,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,2,5,3,4,1] => [1,4,3,5,2,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 1

[7,6,2,5,4,3,1] => [1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 1

[7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,1,2,5,4] => [4,5,2,1,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,3,1,4,2,5] => [5,2,4,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,1,4,5,2] => [2,5,4,1,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,3,1,5,2,4] => [4,2,5,1,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,2,1,5,4] => [4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4

[7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,3,2,5,1,4] => [4,1,5,2,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4

[7,6,3,2,5,4,1] => [1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 1

[7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,4,1,5,2] => [2,5,1,4,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 1

[7,6,3,5,1,2,4] => [4,2,1,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,3,5,2,1,4] => [4,1,2,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4

[7,6,3,5,2,4,1] => [1,4,2,5,3,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 1

[7,6,3,5,4,2,1] => [1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 1

[7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,1,2,5,3] => [3,5,2,1,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,4,1,3,2,5] => [5,2,3,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,1,3,5,2] => [2,5,3,1,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,4,1,5,2,3] => [3,2,5,1,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3

[7,6,4,1,5,3,2] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,2,1,5,3] => [3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3

[7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,4,2,5,1,3] => [3,1,5,2,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3

[7,6,4,2,5,3,1] => [1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 1

[7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,3,1,5,2] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2

[7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5

[7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 1

[7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => 3

[7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => 3

[7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => 1

[7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => 2

[7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => 1

[7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,1,2,4,3] => [3,4,2,1,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 3

[7,6,5,1,3,2,4] => [4,2,3,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,1,3,4,2] => [2,4,3,1,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 2

[7,6,5,1,4,2,3] => [3,2,4,1,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 3

[7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,2,1,4,3] => [3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 3

[7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1

[7,6,5,2,4,1,3] => [3,1,4,2,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 3

[7,6,5,2,4,3,1] => [1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 1

[7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,3,1,4,2] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 2

[7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4

[7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1

[7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => 2

[7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1

[7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 3

[7,6,5,4,1,3,2] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2

[7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 3

[7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 1

[7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2

[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1

[8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1

[7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => 1

[8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => 1

[7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8) => 1

[6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8) => 1

[8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => 1

[7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[6,7,5,8,4,3,2,1] => [1,2,3,4,8,5,7,6] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[7,5,6,8,4,3,2,1] => [1,2,3,4,8,6,5,7] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[6,5,7,8,4,3,2,1] => [1,2,3,4,8,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => 1

[8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => 1

[8,6,7,5,3,4,2,1] => [1,2,4,3,5,7,6,8] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => 1

[8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => 1

[8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => 1

[8,7,5,6,4,2,3,1] => [1,3,2,4,6,5,7,8] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => 1

[8,5,6,7,4,2,3,1] => [1,3,2,4,7,6,5,8] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8) => 1

[8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 1

[8,6,5,4,7,2,3,1] => [1,3,2,7,4,5,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1

[8,5,6,4,7,2,3,1] => [1,3,2,7,4,6,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1

[8,6,4,5,7,2,3,1] => [1,3,2,7,5,4,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1

[8,5,4,6,7,2,3,1] => [1,3,2,7,6,4,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1

[8,4,5,6,7,2,3,1] => [1,3,2,7,6,5,4,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1

[8,6,7,5,3,2,4,1] => [1,4,2,3,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8) => 1

[8,6,7,5,2,3,4,1] => [1,4,3,2,5,7,6,8] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8) => 1

[8,6,7,4,3,2,5,1] => [1,5,2,3,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,7,3,4,2,5,1] => [1,5,2,4,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,7,4,2,3,5,1] => [1,5,3,2,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,7,3,2,4,5,1] => [1,5,4,2,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,7,2,3,4,5,1] => [1,5,4,3,2,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,6,4,3,2,8,1] => [1,8,2,3,4,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,7,4,3,2,8,1] => [1,8,2,3,4,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,4,5,3,2,8,1] => [1,8,2,3,5,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,5,6,3,2,8,1] => [1,8,2,3,6,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,7,3,2,8,1] => [1,8,2,3,7,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,5,3,4,2,8,1] => [1,8,2,4,3,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,6,3,4,2,8,1] => [1,8,2,4,3,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,3,4,2,8,1] => [1,8,2,4,3,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,7,3,4,2,8,1] => [1,8,2,4,3,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,4,3,5,2,8,1] => [1,8,2,5,3,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,3,5,6,2,8,1] => [1,8,2,6,5,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,4,3,7,2,8,1] => [1,8,2,7,3,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,3,4,7,2,8,1] => [1,8,2,7,4,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,5,7,2,8,1] => [1,8,2,7,5,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,4,5,7,2,8,1] => [1,8,2,7,5,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,3,6,7,2,8,1] => [1,8,2,7,6,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,4,6,7,2,8,1] => [1,8,2,7,6,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,5,4,2,3,8,1] => [1,8,3,2,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,4,2,3,8,1] => [1,8,3,2,4,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,4,2,3,8,1] => [1,8,3,2,4,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,4,5,2,3,8,1] => [1,8,3,2,5,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,6,2,3,8,1] => [1,8,3,2,6,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,7,2,3,8,1] => [1,8,3,2,7,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,7,2,3,8,1] => [1,8,3,2,7,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,5,3,2,4,8,1] => [1,8,4,2,3,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,3,2,4,8,1] => [1,8,4,2,3,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,6,3,2,4,8,1] => [1,8,4,2,3,6,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,3,2,4,8,1] => [1,8,4,2,3,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,7,3,2,4,8,1] => [1,8,4,2,3,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,5,2,3,4,8,1] => [1,8,4,3,2,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,2,3,4,8,1] => [1,8,4,3,2,5,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,2,3,4,8,1] => [1,8,4,3,2,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,7,2,3,4,8,1] => [1,8,4,3,2,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,4,3,2,5,8,1] => [1,8,5,2,3,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,4,2,3,5,8,1] => [1,8,5,3,2,4,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,4,2,3,5,8,1] => [1,8,5,3,2,4,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,3,5,2,6,8,1] => [1,8,6,2,5,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,5,2,3,6,8,1] => [1,8,6,3,2,5,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,3,2,4,6,8,1] => [1,8,6,4,2,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,2,3,5,6,8,1] => [1,8,6,5,3,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,2,4,5,6,8,1] => [1,8,6,5,4,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,4,3,2,7,8,1] => [1,8,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,4,3,2,7,8,1] => [1,8,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,3,2,7,8,1] => [1,8,7,2,3,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,6,2,7,8,1] => [1,8,7,2,6,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,4,2,3,7,8,1] => [1,8,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,2,3,7,8,1] => [1,8,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,2,3,7,8,1] => [1,8,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,3,2,4,7,8,1] => [1,8,7,4,2,3,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,3,2,4,7,8,1] => [1,8,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,2,3,4,7,8,1] => [1,8,7,4,3,2,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,4,5,7,8,1] => [1,8,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,4,6,7,8,1] => [1,8,7,6,4,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,4,6,7,8,1] => [1,8,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,5,6,7,8,1] => [1,8,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,2,5,6,7,8,1] => [1,8,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,3,5,6,7,8,1] => [1,8,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(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) => 2

[7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[7,5,6,8,3,4,1,2] => [2,1,4,3,8,6,5,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[7,8,5,3,4,6,1,2] => [2,1,6,4,3,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[7,8,4,3,5,6,1,2] => [2,1,6,5,3,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,7,4,3,8,1,2] => [2,1,8,3,4,7,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,5,4,7,3,8,1,2] => [2,1,8,3,7,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,4,7,3,8,1,2] => [2,1,8,3,7,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,4,5,7,3,8,1,2] => [2,1,8,3,7,5,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,6,7,3,8,1,2] => [2,1,8,3,7,6,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,5,6,7,3,8,1,2] => [2,1,8,3,7,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,7,5,3,4,8,1,2] => [2,1,8,4,3,5,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,5,7,3,4,8,1,2] => [2,1,8,4,3,7,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,7,3,4,8,1,2] => [2,1,8,4,3,7,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,6,4,3,5,8,1,2] => [2,1,8,5,3,4,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,7,4,3,5,8,1,2] => [2,1,8,5,3,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,6,3,4,5,8,1,2] => [2,1,8,5,4,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,7,3,4,5,8,1,2] => [2,1,8,5,4,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,4,5,3,6,8,1,2] => [2,1,8,6,3,5,4,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,3,4,6,8,1,2] => [2,1,8,6,4,3,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,3,4,5,6,8,1,2] => [2,1,8,6,5,4,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,4,3,7,8,1,2] => [2,1,8,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,4,5,3,7,8,1,2] => [2,1,8,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,6,3,7,8,1,2] => [2,1,8,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,5,6,3,7,8,1,2] => [2,1,8,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,5,3,4,7,8,1,2] => [2,1,8,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,3,4,5,7,8,1,2] => [2,1,8,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,5,3,6,7,8,1,2] => [2,1,8,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,3,4,6,7,8,1,2] => [2,1,8,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,3,5,6,7,8,1,2] => [2,1,8,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,5,7,8,3,2,1,4] => [4,1,2,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,6,7,8,3,2,1,4] => [4,1,2,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,5,7,8,2,3,1,4] => [4,1,3,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,6,7,8,2,3,1,4] => [4,1,3,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,6,5,8,3,1,2,4] => [4,2,1,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,5,7,8,3,1,2,4] => [4,2,1,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,6,7,8,3,1,2,4] => [4,2,1,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,8,5,6,2,1,3,4] => [4,3,1,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,6,5,8,2,1,3,4] => [4,3,1,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,7,5,8,2,1,3,4] => [4,3,1,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,5,6,8,2,1,3,4] => [4,3,1,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,5,7,8,2,1,3,4] => [4,3,1,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,6,7,8,2,1,3,4] => [4,3,1,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,6,5,8,1,2,3,4] => [4,3,2,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,7,5,8,1,2,3,4] => [4,3,2,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,5,6,8,1,2,3,4] => [4,3,2,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[6,5,7,8,1,2,3,4] => [4,3,2,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,8,5,4,3,2,1,6] => [6,1,2,3,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,3,4,2,1,6] => [6,1,2,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,4,5,2,1,6] => [6,1,2,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,4,2,3,1,6] => [6,1,3,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,5,2,3,1,6] => [6,1,3,2,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,3,2,4,1,6] => [6,1,4,2,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,3,2,5,1,6] => [6,1,5,2,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,2,4,5,1,6] => [6,1,5,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,3,4,5,1,6] => [6,1,5,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,3,5,1,2,6] => [6,2,1,5,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,4,5,1,2,6] => [6,2,1,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,5,2,1,3,6] => [6,3,1,2,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,4,1,2,3,6] => [6,3,2,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,5,1,2,3,6] => [6,3,2,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,2,3,1,4,6] => [6,4,1,3,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,3,1,2,4,6] => [6,4,2,1,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,2,1,3,4,6] => [6,4,3,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,1,2,3,4,6] => [6,4,3,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,3,2,1,5,6] => [6,5,1,2,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,4,2,1,5,6] => [6,5,1,2,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,2,4,1,5,6] => [6,5,1,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,3,4,1,5,6] => [6,5,1,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,3,1,2,5,6] => [6,5,2,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,1,2,3,5,6] => [6,5,3,2,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,3,1,4,5,6] => [6,5,4,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,1,2,4,5,6] => [6,5,4,2,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,1,3,4,5,6] => [6,5,4,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,4,3,2,1,7] => [7,1,2,3,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,3,2,1,7] => [7,1,2,3,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,6,3,2,1,7] => [7,1,2,3,6,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,6,3,2,1,7] => [7,1,2,3,6,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,3,4,2,1,7] => [7,1,2,4,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,3,6,2,1,7] => [7,1,2,6,3,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,3,6,2,1,7] => [7,1,2,6,3,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,4,6,2,1,7] => [7,1,2,6,4,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,4,2,3,1,7] => [7,1,3,2,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,2,3,1,7] => [7,1,3,2,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,2,3,4,1,7] => [7,1,4,3,2,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,3,5,1,7] => [7,1,5,3,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,2,4,5,1,7] => [7,1,5,4,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,5,2,6,1,7] => [7,1,6,2,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,2,3,6,1,7] => [7,1,6,3,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,2,4,6,1,7] => [7,1,6,4,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,3,5,6,1,7] => [7,1,6,5,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,4,5,6,1,7] => [7,1,6,5,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,4,3,1,2,7] => [7,2,1,3,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,3,1,2,7] => [7,2,1,3,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,3,4,1,2,7] => [7,2,1,4,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,3,4,1,2,7] => [7,2,1,4,3,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,4,5,1,2,7] => [7,2,1,5,4,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,3,6,1,2,7] => [7,2,1,6,3,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,5,6,1,2,7] => [7,2,1,6,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,4,2,1,3,7] => [7,3,1,2,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,2,1,3,7] => [7,3,1,2,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,6,2,1,3,7] => [7,3,1,2,6,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,4,1,2,3,7] => [7,3,2,1,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,4,1,2,3,7] => [7,3,2,1,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,1,2,3,7] => [7,3,2,1,5,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,6,1,2,3,7] => [7,3,2,1,6,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,3,2,1,4,7] => [7,4,1,2,3,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,2,3,1,4,7] => [7,4,1,3,2,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,2,3,1,4,7] => [7,4,1,3,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,2,1,3,4,7] => [7,4,3,1,2,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,2,1,3,4,7] => [7,4,3,1,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,1,2,3,4,7] => [7,4,3,2,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,3,2,1,5,7] => [7,5,1,2,3,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,3,1,5,7] => [7,5,1,3,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,2,4,1,5,7] => [7,5,1,4,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,1,2,3,5,7] => [7,5,3,2,1,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,3,1,4,5,7] => [7,5,4,1,3,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,1,3,4,5,7] => [7,5,4,3,1,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,3,2,1,6,7] => [7,6,1,2,3,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,3,2,1,6,7] => [7,6,1,2,3,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,2,1,6,7] => [7,6,1,2,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,2,4,1,6,7] => [7,6,1,4,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,3,4,1,6,7] => [7,6,1,4,3,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,1,2,6,7] => [7,6,2,1,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,2,1,3,6,7] => [7,6,3,1,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,1,2,3,6,7] => [7,6,3,2,1,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,1,3,4,6,7] => [7,6,4,3,1,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,2,1,5,6,7] => [7,6,5,1,2,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,3,1,5,6,7] => [7,6,5,1,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,4,1,5,6,7] => [7,6,5,1,4,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,1,2,5,6,7] => [7,6,5,2,1,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,1,2,5,6,7] => [7,6,5,2,1,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,2,3,5,6,7] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,4,5,6,7] => [7,6,5,4,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,1,4,5,6,7] => [7,6,5,4,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,4,3,2,1,8] => [8,1,2,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,5,3,2,1,8] => [8,1,2,3,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,6,3,2,1,8] => [8,1,2,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,7,3,2,1,8] => [8,1,2,3,7,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,3,4,2,1,8] => [8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,3,4,2,1,8] => [8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,4,2,1,8] => [8,1,2,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,4,2,1,8] => [8,1,2,4,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,3,5,2,1,8] => [8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,3,5,2,1,8] => [8,1,2,5,3,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,4,5,2,1,8] => [8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,6,2,1,8] => [8,1,2,6,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,7,2,1,8] => [8,1,2,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,5,7,2,1,8] => [8,1,2,7,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,6,7,2,1,8] => [8,1,2,7,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,2,3,1,8] => [8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,2,3,1,8] => [8,1,3,2,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,4,2,3,1,8] => [8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,5,2,3,1,8] => [8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,2,3,1,8] => [8,1,3,2,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,7,2,3,1,8] => [8,1,3,2,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,7,2,3,1,8] => [8,1,3,2,7,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,7,2,3,1,8] => [8,1,3,2,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,2,3,1,8] => [8,1,3,2,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,3,2,4,1,8] => [8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,3,2,4,1,8] => [8,1,4,2,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,2,4,1,8] => [8,1,4,2,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,2,4,1,8] => [8,1,4,2,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,2,3,4,1,8] => [8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,3,4,1,8] => [8,1,4,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,2,3,4,1,8] => [8,1,4,3,2,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,2,3,4,1,8] => [8,1,4,3,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,3,5,1,8] => [8,1,5,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,2,3,5,1,8] => [8,1,5,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,4,5,1,8] => [8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,3,4,5,1,8] => [8,1,5,4,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,2,6,1,8] => [8,1,6,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,2,3,6,1,8] => [8,1,6,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,5,6,1,8] => [8,1,6,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,3,2,7,1,8] => [8,1,7,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,4,2,7,1,8] => [8,1,7,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,2,7,1,8] => [8,1,7,2,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,2,7,1,8] => [8,1,7,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,2,3,7,1,8] => [8,1,7,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,2,3,7,1,8] => [8,1,7,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,3,7,1,8] => [8,1,7,3,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,2,3,7,1,8] => [8,1,7,3,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,4,7,1,8] => [8,1,7,4,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,4,7,1,8] => [8,1,7,4,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,5,7,1,8] => [8,1,7,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,2,5,7,1,8] => [8,1,7,5,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,3,5,7,1,8] => [8,1,7,5,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,5,7,1,8] => [8,1,7,5,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,4,5,7,1,8] => [8,1,7,5,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,6,7,1,8] => [8,1,7,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,3,6,7,1,8] => [8,1,7,6,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,6,7,1,8] => [8,1,7,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,6,7,1,8] => [8,1,7,6,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,6,7,1,8] => [8,1,7,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,3,1,2,8] => [8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,3,1,2,8] => [8,2,1,3,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,4,3,1,2,8] => [8,2,1,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,6,3,1,2,8] => [8,2,1,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,3,1,2,8] => [8,2,1,3,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,7,3,1,2,8] => [8,2,1,3,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,7,3,1,2,8] => [8,2,1,3,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,3,1,2,8] => [8,2,1,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,3,4,1,2,8] => [8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,3,4,1,2,8] => [8,2,1,4,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,4,1,2,8] => [8,2,1,4,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,4,5,1,2,8] => [8,2,1,5,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,3,6,1,2,8] => [8,2,1,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,6,1,2,8] => [8,2,1,6,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,3,7,1,2,8] => [8,2,1,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,3,7,1,2,8] => [8,2,1,7,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,4,7,1,2,8] => [8,2,1,7,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,7,1,2,8] => [8,2,1,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,7,1,2,8] => [8,2,1,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,7,1,2,8] => [8,2,1,7,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,6,7,1,2,8] => [8,2,1,7,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,6,7,1,2,8] => [8,2,1,7,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,6,7,1,2,8] => [8,2,1,7,6,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,4,2,1,3,8] => [8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,2,1,3,8] => [8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,2,1,3,8] => [8,3,1,2,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,4,2,1,3,8] => [8,3,1,2,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,4,2,1,3,8] => [8,3,1,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,5,2,1,3,8] => [8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,5,2,1,3,8] => [8,3,1,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,2,1,3,8] => [8,3,1,2,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,7,2,1,3,8] => [8,3,1,2,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,7,2,1,3,8] => [8,3,1,2,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,2,1,3,8] => [8,3,1,2,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,1,2,3,8] => [8,3,2,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,1,2,3,8] => [8,3,2,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,4,1,2,3,8] => [8,3,2,1,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,4,1,2,3,8] => [8,3,2,1,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,5,1,2,3,8] => [8,3,2,1,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,5,1,2,3,8] => [8,3,2,1,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,6,1,2,3,8] => [8,3,2,1,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,7,1,2,3,8] => [8,3,2,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,7,1,2,3,8] => [8,3,2,1,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,7,1,2,3,8] => [8,3,2,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,1,2,3,8] => [8,3,2,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,2,3,1,4,8] => [8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,2,3,1,4,8] => [8,4,1,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,3,1,4,8] => [8,4,1,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,2,3,1,4,8] => [8,4,1,3,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,3,1,2,4,8] => [8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,1,2,4,8] => [8,4,2,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,2,1,3,4,8] => [8,4,3,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,1,3,4,8] => [8,4,3,1,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,2,1,3,4,8] => [8,4,3,1,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,1,2,3,4,8] => [8,4,3,2,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,1,2,3,4,8] => [8,4,3,2,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,1,2,3,4,8] => [8,4,3,2,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,1,2,3,4,8] => [8,4,3,2,1,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,4,2,1,5,8] => [8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,4,2,1,5,8] => [8,5,1,2,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,2,3,1,5,8] => [8,5,1,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,2,4,1,5,8] => [8,5,1,4,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,4,1,2,5,8] => [8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,4,1,2,5,8] => [8,5,2,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,1,3,5,8] => [8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,2,1,3,5,8] => [8,5,3,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,1,2,3,5,8] => [8,5,3,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,1,2,3,5,8] => [8,5,3,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,1,4,5,8] => [8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,2,1,4,5,8] => [8,5,4,1,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,3,1,4,5,8] => [8,5,4,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,1,2,4,5,8] => [8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,1,2,4,5,8] => [8,5,4,2,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,2,3,4,5,8] => [8,5,4,3,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,3,2,1,6,8] => [8,6,1,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,3,2,1,6,8] => [8,6,1,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,2,1,6,8] => [8,6,1,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,5,2,1,6,8] => [8,6,1,2,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,2,3,1,6,8] => [8,6,1,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,3,4,1,6,8] => [8,6,1,4,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,5,1,6,8] => [8,6,1,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,2,5,1,6,8] => [8,6,1,5,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,3,1,2,6,8] => [8,6,2,1,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,1,2,6,8] => [8,6,2,1,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,5,1,2,6,8] => [8,6,2,1,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,1,3,6,8] => [8,6,3,1,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,1,2,3,6,8] => [8,6,3,2,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,2,1,4,6,8] => [8,6,4,1,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,3,1,4,6,8] => [8,6,4,1,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,1,3,4,6,8] => [8,6,4,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,2,1,5,6,8] => [8,6,5,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,3,1,5,6,8] => [8,6,5,1,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,1,5,6,8] => [8,6,5,1,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,2,5,6,8] => [8,6,5,2,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,1,2,5,6,8] => [8,6,5,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,1,4,5,6,8] => [8,6,5,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,1,4,5,6,8] => [8,6,5,4,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,3,4,5,6,8] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,3,2,1,7,8] => [8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,4,2,1,7,8] => [8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,2,1,7,8] => [8,7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,2,1,7,8] => [8,7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,5,2,1,7,8] => [8,7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,6,2,1,7,8] => [8,7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,2,1,7,8] => [8,7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,2,3,1,7,8] => [8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,2,3,1,7,8] => [8,7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,3,1,7,8] => [8,7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,2,4,1,7,8] => [8,7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,3,4,1,7,8] => [8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,4,1,7,8] => [8,7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,5,1,7,8] => [8,7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,5,1,7,8] => [8,7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,2,6,1,7,8] => [8,7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,6,1,7,8] => [8,7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,6,1,7,8] => [8,7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,5,6,1,7,8] => [8,7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,3,1,2,7,8] => [8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,3,1,2,7,8] => [8,7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,3,1,2,7,8] => [8,7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,3,1,2,7,8] => [8,7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,4,1,2,7,8] => [8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,1,2,7,8] => [8,7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,5,1,2,7,8] => [8,7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,2,1,3,7,8] => [8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,1,3,7,8] => [8,7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,1,2,3,7,8] => [8,7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,1,2,3,7,8] => [8,7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,1,2,3,7,8] => [8,7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,1,2,3,7,8] => [8,7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,1,4,7,8] => [8,7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,1,2,4,7,8] => [8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,1,2,4,7,8] => [8,7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,2,3,4,7,8] => [8,7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,2,1,5,7,8] => [8,7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,1,5,7,8] => [8,7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,4,1,5,7,8] => [8,7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,1,3,5,7,8] => [8,7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,1,4,5,7,8] => [8,7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,2,1,6,7,8] => [8,7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,1,6,7,8] => [8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,3,1,6,7,8] => [8,7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,1,6,7,8] => [8,7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,1,6,7,8] => [8,7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,5,1,6,7,8] => [8,7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,1,6,7,8] => [8,7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,5,1,6,7,8] => [8,7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,1,2,6,7,8] => [8,7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,1,2,6,7,8] => [8,7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,1,3,6,7,8] => [8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,2,3,6,7,8] => [8,7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,1,4,6,7,8] => [8,7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,1,4,6,7,8] => [8,7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,2,4,6,7,8] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,3,4,6,7,8] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,3,5,6,7,8] => [8,7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => 1

[5,8,7,6,4,3,2,1] => [1,2,3,4,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8) => 1

[6,5,8,7,4,3,2,1] => [1,2,3,4,7,8,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8) => 1

[5,6,8,7,4,3,2,1] => [1,2,3,4,7,8,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8) => 1

[5,7,6,8,4,3,2,1] => [1,2,3,4,8,6,7,5] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => 1

[4,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,5)],8) => 1

[3,8,7,6,5,4,2,1] => [1,2,4,5,6,7,8,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(4,2),(5,4),(6,4),(7,5)],8) => 1

[2,8,7,6,5,4,3,1] => [1,3,4,5,6,7,8,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8) => 1

[4,3,2,6,7,8,5,1] => [1,5,8,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,4,2,6,7,8,5,1] => [1,5,8,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[2,4,3,7,6,8,5,1] => [1,5,8,6,7,3,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[2,4,3,6,7,8,5,1] => [1,5,8,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,2,4,7,6,8,5,1] => [1,5,8,6,7,4,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[2,3,4,6,7,8,5,1] => [1,5,8,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,4,3,2,8,7,6,1] => [1,6,7,8,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,4,3,2,7,8,6,1] => [1,6,8,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,5,3,2,8,7,6,1] => [1,6,7,8,2,3,5,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,5,3,2,7,8,6,1] => [1,6,8,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,5,4,2,8,7,6,1] => [1,6,7,8,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,3,5,2,8,7,6,1] => [1,6,7,8,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,3,5,2,7,8,6,1] => [1,6,8,7,2,5,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,4,5,2,7,8,6,1] => [1,6,8,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,5,4,3,8,7,6,1] => [1,6,7,8,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,5,4,3,7,8,6,1] => [1,6,8,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,4,5,3,8,7,6,1] => [1,6,7,8,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,4,5,3,7,8,6,1] => [1,6,8,7,3,5,4,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,3,5,4,8,7,6,1] => [1,6,7,8,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,5,4,7,8,6,1] => [1,6,8,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,3,2,5,8,7,6,1] => [1,6,7,8,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,3,2,5,7,8,6,1] => [1,6,8,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,4,2,5,7,8,6,1] => [1,6,8,7,5,2,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,4,3,5,8,7,6,1] => [1,6,7,8,5,3,4,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,4,3,5,7,8,6,1] => [1,6,8,7,5,3,4,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,3,4,5,8,7,6,1] => [1,6,7,8,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,4,5,7,8,6,1] => [1,6,8,7,5,4,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,5,4,3,2,8,7,1] => [1,7,8,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,6,5,3,2,8,7,1] => [1,7,8,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,4,6,3,2,8,7,1] => [1,7,8,2,3,6,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,5,6,3,2,8,7,1] => [1,7,8,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,6,5,4,2,8,7,1] => [1,7,8,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,3,6,5,2,8,7,1] => [1,7,8,2,5,6,3,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,5,4,6,2,8,7,1] => [1,7,8,2,6,4,5,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,6,5,4,3,8,7,1] => [1,7,8,3,4,5,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,6,5,3,8,7,1] => [1,7,8,3,5,6,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,5,4,6,3,8,7,1] => [1,7,8,3,6,4,5,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,5,6,3,8,7,1] => [1,7,8,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,2,6,5,4,8,7,1] => [1,7,8,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,2,5,6,4,8,7,1] => [1,7,8,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,3,6,5,8,7,1] => [1,7,8,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,2,4,6,5,8,7,1] => [1,7,8,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,3,4,6,5,8,7,1] => [1,7,8,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,4,3,2,6,8,7,1] => [1,7,8,6,2,3,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,5,3,2,6,8,7,1] => [1,7,8,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,4,5,2,6,8,7,1] => [1,7,8,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,5,4,3,6,8,7,1] => [1,7,8,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,5,3,6,8,7,1] => [1,7,8,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,3,5,4,6,8,7,1] => [1,7,8,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,4,2,5,6,8,7,1] => [1,7,8,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,3,5,6,8,7,1] => [1,7,8,6,5,3,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,2,4,5,6,8,7,1] => [1,7,8,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,3,4,5,6,8,7,1] => [1,7,8,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,7,6,4,3,2,8,1] => [1,8,2,3,4,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,6,5,3,2,8,1] => [1,8,2,3,5,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,7,6,3,2,8,1] => [1,8,2,3,6,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,6,5,4,2,8,1] => [1,8,2,4,5,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,7,5,4,2,8,1] => [1,8,2,4,5,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,6,4,2,8,1] => [1,8,2,4,6,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,5,7,4,2,8,1] => [1,8,2,4,7,5,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,6,7,4,2,8,1] => [1,8,2,4,7,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,6,5,2,8,1] => [1,8,2,5,6,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,7,5,2,8,1] => [1,8,2,5,7,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,7,6,5,2,8,1] => [1,8,2,5,6,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,6,7,5,2,8,1] => [1,8,2,5,7,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,7,6,2,8,1] => [1,8,2,6,7,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,4,7,6,2,8,1] => [1,8,2,6,7,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,7,6,2,8,1] => [1,8,2,6,7,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,5,4,7,2,8,1] => [1,8,2,7,4,5,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,6,4,7,2,8,1] => [1,8,2,7,4,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,5,7,2,8,1] => [1,8,2,7,5,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,4,6,7,2,8,1] => [1,8,2,7,6,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,6,5,4,3,8,1] => [1,8,3,4,5,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,7,6,4,3,8,1] => [1,8,3,4,6,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,6,7,4,3,8,1] => [1,8,3,4,7,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,7,6,5,3,8,1] => [1,8,3,5,6,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,6,7,5,3,8,1] => [1,8,3,5,7,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,7,6,3,8,1] => [1,8,3,6,7,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,5,7,6,3,8,1] => [1,8,3,6,7,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,5,4,7,3,8,1] => [1,8,3,7,4,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,6,4,7,3,8,1] => [1,8,3,7,4,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,6,5,7,3,8,1] => [1,8,3,7,5,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,6,7,3,8,1] => [1,8,3,7,6,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,5,6,7,3,8,1] => [1,8,3,7,6,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,6,7,5,4,8,1] => [1,8,4,5,7,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,7,6,4,8,1] => [1,8,4,6,7,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,6,5,7,4,8,1] => [1,8,4,7,5,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,6,7,4,8,1] => [1,8,4,7,6,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,6,5,4,8,1] => [1,8,4,5,6,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,7,6,4,8,1] => [1,8,4,6,7,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,6,7,4,8,1] => [1,8,4,7,6,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,7,6,5,8,1] => [1,8,5,6,7,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,6,7,5,8,1] => [1,8,5,7,6,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,2,7,6,5,8,1] => [1,8,5,6,7,2,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,2,6,7,5,8,1] => [1,8,5,7,6,2,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,7,6,5,8,1] => [1,8,5,6,7,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,4,7,6,5,8,1] => [1,8,5,6,7,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,7,6,5,8,1] => [1,8,5,6,7,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,6,7,5,8,1] => [1,8,5,7,6,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,2,7,6,8,1] => [1,8,6,7,2,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,5,2,7,6,8,1] => [1,8,6,7,2,5,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,2,7,6,8,1] => [1,8,6,7,2,5,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,3,7,6,8,1] => [1,8,6,7,3,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,4,7,6,8,1] => [1,8,6,7,4,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,4,7,6,8,1] => [1,8,6,7,4,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,5,7,6,8,1] => [1,8,6,7,5,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,5,7,6,8,1] => [1,8,6,7,5,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,4,5,7,6,8,1] => [1,8,6,7,5,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,5,7,6,8,1] => [1,8,6,7,5,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,5,3,2,7,8,1] => [1,8,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,5,4,2,7,8,1] => [1,8,7,2,4,5,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,5,2,7,8,1] => [1,8,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,6,5,2,7,8,1] => [1,8,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,4,6,2,7,8,1] => [1,8,7,2,6,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,5,4,3,7,8,1] => [1,8,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,6,4,3,7,8,1] => [1,8,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,5,6,3,7,8,1] => [1,8,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,6,5,4,7,8,1] => [1,8,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,5,4,7,8,1] => [1,8,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,6,4,7,8,1] => [1,8,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,6,5,7,8,1] => [1,8,7,5,6,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,6,5,7,8,1] => [1,8,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,4,6,5,7,8,1] => [1,8,7,5,6,4,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,6,5,7,8,1] => [1,8,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,4,2,6,7,8,1] => [1,8,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,3,6,7,8,1] => [1,8,7,6,3,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,5,3,6,7,8,1] => [1,8,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,4,6,7,8,1] => [1,8,7,6,4,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,4,6,7,8,1] => [1,8,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,5,6,7,8,1] => [1,8,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8) => 2

[5,7,6,4,3,2,1,8] => [8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,3,2,1,8] => [8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,5,3,2,1,8] => [8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,6,3,2,1,8] => [8,1,2,3,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,6,3,2,1,8] => [8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,7,3,2,1,8] => [8,1,2,3,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,5,4,2,1,8] => [8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,6,4,2,1,8] => [8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,7,4,2,1,8] => [8,1,2,4,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,6,5,2,1,8] => [8,1,2,5,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,6,5,2,1,8] => [8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,6,2,1,8] => [8,1,2,6,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,7,6,2,1,8] => [8,1,2,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,6,2,1,8] => [8,1,2,6,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,7,6,2,1,8] => [8,1,2,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,3,7,2,1,8] => [8,1,2,7,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,4,7,2,1,8] => [8,1,2,7,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,4,7,2,1,8] => [8,1,2,7,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,5,7,2,1,8] => [8,1,2,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,6,7,2,1,8] => [8,1,2,7,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,4,3,1,8] => [8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,5,4,3,1,8] => [8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,6,5,3,1,8] => [8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,7,5,3,1,8] => [8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,7,6,3,1,8] => [8,1,3,6,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,7,6,3,1,8] => [8,1,3,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,7,3,1,8] => [8,1,3,7,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,4,7,3,1,8] => [8,1,3,7,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,5,7,3,1,8] => [8,1,3,7,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,7,3,1,8] => [8,1,3,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,6,7,3,1,8] => [8,1,3,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,6,5,4,1,8] => [8,1,4,5,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,7,5,4,1,8] => [8,1,4,5,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,6,4,1,8] => [8,1,4,6,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,6,7,4,1,8] => [8,1,4,7,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,6,5,4,1,8] => [8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,7,5,4,1,8] => [8,1,4,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,7,4,1,8] => [8,1,4,7,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,7,6,5,1,8] => [8,1,5,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,6,7,5,1,8] => [8,1,5,7,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,7,6,5,1,8] => [8,1,5,6,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,6,7,5,1,8] => [8,1,5,7,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,7,6,5,1,8] => [8,1,5,6,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,7,6,5,1,8] => [8,1,5,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,7,6,5,1,8] => [8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,7,5,1,8] => [8,1,5,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,7,6,1,8] => [8,1,6,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,2,7,6,1,8] => [8,1,6,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,2,7,6,1,8] => [8,1,6,7,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,2,7,6,1,8] => [8,1,6,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,7,6,1,8] => [8,1,6,7,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,7,6,1,8] => [8,1,6,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,7,6,1,8] => [8,1,6,7,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,7,6,1,8] => [8,1,6,7,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,5,7,6,1,8] => [8,1,6,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,5,7,6,1,8] => [8,1,6,7,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,5,7,6,1,8] => [8,1,6,7,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,7,6,1,8] => [8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,3,2,7,1,8] => [8,1,7,2,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,4,2,7,1,8] => [8,1,7,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,4,2,7,1,8] => [8,1,7,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,5,2,7,1,8] => [8,1,7,2,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,5,2,7,1,8] => [8,1,7,2,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,6,2,7,1,8] => [8,1,7,2,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,3,7,1,8] => [8,1,7,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,5,3,7,1,8] => [8,1,7,3,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,3,7,1,8] => [8,1,7,3,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,4,7,1,8] => [8,1,7,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,4,7,1,8] => [8,1,7,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,6,5,7,1,8] => [8,1,7,5,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,6,5,7,1,8] => [8,1,7,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,6,5,7,1,8] => [8,1,7,5,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,6,5,7,1,8] => [8,1,7,5,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,5,7,1,8] => [8,1,7,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,2,6,7,1,8] => [8,1,7,6,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,3,6,7,1,8] => [8,1,7,6,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,3,6,7,1,8] => [8,1,7,6,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,6,7,1,8] => [8,1,7,6,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,6,7,1,8] => [8,1,7,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,5,6,7,1,8] => [8,1,7,6,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,5,4,3,2,8] => [8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,7,4,3,2,8] => [8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,6,5,3,2,8] => [8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,7,5,3,2,8] => [8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,7,6,3,2,8] => [8,2,3,6,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,4,7,3,2,8] => [8,2,3,7,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,5,7,3,2,8] => [8,2,3,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,6,7,3,2,8] => [8,2,3,7,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,6,7,3,2,8] => [8,2,3,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,6,5,4,2,8] => [8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,7,5,4,2,8] => [8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,6,4,2,8] => [8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,5,7,4,2,8] => [8,2,4,7,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,7,4,2,8] => [8,2,4,7,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,7,6,5,2,8] => [8,2,5,6,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,6,7,5,2,8] => [8,2,5,7,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,7,6,2,8] => [8,2,6,7,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,5,7,6,2,8] => [8,2,6,7,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,5,7,6,2,8] => [8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,4,3,7,2,8] => [8,2,7,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,4,3,7,2,8] => [8,2,7,3,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,6,3,7,2,8] => [8,2,7,3,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,6,3,7,2,8] => [8,2,7,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,5,4,7,2,8] => [8,2,7,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,4,7,2,8] => [8,2,7,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,6,5,7,2,8] => [8,2,7,5,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,6,5,7,2,8] => [8,2,7,5,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,3,6,7,2,8] => [8,2,7,6,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,3,6,7,2,8] => [8,2,7,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,6,7,2,8] => [8,2,7,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,5,6,7,2,8] => [8,2,7,6,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,5,6,7,2,8] => [8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,7,6,5,4,3,8] => [8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,7,5,4,3,8] => [8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,7,6,4,3,8] => [8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,5,4,7,3,8] => [8,3,7,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,4,7,3,8] => [8,3,7,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,4,6,7,3,8] => [8,3,7,6,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,6,5,4,3,8] => [8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,7,5,4,3,8] => [8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,7,4,3,8] => [8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,7,5,3,8] => [8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,5,4,7,3,8] => [8,3,7,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,4,7,3,8] => [8,3,7,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,5,7,3,8] => [8,3,7,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,5,6,7,3,8] => [8,3,7,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,6,5,4,8] => [8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,5,6,7,4,8] => [8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,7,5,4,8] => [8,4,5,7,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,5,7,4,8] => [8,4,7,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,5,6,7,4,8] => [8,4,7,6,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,7,6,5,4,8] => [8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,6,7,5,4,8] => [8,4,5,7,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,5,7,6,4,8] => [8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,6,5,7,4,8] => [8,4,7,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,5,6,7,4,8] => [8,4,7,6,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,7,6,4,8] => [8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,6,7,4,8] => [8,4,7,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,7,6,5,4,8] => [8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,6,7,5,4,8] => [8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,7,6,4,8] => [8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,6,7,4,8] => [8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,7,6,5,8] => [8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,6,7,5,8] => [8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,1,6,7,5,8] => [8,5,7,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,7,6,5,8] => [8,5,6,7,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,6,7,5,8] => [8,5,7,6,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,7,6,5,8] => [8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,6,7,5,8] => [8,5,7,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,2,6,7,5,8] => [8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,2,7,6,5,8] => [8,5,6,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,2,6,7,5,8] => [8,5,7,6,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,3,7,6,5,8] => [8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,3,6,7,5,8] => [8,5,7,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,3,7,6,5,8] => [8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,4,7,6,5,8] => [8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,7,6,5,8] => [8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,6,7,5,8] => [8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,4,6,7,5,8] => [8,5,7,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,7,6,5,8] => [8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,6,7,5,8] => [8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,1,7,6,8] => [8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,2,1,7,6,8] => [8,6,7,1,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,1,7,6,8] => [8,6,7,1,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,1,7,6,8] => [8,6,7,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,1,7,6,8] => [8,6,7,1,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,5,1,7,6,8] => [8,6,7,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,5,1,7,6,8] => [8,6,7,1,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,1,7,6,8] => [8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,3,2,7,6,8] => [8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,3,2,7,6,8] => [8,6,7,2,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,2,7,6,8] => [8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,5,2,7,6,8] => [8,6,7,2,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,4,3,7,6,8] => [8,6,7,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,4,3,7,6,8] => [8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,5,4,7,6,8] => [8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,5,4,7,6,8] => [8,6,7,4,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,5,4,7,6,8] => [8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,4,7,6,8] => [8,6,7,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,4,7,6,8] => [8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,5,7,6,8] => [8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,5,7,6,8] => [8,6,7,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,5,7,6,8] => [8,6,7,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,2,5,7,6,8] => [8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,2,5,7,6,8] => [8,6,7,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,3,5,7,6,8] => [8,6,7,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,4,5,7,6,8] => [8,6,7,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,4,5,7,6,8] => [8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,5,7,6,8] => [8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,4,2,1,7,8] => [8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,4,2,1,7,8] => [8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,3,1,7,8] => [8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,6,3,1,7,8] => [8,7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,4,1,7,8] => [8,7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,6,4,1,7,8] => [8,7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,5,4,1,7,8] => [8,7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,4,1,7,8] => [8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,6,5,1,7,8] => [8,7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,6,5,1,7,8] => [8,7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,5,1,7,8] => [8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,3,6,1,7,8] => [8,7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,6,1,7,8] => [8,7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,6,1,7,8] => [8,7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,4,3,2,7,8] => [8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,6,3,2,7,8] => [8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,5,4,2,7,8] => [8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,4,2,7,8] => [8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,6,5,2,7,8] => [8,7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,3,6,2,7,8] => [8,7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,6,2,7,8] => [8,7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,5,4,3,7,8] => [8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,4,3,7,8] => [8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,5,4,3,7,8] => [8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,4,3,7,8] => [8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,5,3,7,8] => [8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,4,6,3,7,8] => [8,7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,5,6,3,7,8] => [8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,6,5,4,7,8] => [8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,5,4,7,8] => [8,7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,6,5,4,7,8] => [8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,6,4,7,8] => [8,7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,6,5,4,7,8] => [8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,6,4,7,8] => [8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,6,5,7,8] => [8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,1,6,5,7,8] => [8,7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,1,6,5,7,8] => [8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,6,5,7,8] => [8,7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,6,5,7,8] => [8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,2,6,5,7,8] => [8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,3,6,5,7,8] => [8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,4,6,5,7,8] => [8,7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,6,5,7,8] => [8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,4,6,5,7,8] => [8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,6,5,7,8] => [8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,2,1,6,7,8] => [8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,3,1,6,7,8] => [8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,3,1,6,7,8] => [8,7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,1,6,7,8] => [8,7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,1,6,7,8] => [8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,5,1,6,7,8] => [8,7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,3,2,6,7,8] => [8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,5,2,6,7,8] => [8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,4,3,6,7,8] => [8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,5,3,6,7,8] => [8,7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,4,3,6,7,8] => [8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,5,4,6,7,8] => [8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,5,4,6,7,8] => [8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,4,6,7,8] => [8,7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,1,5,6,7,8] => [8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,2,5,6,7,8] => [8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,2,5,6,7,8] => [8,7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,3,5,6,7,8] => [8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,3,5,6,7,8] => [8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,5,6,7,8] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,4,5,3,7,8] => [8,7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,4,5,7,3,8] => [8,3,7,5,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,4,5,6,3,8] => [8,3,6,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,4,6,5,3,8] => [8,3,5,6,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,5,4,6,3,8] => [8,3,6,4,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,7,5,6,4,8] => [8,4,6,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,4,5,7,2,8] => [8,2,7,5,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,4,5,6,2,8] => [8,2,6,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,5,4,6,2,8] => [8,2,6,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,4,5,2,7,8] => [8,7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,4,5,7,2,8] => [8,2,7,5,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,4,5,6,2,8] => [8,2,6,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,5,4,2,7,8] => [8,7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,5,4,7,2,8] => [8,2,7,4,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,4,6,2,8] => [8,2,6,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,6,5,4,2,8] => [8,2,4,5,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,5,3,2,7,8] => [8,7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,5,6,3,2,8] => [8,2,3,6,5,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,4,3,6,2,8] => [8,2,6,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,4,5,3,2,8] => [8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,7,5,6,4,8] => [8,4,6,5,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,8,6,7,1] => [1,7,6,8,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,4,7,5,6,1,8] => [8,1,6,5,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,8,5,6,7,1] => [1,7,6,5,8,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,3,4,8,6,5,7,1] => [1,7,5,6,8,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,3,5,4,8,6,7,1] => [1,7,6,8,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,6,4,5,1,7,8] => [8,7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,4,5,7,8,1] => [1,8,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,4,5,8,7,1] => [1,7,8,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,3,7,4,5,6,8,1] => [1,8,6,5,4,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,4,6,5,1,8] => [8,1,5,6,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,4,6,5,8,1] => [1,8,5,6,4,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,5,4,6,8,1] => [1,8,6,4,5,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,5,6,4,8,1] => [1,8,4,6,5,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,7,5,6,1,8] => [8,1,6,5,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,7,5,6,8,1] => [1,8,6,5,7,3,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,8,5,6,7,1] => [1,7,6,5,8,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,8,6,5,7,1] => [1,7,5,6,8,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,5,3,4,1,6,7,8] => [8,7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,4,1,7,6,8] => [8,6,7,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,4,6,1,7,8] => [8,7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,4,6,7,1,8] => [8,1,7,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,4,6,7,8,1] => [1,8,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,3,4,8,6,7,1] => [1,7,6,8,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,5,3,4,8,7,6,1] => [1,6,7,8,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,6,3,4,5,7,8,1] => [1,8,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,3,4,5,8,7,1] => [1,7,8,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,7,3,4,5,6,8,1] => [1,8,6,5,4,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,3,4,6,5,8,1] => [1,8,5,6,4,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,3,5,4,1,7,8] => [8,7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,5,4,7,8,1] => [1,8,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,3,5,4,8,7,1] => [1,7,8,4,5,3,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,7,3,5,4,6,8,1] => [1,8,6,4,5,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,3,5,6,4,1,8] => [8,1,4,6,5,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,5,6,4,8,1] => [1,8,4,6,5,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,3,6,5,4,1,8] => [8,1,4,5,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,3,8,6,7,1] => [1,7,6,8,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,6,4,3,5,7,8,1] => [1,8,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,4,3,5,8,7,1] => [1,7,8,5,3,4,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,7,4,3,5,6,1,8] => [8,1,6,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,5,3,1,7,8] => [8,7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,5,3,7,1,8] => [8,1,7,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,5,3,7,8,1] => [1,8,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,4,5,3,8,7,1] => [1,7,8,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,7,4,5,3,6,1,8] => [8,1,6,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,5,6,3,8,1] => [1,8,3,6,5,4,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,4,6,5,3,1,8] => [8,1,3,5,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,6,5,3,8,1] => [1,8,3,5,6,4,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,5,4,3,6,1,8] => [8,1,6,3,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,4,6,3,8,1] => [1,8,3,6,4,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,6,4,5,3,8,1] => [1,8,3,5,4,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,1,7,5,6,4,8] => [8,4,6,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,5,8,6,7,1] => [1,7,6,8,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,2,4,8,5,6,7,1] => [1,7,6,5,8,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,4,8,6,7,1] => [1,7,6,8,4,5,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,2,6,4,5,1,7,8] => [8,7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,4,5,7,1,8] => [8,1,7,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,4,5,7,8,1] => [1,8,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,6,4,5,8,7,1] => [1,7,8,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,2,7,4,5,6,1,8] => [8,1,6,5,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,4,6,5,1,8] => [8,1,5,6,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,4,6,5,8,1] => [1,8,5,6,4,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,7,5,4,6,1,8] => [8,1,6,4,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,5,4,6,8,1] => [1,8,6,4,5,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,7,5,6,4,1,8] => [8,1,4,6,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,5,6,4,8,1] => [1,8,4,6,5,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,3,1,5,7,6,8] => [8,6,7,5,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,1,6,7,5,8] => [8,5,7,6,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,1,7,6,5,8] => [8,5,6,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,6,8,7,1] => [1,7,8,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,2,3,5,7,6,1,8] => [8,1,6,7,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,7,6,8,1] => [1,8,6,7,5,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,3,6,5,1,7,8] => [8,7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,7,5,6,1,8] => [8,1,6,5,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,7,5,6,8,1] => [1,8,6,5,7,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,3,7,6,5,1,8] => [8,1,5,6,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,7,6,5,8,1] => [1,8,5,6,7,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,4,1,7,6,8] => [8,6,7,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,6,8,7,1] => [1,7,8,6,4,3,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,2,3,4,7,6,1,8] => [8,1,6,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,8,6,7,1] => [1,7,6,8,4,3,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,2,3,4,8,7,6,1] => [1,6,7,8,4,3,2,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,2,3,4,5,8,7,1] => [1,7,8,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,2,3,4,6,5,1,8] => [8,1,5,6,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,6,5,8,1] => [1,8,5,6,4,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,5,4,1,7,8] => [8,7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,5,4,7,1,8] => [8,1,7,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,5,4,7,8,1] => [1,8,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,5,4,8,7,1] => [1,7,8,4,5,3,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,2,3,5,4,6,1,8] => [8,1,6,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,5,6,4,1,8] => [8,1,4,6,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,5,6,4,8,1] => [1,8,4,6,5,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,3,6,5,4,1,8] => [8,1,4,5,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,6,5,4,8,1] => [1,8,4,5,6,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,4,3,1,6,7,8] => [8,7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,1,7,6,8] => [8,6,7,1,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,6,1,7,8] => [8,7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,6,7,1,8] => [8,1,7,6,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,6,7,8,1] => [1,8,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,4,3,6,8,7,1] => [1,7,8,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,2,4,3,7,6,1,8] => [8,1,6,7,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,7,6,8,1] => [1,8,6,7,3,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,4,3,8,6,7,1] => [1,7,6,8,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,2,4,3,8,7,6,1] => [1,6,7,8,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,2,4,3,5,7,8,1] => [1,8,7,5,3,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,4,3,5,8,7,1] => [1,7,8,5,3,4,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,2,4,3,6,5,8,1] => [1,8,5,6,3,4,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,4,5,3,7,1,8] => [8,1,7,3,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,5,3,7,8,1] => [1,8,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,4,5,3,8,7,1] => [1,7,8,3,5,4,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,2,4,5,3,6,8,1] => [1,8,6,3,5,4,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,4,5,6,3,1,8] => [8,1,3,6,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,5,6,7,3,1] => [1,3,7,6,5,4,2,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[7,2,4,6,5,3,1,8] => [8,1,3,5,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,4,3,1,7,8] => [8,7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,4,3,7,1,8] => [8,1,7,3,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,4,3,7,8,1] => [1,8,7,3,4,5,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,5,4,3,8,7,1] => [1,7,8,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,2,5,4,3,6,1,8] => [8,1,6,3,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,4,3,6,8,1] => [1,8,6,3,4,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,5,4,6,3,1,8] => [8,1,3,6,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,4,6,3,8,1] => [1,8,3,6,4,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,6,4,5,3,1,8] => [8,1,3,5,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,5,4,3,8,1] => [1,8,3,4,5,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,6,5,4,7,3,1] => [1,3,7,4,5,6,2,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[4,3,2,7,5,6,8,1] => [1,8,6,5,7,2,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,2,8,5,6,7,1] => [1,7,6,5,8,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,4,1,7,6,8] => [8,6,7,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,7,6,1,8] => [8,1,6,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,7,6,8,1] => [1,8,6,7,4,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,4,8,6,7,1] => [1,7,6,8,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,3,2,4,8,7,6,1] => [1,6,7,8,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,3,2,4,5,8,7,1] => [1,7,8,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,2,4,6,5,1,8] => [8,1,5,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,4,6,5,8,1] => [1,8,5,6,4,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,2,4,6,7,5,1] => [1,5,7,6,4,2,3,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,3,2,5,4,1,7,8] => [8,7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,4,7,1,8] => [8,1,7,4,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,4,7,8,1] => [1,8,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,2,5,4,8,7,1] => [1,7,8,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,2,5,4,6,1,8] => [8,1,6,4,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,4,6,8,1] => [1,8,6,4,5,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,2,6,5,4,1,8] => [8,1,4,5,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,2,6,8,7,1] => [1,7,8,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,3,4,2,7,6,1,8] => [8,1,6,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,2,7,6,8,1] => [1,8,6,7,2,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,4,2,8,6,7,1] => [1,7,6,8,2,4,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,3,4,2,8,7,6,1] => [1,6,7,8,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,3,4,2,6,5,1,8] => [8,1,5,6,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,2,6,5,8,1] => [1,8,5,6,2,4,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,4,2,6,7,5,1] => [1,5,7,6,2,4,3,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,3,4,5,2,8,7,1] => [1,7,8,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,4,6,5,2,1,8] => [8,1,2,5,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,5,2,8,1] => [1,8,2,5,6,4,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,5,4,2,1,7,8] => [8,7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,4,2,7,1,8] => [8,1,7,2,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,4,2,7,8,1] => [1,8,7,2,4,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,5,4,2,8,7,1] => [1,7,8,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,5,4,2,6,1,8] => [8,1,6,2,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,4,6,2,1,8] => [8,1,2,6,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,4,5,2,1,8] => [8,1,2,5,4,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,5,4,2,1,8] => [8,1,2,4,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,8,6,7,1] => [1,7,6,8,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,4,3,2,6,5,8,1] => [1,8,5,6,2,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,3,2,6,7,5,1] => [1,5,7,6,2,3,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,4,3,5,2,8,7,1] => [1,7,8,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,4,3,6,5,2,1,8] => [8,1,2,5,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,6,5,2,8,1] => [1,8,2,5,6,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,3,4,2,8,7,1] => [1,7,8,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,6,3,5,4,2,1,8] => [8,1,2,4,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,7,3,6,5,4,2,1] => [1,2,4,5,6,3,7,8] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => 1

[2,4,1,3,6,5,7,8] => [8,7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,6,3,5,7,8] => [8,7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,3,5,7,8] => [8,7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,3,6,7,5,8] => [8,5,7,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,6,3,7,5,8] => [8,5,7,3,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,3,7,5,8] => [8,5,7,3,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,6,7,3,5,8] => [8,5,3,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,7,3,5,8] => [8,5,3,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,3,7,8,5,6] => [6,5,8,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,1,3,7,8,5,6] => [6,5,8,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,4,7,3,8,5,6] => [6,5,8,3,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,1,7,3,8,5,6] => [6,5,8,3,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,7,1,3,8,5,6] => [6,5,8,3,1,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,7,8,1,3,5,6] => [6,5,3,1,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,4,3,7,5,6,8] => [8,6,5,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,3,5,7,6,8] => [8,6,7,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,5,3,7,6,8] => [8,6,7,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,5,7,3,6,8] => [8,6,3,7,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,1,7,3,6,8] => [8,6,3,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,7,1,3,6,8] => [8,6,3,1,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,5,7,8,3,6] => [6,3,8,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,1,5,7,8,3,6] => [6,3,8,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,5,1,7,8,3,6] => [6,3,8,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,5,7,1,8,3,6] => [6,3,8,1,7,5,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,1,3,5,6,7,8] => [8,7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,5,3,6,7,8] => [8,7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,1,3,6,7,8] => [8,7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,5,6,3,7,8] => [8,7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,1,6,3,7,8] => [8,7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,6,1,3,7,8] => [8,7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,5,6,7,3,8] => [8,3,7,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,1,6,7,3,8] => [8,3,7,6,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,6,1,7,3,8] => [8,3,7,1,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,6,7,1,3,8] => [8,3,1,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,3,6,4,7,8] => [8,7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,3,4,7,8] => [8,7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,6,3,4,7,8] => [8,7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,3,6,7,4,8] => [8,4,7,6,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,3,7,4,8] => [8,4,7,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,6,3,7,4,8] => [8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,1,3,7,4,8] => [8,4,7,3,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,7,3,4,8] => [8,4,3,7,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,6,7,3,4,8] => [8,4,3,7,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,1,7,3,4,8] => [8,4,3,7,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,7,1,3,4,8] => [8,4,3,1,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,6,7,8,3,4] => [4,3,8,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,5,1,6,7,8,3,4] => [4,3,8,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,5,6,1,7,8,3,4] => [4,3,8,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,5,6,7,1,8,3,4] => [4,3,8,1,7,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,5,3,7,8,4,6] => [6,4,8,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,1,3,7,8,4,6] => [6,4,8,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,5,7,3,8,4,6] => [6,4,8,3,7,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,1,7,3,8,4,6] => [6,4,8,3,7,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,7,1,3,8,4,6] => [6,4,8,3,1,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,7,8,1,3,4,6] => [6,4,3,1,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,5,3,7,4,6,8] => [8,6,4,7,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,3,7,4,6,8] => [8,6,4,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,7,3,4,6,8] => [8,6,4,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,3,4,7,6,8] => [8,6,7,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,1,4,7,6,8] => [8,6,7,4,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,7,4,6,8] => [8,6,4,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,5,7,4,6,8] => [8,6,4,7,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,1,7,4,6,8] => [8,6,4,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,7,1,4,6,8] => [8,6,4,1,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,5,7,8,4,6] => [6,4,8,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,5,7,1,8,4,6] => [6,4,8,1,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,1,3,4,6,7,8] => [8,7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,1,4,6,7,8] => [8,7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,1,6,4,7,8] => [8,7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,1,4,7,8] => [8,7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,1,7,4,8] => [8,4,7,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,7,1,4,8] => [8,4,1,7,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,6,7,8,1,4] => [4,1,8,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,6,3,7,4,5,8] => [8,5,4,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,7,3,4,5,8] => [8,5,4,3,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,1,3,4,5,8] => [8,5,4,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,3,4,7,5,8] => [8,5,7,4,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,3,4,7,5,8] => [8,5,7,4,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,4,7,5,8] => [8,5,7,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,1,4,7,5,8] => [8,5,7,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,6,7,4,5,8] => [8,5,4,7,6,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,7,4,5,8] => [8,5,4,7,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,1,7,4,5,8] => [8,5,4,7,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,7,1,4,5,8] => [8,5,4,1,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,3,4,5,7,8] => [8,7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,6,4,5,7,8] => [8,7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,6,4,5,7,8] => [8,7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,1,4,5,7,8] => [8,7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,1,5,7,8] => [8,7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,1,7,5,8] => [8,5,7,1,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,7,1,5,8] => [8,5,1,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,7,8,3,4,5,6] => [6,5,4,3,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,1,8,3,4,5,6] => [6,5,4,3,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,7,3,4,8,5,6] => [6,5,8,4,3,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,1,3,4,8,5,6] => [6,5,8,4,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,1,7,4,8,5,6] => [6,5,8,4,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,7,1,4,8,5,6] => [6,5,8,4,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,7,8,1,4,5,6] => [6,5,4,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,3,4,7,8,5,6] => [6,5,8,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,1,4,7,8,5,6] => [6,5,8,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,4,1,7,8,5,6] => [6,5,8,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,4,7,1,8,5,6] => [6,5,8,1,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,7,3,4,5,6,8] => [8,6,5,4,3,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,3,4,5,6,8] => [8,6,5,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,7,4,5,6,8] => [8,6,5,4,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,4,7,5,6,8] => [8,6,5,7,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,1,4,7,5,6,8] => [8,6,5,7,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,1,7,5,6,8] => [8,6,5,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,7,1,5,6,8] => [8,6,5,1,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,7,1,6,8] => [8,6,1,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,5,7,8,1,6] => [6,1,8,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,4,2,6,5,7,8] => [8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,6,5,7,8] => [8,7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,1,2,5,7,8] => [8,7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,6,7,5,8] => [8,5,7,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,6,2,7,5,8] => [8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,1,2,7,5,8] => [8,5,7,2,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,6,7,2,5,8] => [8,5,2,7,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,1,7,2,5,8] => [8,5,2,7,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,7,1,2,5,8] => [8,5,2,1,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,2,7,8,5,6] => [6,5,8,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,1,2,7,8,5,6] => [6,5,8,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,4,7,2,8,5,6] => [6,5,8,2,7,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,1,7,2,8,5,6] => [6,5,8,2,7,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,7,1,2,8,5,6] => [6,5,8,2,1,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,7,8,1,2,5,6] => [6,5,2,1,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,1,4,2,7,5,6,8] => [8,6,5,7,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,7,5,6,8] => [8,6,5,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,7,2,5,6,8] => [8,6,5,2,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,1,2,5,6,8] => [8,6,5,2,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,5,7,6,8] => [8,6,7,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,5,2,7,6,8] => [8,6,7,2,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,7,2,6,8] => [8,6,2,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,5,7,2,6,8] => [8,6,2,7,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,1,7,2,6,8] => [8,6,2,7,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,7,8,2,6] => [6,2,8,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,1,5,7,8,2,6] => [6,2,8,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,5,1,7,8,2,6] => [6,2,8,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,5,7,1,8,2,6] => [6,2,8,1,7,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,4,2,5,6,7,8] => [8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,2,6,7,8] => [8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,6,2,7,8] => [8,7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,5,6,2,7,8] => [8,7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,1,6,2,7,8] => [8,7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,6,7,2,8] => [8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,5,6,7,2,8] => [8,2,7,6,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,1,6,7,2,8] => [8,2,7,6,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,1,7,2,8] => [8,2,7,1,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,2,6,4,7,8] => [8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,2,6,4,7,8] => [8,7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,6,2,4,7,8] => [8,7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,6,2,4,7,8] => [8,7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,1,2,4,7,8] => [8,7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,2,6,7,4,8] => [8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,2,6,7,4,8] => [8,4,7,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,6,2,7,4,8] => [8,4,7,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,6,2,7,4,8] => [8,4,7,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,1,2,7,4,8] => [8,4,7,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,6,7,2,4,8] => [8,4,2,7,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,1,7,2,4,8] => [8,4,2,7,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,7,1,2,4,8] => [8,4,2,1,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,6,7,8,2,4] => [4,2,8,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,1,6,7,8,2,4] => [4,2,8,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,6,1,7,8,2,4] => [4,2,8,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,6,7,1,8,2,4] => [4,2,8,1,7,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,1,5,2,7,8,4,6] => [6,4,8,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,1,2,7,8,4,6] => [6,4,8,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,5,7,2,8,4,6] => [6,4,8,2,7,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,1,7,2,8,4,6] => [6,4,8,2,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,7,1,2,8,4,6] => [6,4,8,2,1,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,7,8,1,2,4,6] => [6,4,2,1,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,1,5,2,7,4,6,8] => [8,6,4,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,7,2,4,6,8] => [8,6,4,2,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,1,2,4,6,8] => [8,6,4,2,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,2,4,7,6,8] => [8,6,7,4,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,5,7,4,6,8] => [8,6,4,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,5,7,4,6,8] => [8,6,4,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,2,7,4,6,8] => [8,6,4,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,2,4,6,8] => [8,6,4,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,5,7,8,4,6] => [6,4,8,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,2,5,7,8,4,6] => [6,4,8,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,5,2,7,8,4,6] => [6,4,8,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,5,7,2,8,4,6] => [6,4,8,2,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,5,2,4,6,7,8] => [8,7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,2,4,6,7,8] => [8,7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,5,4,6,7,8] => [8,7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,2,4,6,7,8] => [8,7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,2,4,7,8] => [8,7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,2,6,7,4,8] => [8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,2,7,4,8] => [8,4,7,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,6,7,8,2,4] => [4,2,8,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,1,6,2,7,4,5,8] => [8,5,4,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,7,2,4,5,8] => [8,5,4,2,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,1,2,4,5,8] => [8,5,4,2,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,2,4,7,5,8] => [8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,2,4,7,5,8] => [8,5,7,4,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,6,4,7,5,8] => [8,5,7,4,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,6,4,7,5,8] => [8,5,7,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,2,4,7,5,8] => [8,5,7,4,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,6,7,4,5,8] => [8,5,4,7,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,2,7,4,5,8] => [8,5,4,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,7,2,4,5,8] => [8,5,4,2,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,2,4,5,7,8] => [8,7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,2,4,5,7,8] => [8,7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,6,4,5,7,8] => [8,7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,4,6,5,7,8] => [8,7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,6,2,5,7,8] => [8,7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,4,6,7,5,8] => [8,5,7,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,6,2,7,5,8] => [8,5,7,2,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,8,2,4,5,6] => [6,5,4,2,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,1,2,4,8,5,6] => [6,5,8,4,2,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,2,7,4,8,5,6] => [6,5,8,4,7,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,2,7,4,8,5,6] => [6,5,8,4,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,7,2,4,8,5,6] => [6,5,8,4,2,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,2,4,7,8,5,6] => [6,5,8,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,2,4,7,8,5,6] => [6,5,8,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,4,2,7,8,5,6] => [6,5,8,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,1,2,4,5,6,8] => [8,6,5,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,7,4,5,6,8] => [8,6,5,4,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,2,4,5,6,8] => [8,6,5,4,2,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,4,7,5,6,8] => [8,6,5,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,2,7,5,6,8] => [8,6,5,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,7,2,5,6,8] => [8,6,5,2,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,4,5,7,6,8] => [8,6,7,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,5,7,2,6,8] => [8,6,2,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,5,7,8,2,6] => [6,2,8,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,5,2,6,3,7,8] => [8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,2,6,3,7,8] => [8,7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,6,2,3,7,8] => [8,7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,6,2,3,7,8] => [8,7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,2,6,7,3,8] => [8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,2,6,7,3,8] => [8,3,7,6,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,6,2,7,3,8] => [8,3,7,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,6,2,7,3,8] => [8,3,7,2,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,1,2,7,3,8] => [8,3,7,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,6,7,2,3,8] => [8,3,2,7,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,6,7,2,3,8] => [8,3,2,7,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,1,7,2,3,8] => [8,3,2,7,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,2,7,8,3,6] => [6,3,8,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,1,2,7,8,3,6] => [6,3,8,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,5,7,2,8,3,6] => [6,3,8,2,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,1,7,2,8,3,6] => [6,3,8,2,7,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,7,1,2,8,3,6] => [6,3,8,2,1,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,7,8,1,2,3,6] => [6,3,2,1,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,5,2,7,3,6,8] => [8,6,3,7,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,2,7,3,6,8] => [8,6,3,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,7,2,3,6,8] => [8,6,3,2,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,7,2,3,6,8] => [8,6,3,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,1,2,3,6,8] => [8,6,3,2,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,5,3,7,6,8] => [8,6,7,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,3,7,6,8] => [8,6,7,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,5,7,3,6,8] => [8,6,3,7,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,7,3,6,8] => [8,6,3,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,7,2,3,6,8] => [8,6,3,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,5,7,8,3,6] => [6,3,8,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,5,7,8,3,6] => [6,3,8,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,5,2,7,8,3,6] => [6,3,8,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,5,2,3,6,7,8] => [8,7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,5,3,6,7,8] => [8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,3,6,7,8] => [8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,2,3,6,7,8] => [8,7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,5,6,3,7,8] => [8,7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,6,3,7,8] => [8,7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,2,6,3,7,8] => [8,7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,6,7,3,8] => [8,3,7,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,2,6,7,3,8] => [8,3,7,6,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,6,2,7,3,8] => [8,3,7,2,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,6,7,2,3,8] => [8,3,2,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,2,7,3,5,8] => [8,5,3,7,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,7,3,5,8] => [8,5,3,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,7,2,3,5,8] => [8,5,3,2,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,7,2,3,5,8] => [8,5,3,2,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,1,2,3,5,8] => [8,5,3,2,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,2,3,7,5,8] => [8,5,7,3,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,3,7,5,8] => [8,5,7,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,6,3,7,5,8] => [8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,6,7,3,5,8] => [8,5,3,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,2,7,3,5,8] => [8,5,3,7,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,7,2,3,5,8] => [8,5,3,2,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,2,3,5,7,8] => [8,7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,3,5,7,8] => [8,7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,6,3,5,7,8] => [8,7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,2,3,5,7,8] => [8,7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,3,6,5,7,8] => [8,7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,3,6,5,7,8] => [8,7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,3,5,7,8] => [8,7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,3,6,7,5,8] => [8,5,7,6,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,3,6,7,5,8] => [8,5,7,6,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,3,7,5,8] => [8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,6,7,3,5,8] => [8,5,3,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,8,2,3,5,6] => [6,5,3,2,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,1,8,2,3,5,6] => [6,5,3,2,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,7,2,3,8,5,6] => [6,5,8,3,2,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,1,2,3,8,5,6] => [6,5,8,3,2,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,2,7,3,8,5,6] => [6,5,8,3,7,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,7,3,8,5,6] => [6,5,8,3,7,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,7,8,2,3,5,6] => [6,5,3,2,8,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,2,3,7,8,5,6] => [6,5,8,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,3,7,8,5,6] => [6,5,8,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,4,3,7,8,5,6] => [6,5,8,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,4,7,3,8,5,6] => [6,5,8,3,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,7,2,3,5,6,8] => [8,6,5,3,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,2,3,5,6,8] => [8,6,5,3,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,7,3,5,6,8] => [8,6,5,3,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,7,3,5,6,8] => [8,6,5,3,7,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,3,7,5,6,8] => [8,6,5,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,3,7,5,6,8] => [8,6,5,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,7,3,5,6,8] => [8,6,5,3,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,3,5,7,6,8] => [8,6,7,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,3,5,7,6,8] => [8,6,7,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,5,7,8,3,6] => [6,3,8,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,3,5,6,7,8] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,2,7,8,3,4] => [4,3,8,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,1,2,7,8,3,4] => [4,3,8,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,6,7,2,8,3,4] => [4,3,8,2,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,1,7,2,8,3,4] => [4,3,8,2,7,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,7,1,2,8,3,4] => [4,3,8,2,1,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,6,2,7,3,4,8] => [8,4,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,2,7,3,4,8] => [8,4,3,7,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,7,2,3,4,8] => [8,4,3,2,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,7,2,3,4,8] => [8,4,3,2,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,2,3,7,4,8] => [8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,6,3,7,4,8] => [8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,6,3,7,4,8] => [8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,6,7,3,4,8] => [8,4,3,7,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,7,2,3,4,8] => [8,4,3,2,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,6,7,8,3,4] => [4,3,8,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,2,6,7,8,3,4] => [4,3,8,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,6,2,7,8,3,4] => [4,3,8,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,6,7,2,8,3,4] => [4,3,8,2,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,6,2,3,4,7,8] => [8,7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,6,3,4,7,8] => [8,7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,6,3,4,7,8] => [8,7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,3,6,4,7,8] => [8,7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,3,6,4,7,8] => [8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,3,6,4,7,8] => [8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,3,4,7,8] => [8,7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,3,6,7,4,8] => [8,4,7,6,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,3,6,7,4,8] => [8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,3,7,4,8] => [8,4,7,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,7,3,4,8] => [8,4,3,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,6,7,8,3,4] => [4,3,8,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,7,8,2,3,4,6] => [6,4,3,2,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,1,8,2,3,4,6] => [6,4,3,2,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,1,7,2,3,8,4,6] => [6,4,8,3,2,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,1,2,3,8,4,6] => [6,4,8,3,2,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,2,7,3,8,4,6] => [6,4,8,3,7,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,2,7,3,8,4,6] => [6,4,8,3,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,7,8,2,3,4,6] => [6,4,3,2,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,1,2,3,7,8,4,6] => [6,4,8,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,2,3,7,8,4,6] => [6,4,8,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,5,3,7,8,4,6] => [6,4,8,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,5,7,3,8,4,6] => [6,4,8,3,7,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,1,2,3,4,6,8] => [8,6,4,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,7,3,4,6,8] => [8,6,4,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,7,3,4,6,8] => [8,6,4,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,3,7,4,6,8] => [8,6,4,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,7,3,4,6,8] => [8,6,4,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,3,4,7,6,8] => [8,6,7,4,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,3,4,7,6,8] => [8,6,7,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,3,4,7,6,8] => [8,6,7,4,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,7,4,6,8] => [8,6,4,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,5,7,8,4,6] => [6,4,8,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,2,3,4,6,7,8] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,3,4,6,7,8] => [8,7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,2,3,4,5,8] => [8,5,4,3,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,7,3,4,5,8] => [8,5,4,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,7,3,4,5,8] => [8,5,4,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,2,3,4,5,8] => [8,5,4,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,3,7,4,5,8] => [8,5,4,7,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,3,7,4,5,8] => [8,5,4,7,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,7,3,4,5,8] => [8,5,4,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,3,4,7,5,8] => [8,5,7,4,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,3,4,7,5,8] => [8,5,7,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,3,4,7,5,8] => [8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,6,4,7,5,8] => [8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,6,7,4,5,8] => [8,5,4,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,3,4,5,7,8] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,3,4,5,7,8] => [8,7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,6,4,5,7,8] => [8,7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,8,3,4,5,6] => [6,5,4,3,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,8,3,4,5,6] => [6,5,4,3,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,2,7,8,3,4,5,6] => [6,5,4,3,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,3,4,8,5,6] => [6,5,8,4,3,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,2,3,4,8,5,6] => [6,5,8,4,3,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,3,7,4,8,5,6] => [6,5,8,4,7,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,3,4,7,8,5,6] => [6,5,8,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,2,3,4,5,6,8] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,3,4,5,6,8] => [8,6,5,4,3,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,7,4,5,6,8] => [8,6,5,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,4,7,5,6,8] => [8,6,5,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,4,8,1,6] => [6,1,8,4,5,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,5,2,3,8,1,6] => [6,1,8,3,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,4,3,2,8,1,6] => [6,1,8,2,3,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,4,3,1,8,2,6] => [6,2,8,1,3,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,5,1,3,8,2,6] => [6,2,8,3,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,1,5,4,8,2,6] => [6,2,8,4,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,7,5,4,8,3,6] => [6,3,8,4,5,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,4,3,6,5,1,2] => [2,1,5,6,3,4,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => 2

[5,7,6,8,1,3,2,4] => [4,2,3,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,4,7,2,1,8,3,6] => [6,3,8,1,2,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,2,7,1,8,4,6] => [6,4,8,1,7,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,2,1,7,8,5,6] => [6,5,8,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,8,7,1,2,4,3] => [3,4,2,1,7,8,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => 3

[6,5,8,7,2,1,4,3] => [3,4,1,2,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => 3

[10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1

[3,2,5,1,4,6,7,8] => [8,7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,1,3,6,7,8] => [8,7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,1,3,6,7,8] => [8,7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,1,4,5,7,8] => [8,7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,1,3,4,7,8] => [8,7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,1,2,4,7,8] => [8,7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,1,3,5,7,8] => [8,7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,1,3,4,7,8] => [8,7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,1,2,4,7,8] => [8,7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,1,4,5,6,8] => [8,6,5,4,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,3,4,6,8] => [8,6,4,3,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,1,2,3,6,8] => [8,6,3,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,1,3,4,5,8] => [8,5,4,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,1,2,4,5,8] => [8,5,4,2,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,2,4,6,8] => [8,6,4,2,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,1,2,4,5,8] => [8,5,4,2,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,1,2,3,5,8] => [8,5,3,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,1,3,5,6,7] => [7,6,5,3,1,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,1,3,4,6,7] => [7,6,4,3,1,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,1,2,4,6,7] => [7,6,4,2,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,6,1,2,4,5,7] => [7,5,4,2,1,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,1,2,3,5,7] => [7,5,3,2,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,2,5,7,1,4,6,8] => [8,6,4,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,7,1,3,6,8] => [8,6,3,1,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,7,1,3,6,8] => [8,6,3,1,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,7,1,4,5,8] => [8,5,4,1,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,7,1,2,5,8] => [8,5,2,1,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,7,1,3,4,8] => [8,4,3,1,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,7,1,2,4,8] => [8,4,2,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,7,1,3,5,8] => [8,5,3,1,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,7,1,2,5,8] => [8,5,2,1,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,7,1,3,4,8] => [8,4,3,1,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,7,1,2,4,8] => [8,4,2,1,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,6,1,3,5,8] => [8,5,3,1,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,1,2,5,8] => [8,5,2,1,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,1,2,4,8] => [8,4,2,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,8,1,4,5,6] => [6,5,4,1,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,8,1,2,5,6] => [6,5,2,1,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,7,8,1,2,4,6] => [6,4,2,1,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,7,8,1,2,3,6] => [6,3,2,1,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,4,8,1,3,5,6] => [6,5,3,1,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,4,8,1,2,5,6] => [6,5,2,1,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,5,8,1,3,4,6] => [6,4,3,1,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,5,8,1,2,4,6] => [6,4,2,1,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,5,8,1,2,3,6] => [6,3,2,1,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,4,6,1,3,5,7] => [7,5,3,1,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,6,1,3,4,7] => [7,4,3,1,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,6,1,2,4,7] => [7,4,2,1,6,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,6,2,5,1,4,7,8] => [8,7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,5,1,3,7,8] => [8,7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,5,1,2,7,8] => [8,7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,4,1,3,7,8] => [8,7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,5,1,4,6,8] => [8,6,4,1,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,4,1,3,6,8] => [8,6,3,1,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,6,1,4,5,8] => [8,5,4,1,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,1,2,5,8] => [8,5,2,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,6,1,2,3,8] => [8,3,2,1,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,1,2,4,8] => [8,4,2,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,2,4,1,3,5,6] => [6,5,3,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,5,1,3,4,6] => [6,4,3,1,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,5,1,2,4,6] => [6,4,2,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[4,3,2,6,1,5,7,8] => [8,7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,1,4,7,8] => [8,7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,1,3,7,8] => [8,7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,1,4,7,8] => [8,7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,5,1,3,7,8] => [8,7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,4,1,3,7,8] => [8,7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,7,1,5,6,8] => [8,6,5,1,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,7,1,4,6,8] => [8,6,4,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,1,3,6,8] => [8,6,3,1,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,7,1,2,6,8] => [8,6,2,1,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,1,4,5,8] => [8,5,4,1,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,7,1,3,5,8] => [8,5,3,1,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,7,1,2,5,8] => [8,5,2,1,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,7,1,2,4,8] => [8,4,2,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,1,4,6,8] => [8,6,4,1,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,5,1,3,6,8] => [8,6,3,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,4,1,3,6,8] => [8,6,3,1,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,6,1,4,5,8] => [8,5,4,1,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,6,1,3,5,8] => [8,5,3,1,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,6,1,2,5,8] => [8,5,2,1,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,6,1,3,4,8] => [8,4,3,1,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,1,2,4,8] => [8,4,2,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,5,1,2,4,8] => [8,4,2,1,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,8,1,3,5,6] => [6,5,3,1,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,3,8,1,2,5,6] => [6,5,2,1,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,2,8,1,3,4,6] => [6,4,3,1,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,8,1,2,4,6] => [6,4,2,1,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,4,8,1,2,3,6] => [6,3,2,1,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,2,5,1,4,6,7] => [7,6,4,1,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,5,1,3,6,7] => [7,6,3,1,5,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,4,1,3,6,7] => [7,6,3,1,4,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,6,1,4,5,7] => [7,5,4,1,6,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,6,1,3,5,7] => [7,5,3,1,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,6,1,2,5,7] => [7,5,2,1,6,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,4,1,3,5,7] => [7,5,3,1,4,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,5,7,1,4,6] => [6,4,1,7,5,2,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,4,2,5,7,1,3,6] => [6,3,1,7,5,2,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,4,3,5,7,1,2,6] => [6,2,1,7,5,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,2,4,7,1,3,6] => [6,3,1,7,4,2,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,3,7,2,6,1,5,8] => [8,5,1,6,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,2,6,1,4,8] => [8,4,1,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,2,6,1,3,8] => [8,3,1,6,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,2,5,1,4,8] => [8,4,1,5,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,2,5,1,3,8] => [8,3,1,5,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,3,5,1,2,8] => [8,2,1,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,2,5,1,4,8] => [8,4,1,5,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,4,1,3,8] => [8,3,1,4,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,2,5,1,4,7] => [7,4,1,5,2,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,2,5,1,3,7] => [7,3,1,5,2,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,2,4,1,3,7] => [7,3,1,4,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,3,2,7,1,6,8] => [8,6,1,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,7,1,5,8] => [8,5,1,7,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,2,7,1,4,8] => [8,4,1,7,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,2,7,1,3,8] => [8,3,1,7,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,6,1,5,8] => [8,5,1,6,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,2,6,1,4,8] => [8,4,1,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,2,6,1,3,8] => [8,3,1,6,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,5,1,4,8] => [8,4,1,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,5,1,3,8] => [8,3,1,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,3,2,6,1,4,7] => [7,4,1,6,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,2,5,1,4,7] => [7,4,1,5,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,5,1,3,7] => [7,3,1,5,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,2,7,1,5,6] => [6,5,1,7,2,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,3,2,7,1,4,6] => [6,4,1,7,2,3,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,5,4,8,3,6,1,2] => [2,1,6,3,8,4,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[7,6,5,3,2,8,1,4] => [4,1,8,2,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,5,4,3,2,7,1,6] => [6,1,7,2,3,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,2,3,4,7,5,6] => [6,5,7,4,3,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,2,3,6,4,5,7] => [7,5,4,6,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,3,7,4,5,6] => [6,5,4,7,3,2,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,2,5,3,4,6,7] => [7,6,4,3,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,6,3,4,5,7] => [7,5,4,3,6,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,3,7,4,6] => [6,4,7,3,5,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,2,5,6,3,4,7] => [7,4,3,6,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,7,3,4,6] => [6,4,3,7,5,2,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,4,2,3,5,6,7] => [7,6,5,3,2,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,2,3,7,5,6] => [6,5,7,3,2,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,5,2,3,4,6,7] => [7,6,4,3,2,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,2,3,7,4,6] => [6,4,7,3,2,5,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,4,2,6,3,5,7] => [7,5,3,6,2,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,2,7,3,5,6] => [6,5,3,7,2,4,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,5,2,7,3,4,6] => [6,4,3,7,2,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,4,5,2,3,6,7] => [7,6,3,2,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,4,8,2,3,5,6] => [6,5,3,2,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,4,5,2,7,3,6] => [6,3,7,2,5,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,4,5,7,2,3,6] => [6,3,2,7,5,4,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,1,2,4,7,5,6] => [6,5,7,4,2,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,1,2,6,4,5,7] => [7,5,4,6,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,2,6,3,5,7] => [7,5,3,6,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,2,7,3,5,6] => [6,5,3,7,2,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,1,6,2,4,5,7] => [7,5,4,2,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,1,8,2,4,5,6] => [6,5,4,2,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,1,5,2,7,4,6] => [6,4,7,2,5,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,4,1,5,2,3,6,7] => [7,6,3,2,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,6,2,3,5,7] => [7,5,3,2,6,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,4,1,8,2,3,5,6] => [6,5,3,2,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,1,5,2,7,3,6] => [6,3,7,2,5,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,1,5,6,2,4,7] => [7,4,2,6,5,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,5,7,2,4,6] => [6,4,2,7,5,1,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,4,1,5,6,2,3,7] => [7,3,2,6,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,5,7,2,3,6] => [6,3,2,7,5,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,5,1,2,7,4,6] => [6,4,7,2,1,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,4,1,2,7,3,6] => [6,3,7,2,1,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,4,1,7,2,5,6] => [6,5,2,7,1,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,5,1,6,2,4,7] => [7,4,2,6,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,1,7,2,4,6] => [6,4,2,7,1,5,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,4,1,6,2,3,7] => [7,3,2,6,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,1,7,2,3,6] => [6,3,2,7,1,4,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,7,4,8,1,3,5,6] => [6,5,3,1,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,6,5,1,2,4,7] => [7,4,2,1,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,4,5,1,7,2,6] => [6,2,7,1,5,4,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,4,5,7,1,2,6] => [6,2,1,7,5,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,1,2,3,4,5,8,6,7] => [7,6,8,5,4,3,2,1,9] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],9) => 7

[9,1,2,3,4,7,5,6,8] => [8,6,5,7,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,1,2,5,3,4,6,7,8] => [8,7,6,4,3,5,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,6,1,2,3,7,4,5,8] => [8,5,4,7,3,2,1,6,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,4,1,5,2,3,6,7,8] => [8,7,6,3,2,5,1,4,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[9,3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,5,2,7,4,8,1,6] => [6,1,8,4,7,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,2,7,4,8,6,1] => [1,6,8,4,7,2,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,5,7,2,3,8,6,1] => [1,6,8,3,2,7,5,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,5,7,2,3,8,1,6] => [6,1,8,3,2,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,7,3,2,8,1,6] => [6,1,8,2,3,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,7,3,2,8,6,1] => [1,6,8,2,3,7,5,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,5,7,3,1,8,2,6] => [6,2,8,1,3,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,7,1,3,8,2,6] => [6,2,8,3,1,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,1,7,4,8,2,6] => [6,2,8,4,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,5,7,4,8,3,6] => [6,3,8,4,7,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,7,8,1,3,2,4] => [4,2,3,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[4,5,7,2,1,8,3,6] => [6,3,8,1,2,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,2,7,1,8,4,6] => [6,4,8,1,7,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,2,1,7,8,5,6] => [6,5,8,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,8,7,3,4,1,2] => [2,1,4,3,7,8,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 2

[3,6,7,4,5,8,1,2] => [2,1,8,5,4,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[1,6,7,4,5,2,3,8] => [8,3,2,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,7,6,2,3,8] => [8,3,2,6,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,7,6,8,1,2] => [2,1,8,6,7,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,8,1,4,5,2,3,6] => [6,3,2,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,1,3,2,5,4,6] => [6,4,5,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,5,3,7,2,6,4,8] => [8,4,6,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,3,2,5,4,8] => [8,4,5,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,6,2,1,4,3] => [3,4,1,2,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) => 3

[7,3,1,5,2,8,4,6] => [6,4,8,2,5,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,5,1,2,7,3,6] => [6,3,7,2,1,5,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,4,5,1,2,8,3,6] => [6,3,8,2,1,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,4,1,2,8,3,6] => [6,3,8,2,1,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,4,1,2,8,3,6] => [6,3,8,2,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,5,1,2,8,3,6] => [6,3,8,2,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,1,5,2,8,4,6] => [6,4,8,2,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,1,7,5,3,8,4,6] => [6,4,8,3,5,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,6,8,1,2,3,4] => [4,3,2,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,4,7,1,2,8,3,6] => [6,3,8,2,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,1,7,2,8,4,6] => [6,4,8,2,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,1,2,7,8,5,6] => [6,5,8,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,7,3,5,8,1,2] => [2,1,8,5,3,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,2,7,6,1,3,8] => [8,3,1,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,7,6,8,1,2] => [2,1,8,6,7,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,2,6,7,1,3,8] => [8,3,1,7,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,1,7,4,8] => [8,4,7,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,4,2,5,1,3,6] => [6,3,1,5,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,2,1,5,4,6] => [6,4,5,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,3,2,7,1,6,4,8] => [8,4,6,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,2,1,5,4,8] => [8,4,5,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,2,1,4,5,8] => [8,5,4,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,1,7,5,6,8] => [8,6,5,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,6,1,2,4,3] => [3,4,2,1,6,5,8,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) => 3

[7,8,3,4,6,5,1,2] => [2,1,5,6,4,3,8,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => 2

[6,5,8,7,1,2,4,3] => [3,4,2,1,7,8,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => 3

[5,6,8,7,3,4,1,2] => [2,1,4,3,7,8,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 2

[5,6,8,7,2,1,4,3] => [3,4,1,2,7,8,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => 3

[8,1,3,2,5,4,7,6] => [6,7,4,5,2,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,4,2,5,3,7,6] => [6,7,3,5,2,4,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,5,1,4,3,7,6] => [6,7,3,4,1,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,6,1,4,3,7,5] => [5,7,3,4,1,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,2,6,1,5,3,7,4] => [4,7,3,5,1,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,5,2,6,3,7,4] => [4,7,3,6,2,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,4,2,6,3,7,5] => [5,7,3,6,2,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,3,2,6,4,7,5] => [5,7,4,6,2,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[5,7,3,8,2,4,1,6] => [6,1,4,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,5,3,1,8,2,6] => [6,2,8,1,3,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,7,8,1,4,2,6] => [6,2,4,1,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,1,5,2,8,3,6] => [6,3,8,2,5,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,2,5,1,8,3,6] => [6,3,8,1,5,2,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,3,8,2,1,4,6] => [6,4,1,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,4,7,8,2,1,5,6] => [6,5,1,2,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,1,3,4,2,5,7] => [7,5,2,4,3,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,5,1,6,4,7] => [7,4,6,1,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,6,2,4,1,7] => [7,1,4,2,6,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,5,6,3,1,7] => [7,1,3,6,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,5,6,1,3,7] => [7,3,1,6,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,4,5,6,3,7] => [7,3,6,5,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,1,3,6,4,7] => [7,4,6,3,1,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,2,1,4,3,7] => [7,3,4,1,2,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,6,4,1,2,7] => [7,2,1,4,6,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,5,6,3,2,7] => [7,2,3,6,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,5,6,3,2,7] => [7,2,3,6,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,3,6,7,2,8,5,1] => [1,5,8,2,7,6,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,5,3,7,1,8,2,6] => [6,2,8,1,7,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,5,8,3,6,1,2] => [2,1,6,3,8,5,4,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[1,5,3,6,7,8,2,4] => [4,2,8,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,7,1,3,8,4,6] => [6,4,8,3,1,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,6,2,7,4,8,5,1] => [1,5,8,4,7,2,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,5,2,3,7,6,1,8] => [8,1,6,7,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,7,2,5,1,8] => [8,1,5,2,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,6,5,1,2,7] => [7,2,1,5,6,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,6,2,7,3,5,1,8] => [8,1,5,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,7,4,5,1,8] => [8,1,5,4,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,6,5,3,1,8] => [8,1,3,5,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,4,3,1,8] => [8,1,3,4,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,8,1,3,5,6] => [6,5,3,1,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,1,2,7,3,6,8] => [8,6,3,7,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,7,2,3,5,8] => [8,5,3,2,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,2,3,5,8] => [8,5,3,2,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,6,2,4,5,8] => [8,5,4,2,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,6,2,3,5,8] => [8,5,3,2,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,1,2,3,4,8] => [8,4,3,2,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,3,7,6,8,1] => [1,8,6,7,3,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,2,7,5,8,1] => [1,8,5,7,2,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,6,4,7,2,8,1] => [1,8,2,7,4,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,6,2,7,4,8,1] => [1,8,4,7,2,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,6,3,7,4,8,1] => [1,8,4,7,3,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,6,3,7,5,8,1] => [1,8,5,7,3,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,6,4,7,5,8,1] => [1,8,5,7,4,6,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,6,5,7,3,8,1] => [1,8,3,7,5,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,6,4,7,3,8,1] => [1,8,3,7,4,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,2,7,3,8,1] => [1,8,3,7,2,6,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,5,2,1,6,4,7] => [7,4,6,1,2,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,5,2,4,1,7] => [7,1,4,2,5,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,6,5,3,1,7] => [7,1,3,5,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,4,6,1,3,7] => [7,3,1,6,4,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,5,1,4,2,7] => [7,2,4,1,5,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,1,4,5,3,2,7] => [7,2,3,5,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,6,4,3,2,7] => [7,2,3,4,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,7,3,1,8,2,6] => [6,2,8,1,3,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,3,5,6,8,2,4] => [4,2,8,6,5,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,3,6,7,5,8,2,4] => [4,2,8,5,7,6,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,3,5,7,6,8,1,4] => [4,1,8,6,7,5,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,6,5,7,8,3,4] => [4,3,8,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,3,7,2,1,8,4,6] => [6,4,8,1,2,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,1,2,5,6,7,4] => [4,7,6,5,2,1,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,2,3,5,6,7,4] => [4,7,6,5,3,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,1,7,8,5,4,3,6] => [6,3,4,5,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,3,8,1,4,2,6] => [6,2,4,1,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,6,3,8,4,2,7,1] => [1,7,2,4,8,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,6,3,1,4,2,7,5] => [5,7,2,4,1,3,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,5,3,8,2,4,1,6] => [6,1,4,2,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,6,2,8,1,4] => [4,1,8,2,6,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,6,3,5,1,2,7,4] => [4,7,2,1,5,3,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[4,5,3,8,6,2,7,1] => [1,7,2,6,8,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,7,3,6,1,8,2,4] => [4,2,8,1,6,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,7,6,5,8,3,4] => [4,3,8,5,6,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,2,8,5,6,7,1] => [1,7,6,5,8,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,6,3,5,8,2,7,1] => [1,7,2,8,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,5,4,3,1,8,2,6] => [6,2,8,1,3,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,5,8,4,1,3,6] => [6,3,1,4,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,2,7,4,1,8,3,6] => [6,3,8,1,4,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,7,8,2,1,5,6] => [6,5,1,2,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,2,3,7,6,1,8] => [8,1,6,7,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,7,3,5,1,8] => [8,1,5,3,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,6,3,5,1,8] => [8,1,5,3,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,6,3,1,5,7] => [7,5,1,3,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,2,7,6,4,5,1,8] => [8,1,5,4,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,6,3,5,1,8] => [8,1,5,3,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,3,4,1,8] => [8,1,4,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,1,7,3,5,6] => [6,5,3,7,1,2,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,1,2,7,3,4,6] => [6,4,3,7,2,1,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[6,5,2,7,1,8,3,4] => [4,3,8,1,7,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,7,8,5,2,1,6] => [6,1,2,5,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,4,6,3,7,5,8,1] => [1,8,5,7,3,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,2,6,8,5,1] => [1,5,8,6,2,7,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,3,6,1,4,2,7,5] => [5,7,2,4,1,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,3,5,8,2,4,1,6] => [6,1,4,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,2,6,8,1,4] => [4,1,8,6,2,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,7,2,3,4,8,5,1] => [1,5,8,4,3,2,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,6,3,7,4,8,1,2] => [2,1,8,4,7,3,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,1,6,3,2,5,4,7] => [7,4,5,2,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,1,7,5,3,6] => [6,3,5,7,1,2,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,6,2,5,8,3,7,1] => [1,7,3,8,5,2,6,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,5,2,6,3,8,1,4] => [4,1,8,3,6,2,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,2,8,1,5,3,6] => [6,3,5,1,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,3,8,2,5,1,6] => [6,1,5,2,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,7,6,1,4,2,8] => [8,2,4,1,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,4,1,6,8] => [8,6,1,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,4,6,1,8] => [8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,7,3,1,4,8] => [8,4,1,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,4,6,8,1] => [1,8,6,4,2,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,2,6,3,1,7,8] => [8,7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,7,3,4,8,1] => [1,8,4,3,7,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,1,2,3,7,6,5,8] => [8,5,6,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,8,3,4,1,6] => [6,1,4,3,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,2,7,3,4,1,8] => [8,1,4,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,7,4,3,2,8] => [8,2,3,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,5,7,3,2,8] => [8,2,3,7,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,6,3,7,1,8] => [8,1,7,3,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,7,3,8,1,6] => [6,1,8,3,7,2,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,6,2,4,8,7,1] => [1,7,8,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,5,2,7,3,8,6,1] => [1,6,8,3,7,2,5,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,5,2,6,3,7,8,1] => [1,8,7,3,6,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,8,4,2,1,5,3,6] => [6,3,5,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,4,1,2,5,7,3,8] => [8,3,7,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,4,7,2,5,8] => [8,5,2,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,3,5,4,2,1,6] => [6,1,2,4,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,1,5,3,4,6] => [6,4,3,5,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,3,6,2,7,4,1,8] => [8,1,4,7,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,7,5,8,1,2] => [2,1,8,5,7,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,4,7,1,5,3,6,8] => [8,6,3,5,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,4,7,3,5,8] => [8,5,3,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,5,2,1,3,8] => [8,3,1,2,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,4,3,8,1,2] => [2,1,8,3,4,6,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,7,2,4,1,6,3,8] => [8,3,6,1,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,2,6,5,3,8] => [8,3,5,6,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,5,6,8,1,2] => [2,1,8,6,5,7,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,1,6,4,2,5,8] => [8,5,2,4,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,7,6,5,3,4,8] => [8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,1,8,2,4] => [4,2,8,1,6,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,4,2,3,8,1,6] => [6,1,8,3,2,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,2,6,1,8,3,4] => [4,3,8,1,6,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,7,1,4,8,2,6] => [6,2,8,4,1,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,7,2,4,8,1,6] => [6,1,8,4,2,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,3,7,1,8,2,4] => [4,2,8,1,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,1,2,7,8,3,4] => [4,3,8,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,3,6,4,7,8,1,2] => [2,1,8,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,6,3,1,2,5,7,4] => [4,7,5,2,1,3,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,6,4,5,7,2,8,1] => [1,8,2,7,5,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,7,4,6,8,1] => [1,8,6,4,7,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,3,6,2,4,8,1] => [1,8,4,2,6,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,6,3,4,5,8,1] => [1,8,5,4,3,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,7,3,4,5,8,1] => [1,8,5,4,3,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,2,7,4,5,8,1] => [1,8,5,4,7,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,5,7,3,6,8,1] => [1,8,6,3,7,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,6,2,3,8,1] => [1,8,3,2,6,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,3,5,2,4,8,1] => [1,8,4,2,5,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,6,2,4,5,8,1] => [1,8,5,4,2,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,6,3,4,5,8,1] => [1,8,5,4,3,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,5,2,1,7,3,4,6] => [6,4,3,7,1,2,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,8,5,2,3,6,1,4] => [4,1,6,3,2,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[4,2,5,7,1,8,3,6] => [6,3,8,1,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,5,3,7,2,4,6] => [6,4,2,7,3,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,5,3,6,2,4,7] => [7,4,2,6,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,5,1,3,6,2,4,8] => [8,4,2,6,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,3,2,6,5,8] => [8,5,6,2,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,4,3,2,6,5,7] => [7,5,6,2,3,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,3,2,7,5,6] => [6,5,7,2,3,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,4,3,2,7,6,5] => [5,6,7,2,3,4,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,5,3,6,2,7,4] => [4,7,2,6,3,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,4,3,2,6,7,5] => [5,7,6,2,3,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,4,3,2,5,7,6] => [6,7,5,2,3,4,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,4,3,2,5,6,7] => [7,6,5,2,3,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,4,1,3,2,5,6,8] => [8,6,5,2,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,8,2,5,7,1] => [1,7,5,2,8,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,7,2,5,8,1] => [1,8,5,2,7,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,1,2,7,5,8] => [8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,1,7,2,4,8] => [8,4,2,7,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,7,2,8,5,1] => [1,5,8,2,7,3,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,4,3,7,2,1,5,8] => [8,5,1,2,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,2,7,8,1,6] => [6,1,8,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,7,8,2,1,4,6] => [6,4,1,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,6,1,2,5,8,3,4] => [4,3,8,5,2,1,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,7,8,4,3,5,6] => [6,5,3,4,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,4,3,5,6,8] => [8,6,5,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,4,3,5,7,8] => [8,7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,4,3,6,7,8] => [8,7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,5,3,4,7,8] => [8,7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,3,4,6,8] => [8,6,4,3,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,6,3,4,5,8] => [8,5,4,3,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,8,3,5,4,6] => [6,4,5,3,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,2,3,7,4,6,5,8] => [8,5,6,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,7,4,6,5,8] => [8,5,6,4,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,7,3,6,5,8] => [8,5,6,3,7,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,7,3,6,4,8] => [8,4,6,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,7,3,5,4,8] => [8,4,5,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,6,3,5,4,8] => [8,4,5,3,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,3,6,4,8] => [8,4,6,3,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,5,3,7,4,8] => [8,4,7,3,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,4,3,7,6,8] => [8,6,7,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,4,3,7,5,8] => [8,5,7,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,4,3,6,5,8] => [8,5,6,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,3,4,6,5,8] => [8,5,6,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,4,3,8,5,6] => [6,5,8,3,4,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,2,5,3,8,4,6] => [6,4,8,3,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,6,3,7,2,5,1,8] => [8,1,5,2,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,7,5,2,1,8] => [8,1,2,5,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,7,5,3,1,8] => [8,1,3,5,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,2,4,3,1,8] => [8,1,3,4,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,8,1,5,2,6] => [6,2,5,1,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,3,8,1,2,5,6] => [6,5,2,1,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,2,7,8,1,5,4,6] => [6,4,5,1,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,3,7,5,2,6,4,8] => [8,4,6,2,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,5,4,2,6,8] => [8,6,2,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,7,5,2,4,8] => [8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,6,4,8,7,1] => [1,7,8,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[1,6,5,7,3,4,2,8] => [8,2,4,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,7,4,6,3,8] => [8,3,6,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,6,2,7,3,8] => [8,3,7,2,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,7,1,8,3,6] => [6,3,8,1,7,4,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,4,1,7,8,5,6] => [6,5,8,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,1,4,3,6,5,8] => [8,5,6,3,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,1,2,6,5,8] => [8,5,6,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,1,6,5,8] => [8,5,6,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,5,4,1,8] => [8,1,4,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,2,5,4,8,1] => [1,8,4,5,2,3,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,5,1,6,2,4,8] => [8,4,2,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,5,6,3,4,8] => [8,4,3,6,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,6,5,4,3,8] => [8,3,4,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,1,5,4,2,8] => [8,2,4,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,5,1,3,2,8] => [8,2,3,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,1,7,8,2,4] => [4,2,8,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,1,6,7,8,3,4] => [4,3,8,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,3,2,7,8,1,4] => [4,1,8,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,6,1,5,8,3,4] => [4,3,8,5,1,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,7,1,5,8,2,4] => [4,2,8,5,1,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,7,6,2,5,8,3,4] => [4,3,8,5,2,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,6,2,1,5,8,3,4] => [4,3,8,5,1,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,7,1,3,5,8,2,4] => [4,2,8,5,3,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[10,6,7,4,5,8,1,2,3,9] => [9,3,2,1,8,5,4,7,6,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[10,6,7,3,4,8,1,2,5,9] => [9,5,2,1,8,4,3,7,6,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[8,1,2,4,3,6,5,7] => [7,5,6,3,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,3,5,6,2,7,4] => [4,7,2,6,5,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,3,4,2,6,7,5] => [5,7,6,2,4,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,3,2,4,5,7,6] => [6,7,5,4,2,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[2,6,3,8,4,5,7,1] => [1,7,5,4,8,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,7,4,5,8,1] => [1,8,5,4,7,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,1,2,3,8,5,6] => [6,5,8,3,2,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,2,4,1,3,7,5,8] => [8,5,7,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,1,7,3,4,8] => [8,4,3,7,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,7,3,8,5,1] => [1,5,8,3,7,6,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,2,6,7,3,1,5,8] => [8,5,1,3,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,3,7,1,6,8] => [8,6,1,7,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,7,8,1,6] => [6,1,8,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,5,4,2,1,7,3,6] => [6,3,7,1,2,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,2,5,1,7,4,6] => [6,4,7,1,5,2,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,4,3,1,7,2,6] => [6,2,7,1,3,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,4,1,3,7,2,6] => [6,2,7,3,1,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,1,5,4,7,2,6] => [6,2,7,4,5,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,4,2,3,7,1,6] => [6,1,7,3,2,4,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,2,5,4,7,1,6] => [6,1,7,4,5,2,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[1,6,5,2,7,4,3,8] => [8,3,4,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,2,7,5,3,8] => [8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,2,7,6,4,8] => [8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,5,7,8,3,4] => [4,3,8,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,2,5,7,3,4,8] => [8,4,3,7,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,4,7,3,5,8] => [8,5,3,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,6,2,3,1,7,4] => [4,7,1,3,2,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,6,1,4,7,2,5,8] => [8,5,2,7,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,5,7,3,8] => [8,3,7,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,4,3,2,7,8] => [8,7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,2,4,1,8] => [8,1,4,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,6,1,4,3,8] => [8,3,4,1,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,8,5,3,4,6] => [6,4,3,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,4,7,1,5,2,6,8] => [8,6,2,5,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,4,1,2,7,8] => [8,7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,6,3,8,1,4] => [4,1,8,3,6,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,2,7,3,1,4,8] => [8,4,1,3,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,5,2,8,3,4] => [4,3,8,2,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,7,5,2,4,8,3,6] => [6,3,8,4,2,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,2,4,3,1,6,8] => [8,6,1,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,1,2,5,3,8] => [8,3,5,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,2,5,3,6,8] => [8,6,3,5,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,2,5,7,3,8] => [8,3,7,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,7,5,4,2,8] => [8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,5,6,4,2,8] => [8,2,4,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,6,4,5,2,8] => [8,2,5,4,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,6,5,1,3,8] => [8,3,1,5,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,1,5,3,6,8] => [8,6,3,5,1,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,5,4,1,6,8] => [8,6,1,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,1,5,7,3,8] => [8,3,7,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,5,7,1,4,8] => [8,4,1,7,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,6,8,4,7,1] => [1,7,4,8,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,5,7,4,1,6,2,8] => [8,2,6,1,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,2,7,6,3,8] => [8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,7,5,1,4,8] => [8,4,1,5,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,1,7,3,5,8] => [8,5,3,7,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,1,2,7,5,8] => [8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,1,7,6,2,8] => [8,2,6,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,7,5,6,2,8] => [8,2,6,5,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,8,5,2,7,1] => [1,7,2,5,8,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,5,6,2,8,4,7,1] => [1,7,4,8,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,4,1,7,5,2,3,8] => [8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,7,5,2,4,8] => [8,4,2,5,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,7,5,8,1,4] => [4,1,8,5,7,3,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,7,3,6,8,1,4] => [4,1,8,6,3,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,2,3,5,1,6,7,4] => [4,7,6,1,5,3,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,4,1,3,6,2,5,7] => [7,5,2,6,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,7,4,1,6,2,3,8] => [8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,4,1,2,6,3,7] => [7,3,6,2,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,5,1,2,6,3,7] => [7,3,6,2,1,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,6,3,7,1,2,4,8] => [8,4,2,1,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,4,6,2,5,7] => [7,5,2,6,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,6,2,3,7,8,1,4] => [4,1,8,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,3,4,6,5,1,2,7] => [7,2,1,5,6,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,6,1,5,3,7] => [7,3,5,1,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,6,2,5,3,7] => [7,3,5,2,6,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,3,2,6,5,4,7] => [7,4,5,6,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,1,6,5,4,7] => [7,4,5,6,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,6,5,4,7] => [7,4,5,6,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,6,1,5,3,7] => [7,3,5,1,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,6,1,2,4,3,7] => [7,3,4,2,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,6,2,5,3,7] => [7,3,5,2,6,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,2,6,5,4,7] => [7,4,5,6,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,1,3,6,5,4,7] => [7,4,5,6,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,3,6,5,4,7] => [7,4,5,6,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,5,4,2,8,3,6] => [6,3,8,2,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,7,5,2,8,3,6] => [6,3,8,2,5,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,3,5,2,8,4,6] => [6,4,8,2,5,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,7,4,2,8,3,6] => [6,3,8,2,4,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,1,6,2,4,7,5] => [5,7,4,2,6,1,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,5,4,2,7,3,6] => [6,3,7,2,4,5,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,3,1,7,2,4,6] => [6,4,2,7,1,3,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[5,7,1,6,2,4,3,8] => [8,3,4,2,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,5,2,7,3,8] => [8,3,7,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,5,2,6,3,8] => [8,3,6,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,7,2,1,4,8] => [8,4,1,2,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,5,2,6,3,7] => [7,3,6,2,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,6,2,1,4,7] => [7,4,1,2,6,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,5,6,2,8,1,4] => [4,1,8,2,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,5,6,2,1,4,8] => [8,4,1,2,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,1,3,4,8] => [8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,1,4,3,5,8] => [8,5,3,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,2,8,4,6] => [6,4,8,2,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,1,5,2,3,7,6] => [6,7,3,2,5,1,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[1,7,6,5,4,2,3,8] => [8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,6,4,5,8] => [8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,7,6,2,5,8] => [8,5,2,6,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,3,6,2,4,8] => [8,4,2,6,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,5,3,2,4,8] => [8,4,2,3,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,5,2,4,3,8] => [8,3,4,2,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,5,2,3,7,4] => [4,7,3,2,5,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[1,2,7,6,3,4,5,8] => [8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,1,5,2,7,8] => [8,7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,2,6,5,8] => [8,5,6,2,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,1,2,5,7,6] => [6,7,5,2,1,3,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[1,5,4,2,3,6,7,8] => [8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,4,2,3,7,6] => [6,7,3,2,4,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,5,1,4,2,6,3,8] => [8,3,6,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,4,3,2,7,8] => [8,7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,3,4,2,7,8] => [8,7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,5,3,7,8] => [8,7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,1,5,4,7,8] => [8,7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,1,4,6,5,8] => [8,5,6,4,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,1,3,6,5,8] => [8,5,6,3,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,3,2,6,4,8] => [8,4,6,2,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,2,4,5,3,8] => [8,3,5,4,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,2,5,4,3,8] => [8,3,4,5,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,1,2,5,3,7,4] => [4,7,3,5,2,1,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[1,7,2,3,6,4,5,8] => [8,5,4,6,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,5,6,7,8] => [8,7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,4,3,6,7,8] => [8,7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,3,5,4,7,8] => [8,7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,3,4,6,5,8] => [8,5,6,4,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,3,4,5,7,6] => [6,7,5,4,3,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,5,6,2,7,4,8,1] => [1,8,4,7,2,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,4,5,1,6,3,7] => [7,3,6,1,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,5,6,3,4,7,8,1] => [1,8,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,3,2,5,4,6,7] => [7,6,4,5,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,1,5,6,4,7] => [7,4,6,5,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,7,2,6,4,8,1] => [1,8,4,6,2,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,7,3,4,6,8,1] => [1,8,6,4,3,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,1,3,4,6,5,7] => [7,5,6,4,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,7,1,6,8,2,4] => [4,2,8,6,1,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,7,5,2,8,1,4] => [4,1,8,2,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,7,4,2,8,5,1] => [1,5,8,2,4,7,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,3,6,1,2,5,7,4] => [4,7,5,2,1,6,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,4,2,7,3,6,8,1] => [1,8,6,3,7,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,3,6,4,2,8,1] => [1,8,2,4,6,3,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,5,2,6,4,7,3,1] => [1,3,7,4,6,2,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[8,2,6,3,4,7,5,1] => [1,5,7,4,3,6,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,2,6,3,5,4,8,1] => [1,8,4,5,3,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,7,4,3,5,8,1] => [1,8,5,3,4,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,3,6,4,2,8,1] => [1,8,2,4,6,3,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,6,4,5,2,8,1] => [1,8,2,5,4,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,6,5,3,4,8,1] => [1,8,4,3,5,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,5,4,2,7,3,1] => [1,3,7,2,4,5,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[5,7,4,2,1,8,3,6] => [6,3,8,1,2,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,3,8,4,5,2,6] => [6,2,5,4,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,8,5,3,4,6] => [6,4,3,5,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,8,3,5,4,6] => [6,4,5,3,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,2,7,1,8,3,6] => [6,3,8,1,7,2,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,8,7,6,4,5,2,1] => [1,2,5,4,6,7,8,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8) => 1

[2,8,7,6,5,3,4,1] => [1,4,3,5,6,7,8,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8) => 1

[1,8,7,6,5,4,2,3] => [3,2,4,5,6,7,8,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8) => 3

[3,7,4,8,5,6,1,2] => [2,1,6,5,8,4,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[4,7,3,8,5,6,1,2] => [2,1,6,5,8,3,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[7,8,1,5,2,6,3,4] => [4,3,6,2,5,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[7,8,2,5,1,6,3,4] => [4,3,6,1,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[3,2,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[5,7,4,6,2,3,1,8] => [8,1,3,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,6,3,8,1,2] => [2,1,8,3,6,4,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,7,4,8,3,6,1,2] => [2,1,6,3,8,4,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[5,6,3,7,2,4,1,8] => [8,1,4,2,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,7,2,8,1,4] => [4,1,8,2,7,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,6,3,5,2,7,1,8] => [8,1,7,2,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,3,5,2,4,1,6] => [6,1,4,2,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,3,5,2,6,1,4] => [4,1,6,2,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[4,7,3,6,2,5,1,8] => [8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,6,2,8,1,4] => [4,1,8,2,6,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,6,2,4,1,8] => [8,1,4,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,2,4,1,8] => [8,1,4,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,2,8,1,4] => [4,1,8,2,5,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,4,2,6,1,8] => [8,1,6,2,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,4,2,8,1,6] => [6,1,8,2,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,4,8,2,3,1,6] => [6,1,3,2,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,3,8,2,5,1,6] => [6,1,5,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,3,5,2,8,1,6] => [6,1,8,2,5,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,3,5,2,6,1,8] => [8,1,6,2,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,2,6,1,8] => [8,1,6,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,2,8,1,6] => [6,1,8,2,7,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,5,2,1,8,3,6] => [6,3,8,1,2,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,7,1,3,8,2,6] => [6,2,8,3,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,6,2,5,4,7,3,8] => [8,3,7,4,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,4,5,6,3,8] => [8,3,6,5,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,1,4,3,7,6] => [6,7,3,4,1,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[1,2,6,3,5,4,7,8] => [8,7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,1,5,2,4,7,6] => [6,7,4,2,5,1,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[1,7,5,6,3,2,4,8] => [8,4,2,3,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,3,2,4,6,8] => [8,6,4,2,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,3,1,8,4,6] => [6,4,8,1,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,1,3,7,8,5,6] => [6,5,8,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1

[8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9) => 1

[8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9) => 1

[8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10) => 1

[7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9) => 1

[8,7,6,5,4,2,3,9,1] => [1,9,3,2,4,5,6,7,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[1,6,2,4,7,5,3,8] => [8,3,5,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,8,5,2,4,6] => [6,4,2,5,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,5,1,7,3,4,6] => [6,4,3,7,1,5,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,8,2,1,4,3,5,6] => [6,5,3,4,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,2,6,4,3,1,7,5] => [5,7,1,3,4,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[1,7,4,2,3,5,6,8] => [8,6,5,3,2,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,1,2,6,4,8] => [8,4,6,2,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,4,2,6,3,8] => [8,3,6,2,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,6,7,2,4,8] => [8,4,2,7,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,4,2,7,5,8] => [8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,3,2,4,1,7,5] => [5,7,1,4,2,3,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,1,4,3,2,5,7] => [7,5,2,3,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,6,5,2,4,7] => [7,4,2,5,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,4,6,5,3,7] => [7,3,5,6,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,4,6,3,7] => [7,3,6,4,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,6,5,1,3,4,7] => [7,4,3,1,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,6,2,5,4,7] => [7,4,5,2,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,6,4,5,3,7] => [7,3,5,4,6,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,6,4,3,7] => [7,3,4,6,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,6,5,4,3,7] => [7,3,4,5,6,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,7,5,4,2,8,3,6] => [6,3,8,2,4,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,4,7,2,8,3,6] => [6,3,8,2,7,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,4,5,2,8,3,6] => [6,3,8,2,5,4,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,5,1,2,8,4,6] => [6,4,8,2,1,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,2,8,1,3,4,6] => [6,4,3,1,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,1,4,2,7,8,3,6] => [6,3,8,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[10,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[11,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[2,6,4,8,3,5,7,1] => [1,7,5,3,8,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,6,4,7,3,5,8,1] => [1,8,5,3,7,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,7,2,5,1,8] => [8,1,5,2,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,7,2,1,5,8] => [8,5,1,2,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,7,2,1,4,8] => [8,4,1,2,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,2,1,6,5,7] => [7,5,6,1,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,4,3,2,1,7,5,8] => [8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,2,7,1,6,8] => [8,6,1,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,2,1,8,5,6] => [6,5,8,1,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,3,2,1,7,5,6] => [6,5,7,1,2,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,4,3,2,1,7,6,5] => [5,6,7,1,2,3,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,5,3,2,6,1,7,4] => [4,7,1,6,2,3,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,6,4,7,3,8,5,1] => [1,5,8,3,7,4,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,5,4,2,7,8,1,6] => [6,1,8,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,3,2,1,6,7,5] => [5,7,6,1,2,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,4,3,2,1,5,7,6] => [6,7,5,1,2,3,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,5,2,4,1,7,6,8] => [8,6,7,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,5,7,3,6,8] => [8,6,3,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,3,7,1,6,8] => [8,6,1,7,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,5,2,1,6,8] => [8,6,1,2,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,7,5,1,6,8] => [8,6,1,5,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,2,5,1,7,8] => [8,7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,2,5,1,7,8] => [8,7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,1,3,2,5,8] => [8,5,2,3,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,7,3,2,6,8] => [8,6,2,3,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,3,7,2,6,8] => [8,6,2,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,4,2,7,6,8] => [8,6,7,2,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,4,2,7,6,8] => [8,6,7,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,7,2,6,8] => [8,6,2,7,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,7,5,2,6,8] => [8,6,2,5,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,1,5,2,7,8] => [8,7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,1,5,2,7,8] => [8,7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,4,1,2,7,8] => [8,7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,1,7,2,5,8] => [8,5,2,7,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,1,2,7,5,8] => [8,5,7,2,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,1,2,7,5,8] => [8,5,7,2,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,1,7,2,5,8] => [8,5,2,7,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,2,1,4,7,8] => [8,7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,7,1,3,4,8] => [8,4,3,1,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,7,3,1,6,8] => [8,6,1,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,2,3,1,5,8] => [8,5,1,3,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,7,3,5,8] => [8,5,3,7,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,1,4,7,5,8] => [8,5,7,4,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,1,4,7,5,8] => [8,5,7,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,2,4,5,1,8] => [8,1,5,4,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,7,4,6,1,8] => [8,1,6,4,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,1,5,7,4,8] => [8,4,7,5,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,1,5,7,4,8] => [8,4,7,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,1,5,7,4,8] => [8,4,7,5,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,1,5,3,7,8] => [8,7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,1,5,3,7,8] => [8,7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,7,5,3,6,8] => [8,6,3,5,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,5,6,2,3,8] => [8,3,2,6,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,5,2,6,4,8] => [8,4,6,2,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,1,2,7,4,8] => [8,4,7,2,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,1,7,2,3,8] => [8,3,2,7,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,4,1,3,7,8] => [8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,1,7,2,3,8] => [8,3,2,7,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,1,2,7,4,8] => [8,4,7,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,1,4,7,2,8] => [8,2,7,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,2,1,7,5,8] => [8,5,7,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,2,7,1,4,8] => [8,4,1,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,2,7,8,1,4] => [4,1,8,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,6,2,7,4,1,8] => [8,1,4,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,6,7,4,3,8] => [8,3,4,7,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,1,7,4,2,8] => [8,2,4,7,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,7,1,3,2,8] => [8,2,3,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,1,7,3,8] => [8,3,7,1,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,7,3,2,4,8] => [8,4,2,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,5,6,8,2,4] => [4,2,8,6,5,1,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,3,2,4,6,1,5,7] => [7,5,1,6,4,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,2,4,6,1,5,8] => [8,5,1,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,1,7,4,6,8] => [8,6,4,7,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,1,7,8,4,6] => [6,4,8,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,5,1,6,4,7,8] => [8,7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,1,7,5,6,8] => [8,6,5,7,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,1,6,7,4,8] => [8,4,7,6,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,7,4,2,3,8] => [8,3,2,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,3,7,5,1,6] => [6,1,5,7,3,2,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,1,6,4,2,3,7] => [7,3,2,4,6,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,5,1,6,4,2,3,8] => [8,3,2,4,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,1,7,6,4,8] => [8,4,6,7,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,1,7,5,3,8] => [8,3,5,7,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,4,1,6,3,8] => [8,3,6,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,1,7,3,8] => [8,3,7,1,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,6,7,1,5,8] => [8,5,1,7,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,1,6,4,8] => [8,4,6,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,1,5,4,8] => [8,4,5,1,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,1,4,7,5,8] => [8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,7,4,6,8] => [8,6,4,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,7,8,4,6] => [6,4,8,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,7,2,1,5,6,8] => [8,6,5,1,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6)],9) => 2

[1,10,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,10,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(5,4),(6,3),(6,4),(7,3),(7,5),(8,5),(8,6),(9,6),(9,7)],10) => 2

[8,4,5,2,3,1,7,6] => [6,7,1,3,2,5,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,5,3,4,1,7,6] => [6,7,1,4,3,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,3,5,2,4,1,7,6] => [6,7,1,4,2,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,3,5,1,4,2,7,6] => [6,7,2,4,1,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,5,3,4,2,7,6] => [6,7,2,4,3,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,5,1,3,2,7,6] => [6,7,2,3,1,5,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,5,2,4,3,7,6] => [6,7,3,4,2,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,3,1,5,4,7,6] => [6,7,4,5,1,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,6,2,8,4,5,7,1] => [1,7,5,4,8,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,8,4,5,7,1] => [1,7,5,4,8,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,1,5,3,2,4,6,7] => [7,6,4,2,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,2,7,4,8,3,6] => [6,3,8,4,7,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,5,1,4,7,2,6] => [6,2,7,4,1,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,1,2,8,5,3,4,6] => [6,4,3,5,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,8,4,5,3,6] => [6,3,5,4,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,2,7,3,5,8,4,6] => [6,4,8,5,3,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,6,1,3,2,4,7,5] => [5,7,4,2,3,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,8,3,4,1,5,2,6] => [6,2,5,1,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,7,3,4,1,8,2,6] => [6,2,8,1,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,3,4,1,5,2,8] => [8,2,5,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,4,1,6,2,8] => [8,2,6,1,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,7,3,4,1,8] => [8,1,4,3,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,5,1,6,2,8] => [8,2,6,1,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,5,1,8,2,6] => [6,2,8,1,5,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,2,3,1,7,4,8] => [8,4,7,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,4,1,7,3,8] => [8,3,7,1,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,5,1,7,3,8] => [8,3,7,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,7,3,8,2,6] => [6,2,8,3,7,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,2,7,3,8,1,4] => [4,1,8,3,7,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[9,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[10,2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[4,2,3,5,6,7,8,9,1] => [1,9,8,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,4,2,5,6,7,8,9,1] => [1,9,8,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,2,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[5,8,7,4,3,6,2,1] => [1,2,6,3,4,7,8,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) => 1

[8,6,3,1,2,4,7,5] => [5,7,4,2,1,3,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,3,2,1,4,7,5] => [5,7,4,1,2,3,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,5,7,6,2,3,8,1] => [1,8,3,2,6,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,2,6,4,8,1] => [1,8,4,6,2,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,7,3,6,4,8,1] => [1,8,4,6,3,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,2,3,5,4,8,1] => [1,8,4,5,3,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,7,3,6,4,8,1] => [1,8,4,6,3,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[10,3,4,5,6,7,8,1,2,9] => [9,2,1,8,7,6,5,4,3,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[11,3,4,5,6,7,8,9,1,2,10] => [10,2,1,9,8,7,6,5,4,3,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[8,1,2,4,3,7,6,5] => [5,6,7,3,4,2,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,3,4,2,7,6,5] => [5,6,7,2,4,3,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,4,2,3,7,6,5] => [5,6,7,3,2,4,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,3,2,4,7,6,5] => [5,6,7,4,2,3,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,2,3,4,7,6,5] => [5,6,7,4,3,2,1,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[2,4,6,3,5,8,7,1] => [1,7,8,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,2,6,5,3,8,7,1] => [1,7,8,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,2,6,5,8,3,7,1] => [1,7,3,8,5,6,2,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,2,6,8,5,3,7,1] => [1,7,3,5,8,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,4,6,8,3,5,7,1] => [1,7,5,3,8,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,4,6,3,8,5,7,1] => [1,7,5,8,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,4,3,6,8,5,7,1] => [1,7,5,8,6,3,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,3,7,4,5,8,2,6] => [6,2,8,5,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,4,7,3,6,8,1] => [1,8,6,3,7,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,1,7,4,5,8,3,6] => [6,3,8,5,4,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,4,7,3,8,2,6] => [6,2,8,3,7,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,1,7,5,8,2,6] => [6,2,8,5,7,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,5,1,3,7,2,4,6] => [6,4,2,7,3,1,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,2,1,5,4,6,7] => [7,6,4,5,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,6,4,5,7] => [7,5,4,6,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,5,1,6,3,7] => [7,3,6,1,5,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,5,6,4,7] => [7,4,6,5,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,4,6,5,7] => [7,5,6,4,1,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,2,1,5,8,4,6] => [6,4,8,5,1,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,2,1,4,8,5,6] => [6,5,8,4,1,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,3,8,5,1,2,6] => [6,2,1,5,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,3,7,5,4,8,1,2] => [2,1,8,4,5,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,6,3,5,4,8,1,2] => [2,1,8,4,5,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,1,6,4,3,2,8] => [8,2,3,4,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,7,4,3,2,8] => [8,2,3,4,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,4,1,5,3,2,6] => [6,2,3,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,6,1,7,4,3,2,8] => [8,2,3,4,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,6,4,3,2,8] => [8,2,3,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,7,5,8,2,4] => [4,2,8,5,7,6,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,2,1,5,6,3,7,8] => [8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,1,5,7,2,8] => [8,2,7,5,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,3,7,8,2,4] => [4,2,8,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,6,1,3,7,2,8] => [8,2,7,3,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,5,2,3,7,8] => [8,7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,8,4,3,2,6] => [6,2,3,4,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,7,1,4,3,2,8] => [8,2,3,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,8,4,3,2,6] => [6,2,3,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,8,5,4,1,3,2,6] => [6,2,3,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,6,5,1,4,3,2,8] => [8,2,3,4,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,2,7,1,5,8] => [8,5,1,7,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,5,4,1,7,8] => [8,7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,5,4,1,6,8] => [8,6,1,4,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,5,1,3,7,8] => [8,7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,4,1,7,2,8] => [8,2,7,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,7,5,3,8] => [8,3,5,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,4,1,6,3,8] => [8,3,6,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,1,6,7,3,8] => [8,3,7,6,1,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,7,1,4,8] => [8,4,1,7,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,6,4,7,8] => [8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,8,2,1,4,6] => [6,4,1,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,6,3,2,1,7,5] => [5,7,1,2,3,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,4,3,2,1,7,5] => [5,7,1,2,3,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[5,7,3,2,1,6,4,8] => [8,4,6,1,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,1,7,4,5,8] => [8,5,4,7,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,4,7,6,8] => [8,6,7,4,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,1,8,4,6] => [6,4,8,1,2,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,3,2,1,5,6,8] => [8,6,5,1,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,2,1,4,7,6] => [6,7,4,1,2,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,8,3,5,4,6,1,2] => [2,1,6,4,5,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(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) => 2

[5,7,1,6,2,8,3,4] => [4,3,8,2,6,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,6,5,1,8,3,4] => [4,3,8,1,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,1,6,3,8,2,4] => [4,2,8,3,6,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,5,4,8,2,7,1] => [1,7,2,8,4,5,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,3,1,8,4,2,5,6] => [6,5,2,4,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,4,7,3,5,6,8,1] => [1,8,6,5,3,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,7,3,6,8,5,1] => [1,5,8,6,3,7,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,1,5,4,7,8,2,6] => [6,2,8,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,3,8,4,6,7,1] => [1,7,6,4,8,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,3,1,6,4,2,7,8] => [8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,4,1,7,3,8] => [8,3,7,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,7,2,6,3,8] => [8,3,6,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,5,4,8,6,1] => [1,6,8,4,5,2,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,2,6,8,4,3,7,1] => [1,7,3,4,8,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,7,1,8,4,3,2,6] => [6,2,3,4,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,1,5,4,3,7,6] => [6,7,3,4,5,1,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,1,5,7,3,2,6] => [6,2,3,7,5,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,3,6,2,4,7,5,1] => [1,5,7,4,2,6,3,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,7,6,2,4,8,5,1] => [1,5,8,4,2,6,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,2,6,5,1,3,7,4] => [4,7,3,1,5,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,7,6,5,1,8,2,4] => [4,2,8,1,5,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,1,7,5,3,2,6,8] => [8,6,2,3,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,3,2,8,1,6] => [6,1,8,2,3,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,5,8,3,4,1,6] => [6,1,4,3,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,7,8,4,1,2,6] => [6,2,1,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,4,7,5,3,8,2,6] => [6,2,8,3,5,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,1,5,6,2,7,4] => [4,7,2,6,5,1,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,2,5,6,3,7,4] => [4,7,3,6,5,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,4,7,3,6,8,1,2] => [2,1,8,6,3,7,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,4,7,8,5,6,1,2] => [2,1,6,5,8,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[3,4,7,2,5,1,6,8] => [8,6,1,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,2,5,8,3,6] => [6,3,8,5,2,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,6,2,4,7,1,5,8] => [8,5,1,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,7,5,8,1,2] => [2,1,8,5,7,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,2,7,6,5,1,4,8] => [8,4,1,5,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,6,5,8,3,4] => [4,3,8,5,6,7,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,3,2,5,1,4,6] => [6,4,1,5,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,1,2,5,6,3,4] => [4,3,6,5,2,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[4,1,6,2,5,7,3,8] => [8,3,7,5,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,4,7,2,5,8] => [8,5,2,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,5,1,8,3,6] => [6,3,8,1,5,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,7,1,4,2,3,8] => [8,3,2,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,3,1,5,7,8] => [8,7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,4,1,6,2,8] => [8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,1,6,5,3,8] => [8,3,5,6,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,8,5,4,3,6] => [6,3,4,5,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,1,5,4,6,3,8] => [8,3,6,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,2,1,4,5,3,6] => [6,3,5,4,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,6,1,5,7,4,2,8] => [8,2,4,7,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,3,4,8,1] => [1,8,4,3,7,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,5,6,3,2,8,1] => [1,8,2,3,6,5,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,7,5,3,8,2,4] => [4,2,8,3,5,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,7,5,6,8,3,4] => [4,3,8,6,5,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,1,8,4,5,3,6] => [6,3,5,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,8,6,7,4,3,2,1] => [1,2,3,4,7,6,8,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8) => 1

[4,8,7,5,6,3,2,1] => [1,2,3,6,5,7,8,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8) => 1

[8,2,1,4,3,6,5,7] => [7,5,6,3,4,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,1,3,6,5,7] => [7,5,6,3,1,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,1,3,6,5,7] => [7,5,6,3,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,1,6,3,5,7] => [7,5,3,6,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,1,4,3,5,7] => [7,5,3,4,1,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,1,6,3,5,7] => [7,5,3,6,1,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,1,4,6,3,5,7] => [7,5,3,6,4,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,1,6,4,3,5,7] => [7,5,3,4,6,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,3,7,2,6,5,8,1] => [1,8,5,6,2,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,5,4,7,2,8,1] => [1,8,2,7,4,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,6,1,3,2,7,5] => [5,7,2,3,1,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,6,3,4,2,7,5] => [5,7,2,4,3,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,3,5,2,6,1,7,4] => [4,7,1,6,2,5,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,3,5,2,6,4,8,1] => [1,8,4,6,2,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,6,3,5,1,7,4] => [4,7,1,5,3,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,2,4,1,5,3,7,6] => [6,7,3,5,1,4,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,4,3,6,1,7,5] => [5,7,1,6,3,4,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[6,5,7,2,4,3,8,1] => [1,8,3,4,2,7,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,7,4,5,3,8,1] => [1,8,3,5,4,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,2,6,3,8,1] => [1,8,3,6,2,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,1,8,3,5,4,6] => [6,4,5,3,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,7,3,5,8,4,6] => [6,4,8,5,3,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,4,5,7,2,1,6] => [6,1,2,7,5,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,1,4,7,3,2,6] => [6,2,3,7,4,1,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[6,3,4,7,5,8,1,2] => [2,1,8,5,7,4,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,3,6,2,1,4,7,5] => [5,7,4,1,2,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[6,7,3,5,1,8,2,4] => [4,2,8,1,5,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,6,7,5,8,3,4] => [4,3,8,5,7,6,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,6,2,7,8,5,1] => [1,5,8,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,8,7,3,6,5,2,1] => [1,2,5,6,3,7,8,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,7),(5,7),(6,7),(7,2)],8) => 1

[7,3,4,2,1,6,5,8] => [8,5,6,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,6,1,4,8] => [8,4,1,6,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,6,4,1,8] => [8,1,4,6,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,2,7,4,8,1] => [1,8,4,7,2,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,1,5,6,4,3,8] => [8,3,4,6,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,6,4,2,8] => [8,2,4,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,6,1,3,2,8] => [8,2,3,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,2,7,8,1,4] => [4,1,8,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,3,6,2,7,8,5,1] => [1,5,8,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,4,6,7,2,8,5,1] => [1,5,8,2,7,6,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,4,3,6,2,5,7,8] => [8,7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,7,2,5,6,8] => [8,6,5,2,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,7,5,8,2,6] => [6,2,8,5,7,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,3,7,2,6,5,8] => [8,5,6,2,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,7,4,8,2,6] => [6,2,8,4,7,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,1,2,7,3,5,8] => [8,5,3,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,5,4,2,7,8] => [8,7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,2,5,4,1,3,6] => [6,3,1,4,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,3,6,2,4,7,1,8] => [8,1,7,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,3,8,1,4] => [4,1,8,3,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,6,5,3,1,4,8] => [8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,2,1,3,8] => [8,3,1,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,5,2,8,3,4] => [4,3,8,2,5,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,6,3,4,1,7,8] => [8,7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,1,5,3,6,8] => [8,6,3,5,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,3,5,8,1,2] => [2,1,8,5,3,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,6,5,2,4,1,8] => [8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,5,1,2,4,8] => [8,4,2,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,1,4,3,8] => [8,3,4,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,3,2,8,1,6] => [6,1,8,2,3,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,2,7,5,3,8,1,4] => [4,1,8,3,5,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,2,1,7,8,3,4] => [4,3,8,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,8,7,6,5,4,1,3] => [3,1,4,5,6,7,8,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(6,3),(6,4),(7,3),(7,4),(7,5)],8) => 3

[3,7,5,8,2,4,1,6] => [6,1,4,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,1,7,8,4,3,2,6] => [6,2,3,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,7,8,5,2,3,6] => [6,3,2,5,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,8,1,4,2,6] => [6,2,4,1,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,2,3,6,5,7,4] => [4,7,5,6,3,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,5,7,8,2,4,1,6] => [6,1,4,2,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,2,4,3,1,7,5] => [5,7,1,3,4,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,5,1,2,4,3,6,8] => [8,6,3,4,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,1,5,2,3,8] => [8,3,2,5,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,2,6,3,5,8] => [8,5,3,6,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,6,5,4,2,8] => [8,2,4,5,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,6,5,4,2,8] => [8,2,4,5,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,4,6,3,5,8] => [8,5,3,6,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,3,6,5,4,8] => [8,4,5,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,4,5,2,3,7,6] => [6,7,3,2,5,4,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,5,4,3,2,7,6] => [6,7,2,3,4,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[6,7,3,2,5,4,1,8] => [8,1,4,5,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,1,5,4,8] => [8,4,5,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,5,3,8,1,2] => [2,1,8,3,5,7,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,7,6,1,5,4,3,8] => [8,3,4,5,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,5,1,4,2,8] => [8,2,4,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,3,1,2,8] => [8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,2,7,3,6,8] => [8,6,3,7,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,2,6,4,5,8] => [8,5,4,6,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,1,4,2,8] => [8,2,4,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,3,1,4,2,6] => [6,2,4,1,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,5,3,1,6,2,4] => [4,2,6,1,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[7,5,3,1,4,2,6,8] => [8,6,2,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,4,8,1,2] => [2,1,8,4,6,3,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,3,8,4,6,1,2] => [2,1,6,4,8,3,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[7,5,3,1,6,2,4,8] => [8,4,2,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,1,6,4,2,8] => [8,2,4,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,1,4,2,8] => [8,2,4,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,4,1,2,8] => [8,2,1,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,8,4,1,2,6] => [6,2,1,4,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,4,1,6,2,8] => [8,2,6,1,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,1,8,2,6] => [6,2,8,1,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,6,3,1,8,2,4] => [4,2,8,1,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,3,1,6,8,2,4] => [4,2,8,6,1,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,3,1,4,8,2,6] => [6,2,8,4,1,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,3,1,4,6,2,8] => [8,2,6,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,1,2,6,4,8] => [8,4,6,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,1,2,8,4,6] => [6,4,8,2,1,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,7,3,2,8,6,1] => [1,6,8,2,3,7,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,3,2,7,4,8,6,1] => [1,6,8,4,7,2,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,7,4,3,2,8,6,1] => [1,6,8,2,3,4,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,7,5,3,2,8,6,1] => [1,6,8,2,3,5,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,4,5,3,2,8,6,1] => [1,6,8,2,3,5,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,5,4,3,2,8,6,1] => [1,6,8,2,3,4,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,3,2,5,4,8,6,1] => [1,6,8,4,5,2,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,8,5,7,4,3,2,1] => [1,2,3,4,7,5,8,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8) => 1

[2,3,4,5,6,7,9,8,1] => [1,8,9,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) => 1

[5,4,3,7,2,6,1,8] => [8,1,6,2,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,5,2,1,8] => [8,1,2,5,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,4,2,1,8] => [8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,3,7,4,1,8] => [8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,3,2,5,6,1,4] => [4,1,6,5,2,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[8,3,6,5,2,1,4,7] => [7,4,1,2,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,3,5,2,4,1,8] => [8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,2,5,3,1,8] => [8,1,3,5,2,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,1,6,5,3,7] => [7,3,5,6,1,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,8,7,6,5,2,4,3] => [3,4,2,5,6,7,8,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8) => 3

[4,6,3,2,7,5,1,8] => [8,1,5,7,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,7,2,4,1,8] => [8,1,4,2,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,7,3,5,1,8] => [8,1,5,3,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,4,7,5,1,8] => [8,1,5,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,6,4,3,1,8] => [8,1,3,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,4,2,3,5,8] => [8,5,3,2,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,2,4,5,7,3,1] => [1,3,7,5,4,2,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[7,1,5,4,3,8,2,6] => [6,2,8,3,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,6,5,4,3,2,8] => [8,2,3,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,5,8,1,6] => [6,1,8,5,2,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,6,5,1,3,8,2,4] => [4,2,8,3,1,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,2,3,4,1,6,5,8] => [8,5,6,1,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,2,1,7,4,8] => [8,4,7,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,7,2,5,3,8] => [8,3,5,2,7,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,2,4,7,3,8] => [8,3,7,4,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,2,4,8,3,6] => [6,3,8,4,2,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,6,5,7,2,4,3,8] => [8,3,4,2,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,8,3,2,4,6] => [6,4,2,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,5,6,2,8,3,4] => [4,3,8,2,6,5,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,5,2,3,7,4,8] => [8,4,7,3,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,2,8,4,6] => [6,4,8,2,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,6,4,2,3,7,5,8] => [8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,4,2,8,5,6] => [6,5,8,2,4,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,1,3,7,2,5,6] => [6,5,2,7,3,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,7,3,1,2,8,5,6] => [6,5,8,2,1,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,6,8,3,2,1,4] => [4,1,2,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,1,3,4,2,8,5,6] => [6,5,8,2,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,4,3,7,2,5,6] => [6,5,2,7,3,4,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,7,5,6,3,8,1,4] => [4,1,8,3,6,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,2,6,3,8,1,4] => [4,1,8,3,6,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,7,4,8,5,2,1,6] => [6,1,2,5,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,6,8,3,4,1,2] => [2,1,4,3,8,6,7,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(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) => 2

[3,7,4,6,5,8,1,2] => [2,1,8,5,6,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,6,4,7,5,8,1,2] => [2,1,8,5,7,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[1,6,2,7,5,8,3,4] => [4,3,8,5,7,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,1,5,2,4,3,6] => [6,3,4,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,7,2,6,5,8,3,4] => [4,3,8,5,6,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,2,7,6,8,3,4] => [4,3,8,6,7,2,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,5,6,1,3,2,4] => [4,2,3,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(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) => 4

[7,8,1,4,2,5,3,6] => [6,3,5,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,1,2,4,3,5,6] => [6,5,3,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,4,6,5,7,8,1,2] => [2,1,8,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[1,2,6,5,3,7,4,8] => [8,4,7,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,4,3,7,5,8] => [8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,2,4,8,5,1] => [1,5,8,4,2,7,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[2,6,4,8,5,3,7,1] => [1,7,3,5,8,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,3,5,8,4,2,1,6] => [6,1,2,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,5,1,8,2,6] => [6,2,8,1,5,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,5,4,3,8,1,6] => [6,1,8,3,4,5,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,6,2,4,5,3,7] => [7,3,5,4,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,5,4,3,8,1,6] => [6,1,8,3,4,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,5,3,4,8,2,6] => [6,2,8,4,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,3,7,1,8,5,6] => [6,5,8,1,7,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,1,4,3,8,5,6] => [6,5,8,3,4,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,3,7,1,4,2,8] => [8,2,4,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,5,4,3,7,2,6] => [6,2,7,3,4,5,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,4,1,5,3,8,2,6] => [6,2,8,3,5,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,1,5,3,2,6,8] => [8,6,2,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,5,4,3,2,6,7] => [7,6,2,3,4,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,4,2,5,3,7] => [7,3,5,2,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,5,3,1,2,7,4,8] => [8,4,7,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,1,5,7,2,8] => [8,2,7,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,5,3,6,2,8] => [8,2,6,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,5,4,3,6,2,7] => [7,2,6,3,4,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,7,5,6,2,3,1,8] => [8,1,3,2,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,6,3,8,1,2] => [2,1,8,3,6,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,5,8,4,6,1,2] => [2,1,6,4,8,5,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[5,6,1,7,3,8,2,4] => [4,2,8,3,7,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,4,5,2,7,1,8] => [8,1,7,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,2,5,3,4,1,6] => [6,1,4,3,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,1,5,3,6,2,4] => [4,2,6,3,5,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[2,6,4,7,3,5,1,8] => [8,1,5,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,6,4,5,1,8] => [8,1,5,4,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,6,3,8,2,4] => [4,2,8,3,6,5,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,5,6,3,4,1,8] => [8,1,4,3,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,5,3,4,1,8] => [8,1,4,3,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,5,3,8,2,4] => [4,2,8,3,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,2,7,5,6,1,8] => [8,1,6,5,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,7,5,8,2,6] => [6,2,8,5,7,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,5,8,1,4,3,6] => [6,3,4,1,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,3,1,7,5,8,4,6] => [6,4,8,5,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,2,5,4,6,1,8] => [8,1,6,4,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,7,3,6,1,8] => [8,1,6,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,1,3,7,6,5] => [5,6,7,3,1,2,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,4,3,1,2,7,6,5] => [5,6,7,2,1,3,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,3,2,6,5,1,4,7] => [7,4,1,5,6,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,1,4,7,6,5] => [5,6,7,4,1,2,3,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,4,6,1,3,2,5,7] => [7,5,2,3,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,4,3,8,2,1,5,6] => [6,5,1,2,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,2,5,8,4,3,7,1] => [1,7,3,4,8,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,6,3,1,5,2,4,8] => [8,4,2,5,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,6,5,3,4,8] => [8,4,3,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,1,5,2,4,8] => [8,4,2,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,5,1,2,3,8] => [8,3,2,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,7,6,8,3,4] => [4,3,8,6,7,1,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,1,6,8,2,4] => [4,2,8,6,1,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,3,1,7,8,2,4] => [4,2,8,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,5,4,7,3,6,1,8] => [8,1,6,3,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,3,7,5,1,8] => [8,1,5,7,3,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,7,6,4,1,8] => [8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,7,4,1,8] => [8,1,4,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,6,3,5,1,8] => [8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,6,4,1,8] => [8,1,4,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,7,5,4,1,8] => [8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,7,1,5,3,8] => [8,3,5,1,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,1,4,3,8] => [8,3,4,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,6,1,2,4,8] => [8,4,2,1,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,6,2,4,8,1] => [1,8,4,2,6,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,6,2,1,4,8] => [8,4,1,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,6,1,4,8] => [8,4,1,6,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,7,5,1,3,8] => [8,3,1,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,7,4,6,2,8] => [8,2,6,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,6,7,5,3,8] => [8,3,5,7,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,7,5,3,8,1] => [1,8,3,5,7,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,1,5,7,6,2,4,8] => [8,4,2,6,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,7,5,6,2,8] => [8,2,6,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,7,5,2,3,8] => [8,3,2,5,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,6,7,5,3,8] => [8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,8,1,4,2,6] => [6,2,4,1,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,3,7,5,8,2,6] => [6,2,8,5,7,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,2,4,5,1,6,8] => [8,6,1,5,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,7,5,2,6,8] => [8,6,2,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,7,2,1,5,8] => [8,5,1,2,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,7,1,4,2,8] => [8,2,4,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,4,5,3,7,2,6] => [6,2,7,3,5,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,3,1,5,4,8,2,6] => [6,2,8,4,5,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,5,2,7,1,6,8] => [8,6,1,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,3,2,5,7,4] => [4,7,5,2,3,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,3,1,4,5,6,2,8] => [8,2,6,5,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,4,3,5,6,2,7] => [7,2,6,5,3,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,2,4,1,7,3,5,8] => [8,5,3,7,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,7,8,1,4] => [4,1,8,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,5,8,3,2,1,6] => [6,1,2,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,6,1,4,2,3,7,8] => [8,7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,6,3,2,1,8] => [8,1,2,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,3,7,2,6,8] => [8,6,2,7,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,3,4,2,7,8] => [8,7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,8,3,2,1,6] => [6,1,2,3,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,1,3,4,2,6,8] => [8,6,2,4,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,4,2,3,6,8] => [8,6,3,2,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,8,5,2,3,6] => [6,3,2,5,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,8,5,2,1,6] => [6,1,2,5,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,4,8,5,1,2,6] => [6,2,1,5,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,3,5,2,6,4,7] => [7,4,6,2,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,3,7,2,8,1,6] => [6,1,8,2,7,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,7,5,2,8,4,6] => [6,4,8,2,5,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,7,4,1,8,3,6] => [6,3,8,1,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,1,8,4,2,5,6] => [6,5,2,4,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,7,5,2,4,3,1] => [1,3,4,2,5,7,6,8] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => 1

[5,4,7,3,2,1,6,8] => [8,6,1,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,7,2,1,4,8] => [8,4,1,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,2,1,4,8] => [8,4,1,2,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,7,5,1,3,8] => [8,3,1,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,5,1,4,8] => [8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,7,1,4,8] => [8,4,1,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,6,5,1,3,8] => [8,3,1,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,8,7,6,5,1,3,4] => [4,3,1,5,6,7,8,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[6,5,4,2,1,7,3,8] => [8,3,7,1,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,2,1,5,3,8] => [8,3,5,1,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,7,1,4,3,8] => [8,3,4,1,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,7,1,5,3,8] => [8,3,5,1,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,6,1,5,3,8] => [8,3,5,1,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,6,1,4,5,8] => [8,5,4,1,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,1,5,4,3,8] => [8,3,4,5,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,6,4,3,8] => [8,3,4,6,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,1,5,6,3,8] => [8,3,6,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,1,5,4,6,8] => [8,6,4,5,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,6,7,4,3,8] => [8,3,4,7,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,6,5,7,3,8] => [8,3,7,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,7,2,6,3,8] => [8,3,6,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,6,2,4,8] => [8,4,2,6,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,5,7,2,4,6] => [6,4,2,7,5,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[1,7,2,3,5,4,6,8] => [8,6,4,5,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,3,5,4,6,7] => [7,6,4,5,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,3,6,7,2,5,4,8] => [8,4,5,2,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,8,5,2,3,6] => [6,3,2,5,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,6,5,4,3,8] => [8,3,4,5,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,3,2,5,4,8] => [8,4,5,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,3,1,2,5,4,7] => [7,4,5,2,1,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,1,6,2,4,7] => [7,4,2,6,1,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,7,4,6,8,1,2] => [2,1,8,6,4,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,3,2,4,1,7,5,6] => [6,5,7,1,4,2,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[6,5,7,1,3,8,2,4] => [4,2,8,3,1,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,4,8,2,1,3,6] => [6,3,1,2,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,6,4,5,1,2,7] => [7,2,1,5,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,6,7,5,2,8,3,4] => [4,3,8,2,5,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,1,7,5,2,8,3,4] => [4,3,8,2,5,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,7,5,1,8,3,4] => [4,3,8,1,5,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,7,5,1,8,3,4] => [4,3,8,1,5,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,6,7,5,8,3,4] => [4,3,8,5,7,6,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,7,2,5,3,8,1,4] => [4,1,8,3,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,7,5,1,8,2,4] => [4,2,8,1,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,7,5,3,8,2,4] => [4,2,8,3,5,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,3,7,5,8,2,4] => [4,2,8,5,7,3,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,1,7,5,8,2,4] => [4,2,8,5,7,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,2,7,5,8,1,4] => [4,1,8,5,7,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,3,7,5,8,1,4] => [4,1,8,5,7,3,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,1,6,3,8,2,4] => [4,2,8,3,6,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,7,1,5,8,3,4] => [4,3,8,5,1,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,1,6,2,8,3,4] => [4,3,8,2,6,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,4,7,3,2,8,5,1] => [1,5,8,2,3,7,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,5,3,2,1,8,4,6] => [6,4,8,1,2,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,2,5,8,6,7,1] => [1,7,6,8,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,8,7,3,4,6,2,1] => [1,2,6,4,3,7,8,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) => 1

[8,6,4,1,3,2,5,7] => [7,5,2,3,1,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,3,6,5,2,4,7] => [7,4,2,5,6,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,4,6,5,1,7] => [7,1,5,6,4,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,1,6,5,3,7] => [7,3,5,6,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,2,6,5,3,7] => [7,3,5,6,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,1,5,3,7] => [7,3,5,1,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,2,1,3,7,5] => [5,7,3,1,2,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,4,2,3,1,7,5] => [5,7,1,3,2,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,5,1,7,6,8,2,4] => [4,2,8,6,7,1,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,2,6,7,8,1,4] => [4,1,8,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,7,2,4,8,6,1] => [1,6,8,4,2,7,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,6,7,2,4,8,5,1] => [1,5,8,4,2,7,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,6,2,3,7,8,5,1] => [1,5,8,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,6,2,7,3,8,5,1] => [1,5,8,3,7,2,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,6,7,3,2,8,5,1] => [1,5,8,2,3,7,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,7,2,3,4,8,6,1] => [1,6,8,4,3,2,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[1,3,5,7,2,6,4,8] => [8,4,6,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,2,3,4,6,8] => [8,6,4,3,2,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,1,3,8,4,6] => [6,4,8,3,1,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,2,5,1,3,7,4,6] => [6,4,7,3,1,5,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[1,6,7,5,3,2,4,8] => [8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,2,5,6,3,7] => [7,3,6,5,2,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,7,3,6,5,2,4,8] => [8,4,2,5,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,6,5,1,7,4] => [4,7,1,5,6,3,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,9,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,9,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9) => 1

[6,9,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9) => 1

[5,9,8,7,6,4,3,2,1] => [1,2,3,4,6,7,8,9,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(0,8),(1,3),(1,8),(3,7),(4,5),(5,2),(6,4),(7,6),(8,6)],9) => 1

[4,9,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,9,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,4),(0,8),(1,7),(1,8),(2,3),(4,6),(4,7),(5,2),(6,5),(7,5),(8,6)],9) => 1

[3,9,8,7,6,5,4,2,1] => [1,2,4,5,6,7,8,9,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,8),(1,7),(1,8),(3,6),(3,7),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6)],9) => 1

[2,9,8,7,6,5,4,3,1] => [1,3,4,5,6,7,8,9,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,8),(1,7),(1,8),(2,6),(2,7),(4,3),(5,3),(6,4),(7,4),(7,5),(8,5),(8,6)],9) => 1

[8,10,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,10,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10) => 1

[6,9,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,9,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9) => 1

[7,10,9,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,9,10,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,8),(1,3),(1,8),(3,9),(4,5),(5,7),(6,4),(7,2),(8,9),(9,6)],10) => 1

[4,8,6,5,7,3,2,1] => [1,2,3,7,5,6,8,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[5,9,8,6,7,4,3,2,1] => [1,2,3,4,7,6,8,9,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(3,8),(4,2),(5,4),(6,8),(7,8),(8,5)],9) => 1

[6,10,9,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,9,10,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,7),(0,8),(1,3),(1,8),(3,7),(4,6),(5,4),(6,2),(7,9),(8,9),(9,5)],10) => 1

[3,8,7,5,4,6,2,1] => [1,2,6,4,5,7,8,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) => 1

[4,8,5,6,7,3,2,1] => [1,2,3,7,6,5,8,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[4,9,8,7,5,6,3,2,1] => [1,2,3,6,5,7,8,9,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,8),(6,8),(7,8),(8,4)],9) => 1

[5,10,9,8,7,6,4,3,2,1] => [1,2,3,4,6,7,8,9,10,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,8),(0,9),(1,3),(1,9),(3,6),(3,8),(4,2),(5,4),(6,7),(7,5),(8,7),(9,6)],10) => 1

[2,8,7,6,4,3,5,1] => [1,5,3,4,6,7,8,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,8,7,4,5,6,2,1] => [1,2,6,5,4,7,8,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) => 1

[3,9,8,7,6,4,5,2,1] => [1,2,5,4,6,7,8,9,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,7),(1,6),(1,7),(3,4),(3,5),(3,6),(4,8),(5,8),(6,8),(7,4),(7,5),(8,2)],9) => 1

[4,10,9,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,9,10,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,4),(0,9),(1,8),(1,9),(2,3),(4,7),(4,8),(5,2),(6,5),(7,5),(8,6),(9,6),(9,7)],10) => 1

[1,8,7,6,5,3,2,4] => [4,2,3,5,6,7,8,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[2,8,7,6,3,4,5,1] => [1,5,4,3,6,7,8,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,9,8,7,6,5,3,4,1] => [1,4,3,5,6,7,8,9,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(3,8),(4,8),(5,8),(6,3),(6,4),(7,3),(7,4),(7,5)],9) => 1

[3,10,9,8,7,6,5,4,2,1] => [1,2,4,5,6,7,8,9,10,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,9),(1,8),(1,9),(3,7),(3,8),(4,2),(5,4),(6,4),(7,5),(8,5),(8,6),(9,6),(9,7)],10) => 1

[1,8,7,6,5,2,3,4] => [4,3,2,5,6,7,8,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[1,9,8,7,6,5,4,2,3] => [3,2,4,5,6,7,8,9,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,7),(1,8),(2,6),(2,8),(6,4),(6,5),(7,3),(7,6),(8,3),(8,4),(8,5)],9) => 3

[2,10,9,8,7,6,5,4,3,1] => [1,3,4,5,6,7,8,9,10,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,9),(1,8),(1,9),(2,7),(2,8),(4,5),(5,3),(6,3),(7,5),(7,6),(8,4),(8,6),(9,4),(9,7)],10) => 1

[1,7,5,6,3,4,2,8] => [8,2,4,3,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,4,2,6,3,8] => [8,3,6,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,1,7,8,5,6] => [6,5,8,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,7,2,3,5,8,1] => [1,8,5,3,2,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,3,2,7,5,8,4,6] => [6,4,8,5,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,6,7,3,4,8,1] => [1,8,4,3,7,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,4,7,6,3,8,1] => [1,8,3,6,7,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,2,1,7,8,3,4] => [4,3,8,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,2,7,6,3,8,1] => [1,8,3,6,7,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,6,4,5,8,1] => [1,8,5,4,6,7,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,1,7,5,8,3,4] => [4,3,8,5,7,1,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,4,7,6,5,3,2,1] => [1,2,3,5,6,7,4,8] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 1

[8,7,6,2,5,4,3,1] => [1,3,4,5,2,6,7,8] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 1

[8,5,7,6,4,2,3,1] => [1,3,2,4,6,7,5,8] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => 1

[7,8,2,5,3,6,1,4] => [4,1,6,3,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[2,5,3,7,6,8,1,4] => [4,1,8,6,7,3,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,1,4,3,7,5,8] => [8,5,7,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,5,3,7,4,8] => [8,4,7,3,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,2,6,5,8] => [8,5,6,2,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,8,1,4,2,6] => [6,2,4,1,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,5,8,3,6,1,2] => [2,1,6,3,8,5,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[3,7,4,8,1,5,2,6] => [6,2,5,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,2,6,5,8,1,4] => [4,1,8,5,6,2,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,3,7,1,5,4,8] => [8,4,5,1,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,5,2,4,8,1] => [1,8,4,2,5,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,7,4,1,5,3,8] => [8,3,5,1,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,3,1,6,8] => [8,6,1,3,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,7,1,8,2,4] => [4,2,8,1,7,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,4,2,5,1,7,3,8] => [8,3,7,1,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,2,4,1,6,8] => [8,6,1,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,7,2,6,1,8] => [8,1,6,2,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,2,5,8,1] => [1,8,5,2,6,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,6,7,1,8,2,4] => [4,2,8,1,7,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,2,5,4,7,6,9,8,1] => [1,8,9,6,7,4,5,2,3] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) => 1

[7,1,5,8,4,2,3,6] => [6,3,2,4,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,5,4,7,2,3,6] => [6,3,2,7,4,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,1,4,8,5,2,3,6] => [6,3,2,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,6,1,2,4,7,5] => [5,7,4,2,1,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,1,7,8,5,3,4,6] => [6,4,3,5,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,6,2,5,7,3,1] => [1,3,7,5,2,6,4,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[2,7,3,1,5,8,4,6] => [6,4,8,5,1,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,3,2,4,8,5,6] => [6,5,8,4,2,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,6,1,3,5,4,2,7] => [7,2,4,5,3,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,5,6,3,4,8,7,1] => [1,7,8,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[8,2,1,3,5,6,7,4] => [4,7,6,5,3,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,7,4,3,6,2,8,1] => [1,8,2,6,3,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,1,2,8,3,4] => [4,3,8,2,1,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,6,8,3,4,7,1] => [1,7,4,3,8,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,5,1,8,4,6] => [6,4,8,1,5,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,2,5,3,8,6,1] => [1,6,8,3,5,2,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,3,6,7,5,8,1,4] => [4,1,8,5,7,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,3,7,5,6,8,2,4] => [4,2,8,6,5,7,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,4,7,5,8,3,6] => [6,3,8,5,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,6,2,7,1,4,8] => [8,4,1,7,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,4,7,1,5,8] => [8,5,1,7,4,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,5,6,8,1,2] => [2,1,8,6,5,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,5,7,3,6,8,1,4] => [4,1,8,6,3,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,2,3,7,1,4,8] => [8,4,1,7,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,7,3,4,6,8] => [8,6,4,3,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,2,3,4,5,8] => [8,5,4,3,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,2,3,4,5,7] => [7,5,4,3,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,1,8,3,4,5,6] => [6,5,4,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,6,1,3,4,5,8] => [8,5,4,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,2,3,4,5,8] => [8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,5,7,1,4,8] => [8,4,1,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,2,1,4,6,8] => [8,6,4,1,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,4,1,3,6,8] => [8,6,3,1,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,2,6,3,5,8] => [8,5,3,6,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,6,3,8,1,2] => [2,1,8,3,6,7,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,6,3,7,5,8,1,2] => [2,1,8,5,7,3,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,1,2,5,7,6,4,8] => [8,4,6,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,3,4,2,5,8] => [8,5,2,4,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,4,2,7,5,8] => [8,5,7,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,6,1,7,3,8] => [8,3,7,1,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,7,6,8,2,4] => [4,2,8,6,7,5,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,7,2,6,5,4,1,8] => [8,1,4,5,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,5,4,3,1,8] => [8,1,3,4,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,6,3,1,8] => [8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,4,7,5,1,8] => [8,1,5,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,7,5,4,1,8] => [8,1,4,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,3,5,8,1,6] => [6,1,8,5,3,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,4,2,7,3,1,8] => [8,1,3,7,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,8,3,4,7,1] => [1,7,4,3,8,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,5,3,4,8,2,7,1] => [1,7,2,8,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,5,2,6,4,3,1,8] => [8,1,3,4,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,4,2,5,3,8] => [8,3,5,2,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,8,3,2,1,6] => [6,1,2,3,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,4,7,5,3,2,1,8] => [8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,3,5,4,1,8] => [8,1,4,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,5,2,4,3,8] => [8,3,4,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,4,1,3,8] => [8,3,1,4,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,8,4,3,7,1] => [1,7,3,4,8,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,1,4,3,6,7,8] => [8,7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,4,2,6,1,8] => [8,1,6,2,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,5,1,2,7,8] => [8,7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,6,5,3,7,8] => [8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,5,7,6,3,8] => [8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,5,6,1,2,8] => [8,2,1,6,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,2,4,3,7,5] => [5,7,3,4,2,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,6,2,5,3,7,4] => [4,7,3,5,2,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[4,1,7,2,6,3,5,8] => [8,5,3,6,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,3,2,5,6,8] => [8,6,5,2,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,6,2,5,7,8] => [8,7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,7,3,8,2,4] => [4,2,8,3,7,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,4,2,8,3,7,1] => [1,7,3,8,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,5,4,3,8,2,7,1] => [1,7,2,8,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,4,3,7,1,6,2,8] => [8,2,6,1,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,6,7,3,5,8] => [8,5,3,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,2,7,6,8] => [8,6,7,2,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,3,8,1,6] => [6,1,8,3,7,2,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,3,1,6,7,2,8] => [8,2,7,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,3,8,7,1] => [1,7,8,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,8,2,1,3,5,4,6] => [6,4,5,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[2,6,7,1,3,5,4,8] => [8,4,5,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,1,8,4,6] => [6,4,8,1,7,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,2,7,3,6,4,8] => [8,4,6,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,6,8,1,2] => [2,1,8,6,7,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,1,5,7,6,2,3,8] => [8,3,2,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,4,3,2,1,7,6] => [6,7,1,2,3,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,8,2,4,5,1,3,6] => [6,3,1,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[4,6,7,2,5,1,3,8] => [8,3,1,5,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,1,3,2,4,5,6] => [6,5,4,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,4,1,5,2,3,6] => [6,3,2,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,6,7,2,1,4,5,8] => [8,5,4,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,6,1,4,7,8] => [8,7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,6,1,4,7,8] => [8,7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,3,1,4,5,8] => [8,5,4,1,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,1,5,2,3,8] => [8,3,2,5,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,3,5,8,1,2] => [2,1,8,5,3,7,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,4,7,1,5,2,3,8] => [8,3,2,5,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,3,1,4,5,8] => [8,5,4,1,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,6,1,4,7,8] => [8,7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,6,1,4,7,8] => [8,7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,6,7,2,3,8] => [8,3,2,7,6,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,6,7,8,1,2] => [2,1,8,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[1,5,4,6,7,2,3,8] => [8,3,2,7,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,3,2,4,5,8] => [8,5,4,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,6,2,4,7,8] => [8,7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,6,2,4,7,8] => [8,7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,6,7,1,3,8] => [8,3,1,7,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,7,1,3,8] => [8,3,1,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,4,5,1,3,8] => [8,3,1,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,4,5,1,3,8] => [8,3,1,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,7,1,3,8] => [8,3,1,7,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,6,7,1,3,8] => [8,3,1,7,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,6,2,4,7,8] => [8,7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,3,2,4,5,8] => [8,5,4,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,4,5,2,3,8] => [8,3,2,5,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,4,5,8,1,2] => [2,1,8,5,4,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,1,6,7,2,3,8] => [8,3,2,7,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,6,3,4,7,8] => [8,7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,4,1,6,8] => [8,6,1,4,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,4,1,6,8] => [8,6,1,4,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,2,1,4,3,8] => [8,3,4,1,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,1,6,2,5,8] => [8,5,2,6,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,1,5,6,2,8] => [8,2,6,5,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,1,6,4,8] => [8,4,6,1,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,4,1,3,2,8] => [8,2,3,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,4,6,8,1,2] => [2,1,8,6,4,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,5,2,6,8,1,4] => [4,1,8,6,2,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,5,2,4,7,8,1] => [1,8,7,4,2,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,1,5,2,6,8,3,4] => [4,3,8,6,2,5,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,4,5,8,2,7,1] => [1,7,2,8,5,4,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,2,1,7,3,5,4,8] => [8,4,5,3,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,1,5,4,6,8] => [8,6,4,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,1,4,8,5,6] => [6,5,8,4,1,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,1,6,4,5,7,8] => [8,7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,5,7,8,4,6] => [6,4,8,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,1,5,7,4,6,8] => [8,6,4,7,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,7,3,6,4,5,8] => [8,5,4,6,3,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,1,5,6,4,8] => [8,4,6,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,5,1,6,3,8] => [8,3,6,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,1,7,5,3,6] => [6,3,5,7,1,4,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[3,2,1,6,7,4,5,8] => [8,5,4,7,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,4,5,6,8] => [8,6,5,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,2,7,3,5,8] => [8,5,3,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,3,2,4,5,8] => [8,5,4,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,3,7,5,4,8] => [8,4,5,7,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,9,8,7,6,5,4,1,3] => [3,1,4,5,6,7,8,9,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,7),(1,8),(2,6),(2,8),(6,4),(6,5),(7,3),(7,6),(8,3),(8,4),(8,5)],9) => 3

[2,8,7,6,5,1,4,3] => [3,4,1,5,6,7,8,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(6,3),(7,3),(7,4),(7,5)],8) => 3

[7,1,6,3,2,5,4,8] => [8,4,5,2,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,1,6,5,3,8] => [8,3,5,6,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,3,5,2,6,8] => [8,6,2,5,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,2,4,6,5,8] => [8,5,6,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,2,8,1,4] => [4,1,8,2,3,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,5,8,4,6,1,2] => [2,1,6,4,8,5,3,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[6,3,4,8,2,5,7,1] => [1,7,5,2,8,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,5,7,8,4,1,3,6] => [6,3,1,4,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,7,8,2,1,4,6] => [6,4,1,2,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,5,7,8,3,1,4,6] => [6,4,1,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,5,7,8,3,1,2,6] => [6,2,1,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,5,7,8,2,1,3,6] => [6,3,1,2,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,2,6,7,5,1,4,8] => [8,4,1,5,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,4,7,1,5,8] => [8,5,1,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,1,6,2,5,7,4] => [4,7,5,2,6,1,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,6,1,7,5,8,2,4] => [4,2,8,5,7,1,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,5,1,6,8,2,4] => [4,2,8,6,1,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,3,6,1,4,5,8] => [8,5,4,1,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,6,1,4,8] => [8,4,1,6,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,6,1,3,8] => [8,3,1,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,2,7,5,3,6] => [6,3,5,7,2,1,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,5,6,2,7,1,3,8] => [8,3,1,7,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,2,6,3,4,7] => [7,4,3,6,2,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,3,8,5,1,4,6] => [6,4,1,5,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,3,8,4,1,5,6] => [6,5,1,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,6,5,1,2,4,3,8] => [8,3,4,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,1,3,2,4,8] => [8,4,2,3,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,2,1,7,5,8] => [8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,1,2,8,3,4] => [4,3,8,2,1,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,4,5,1,7,2,8] => [8,2,7,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,4,1,7,3,8] => [8,3,7,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,5,3,8,1,4] => [4,1,8,3,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,2,5,6,3,1,8] => [8,1,3,6,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,5,6,2,1,8] => [8,1,2,6,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,5,6,2,1,8] => [8,1,2,6,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,5,6,4,1,8] => [8,1,4,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,5,3,7,2,6] => [6,2,7,3,5,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,3,5,4,7,2,6] => [6,2,7,4,5,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,3,2,6,1,4,7,5] => [5,7,4,1,6,2,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,7,6,1,4,2,5,8] => [8,5,2,4,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,8,2,1,4,6] => [6,4,1,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,6,2,1,4,5,8] => [8,5,4,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,2,1,5,4,8] => [8,4,5,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,6,3,1,4,8] => [8,4,1,3,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,1,5,3,2,8] => [8,2,3,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,6,3,8,2,4] => [4,2,8,3,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,5,2,1,6,3,7,4] => [4,7,3,6,1,2,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,4,2,5,7,3,1,6] => [6,1,3,7,5,2,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,2,7,6,5,3,1,8] => [8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,4,5,2,6,7] => [7,6,2,5,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,1,4,3,5,6,8] => [8,6,5,3,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,1,5,4,2,8] => [8,2,4,5,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,2,4,5,6,7] => [7,6,5,4,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,4,1,5,2,3,8] => [8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,4,6,7,2,8] => [8,2,7,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,5,7,6,8] => [8,6,7,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,2,5,1,4,8] => [8,4,1,5,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,3,1,5,2,8] => [8,2,5,1,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,3,2,6,8,1] => [1,8,6,2,3,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,7,2,3,6,8,1] => [1,8,6,3,2,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,3,4,7,5,8,1] => [1,8,5,7,4,3,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,2,7,5,8,1] => [1,8,5,7,2,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,3,1,7,4,2,8] => [8,2,4,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,8,1,5,3,6] => [6,3,5,1,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,6,3,7,5,1,4,8] => [8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,8,5,2,4,6] => [6,4,2,5,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,1,4,2,3,5,7] => [7,5,3,2,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,6,1,4,5,7] => [7,5,4,1,6,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,3,6,1,5,7] => [7,5,1,6,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,6,2,4,1,5,7] => [7,5,1,4,2,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,6,4,2,7,1,5,8] => [8,5,1,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,3,6,1,7,8] => [8,7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,7,5,3,8] => [8,3,5,7,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,1,3,5,4,8] => [8,4,5,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,3,6,5,7,8] => [8,7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,6,3,5,7,8] => [8,7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,6,3,5,7,4] => [4,7,5,3,6,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,2,1,4,3,5,7,8] => [8,7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,1,3,5,7,4] => [4,7,5,3,1,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,6,1,4,3,5,7,8] => [8,7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,1,3,5,7,8] => [8,7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,3,5,7,8] => [8,7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,2,8,3,7,1] => [1,7,3,8,2,4,6,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,6,4,2,7,3,1,8] => [8,1,3,7,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,6,3,2,8] => [8,2,3,6,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,4,5,3,2,8] => [8,2,3,5,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,5,4,6,2,8] => [8,2,6,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,2,7,3,8,1] => [1,8,3,7,2,4,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,1,5,4,2,7,8] => [8,7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,2,7,6,5,8] => [8,5,6,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,1,4,5,3,2,6] => [6,2,3,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,6,1,5,4,7,2,8] => [8,2,7,4,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,1,4,2,5,8] => [8,5,2,4,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,1,4,5,2,8] => [8,2,5,4,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,5,4,2,6,8] => [8,6,2,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[7,3,4,8,2,1,5,6] => [6,5,1,2,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,5,6,1,4,7,3,8] => [8,3,7,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,8,4,1,2,6] => [6,2,1,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,3,5,4,7,2,1,8] => [8,1,2,7,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,8,4,2,7,1] => [1,7,2,4,8,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,4,6,8,3,7,1] => [1,7,3,8,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,5,7,4,6,3,2,8] => [8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,4,6,3,8,1] => [1,8,3,6,4,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,6,4,5,3,2,7] => [7,2,3,5,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,3,5,4,6,2,7] => [7,2,6,4,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,2,4,3,5,7] => [7,5,3,4,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,7,6,2,4,3,5,8] => [8,5,3,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,3,4,5,2,8] => [8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,4,3,6,8] => [8,6,3,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,3,4,5,2,7] => [7,2,5,4,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,4,3,6,7] => [7,6,3,4,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,6,2,4,8,7,1] => [1,7,8,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[8,2,3,6,1,4,7,5] => [5,7,4,1,6,3,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,2,6,3,1,4,7,5] => [5,7,4,1,3,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,5,4,1,3,8,2,6] => [6,2,8,3,1,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,5,8,3,4,1,6] => [6,1,4,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,2,3,5,8,4,6] => [6,4,8,5,3,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,2,3,5,7,4,6] => [6,4,7,5,3,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,1,2,3,5,8,4,6] => [6,4,8,5,3,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,6,1,7,3,5,2,8] => [8,2,5,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,4,2,3,7,8] => [8,7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,7,4,2,3,8] => [8,3,2,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,2,4,7,1,5,6] => [6,5,1,7,4,2,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,5,3,7,1,6,4,8] => [8,4,6,1,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,7,5,1,6,8] => [8,6,1,5,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,7,1,6,5,8] => [8,5,6,1,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,7,6,1,5,8] => [8,5,1,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,6,1,5,7,8] => [8,7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,3,6,7,2,8] => [8,2,7,6,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,2,6,3,7,5] => [5,7,3,6,2,1,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,2,7,1,5,8,4,6] => [6,4,8,5,1,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,3,7,1,5,4,2,8] => [8,2,4,5,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,1,6,5,3,8] => [8,3,5,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,1,5,6,4,8] => [8,4,6,5,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,1,4,5,3,7] => [7,3,5,4,1,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,6,1,4,5,3,8] => [8,3,5,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,2,1,4,6,8] => [8,6,4,1,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,5,1,3,6,8] => [8,6,3,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,2,6,3,5,8] => [8,5,3,6,2,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,1,6,3,2,8] => [8,2,3,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,1,6,2,3,8] => [8,3,2,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,2,1,7,4,6] => [6,4,7,1,2,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[2,7,1,5,6,3,4,8] => [8,4,3,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,4,3,6,5,8] => [8,5,6,3,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,2,5,6,8,1] => [1,8,6,5,2,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,2,3,5,7,1,6] => [6,1,7,5,3,2,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,7,3,2,5,6,1,8] => [8,1,6,5,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,4,2,8,1,6] => [6,1,8,2,4,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,7,2,4,8,6,1] => [1,6,8,4,2,7,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,5,6,3,1,2,7,4] => [4,7,2,1,3,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,4,6,2,3,1,7,5] => [5,7,1,3,2,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,3,5,4,2,1,7,6] => [6,7,1,2,4,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[10,3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[10,4,1,2,3,5,6,7,8,9] => [9,8,7,6,5,3,2,1,4,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[10,6,1,2,3,4,5,7,8,9] => [9,8,7,5,4,3,2,1,6,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[10,7,1,2,3,4,5,6,8,9] => [9,8,6,5,4,3,2,1,7,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[11,3,1,2,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,2,1,3,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[11,4,1,2,3,5,6,7,8,9,10] => [10,9,8,7,6,5,3,2,1,4,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[11,6,1,2,3,4,5,7,8,9,10] => [10,9,8,7,5,4,3,2,1,6,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[11,7,1,2,3,4,5,6,8,9,10] => [10,9,8,6,5,4,3,2,1,7,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[11,9,1,2,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,2,1,9,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[2,6,5,7,3,1,4,8] => [8,4,1,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,7,5,8,1] => [1,8,5,7,4,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,2,4,7,5,1,8] => [8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,3,7,5,6,8] => [8,6,5,7,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,7,3,5,6,8] => [8,6,5,3,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,2,6,8,5,1] => [1,5,8,6,2,4,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,6,7,5,2,4,8,1] => [1,8,4,2,5,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,7,5,2,4,1,8] => [8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,3,5,7,6,8] => [8,6,7,5,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,1,3,6,8] => [8,6,3,1,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,2,4,1,7,8] => [8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,1,4,2,3,8] => [8,3,2,4,1,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,2,3,4,7,8] => [8,7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,1,4,6,2,5,7] => [7,5,2,6,4,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,5,3,6,8,1,4] => [4,1,8,6,3,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,1,5,6,2,4,8] => [8,4,2,6,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,1,6,2,4,8] => [8,4,2,6,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,6,5,8,1,4] => [4,1,8,5,6,3,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,7,3,6,4,5,8] => [8,5,4,6,3,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,8,3,2,4,6] => [6,4,2,3,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,4,2,3,5,6,8] => [8,6,5,3,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,4,7,3,5,6] => [6,5,3,7,4,1,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,5,7,3,4,8,6,1] => [1,6,8,4,3,7,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,7,6,3,4,8,5,1] => [1,5,8,4,3,6,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,1,7,2,3,6,5,8] => [8,5,6,3,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,2,3,6,4,8] => [8,4,6,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,1,2,3,7,5] => [5,7,3,2,1,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,5,1,2,3,7,4] => [4,7,3,2,1,5,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,5,1,2,3,7,4,8] => [8,4,7,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,1,2,5,3,8] => [8,3,5,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,3,5,7,1,8] => [8,1,7,5,3,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,3,7,2,5,8] => [8,5,2,7,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,2,5,3,1,7,4] => [4,7,1,3,5,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,2,3,4,5,1,7,6] => [6,7,1,5,4,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[5,1,4,3,7,2,6,8] => [8,6,2,7,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,5,7,2,4,8] => [8,4,2,7,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,7,5,3,6,8] => [8,6,3,5,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,6,2,5,4,8] => [8,4,5,2,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,6,2,4,7,5] => [5,7,4,2,6,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[6,2,3,1,5,4,7,8] => [8,7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,1,4,6,5,8] => [8,5,6,4,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,1,4,5,7,6] => [6,7,5,4,1,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,5,1,3,2,4,7,6] => [6,7,4,2,3,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,5,1,3,2,6,4,8] => [8,4,6,2,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,4,5,3,7,8] => [8,7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,1,5,2,7,8] => [8,7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,1,2,6,3,8] => [8,3,6,2,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,1,2,6,5,8] => [8,5,6,2,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,4,2,5,3,8] => [8,3,5,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,3,5,6,4,8] => [8,4,6,5,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,1,2,4,3,7,5] => [5,7,3,4,2,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[1,7,5,3,2,8,4,6] => [6,4,8,2,3,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,5,7,6,3,4,8] => [8,4,3,6,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,6,2,3,4,8] => [8,4,3,2,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,7,3,8,6,1] => [1,6,8,3,7,5,2,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,1,3,5,4,8,2,6] => [6,2,8,4,5,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,3,8,4,6,1,2] => [2,1,6,4,8,3,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[3,2,5,6,7,8,1,4] => [4,1,8,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,1,7,3,8,4,6] => [6,4,8,3,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,6,3,7,8,5,1] => [1,5,8,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,3,7,4,6,2,5,8] => [8,5,2,6,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,4,3,6,2,8] => [8,2,6,3,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,7,1,4,5,8] => [8,5,4,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,4,8,3,7,1] => [1,7,3,8,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,4,3,5,8,2,7,1] => [1,7,2,8,5,3,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,5,2,4,7,1,6,8] => [8,6,1,7,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,1,6,2,8] => [8,2,6,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,5,7,8,1,2] => [2,1,8,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,2,6,7,3,8,5,1] => [1,5,8,3,7,6,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,4,2,5,3,8,7,1] => [1,7,8,3,5,2,4,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,3,6,4,7,8,5,1] => [1,5,8,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,2,3,7,4,8,6,1] => [1,6,8,4,7,3,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,6,4,2,8,5,7,1] => [1,7,5,8,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,6,2,5,4,1,3,7] => [7,3,1,4,5,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,6,2,4,1,7] => [7,1,4,2,6,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,3,4,6,5,7] => [7,5,6,4,3,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,2,5,7,1,6] => [6,1,7,5,2,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[3,6,4,8,2,5,7,1] => [1,7,5,2,8,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,2,5,8,1,6] => [6,1,8,5,2,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,2,1,3,4,5,7,6] => [6,7,5,4,3,1,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,7,6,2,5,8,1,4] => [4,1,8,5,2,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,6,5,4,3,2,9,8,1] => [1,8,9,2,3,4,5,6,7] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) => 1

[11,9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9,11] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11) => 10

[8,5,4,3,7,2,1,6] => [6,1,2,7,3,4,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[6,5,4,8,3,2,7,1] => [1,7,2,3,8,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[10,9,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,9,10] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[7,4,1,2,5,8,3,6] => [6,3,8,5,2,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,4,2,5,1,3,8] => [8,3,1,5,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,4,2,3,7,5,1] => [1,5,7,3,2,4,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,4,2,7,3,1,6,8] => [8,6,1,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,4,5,3,1,8] => [8,1,3,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,4,2,8,5,6] => [6,5,8,2,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,1,2,4,6,5,8] => [8,5,6,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,5,2,7,4,8] => [8,4,7,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,2,8,5,7,1] => [1,7,5,8,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,2,1,7,5,8,3,6] => [6,3,8,5,7,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,2,6,5,1,3,8] => [8,3,1,5,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,3,6,5,2,8] => [8,2,5,6,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,3,6,2,5,8] => [8,5,2,6,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,3,6,5,8,1] => [1,8,5,6,3,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,7,5,6,3,8,1] => [1,8,3,6,5,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,6,7,5,3,1,8] => [8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,3,7,6,8,1] => [1,8,6,7,3,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,3,5,2,8,1,6] => [6,1,8,2,5,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,6,2,3,5,8,1] => [1,8,5,3,2,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,7,6,2,5,8,1] => [1,8,5,2,6,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,2,3,4,8,1,6] => [6,1,8,4,3,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,4,8,1,2,5,6] => [6,5,2,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,3,6,2,5,4,7] => [7,4,5,2,6,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,1,6,3,5,4,8] => [8,4,5,3,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,6,3,5,4,8] => [8,4,5,3,6,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,5,4,3,6,8] => [8,6,3,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,5,4,3,6,8] => [8,6,3,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,5,4,2,6,7] => [7,6,2,4,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,3,4,2,6,7] => [7,6,2,4,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,6,2,3,7,4] => [4,7,3,2,6,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,4,5,3,2,6,7] => [7,6,2,3,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,3,5,2,6,7] => [7,6,2,5,3,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,1,4,5,3,6,8] => [8,6,3,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,4,5,3,6,8] => [8,6,3,5,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,1,5,4,7,8] => [8,7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,1,5,4,7,8] => [8,7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,4,5,2,6,8] => [8,6,2,5,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,5,4,2,6,8] => [8,6,2,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,6,2,5,4,8] => [8,4,5,2,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,6,2,5,4,8] => [8,4,5,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,4,5,2,6,8] => [8,6,2,5,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,1,5,4,7,8] => [8,7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,1,5,4,7,8] => [8,7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,4,1,6,7,8] => [8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,1,5,2,7,8] => [8,7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,1,5,3,7,8] => [8,7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,1,5,3,7,8] => [8,7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,1,3,7,4,8] => [8,4,7,3,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,1,3,7,4,8] => [8,4,7,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,1,3,7,4,8] => [8,4,7,3,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,2,4,5,3,8] => [8,3,5,4,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,2,5,4,3,8] => [8,3,4,5,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,1,3,7,4,8] => [8,4,7,3,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,1,3,7,4,8] => [8,4,7,3,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,5,3,7,8] => [8,7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,5,2,6,8] => [8,6,2,5,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,5,3,2,6,8] => [8,6,2,3,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,2,6,3,8] => [8,3,6,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,1,2,7,4,8] => [8,4,7,2,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,3,1,6,7,8] => [8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,1,2,7,4,8] => [8,4,7,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,1,5,2,7,8] => [8,7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,6,8,2,7,1] => [1,7,2,8,6,3,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,4,5,8,3,2,7,1] => [1,7,2,3,8,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,6,1,2,5,3,4,7] => [7,4,3,5,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,3,5,2,7,4] => [4,7,2,5,3,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,4,2,5,3,1,6,8] => [8,6,1,3,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,1,5,2,4,8] => [8,4,2,5,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,1,2,5,4,8] => [8,4,5,2,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,1,3,2,6,8] => [8,6,2,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,8,2,1,3,6] => [6,3,1,2,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,6,2,1,5,3,8] => [8,3,5,1,2,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,5,2,3,7,8] => [8,7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,5,2,3,6,8] => [8,6,3,2,5,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,2,4,6,8] => [8,6,4,2,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,5,2,4,7,8] => [8,7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,4,2,5,7,8] => [8,7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,4,2,5,6,8] => [8,6,5,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,4,2,6,5,8] => [8,5,6,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,2,6,4,8] => [8,4,6,2,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,6,2,5,4,8] => [8,4,5,2,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,6,2,4,5,8] => [8,5,4,2,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,6,2,3,5,8] => [8,5,3,2,6,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,1,2,3,5,4,6,7,8] => [8,7,6,4,5,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[8,1,2,4,5,3,6,7] => [7,6,3,5,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,3,4,6,5,7,8,9,1] => [1,9,8,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[10,1,2,3,4,6,5,7,8,9] => [9,8,7,5,6,4,3,2,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[2,3,4,5,7,6,8,9,10,1] => [1,10,9,8,6,7,5,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,7,6,1,2,4,5,8] => [8,5,4,2,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,1,2,3,5,8] => [8,5,3,2,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,8,3,4,2,6] => [6,2,4,3,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,4,3,2,5,6,8] => [8,6,5,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,7,5,8,3,6] => [6,3,8,5,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,2,7,5,3,8,1] => [1,8,3,5,7,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,7,2,6,8,5,1] => [1,5,8,6,2,7,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,4,2,7,5,3,1,8] => [8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,6,5,8,1] => [1,8,5,6,2,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,3,6,2,8,1] => [1,8,2,6,3,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,7,5,1,2,8] => [8,2,1,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,3,6,2,1,8] => [8,1,2,6,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,8,5,2,1,6] => [6,1,2,5,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,8,5,1,2,6] => [6,2,1,5,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,7,8,4,1,2,6] => [6,2,1,4,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,3,8,4,2,1,6] => [6,1,2,4,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,4,5,3,8,2,7,1] => [1,7,2,8,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,4,6,3,5,2,8,1] => [1,8,2,5,3,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,7,3,5,2,8,1] => [1,8,2,5,3,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,3,8,2,7,1] => [1,7,2,8,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,3,6,2,4,7,8,1] => [1,8,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,2,4,6,8,1] => [1,8,6,4,2,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,1,4,8,2,6] => [6,2,8,4,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,1,5,7,8,2,6] => [6,2,8,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,3,1,5,8,2,4] => [4,2,8,5,1,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,3,1,4,2,7,8] => [8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,6,1,3,8] => [8,3,1,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,8,2,4,7,1] => [1,7,4,2,8,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,3,7,2,4,5,1,8] => [8,1,5,4,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,8,2,4,7,1] => [1,7,4,2,8,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,7,5,2,1,8] => [8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,2,5,4,1,8] => [8,1,4,5,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,5,4,1,8] => [8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,6,3,1,7,5] => [5,7,1,3,6,2,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,5,2,3,1,7,4] => [4,7,1,3,2,5,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,4,2,1,3,6,7,5] => [5,7,6,3,1,2,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,5,1,3,2,6,7,4] => [4,7,6,2,3,1,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[1,4,7,6,3,2,5,8] => [8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,3,6,2,5,8] => [8,5,2,6,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,8,4,2,5,6] => [6,5,2,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,3,6,4,7,2,5,8] => [8,5,2,7,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,5,4,2,6,8] => [8,6,2,4,5,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,3,1,4,2,5,6] => [6,5,2,4,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,4,1,5,2,3,6,8] => [8,6,3,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,3,7,5,2,8] => [8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,8,4,3,2,6] => [6,2,3,4,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,1,7,4,3,2,8] => [8,2,3,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,6,8,2,4] => [4,2,8,6,7,5,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,3,5,2,7,6,4,8] => [8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,6,2,4,8] => [8,4,2,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,4,6,2,8] => [8,2,6,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,7,4,2,6,8] => [8,6,2,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,7,2,6,8] => [8,6,2,7,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,5,4,7,8,2,6] => [6,2,8,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,5,7,4,8,2,6] => [6,2,8,4,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,7,4,3,8,1,6] => [6,1,8,3,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,3,7,4,8,1,6] => [6,1,8,4,7,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,2,6,8,4,7,1] => [1,7,4,8,6,2,5,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,5,7,4,3,8,6,1] => [1,6,8,3,4,7,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,6,3,7,2,8,5,1] => [1,5,8,2,7,3,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,3,7,8,2,4,1,6] => [6,1,4,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,4,8,3,1,5,6] => [6,5,1,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,6,8,2,3,1,4] => [4,1,3,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[3,7,4,8,2,5,1,6] => [6,1,5,2,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,6,4,2,3,7,5] => [5,7,3,2,4,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,3,4,5,6,8,9,7,1] => [1,7,9,8,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) => 1

[2,3,6,7,4,8,5,1] => [1,5,8,4,7,6,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[2,5,6,3,7,8,1,4] => [4,1,8,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,7,3,4,8,5,1] => [1,5,8,4,3,7,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,7,3,2,5,8,4,6] => [6,4,8,5,2,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,2,5,3,7,1,8] => [8,1,7,3,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,6,2,3,1,8] => [8,1,3,2,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,3,7,5,1,8] => [8,1,5,7,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,7,4,6,1,8] => [8,1,6,4,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,4,7,1,8] => [8,1,7,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,3,5,7,1,8] => [8,1,7,5,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,1,4,3,5,2,6] => [6,2,5,3,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,1,2,3,4,6,7,5] => [5,7,6,4,3,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,4,1,8,3,5,2,6] => [6,2,5,3,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,2,5,3,1,6,7] => [7,6,1,3,5,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,4,3,1,6,7] => [7,6,1,3,4,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,3,4,1,7,5] => [5,7,1,4,3,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,2,6,7,5,8,1,4] => [4,1,8,5,7,6,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,6,1,5,7,2,8] => [8,2,7,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,3,6,1,7,4] => [4,7,1,6,3,2,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,4,5,8,3,2,1,6] => [6,1,2,3,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,6,5,2,3,8,1,4] => [4,1,8,3,2,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,3,4,2,6,1,7,5] => [5,7,1,6,2,4,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,6,7,3,5,4,1,8] => [8,1,4,5,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,3,7,5,4,8] => [8,4,5,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,2,6,5,3,8] => [8,3,5,6,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,7,5,3,8] => [8,3,5,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,3,6,5,4,8] => [8,4,5,6,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,2,5,1,4,8] => [8,4,1,5,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,2,7,5,3,8] => [8,3,5,7,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,1,5,3,8] => [8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,8,5,7,6,3,2,1] => [1,2,3,6,7,5,8,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8) => 1

[2,8,7,6,3,5,4,1] => [1,4,5,3,6,7,8,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8) => 1

[8,6,1,5,3,2,4,7] => [7,4,2,3,5,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,8,1,5,3,2,4,6] => [6,4,2,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,6,1,4,5,2,3,7] => [7,3,2,5,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,1,5,2,4,7] => [7,4,2,5,1,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,1,5,2,3,7] => [7,3,2,5,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,6,1,4,3,7] => [7,3,4,1,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,8,3,1,5,2,4,6] => [6,4,2,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,7,2,5,1,8,3,4] => [4,3,8,1,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,4,5,1,7,2,3,6] => [6,3,2,7,1,5,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,4,5,7,3,6,8,1] => [1,8,6,3,7,5,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,5,7,2,8,1,6] => [6,1,8,2,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,6,3,7,2,5,8,1] => [1,8,5,2,7,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,1,3,4,8,2,6] => [6,2,8,4,3,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,6,3,5,7,2,8,1] => [1,8,2,7,5,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,2,6,7,4,8,1] => [1,8,4,7,6,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,6,7,3,5,8,1] => [1,8,5,3,7,6,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,7,2,4,5,8,1] => [1,8,5,4,2,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,2,6,8,1,4] => [4,1,8,6,2,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,5,7,2,8,1,4] => [4,1,8,2,7,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,5,7,2,4,8,1] => [1,8,4,2,7,5,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,2,6,7,3,8,1] => [1,8,3,7,6,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,3,5,1,7,8,2,4] => [4,2,8,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,3,2,4,8,1,6] => [6,1,8,4,2,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,5,2,6,1,3,7] => [7,3,1,6,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,2,1,6,3,7] => [7,3,6,1,2,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,5,4,2,1,8,3,6] => [6,3,8,1,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,7,3,1,8,2,4] => [4,2,8,1,3,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,3,7,2,4,8,1] => [1,8,4,2,7,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,7,2,3,8,1,4] => [4,1,8,3,2,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,3,2,7,8,1,4] => [4,1,8,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,3,2,7,4,8,1] => [1,8,4,7,2,3,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,2,7,3,8,1] => [1,8,3,7,2,5,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,7,2,1,8,3,4] => [4,3,8,1,2,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,4,6,8,1,2] => [2,1,8,6,4,3,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,7,3,1,4,6,2,8] => [8,2,6,4,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,1,2,6,4,8] => [8,4,6,2,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,6,3,8,5,1] => [1,5,8,3,6,2,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,4,7,5,2,3,8,1] => [1,8,3,2,5,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,2,6,4,1,3,8] => [8,3,1,4,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,5,2,1,4,3,7] => [7,3,4,1,2,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,6,3,1,4,5,8] => [8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,4,5,1,3,8] => [8,3,1,5,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,6,4,1,3,8] => [8,3,1,4,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,1,4,6,5,7] => [7,5,6,4,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,4,2,7,1,5,6,8] => [8,6,5,1,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,8,2,1,5,6] => [6,5,1,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,2,7,3,1,4,6,8] => [8,6,4,1,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,5,7,1,3,8] => [8,3,1,7,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,7,1,3,8] => [8,3,1,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,7,5,2,8,1] => [1,8,2,5,7,3,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,3,4,6,1,5,7] => [7,5,1,6,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,4,7,5,1,6] => [6,1,5,7,4,3,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,2,3,4,6,8,5,1] => [1,5,8,6,4,3,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,2,3,4,7,8,6,1] => [1,6,8,7,4,3,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,4,7,5,8,1] => [1,8,5,7,4,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,3,4,1,7,5,6] => [6,5,7,1,4,3,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,1,7,6,2,3,5,8] => [8,5,3,2,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,6,4,5,2,8] => [8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,4,2,8,5,1] => [1,5,8,2,4,6,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,8,5,2,1,4,3,6] => [6,3,4,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,4,2,5,8,3,7,1] => [1,7,3,8,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,7,1,5,3,8,2,6] => [6,2,8,3,5,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,1,3,4,6,2,8] => [8,2,6,4,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,2,3,6,8] => [8,6,3,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,2,1,3,7,5] => [5,7,3,1,2,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[5,4,6,8,2,3,7,1] => [1,7,3,2,8,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,7,1,5,2,8] => [8,2,5,1,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[7,4,2,6,1,5,3,8] => [8,3,5,1,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,5,6,1,3,8] => [8,3,1,6,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,4,2,1,8] => [8,1,2,4,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,5,6,2,8] => [8,2,6,5,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,6,1,3,8] => [8,3,1,6,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,4,3,7,8,1] => [1,8,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,3,6,8,1,2] => [2,1,8,6,3,4,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,8,4,5,1,3,2,6] => [6,2,3,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,7,1,3,2,5,4,8] => [8,4,5,2,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,4,3,5,2,8] => [8,2,5,3,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,2,3,1,5,4,6] => [6,4,5,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,4,3,5,1,6] => [6,1,5,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,8,2,4,1,5,3,6] => [6,3,5,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,4,2,6,5,7,3,8] => [8,3,7,5,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,4,2,7,3,8] => [8,3,7,2,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,4,1,5,3,8] => [8,3,5,1,4,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,4,3,5,1,8] => [8,1,5,3,4,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,3,1,5,4,8] => [8,4,5,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,4,8,1,2] => [2,1,8,4,5,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,4,1,6,5,7,3,8] => [8,3,7,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,6,4,7,3,8] => [8,3,7,4,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,6,4,7,3,8] => [8,3,7,4,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,7,4,8,1,2] => [2,1,8,4,7,5,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,6,2,4,3,7,1,8] => [8,1,7,3,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,6,1,7,3,8] => [8,3,7,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,6,3,7,2,8] => [8,2,7,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,6,1,7,2,8] => [8,2,7,1,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,4,1,7,2,8] => [8,2,7,1,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,4,3,7,2,8] => [8,2,7,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,3,2,7,4,8] => [8,4,7,2,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,7,1,3,2,8] => [8,2,3,1,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,8,1,3,2,4] => [4,2,3,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[4,5,1,3,2,7,6,8] => [8,6,7,2,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,7,1,3,2,8] => [8,2,3,1,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,3,2,7,5,8] => [8,5,7,2,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,6,2,7,5,8] => [8,5,7,2,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,6,5,7,2,8] => [8,2,7,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,3,1,7,6,8] => [8,6,7,1,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,6,8,1,2] => [2,1,8,6,7,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,6,5,7,3,8,1,2] => [2,1,8,3,7,5,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,6,5,7,2,3,1,8] => [8,1,3,2,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,6,4,7,2,8] => [8,2,7,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,6,4,7,2,8] => [8,2,7,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,6,2,7,4,8] => [8,4,7,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,6,1,7,4,8] => [8,4,7,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,6,4,7,1,8] => [8,1,7,4,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,6,1,7,5,8] => [8,5,7,1,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,3,1,7,5,8] => [8,5,7,1,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,6,1,7,5,8] => [8,5,7,1,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,6,4,7,1,8] => [8,1,7,4,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,6,1,7,4,8] => [8,4,7,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,7,3,5,8,1] => [1,8,5,3,7,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,2,7,5,4,8,1] => [1,8,4,5,7,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,6,7,4,3,8,1] => [1,8,3,4,7,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,2,7,6,4,8,1] => [1,8,4,6,7,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,5,7,4,3,8,2,6] => [6,2,8,3,4,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,7,3,1,8,4,6] => [6,4,8,1,3,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,7,3,4,8,2,6] => [6,2,8,4,3,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,6,2,1,7,5,8] => [8,5,7,1,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,2,1,7,5,8] => [8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,1,7,5,2,8] => [8,2,5,7,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,6,1,7,5,8] => [8,5,7,1,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,1,6,4,7,8] => [8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,6,2,7,4,8] => [8,4,7,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,3,2,7,4,8] => [8,4,7,2,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,4,7,5,3,8] => [8,3,5,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,7,4,2,5,8] => [8,5,2,4,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,7,5,3,2,8] => [8,2,3,5,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,3,7,4,2,8] => [8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,4,2,1,7,8] => [8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,4,1,7,8] => [8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,6,3,7,4,8] => [8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,3,1,7,4,8] => [8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,1,7,4,5,8] => [8,5,4,7,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,7,4,1,5,8] => [8,5,1,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,1,3,6,5,8] => [8,5,6,3,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,3,7,5,4,8] => [8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,7,5,2,4,8] => [8,4,2,5,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,2,7,4,3,8] => [8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,4,3,1,7,8] => [8,7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,6,4,3,7,8] => [8,7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,1,6,3,7,8] => [8,7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,3,1,7,8] => [8,7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,6,2,7,3,8] => [8,3,7,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,4,2,7,3,8] => [8,3,7,2,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,5,4,3,7,8] => [8,7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,2,5,4,7,8] => [8,7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,4,3,2,7,8] => [8,7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,6,3,2,7,8] => [8,7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,1,6,2,7,8] => [8,7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,1,5,4,6,8] => [8,6,4,5,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,1,5,6,3,8] => [8,3,6,5,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,7,4,1,8] => [8,1,4,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,2,5,6,1,8] => [8,1,6,5,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,6,5,2,4,8] => [8,4,2,5,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,2,4,7,1,8] => [8,1,7,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,3,7,8,2,6] => [6,2,8,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,3,5,1,4,2,6] => [6,2,4,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,6,2,7,1,8,3,4] => [4,3,8,1,7,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,6,4,8,1,2] => [2,1,8,4,6,3,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,7,2,3,1,6,4,8] => [8,4,6,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,4,3,6,1,8] => [8,1,6,3,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,7,1,5,3,8] => [8,3,5,1,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,6,2,5,3,8] => [8,3,5,2,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,5,3,6,2,8] => [8,2,6,3,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,5,1,7,2,8] => [8,2,7,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,1,4,2,8] => [8,2,4,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,7,1,4,2,8] => [8,2,4,1,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,6,3,4,2,8] => [8,2,4,3,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,4,2,8,5,6] => [6,5,8,2,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,2,7,1,8,5,6] => [6,5,8,1,7,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,2,3,1,8,5,6] => [6,5,8,1,3,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,2,3,4,5,6,9,1] => [1,9,6,5,4,3,2,8,7] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[8,9,2,3,4,5,6,7,10,1] => [1,10,7,6,5,4,3,2,9,8] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[5,6,2,7,4,3,8,1] => [1,8,3,4,7,2,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,7,3,2,5,8,1] => [1,8,5,2,3,7,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,7,6,8,1,2] => [2,1,8,6,7,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,8,1,2,3,5,4,6] => [6,4,5,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,6,7,2,3,5,4,8] => [8,4,5,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,7,6,2,3,8] => [8,3,2,6,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,7,3,6,4,8] => [8,4,6,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,5,8,3,7,1] => [1,7,3,8,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,4,2,8,3,5,7,1] => [1,7,5,3,8,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,4,2,6,3,5,1,7] => [7,1,5,3,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,5,2,1,3,7] => [7,3,1,2,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,2,1,5,3,7] => [7,3,5,1,2,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,4,8,3,5,1,6] => [6,1,5,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,2,1,5,3,6,7] => [7,6,3,5,1,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,1,4,2,3,6,7] => [7,6,3,2,4,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,5,3,2,6,7] => [7,6,2,3,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,4,8,3,5,2,6] => [6,2,5,3,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,1,8,4,5,3,6] => [6,3,5,4,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,5,7,3,2,6,8] => [8,6,2,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,7,3,2,5,8] => [8,5,2,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,6,3,2,5,8] => [8,5,2,3,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,3,5,6,4,8] => [8,4,6,5,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,3,5,4,7,6] => [6,7,4,5,3,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[6,1,2,3,5,7,4,8] => [8,4,7,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,3,8,6,1] => [1,6,8,3,2,5,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,2,3,4,5,8,6,1] => [1,6,8,5,4,3,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,2,3,5,7,1,4,6] => [6,4,1,7,5,3,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[5,7,3,1,4,2,6,8] => [8,6,2,4,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,5,4,8,1] => [1,8,4,5,7,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,7,2,5,3,8,1] => [1,8,3,5,2,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,3,7,5,6,2,4,8] => [8,4,2,6,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,4,3,5,2,8] => [8,2,5,3,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,6,2,3,7,8] => [8,7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,3,4,1,8] => [8,1,4,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,7,4,1,3,8] => [8,3,1,4,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,2,6,7,3,8] => [8,3,7,6,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,3,8,1,4] => [4,1,8,3,7,5,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,5,3,8,4,7,1] => [1,7,4,8,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,2,7,4,1,6,3,8] => [8,3,6,1,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,1,5,6,2,8] => [8,2,6,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,7,1,6,4,8] => [8,4,6,1,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,7,5,1,4,8] => [8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2,9] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9) => 7

[3,5,6,2,1,7,4,8] => [8,4,7,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,1,7,3,2,8] => [8,2,3,7,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,4,8,3,6] => [6,3,8,4,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,2,5,4,8,3,6] => [6,3,8,4,5,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,1,5,4,8,3,6] => [6,3,8,4,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,1,5,4,8,3,6] => [6,3,8,4,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,7,5,4,8,3,6] => [6,3,8,4,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,7,5,4,8,1,6] => [6,1,8,4,5,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,7,5,4,8,1,6] => [6,1,8,4,5,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,2,5,4,8,1,6] => [6,1,8,4,5,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,7,5,4,8,2,6] => [6,2,8,4,5,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,3,7,5,4,8,2,6] => [6,2,8,4,5,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,5,2,4,7,3,1,6] => [6,1,3,7,4,2,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,5,4,7,3,2,6] => [6,2,3,7,4,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[1,7,3,5,4,8,2,6] => [6,2,8,4,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,3,2,7,8,5,6] => [6,5,8,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,3,2,7,8,5,6] => [6,5,8,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,3,1,7,8,5,6] => [6,5,8,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,3,5,4,8,1,6] => [6,1,8,4,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,2,5,4,7,3,1,6] => [6,1,3,7,4,5,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[7,2,3,5,4,8,1,6] => [6,1,8,4,5,3,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,1,4,7,8,5,6] => [6,5,8,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,2,5,1,6,3,8] => [8,3,6,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,5,2,1,4,8] => [8,4,1,2,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,5,2,1,7,4] => [4,7,1,2,5,6,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,3,5,2,1,4,7,8] => [8,7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,5,2,1,4,8] => [8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,6,3,1,4,8] => [8,4,1,3,6,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,1,4,6,8] => [8,6,4,1,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,5,1,3,7,6] => [6,7,3,1,5,2,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,3,5,2,1,4,6,7] => [7,6,4,1,2,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,7,6,2,8,3,4] => [4,3,8,2,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,1,7,2,8,3,4] => [4,3,8,2,7,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,1,7,5,3,6,2,8] => [8,2,6,3,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,7,5,1,3,8] => [8,3,1,5,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,7,4,8,1,6] => [6,1,8,4,7,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,6,4,7,8,1,2] => [2,1,8,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,3,6,4,2,8,7,1] => [1,7,8,2,4,6,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,4,2,3,7,8,6,1] => [1,6,8,7,3,2,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,2,7,1,6,3,5,8] => [8,5,3,6,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,4,2,6,3,8] => [8,3,6,2,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,3,2,4,6,8] => [8,6,4,2,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,1,7,4,5,8] => [8,5,4,7,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,1,7,5,3,8] => [8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,7,3,6,4,8] => [8,4,6,3,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,7,6,1,4,8] => [8,4,1,6,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,5,7,1,6,8] => [8,6,1,7,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,6,2,7,5,8] => [8,5,7,2,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,7,2,8,5,6] => [6,5,8,2,7,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,2,1,6,7,3,8] => [8,3,7,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,1,6,7,4,8] => [8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,3,6,1,8] => [8,1,6,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,7,3,1,5,8] => [8,5,1,3,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,5,6,3,8,1] => [1,8,3,6,5,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,4,5,3,8,1,6] => [6,1,8,3,5,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,7,6,2,8,1,4] => [4,1,8,2,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,3,2,7,8,4,6] => [6,4,8,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,4,2,7,8,3,6] => [6,3,8,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,5,2,6,3,1,7] => [7,1,3,6,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,1,3,5,2,4,7] => [7,4,2,5,3,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,1,2,6,4,3,7] => [7,3,4,6,2,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,5,2,4,6,8,1] => [1,8,6,4,2,5,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,5,8,3,1,2,6] => [6,2,1,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,2,3,6,8,1,4] => [4,1,8,6,3,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,6,7,5,8,1,2] => [2,1,8,5,7,6,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,5,2,8,4,1,3,6] => [6,3,1,4,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,1,5,7,3,4,6] => [6,4,3,7,5,1,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[5,4,1,2,7,8,3,6] => [6,3,8,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,3,2,4,6,7,5] => [5,7,6,4,2,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,7,2,6,3,5,8,1] => [1,8,5,3,6,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,2,4,3,8,5,1] => [1,5,8,3,4,2,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,6,7,2,4,5,8,1] => [1,8,5,4,2,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,5,8,2,4,7,1] => [1,7,4,2,8,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,5,2,7,4,3,8,1] => [1,8,3,4,7,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,5,2,7,3,8,1] => [1,8,3,7,2,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,6,5,3,1,7,4] => [4,7,1,3,5,6,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,7,5,3,1,8,4,6] => [6,4,8,1,3,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,6,4,7,2,8,5,1] => [1,5,8,2,7,4,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,6,1,2,5,4,3,7] => [7,3,4,5,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,6,4,5,2,1,7] => [7,1,2,5,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,5,3,2,8,6,7,1] => [1,7,6,8,2,3,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,2,1,4,5,8,3,6] => [6,3,8,5,4,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,2,3,6,4,8,1] => [1,8,4,6,3,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,1,7,2,5,8,4,6] => [6,4,8,5,2,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,5,2,1,6,3,7] => [7,3,6,1,2,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,5,6,3,8,2,4] => [4,2,8,3,6,5,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,2,4,7,8,3,6] => [6,3,8,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,7,8,4,6,1,2] => [2,1,6,4,8,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[7,8,2,4,3,1,5,6] => [6,5,1,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,4,3,1,7,5,2,6] => [6,2,5,7,1,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[5,3,2,4,7,8,6,1] => [1,6,8,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,7,2,4,5,3,8,1] => [1,8,3,5,4,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,6,5,3,2,1,7] => [7,1,2,3,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,4,3,6,2,1,5,8] => [8,5,1,2,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,3,4,1,6,8] => [8,6,1,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,3,1,5,6,8] => [8,6,5,1,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,2,4,1,6,8] => [8,6,1,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,4,7,1,3,8] => [8,3,1,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,2,1,8,3,4] => [4,3,8,1,2,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,6,7,1,3,8,2,4] => [4,2,8,3,1,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,5,4,1,3,2,7,6] => [6,7,2,3,1,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[4,7,1,8,2,5,3,6] => [6,3,5,2,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,6,1,3,5,2,7] => [7,2,5,3,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,2,5,4,7,8,1,6] => [6,1,8,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,7,6,5,8,2,4] => [4,2,8,5,6,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,7,5,6,8,3,4] => [4,3,8,6,5,7,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,6,5,1,4,7,3,8] => [8,3,7,4,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,2,3,8,1,6] => [6,1,8,3,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,6,7,3,1,4,8] => [8,4,1,3,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,1,3,5,6,2,4] => [4,2,6,5,3,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[7,8,3,1,5,6,2,4] => [4,2,6,5,1,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[5,3,7,8,4,6,1,2] => [2,1,6,4,8,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[5,1,7,3,4,8,2,6] => [6,2,8,4,3,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,2,8,1,5,3,6] => [6,3,5,1,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,2,7,8,5,3,4,6] => [6,4,3,5,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,2,7,8,5,1,4,6] => [6,4,1,5,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,3,7,8,5,1,4,6] => [6,4,1,5,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,3,8,5,1,4,6] => [6,4,1,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,1,8,5,3,4,6] => [6,4,3,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,8,4,5,3,6] => [6,3,5,4,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,7,1,6,4,2,8] => [8,2,4,6,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,4,2,7,1,8] => [8,1,7,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,3,2,4,7,5,1] => [1,5,7,4,2,3,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,1,4,2,3,6,7,5] => [5,7,6,3,2,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[1,7,6,3,5,8,2,4] => [4,2,8,5,3,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,3,8,5,2,1,6] => [6,1,2,5,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,2,4,1,3,7,5] => [5,7,3,1,4,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,7,4,6,5,2,8,1] => [1,8,2,5,6,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,1,7,4,8,2,6] => [6,2,8,4,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,3,8,1,5,2,6] => [6,2,5,1,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,2,1,7,4,8,3,6] => [6,3,8,4,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,1,3,7,6,4,8] => [8,4,6,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,2,1,8,5,6] => [6,5,8,1,2,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,2,1,7,6,4,8] => [8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,7,3,6,2,8] => [8,2,6,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,1,5,4,2,8] => [8,2,4,5,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,2,5,3,7,8] => [8,7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,5,4,2,7,8] => [8,7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,5,4,7,3,8] => [8,3,7,4,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,3,4,7,1,8] => [8,1,7,4,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,2,4,1,7,8] => [8,7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,1,3,6,8] => [8,6,3,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,1,4,2,7,8] => [8,7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,1,2,3,6,8] => [8,6,3,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,2,5,3,7,8] => [8,7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,5,2,8,1,4] => [4,1,8,2,5,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[9,1,2,3,4,5,6,8,7] => [7,8,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9) => 7

[10,1,2,3,4,5,6,7,9,8] => [8,9,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10) => 8

[4,5,3,2,7,8,1,6] => [6,1,8,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,4,6,1,5,2,7] => [7,2,5,1,6,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,3,4,7,5,8,1,6] => [6,1,8,5,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,7,2,3,6,8,1] => [1,8,6,3,2,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,8,7,6,2,3,5,1] => [1,5,3,2,6,7,8,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,2,7,5,3,8,4,6] => [6,4,8,3,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,6,1,7,2,4,8] => [8,4,2,7,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,3,7,1,5,8] => [8,5,1,7,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,8,1,2,4,6] => [6,4,2,1,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,1,7,5,2,3,4,8] => [8,4,3,2,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,4,1,2,5,3,6] => [6,3,5,2,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,1,3,4,7,2,5,8] => [8,5,2,7,4,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,7,5,4,3,8] => [8,3,4,5,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,5,7,4,3,8] => [8,3,4,7,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,7,4,1,5,8] => [8,5,1,4,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,4,6,2,7,8] => [8,7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,1,2,6,3,8] => [8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,1,7,3,5,6] => [6,5,3,7,1,4,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,6,1,4,2,3,7,5] => [5,7,3,2,4,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,4,3,5,7,8,1,6] => [6,1,8,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,4,5,3,2,6,8] => [8,6,2,3,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,2,5,7,4,8] => [8,4,7,5,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,2,6,5,3,8] => [8,3,5,6,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,8,2,7,1] => [1,7,2,8,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,2,7,3,1,8,5,6] => [6,5,8,1,3,7,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,6,2,3,4,8,5,1] => [1,5,8,4,3,2,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,7,6,4,2,8,5,1] => [1,5,8,2,4,6,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,8,2,3,5,1,4,6] => [6,4,1,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,1,2,4,3,5,6,7] => [7,6,5,3,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,3,4,6,5,7,8,9,10,1] => [1,10,9,8,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,3,5,6,4,7,8,9,1] => [1,9,8,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[10,1,2,3,5,4,6,7,8,9] => [9,8,7,6,4,5,3,2,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[5,8,7,4,6,3,2,1] => [1,2,3,6,4,7,8,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(3,7),(4,2),(5,7),(6,7),(7,4)],8) => 1

[4,8,7,6,3,5,2,1] => [1,2,5,3,6,7,8,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(4,7),(5,7),(6,7),(7,2)],8) => 1

[3,8,7,6,5,2,4,1] => [1,4,2,5,6,7,8,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3),(6,4)],8) => 1

[7,9,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,9,7] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,8),(1,3),(1,4),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9) => 1

[5,8,4,7,6,3,2,1] => [1,2,3,6,7,4,8,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,6),(1,3),(1,4),(1,6),(3,7),(4,7),(5,2),(6,7),(7,5)],8) => 1

[6,8,5,4,7,3,2,1] => [1,2,3,7,4,5,8,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[5,9,8,7,4,6,3,2,1] => [1,2,3,6,4,7,8,9,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(5,8),(6,8),(7,8),(8,4)],9) => 1

[3,8,7,6,2,5,4,1] => [1,4,5,2,6,7,8,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8) => 1

[4,8,7,6,3,2,5,1] => [1,5,2,3,6,7,8,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,8,7,6,5,2,1,4] => [4,1,2,5,6,7,8,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[3,5,4,7,2,6,1,8] => [8,1,6,2,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,7,6,1,2,8] => [8,2,1,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,4,6,1,2,8] => [8,2,1,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,4,6,2,1,8] => [8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,4,6,1,8] => [8,1,6,4,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,7,6,4,1,8] => [8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,6,4,1,8] => [8,1,4,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,2,4,1,8] => [8,1,4,2,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,1,4,2,8] => [8,2,4,1,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,4,1,2,8] => [8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,6,1,4,8] => [8,4,1,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,1,4,8,2,6] => [6,2,8,4,1,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,2,7,1,6,4,8] => [8,4,6,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,1,4,6,8] => [8,6,4,1,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,7,1,4,6,8] => [8,6,4,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,7,4,1,6,8] => [8,6,1,4,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,7,4,1,6,8] => [8,6,1,4,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,7,2,1,6,8] => [8,6,1,2,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,2,7,1,6,8] => [8,6,1,7,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,5,4,7,1,6,8] => [8,6,1,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,1,8,2,4] => [4,2,8,1,3,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,2,7,5,1,8,4,6] => [6,4,8,1,5,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,7,2,4,8,3,6] => [6,3,8,4,2,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,7,6,1,5,4,8] => [8,4,5,1,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,6,5,1,3,7] => [7,3,1,5,6,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,2,5,6,1,4,7] => [7,4,1,6,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,2,6,7,1,5,4,8] => [8,4,5,1,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,8,5,1,3,6] => [6,3,1,5,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,6,5,7,1,8,3,4] => [4,3,8,1,7,5,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,1,4,6,3,5,2,7] => [7,2,5,3,6,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,4,3,2,6,8,5,1] => [1,5,8,6,2,3,4,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,1,6,3,5,8,2,4] => [4,2,8,5,3,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,4,2,5,8,6,1] => [1,6,8,5,2,4,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,5,6,2,1,3,7,4] => [4,7,3,1,2,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,3,5,2,4,6,1,8] => [8,1,6,4,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,2,4,6,1,8] => [8,1,6,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,2,4,6,1,8] => [8,1,6,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,2,4,6,1,8] => [8,1,6,4,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,2,1,4,6,8] => [8,6,4,1,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,2,4,1,6,8] => [8,6,1,4,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,2,7,4,6,8] => [8,6,4,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,5,1,4,6,8] => [8,6,4,1,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,1,2,4,6,8] => [8,6,4,2,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,7,2,4,6,8] => [8,6,4,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,4,7,1,6,8] => [8,6,1,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,2,7,5,4,6,8] => [8,6,4,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,2,7,4,6,8] => [8,6,4,7,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,2,4,7,6,8] => [8,6,7,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,3,2,4,6,8] => [8,6,4,2,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,3,2,4,6,8] => [8,6,4,2,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,5,4,6,8] => [8,6,4,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,2,5,4,6,8] => [8,6,4,5,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,3,2,4,6,8] => [8,6,4,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,3,2,4,6,8] => [8,6,4,2,3,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,2,8,1,6] => [6,1,8,2,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,6,4,8,2,7,1] => [1,7,2,8,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,1,3,4,5,8,2,6] => [6,2,8,5,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,3,2,5,8,4,6] => [6,4,8,5,2,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,6,4,3,8,5,7,1] => [1,7,5,8,3,4,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,2,6,5,3,8,1,4] => [4,1,8,3,5,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,2,3,5,4,8,6,1] => [1,6,8,4,5,3,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,1,3,2,4,8,5,6] => [6,5,8,4,2,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,6,5,8,1,3,2,4] => [4,2,3,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[2,5,4,7,3,8,6,1] => [1,6,8,3,7,4,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,3,6,1,2,7,5,8] => [8,5,7,2,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,2,4,6,7,8] => [8,7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,7,4,5,2,8] => [8,2,5,4,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,4,2,6,7,8] => [8,7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,4,2,6,7,8] => [8,7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,1,3,7,5,8] => [8,5,7,3,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,3,7,5,8] => [8,5,7,3,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,7,6,5,2,8] => [8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,7,1,3,5,8] => [8,5,3,1,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,2,3,6,7,8] => [8,7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,4,7,8,1] => [1,8,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,1,7,5,4,2,8] => [8,2,4,5,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,3,2,6,7,8] => [8,7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,3,2,6,7,8] => [8,7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,5,8,2,3,7,1] => [1,7,3,2,8,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,2,5,8,3,4,7,1] => [1,7,4,3,8,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,4,7,3,5,8,6,1] => [1,6,8,5,3,7,4,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,5,3,7,1,8,4,6] => [6,4,8,1,7,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,6,5,1,7,3,8] => [8,3,7,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,2,1,6,8] => [8,6,1,2,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,2,5,8,7,1] => [1,7,8,5,2,6,4,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,6,2,7,3,1,5,8] => [8,5,1,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,3,7,8,2,6] => [6,2,8,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,7,6,3,1,5,8] => [8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,7,5,2,4,8] => [8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,1,3,6,4,8] => [8,4,6,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,6,5,8,2,4] => [4,2,8,5,6,7,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,4,7,5,2,1,3,8] => [8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,4,7,5,2,8] => [8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,3,5,2,8] => [8,2,5,3,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,2,7,4,1,8] => [8,1,4,7,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,2,6,3,1,8] => [8,1,3,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,6,3,1,8] => [8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,3,5,7,1,8] => [8,1,7,5,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,7,4,2,5,8] => [8,5,2,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,1,7,2,6,8] => [8,6,2,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,1,2,6,5,8] => [8,5,6,2,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,3,6,4,8] => [8,4,6,3,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,4,7,5,8,3,6] => [6,3,8,5,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,6,7,2,5,3,1,8] => [8,1,3,5,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,5,6,8,2,4] => [4,2,8,6,5,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,4,2,7,8,5,1] => [1,5,8,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,5,4,1,6,2,7,8] => [8,7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,8,4,7,1] => [1,7,4,8,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,2,6,4,8,3,7,1] => [1,7,3,8,4,6,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,1,7,5,2,3,6,8] => [8,6,3,2,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,8,3,5,1,6] => [6,1,5,3,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,7,5,2,1,8,3,4] => [4,3,8,1,2,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,4,6,2,8,5,1] => [1,5,8,2,6,4,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,5,2,6,8,3,7,1] => [1,7,3,8,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,7,4,6,2,8,5,1] => [1,5,8,2,6,4,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,4,6,3,2,8,5,1] => [1,5,8,2,3,6,4,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,1,2,4,3,6,7,5] => [5,7,6,3,4,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[6,5,3,8,4,2,7,1] => [1,7,2,4,8,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,7,3,5,6,2,8,1] => [1,8,2,6,5,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,2,7,5,1,8] => [8,1,5,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,2,1,7,4,8] => [8,4,7,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,2,8,1,4] => [4,1,8,2,3,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,7,3,2,8,1,4] => [4,1,8,2,3,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,4,2,3,8,6,1] => [1,6,8,3,2,4,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,4,3,6,2,1,7,5] => [5,7,1,2,6,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,6,3,2,1,5,7,8] => [8,7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,7,3,6,5,8] => [8,5,6,3,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,2,4,5,3,8] => [8,3,5,4,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,2,3,4,7,6] => [6,7,4,3,2,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,6,2,3,5,4,7] => [7,4,5,3,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,7,6,2,4,5,3,8] => [8,3,5,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,4,6,8,5,7,1] => [1,7,5,8,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,5,7,4,8,6,1] => [1,6,8,4,7,5,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,1,3,5,2,7,4,6] => [6,4,7,2,5,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,2,4,5,1,3,7,6] => [6,7,3,1,5,4,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,4,1,5,7,3,6] => [6,3,7,5,1,4,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,7,3,2,6,8,1,4] => [4,1,8,6,2,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,6,2,3,5,1,4,7] => [7,4,1,5,3,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,6,3,5,4,1,7] => [7,1,4,5,3,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,4,1,5,3,7] => [7,3,5,1,4,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,6,1,5,4,2,7] => [7,2,4,5,1,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,7,4,3,2,6,8] => [8,6,2,3,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,2,4,1,8] => [8,1,4,2,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,3,2,4,6,7] => [7,6,4,2,3,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,4,2,3,5,7] => [7,5,3,2,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,5,4,1,6,3,8] => [8,3,6,1,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,4,7,8,3,6] => [6,3,8,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,3,4,7,8,1,6] => [6,1,8,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,4,3,6,8,5,1] => [1,5,8,6,3,4,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,7,6,3,2,5,8,1] => [1,8,5,2,3,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,6,5,2,3,8,1] => [1,8,3,2,5,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,6,5,1,3,2,8] => [8,2,3,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,3,8,1,2] => [2,1,8,3,5,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,2,1,7,3,6,8] => [8,6,3,7,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,6,3,1,4,8] => [8,4,1,3,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,1,6,5,2,8] => [8,2,5,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,1,4,5,6,8] => [8,6,5,4,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,8,3,5,1,6] => [6,1,5,3,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,6,3,5,4,8] => [8,4,5,3,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,1,4,6,3,8] => [8,3,6,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,3,4,5,1,8] => [8,1,5,4,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,5,2,6,8] => [8,6,2,5,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,1,5,8,2,4] => [4,2,8,5,1,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,2,6,4,7,8,5,1] => [1,5,8,7,4,6,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,7,2,3,1,4,6,8] => [8,6,4,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,3,2,7,4,8] => [8,4,7,2,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,3,1,7,4,8] => [8,4,7,1,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,4,7,8,3,6] => [6,3,8,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,2,7,3,4,8,1] => [1,8,4,3,7,2,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,6,3,1,2,8] => [8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,1,5,7,3,8] => [8,3,7,5,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,3,5,6,8,1] => [1,8,6,5,3,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,2,3,1,5,6,8] => [8,6,5,1,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,4,8,2,6] => [6,2,8,4,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,6,7,2,5,8,1,4] => [4,1,8,5,2,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,1,8,4,3,5,6] => [6,5,3,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,6,3,5,8,1,4] => [4,1,8,5,3,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,1,6,7,3,8,2,4] => [4,2,8,3,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,1,5,4,7,3,2,8] => [8,2,3,7,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,2,3,7,4,8] => [8,4,7,3,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,5,4,3,2,8] => [8,2,3,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,1,6,4,3,8] => [8,3,4,6,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,7,5,3,2,8] => [8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,4,6,3,1,8] => [8,1,3,6,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,5,3,8,4,6] => [6,4,8,3,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,1,4,3,8,5,6] => [6,5,8,3,4,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,6,2,7,4,3,1,8] => [8,1,3,4,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,5,2,6,1,8] => [8,1,6,2,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,5,6,1,8] => [8,1,6,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,8,7,6,5,1,2,4] => [4,2,1,5,6,7,8,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[6,3,7,2,5,4,8,1] => [1,8,4,5,2,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,3,2,6,8,1] => [1,8,6,2,3,7,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,2,6,3,4,8,1] => [1,8,4,3,6,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,5,4,6,3,1,7] => [7,1,3,6,4,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,5,4,2,8,6,1] => [1,6,8,2,4,5,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,4,3,7,2,8,6,1] => [1,6,8,2,7,3,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,4,3,2,6,5,1,7] => [7,1,5,6,2,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,6,5,3,1,4,7] => [7,4,1,3,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,4,7,8,5,3,1,6] => [6,1,3,5,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,3,2,4,8,7,1] => [1,7,8,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[8,4,6,3,1,2,5,7] => [7,5,2,1,3,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,7,4,8,1,2,3,6] => [6,3,2,1,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,1,5,3,7,4,6] => [6,4,7,3,5,1,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,6,2,1,3,4,7,5] => [5,7,4,3,1,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[5,1,2,7,6,8,3,4] => [4,3,8,6,7,2,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,1,7,2,5,8,3,4] => [4,3,8,5,2,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,1,5,2,7,8,3,4] => [4,3,8,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,1,3,4,5,2,6] => [6,2,5,4,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,7,4,8,2,5,3,6] => [6,3,5,2,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,4,1,7,2,6,8] => [8,6,2,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,3,2,5,1,8] => [8,1,5,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,3,4,8,6,1] => [1,6,8,4,3,2,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,6,4,2,5,1,7,8] => [8,7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,4,7,5,2,8] => [8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,3,4,1,6,8] => [8,6,1,4,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,8,6,4,7,1] => [1,7,4,6,8,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,6,4,7,5,3,8,1] => [1,8,3,5,7,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,7,5,3,4,8,1] => [1,8,4,3,5,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,4,8,2,3,7,1] => [1,7,3,2,8,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,1,3,4,6,2,5,8] => [8,5,2,6,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,5,2,4,1,8] => [8,1,4,2,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,5,2,4,8,1] => [1,8,4,2,5,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,6,4,8,1,2] => [2,1,8,4,6,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,4,3,7,5,2,8,1] => [1,8,2,5,7,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,7,3,6,2,8,1] => [1,8,2,6,3,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,3,8,2,7,1] => [1,7,2,8,3,6,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,3,6,4,8,2,7,1] => [1,7,2,8,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,5,6,2,7,3,8,1] => [1,8,3,7,2,6,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,6,2,8,3,7,1] => [1,7,3,8,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,5,4,1,3,2,6,7] => [7,6,2,3,1,4,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,4,2,7,1,6,8] => [8,6,1,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,4,3,2,6,8] => [8,6,2,3,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,1,2,7,6,8] => [8,6,7,2,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,3,5,2,7,8] => [8,7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,3,2,6,4,8] => [8,4,6,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,4,2,1,6,8] => [8,6,1,2,4,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,4,1,3,5,8] => [8,5,3,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,1,3,7,8] => [8,7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,4,1,3,7,8] => [8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,7,2,5,3,8] => [8,3,5,2,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,5,4,6,3,8] => [8,3,6,4,5,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,6,5,3,7,8] => [8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,6,5,4,3,8] => [8,3,4,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,4,6,2,3,8] => [8,3,2,6,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,5,6,2,4,8] => [8,4,2,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,5,6,3,7,4] => [4,7,3,6,5,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,1,4,5,3,2,7,8] => [8,7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,1,5,2,3,7,4] => [4,7,3,2,5,1,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,3,5,2,4,8,6,1] => [1,6,8,4,2,5,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,3,5,1,2,6,4,7] => [7,4,6,2,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,3,1,5,4,2,7] => [7,2,4,5,1,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,5,4,1,3,2,7] => [7,2,3,1,4,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,6,7,4,3,8,5,1] => [1,5,8,3,4,7,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,2,4,7,3,8,6,1] => [1,6,8,3,7,4,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,7,2,8,1,5,4,6] => [6,4,5,1,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,6,4,2,3,5,7,8] => [8,7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,2,3,4,7,8] => [8,7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,5,2,3,4,8] => [8,4,3,2,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,7,2,3,4,8] => [8,4,3,2,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,6,2,3,4,8] => [8,4,3,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,5,2,3,4,8] => [8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,7,6,4,5,8] => [8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,2,3,7,6,8] => [8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,8,5,3,7,1] => [1,7,3,5,8,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,8,5,2,7,1] => [1,7,2,5,8,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,4,6,3,5,7,8,1] => [1,8,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,2,5,7,8,1] => [1,8,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,2,5,7,8,1] => [1,8,7,5,2,6,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,4,2,6,3,1,8] => [8,1,3,6,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,8,4,3,1,6] => [6,1,3,4,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,5,2,6,1,8] => [8,1,6,2,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,3,2,6,1,8] => [8,1,6,2,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,6,1,3,2,5,8] => [8,5,2,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,5,6,3,4,8] => [8,4,3,6,5,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,2,3,7,8,1] => [1,8,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,1,3,6,8,2,4] => [4,2,8,6,3,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,3,1,7,8,2,4] => [4,2,8,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,3,8,2,6,7,1] => [1,7,6,2,8,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,8,6,4,7,1] => [1,7,4,6,8,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,7,4,8,1,6] => [6,1,8,4,7,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,2,3,7,8,5,1] => [1,5,8,7,3,2,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,7,2,8,4,5,1,6] => [6,1,5,4,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,4,5,1,6,2,8] => [8,2,6,1,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,5,1,6,3,8] => [8,3,6,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,1,6,3,2,8] => [8,2,3,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,1,2,5,7,4,6] => [6,4,7,5,2,1,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[2,3,5,7,4,6,8,1] => [1,8,6,4,7,5,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,7,2,8,1,6] => [6,1,8,2,7,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,2,7,4,8,3,6] => [6,3,8,4,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,7,5,8,3,6] => [6,3,8,5,7,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,7,8,4,5,3,6] => [6,3,5,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,6,2,7,1,5,4,8] => [8,4,5,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,7,6,8,2,4] => [4,2,8,6,7,3,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,2,5,7,6,8,1,4] => [4,1,8,6,7,5,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,2,7,4,8,5,1] => [1,5,8,4,7,2,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,3,2,6,8,4,7,1] => [1,7,4,8,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,5,2,7,3,8,1,4] => [4,1,8,3,7,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,2,6,7,3,1,8] => [8,1,3,7,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,6,3,1,8] => [8,1,3,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,7,2,4,1,8] => [8,1,4,2,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,8,2,5,7,1] => [1,7,5,2,8,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,3,6,2,4,8,5,1] => [1,5,8,4,2,6,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,3,7,5,6,2,8,1] => [1,8,2,6,5,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,1,2,7,5,8,3,6] => [6,3,8,5,7,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,2,3,4,7,1,5,6] => [6,5,1,7,4,3,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,6,1,5,4,3,2,7] => [7,2,3,4,5,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,5,6,7,3,8,2,4] => [4,2,8,3,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,2,4,3,1,5,6,7] => [7,6,5,1,3,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,3,6,4,8,5,1] => [1,5,8,4,6,3,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,2,7,6,4,8,5,1] => [1,5,8,4,6,7,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,4,1,7,6,3,2,8] => [8,2,3,6,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,5,3,2,8] => [8,2,3,5,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,6,1,4,3,2,7] => [7,2,3,4,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,7,6,1,4,3,2,8] => [8,2,3,4,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,1,4,3,2,8] => [8,2,3,4,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,5,1,4,3,2,7] => [7,2,3,4,1,5,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,1,5,2,7,6,4,8] => [8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,4,5,2,7,8] => [8,7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,4,5,7,2,8] => [8,2,7,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,7,4,2,8,1] => [1,8,2,4,7,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,7,3,5,1,2,8] => [8,2,1,5,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,7,1,6,8] => [8,6,1,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,7,8,1,6] => [6,1,8,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,4,2,5,1,6,8] => [8,6,1,5,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,5,2,1,4,8] => [8,4,1,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,8,2,1,3,6] => [6,3,1,2,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,5,3,2,6,4,7] => [7,4,6,2,3,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,1,5,4,3,2,8] => [8,2,3,4,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,7,4,6,2,8] => [8,2,6,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,2,5,1,3,8] => [8,3,1,5,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,1,4,6,3,8] => [8,3,6,4,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,1,3,7,8] => [8,7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,7,1,4,2,8] => [8,2,4,1,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,2,4,1,3,8] => [8,3,1,4,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,8,4,3,5,6] => [6,5,3,4,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,5,3,4,7,8,2,6] => [6,2,8,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,1,5,7,8,3,6] => [6,3,8,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,4,3,7,1,6,8] => [8,6,1,7,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,5,8,4,6] => [6,4,8,5,7,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,3,1,7,8,4,6] => [6,4,8,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,6,3,7,8,2,4] => [4,2,8,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,4,2,6,3,8,1] => [1,8,3,6,2,4,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,8,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,8,7] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[9,7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[8,2,4,6,3,7,5,1] => [1,5,7,3,6,4,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[1,4,6,2,7,5,3,8] => [8,3,5,7,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,2,5,6,4,8] => [8,4,6,5,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,5,3,4,6,8] => [8,6,4,3,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,6,2,8,5,1] => [1,5,8,2,6,7,4,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,3,6,2,7,5,4,8] => [8,4,5,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,7,5,4,3,8] => [8,3,4,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,6,5,4,3,8] => [8,3,4,5,6,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,2,1,6,3,8] => [8,3,6,1,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,1,5,3,2,8] => [8,2,3,5,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,6,3,8,1] => [1,8,3,6,2,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,4,1,7,5,2,6] => [6,2,5,7,1,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[5,2,6,3,4,7,8,1] => [1,8,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,2,3,5,7,8,1] => [1,8,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,6,7,2,5,8,1] => [1,8,5,2,7,6,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,4,7,5,8,1] => [1,8,5,7,4,6,3,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,7,3,5,6,8,1] => [1,8,6,5,3,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,3,1,6,2,7,5] => [5,7,2,6,1,3,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,2,1,5,3,6,7,8] => [8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,5,4,3,1,7] => [7,1,3,4,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,1,8,2,5,4,6] => [6,4,5,2,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,8,2,3,5,4,1,6] => [6,1,4,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,1,3,2,6,7,4,8] => [8,4,7,6,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,5,2,6,7,8] => [8,7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,1,7,3,2,8] => [8,2,3,7,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,1,7,4,8] => [8,4,7,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,7,1,5,6,8] => [8,6,5,1,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,6,3,8,1,2] => [2,1,8,3,6,7,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,2,8,5,1,4,6] => [6,4,1,5,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,6,5,3,7,8,2,4] => [4,2,8,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,5,2,4,7,1,8] => [8,1,7,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,1,4,3,7,8] => [8,7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,3,4,6,1,8] => [8,1,6,4,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,5,1,3,7,2,6] => [6,2,7,3,1,5,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,1,7,6,3,4,2,8] => [8,2,4,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,5,1,8,4,6] => [6,4,8,1,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,7,8,3,4,2,6] => [6,2,4,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,6,8,3,1,2,4] => [4,2,1,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[3,5,6,8,4,2,7,1] => [1,7,2,4,8,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,2,8,5,7,1] => [1,7,5,8,2,6,3,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,6,2,3,5,1,7,8] => [8,7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,7,4,3,6,8] => [8,6,3,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,5,2,7,4,8] => [8,4,7,2,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,5,3,4,7,8] => [8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,6,8,3,4] => [4,3,8,6,5,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,2,4,5,3,7,8] => [8,7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,2,5,3,4,8] => [8,4,3,5,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,8,2,4,5,6] => [6,5,4,2,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,1,4,7,2,5,6] => [6,5,2,7,4,1,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,1,2,4,3,7,6] => [6,7,3,4,2,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,1,6,2,5,7,4,8] => [8,4,7,5,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,2,5,6,4,8] => [8,4,6,5,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,1,6,3,5,8] => [8,5,3,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,1,4,5,7,8] => [8,7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,2,3,5,1,7,4] => [4,7,1,5,3,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,1,4,3,2,8,5,6] => [6,5,8,2,3,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,2,7,5,4,1,3,8] => [8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,7,2,4,8,1] => [1,8,4,2,7,3,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,2,3,8,6,7,1] => [1,7,6,8,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,1,3,6,2,7,4,8] => [8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,2,5,8,3,4] => [4,3,8,5,2,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,2,3,6,8,7,1] => [1,7,8,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,6,3,5,2,8,7,1] => [1,7,8,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[4,7,5,2,3,8,6,1] => [1,6,8,3,2,5,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,4,7,3,2,5,8,1] => [1,8,5,2,3,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,2,5,8,6,1] => [1,6,8,5,2,7,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,7,3,2,5,8,6,1] => [1,6,8,5,2,3,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,7,3,2,6,8,5,1] => [1,5,8,6,2,3,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,4,2,6,3,7,5,1] => [1,5,7,3,6,2,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,7,6,2,3,8,5,1] => [1,5,8,3,2,6,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,6,3,2,5,8,1,4] => [4,1,8,5,2,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,4,6,5,8,3,7,1] => [1,7,3,8,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,6,4,2,5,3,7,8] => [8,7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,2,4,5,7,8] => [8,7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,4,6,3,7,8] => [8,7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,4,5,6,7,9,1] => [1,9,7,6,5,4,3,2,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[9,2,3,4,5,6,7,8,10,1] => [1,10,8,7,6,5,4,3,2,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,5,6,3,4,7,1,8] => [8,1,7,4,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,3,4,2,7,8] => [8,7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,6,4,2,7,8] => [8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,7,4,6,2,8] => [8,2,6,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,3,7,4,2,8] => [8,2,4,7,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,6,3,2,1,8] => [8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,3,6,1,8] => [8,1,6,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,7,6,4,1,8] => [8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,3,5,4,1,8] => [8,1,4,5,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,5,3,4,1,8] => [8,1,4,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,5,4,1,3,7] => [7,3,1,4,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,2,1,7,4,5,3,8] => [8,3,5,4,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,3,2,6,1,4] => [4,1,6,2,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[2,6,7,5,4,1,3,8] => [8,3,1,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,5,6,8,1,2] => [2,1,8,6,5,7,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,3,6,5,7,8,1,4] => [4,1,8,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,5,2,3,8,6,7,1] => [1,7,6,8,3,2,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,6,7,2,4,3,8,1] => [1,8,3,4,2,7,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,1,4,5,8,2,6] => [6,2,8,5,4,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,2,3,7,6,5,8] => [8,5,6,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,7,2,8,1,6] => [6,1,8,2,7,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,7,8,3,5,2,6] => [6,2,5,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,2,3,1,8,4,6] => [6,4,8,1,3,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,5,2,4,1,3,6] => [6,3,1,4,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[4,7,1,2,6,3,5,8] => [8,5,3,6,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,1,6,3,5,8] => [8,5,3,6,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,4,1,5,6,8] => [8,6,5,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,4,6,7,8,1] => [1,8,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,7,4,6,8,1] => [1,8,6,4,7,3,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,4,8,5,7,1] => [1,7,5,8,4,3,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,5,3,2,1,6,7,4] => [4,7,6,1,2,3,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,2,5,3,6,7,4] => [4,7,6,3,5,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,4,6,1,7,2,3,8] => [8,3,2,7,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,4,5,6,2,8] => [8,2,6,5,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,8,3,7,1] => [1,7,3,8,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,7,3,2,4,6,5,8] => [8,5,6,4,2,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,1,7,4,6,5,8] => [8,5,6,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,3,2,6,4,8] => [8,4,6,2,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,2,6,4,8] => [8,4,6,2,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,4,3,5,7,8] => [8,7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,4,6,5,2,7] => [7,2,5,6,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,3,5,6,2,7] => [7,2,6,5,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,2,1,6,4,7] => [7,4,6,1,2,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,1,7,6,4,2,8] => [8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,3,1,4,2,8] => [8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,5,4,6,3,8] => [8,3,6,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,8,4,5,7,3,2,1] => [1,2,3,7,5,4,8,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[5,2,1,3,6,7,4,8] => [8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,1,7,5,6,8] => [8,6,5,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,1,4,7,5,6] => [6,5,7,4,1,3,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,1,2,3,5,4,6,8] => [8,6,4,5,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,4,3,5,6,8] => [8,6,5,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,5,1,2,8] => [8,2,1,5,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,6,3,7,1,4,8] => [8,4,1,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,1,5,2,4,7] => [7,4,2,5,1,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,1,3,2,4,5,7] => [7,5,4,2,3,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,3,5,2,4,6,7] => [7,6,4,2,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,5,7,3,6,8,2,4] => [4,2,8,6,3,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,4,5,1,7,6,3,8] => [8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,2,1,5,8] => [8,5,1,2,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,3,1,5,2,8] => [8,2,5,1,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,1,7,4,8] => [8,4,7,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,3,1,6,4,2,7] => [7,2,4,6,1,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,5,3,7,4,2,1,8] => [8,1,2,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,5,3,6,1,8] => [8,1,6,3,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,7,4,6,3,8] => [8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,3,4,6,8,1] => [1,8,6,4,3,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,7,4,2,5,8,1] => [1,8,5,2,4,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,7,2,5,8,1] => [1,8,5,2,7,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,6,1,2,4,3,8] => [8,3,4,2,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,7,2,5,4,8] => [8,4,5,2,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,4,6,7,8] => [8,7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,7,6,4,5,8] => [8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,5,6,1,7,4] => [4,7,1,6,5,3,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[2,7,5,8,3,1,4,6] => [6,4,1,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,5,6,3,4,8,1] => [1,8,4,3,6,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,5,6,3,1,4,8] => [8,4,1,3,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,6,3,1,2,8] => [8,2,1,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,3,6,1,2,8] => [8,2,1,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,3,1,4,2,8] => [8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,3,1,6,2,8] => [8,2,6,1,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,1,6,4,8] => [8,4,6,1,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,6,1,4,8] => [8,4,1,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,6,4,8,1] => [1,8,4,6,3,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,5,3,1,8,2,6] => [6,2,8,1,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,5,3,1,8,2,4] => [4,2,8,1,3,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,5,3,6,8,1,2] => [2,1,8,6,3,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,7,5,3,6,8,1,4] => [4,1,8,6,3,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,5,3,4,8,1,6] => [6,1,8,4,3,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,5,3,4,8,6,1] => [1,6,8,4,3,5,7,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,7,5,3,4,6,8,1] => [1,8,6,4,3,5,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,5,3,4,6,1,8] => [8,1,6,4,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,4,1,6,8] => [8,6,1,4,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,3,1,4,6,8] => [8,6,4,1,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,3,1,2,6,8] => [8,6,2,1,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,8,4,2,3,6] => [6,3,2,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,3,6,4,2,5,7,8] => [8,7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,8,2,4,3,6] => [6,3,4,2,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,1,7,3,2,6,8] => [8,6,2,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,1,4,2,7,8] => [8,7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,8,4,2,7,1] => [1,7,2,4,8,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,2,7,5,8,1] => [1,8,5,7,2,3,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,7,1,6,3,4,8] => [8,4,3,6,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,3,4,8,5,6] => [6,5,8,4,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,6,4,7,3,1,5,8] => [8,5,1,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,7,3,8,5,1] => [1,5,8,3,7,4,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,1,6,2,3,4,7,5] => [5,7,4,3,2,6,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[1,6,7,2,4,3,5,8] => [8,5,3,4,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,7,3,6,2,8] => [8,2,6,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,7,2,8,5,6] => [6,5,8,2,7,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,3,5,2,4,7,1,8] => [8,1,7,4,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,7,6,1,2,8] => [8,2,1,6,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,3,2,7,6,8] => [8,6,7,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,1,8,5,6] => [6,5,8,1,2,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,6,3,1,7,2,8] => [8,2,7,1,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,1,6,7,2,8] => [8,2,7,6,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,4,5,7,3,2,6] => [6,2,3,7,5,4,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[1,6,3,7,4,5,2,8] => [8,2,5,4,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,7,4,8,5,1] => [1,5,8,4,7,3,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,5,2,7,6,3,4,8] => [8,4,3,6,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,3,1,7,4,8] => [8,4,7,1,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,6,1,4,3,8] => [8,3,4,1,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,2,5,7,3,8] => [8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,4,5,3,7,8] => [8,7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,2,4,6,3,8] => [8,3,6,4,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,4,1,3,2,8] => [8,2,3,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,1,4,6,5,8] => [8,5,6,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,4,3,2,5,8] => [8,5,2,3,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,4,8,7,1] => [1,7,8,4,6,2,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[2,4,5,3,8,6,7,1] => [1,7,6,8,3,5,4,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,3,5,2,8,6,7,1] => [1,7,6,8,2,5,3,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,5,2,4,3,8,6,1] => [1,6,8,3,4,2,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,3,5,8,4,6,7,1] => [1,7,6,4,8,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,5,2,8,4,6,7,1] => [1,7,6,4,8,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,8,2,6,7,1] => [1,7,6,2,8,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,4,2,8,3,6,7,1] => [1,7,6,3,8,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,3,4,8,2,6,7,1] => [1,7,6,2,8,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,8,3,6,7,1] => [1,7,6,3,8,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,3,2,5,8,4,7,1] => [1,7,4,8,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,1,2,7,3,5,4,8] => [8,4,5,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,2,7,1,6,8] => [8,6,1,7,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,2,3,1,5,7] => [7,5,1,3,2,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,6,3,4,1,7] => [7,1,4,3,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,4,5,2,8,6,7,1] => [1,7,6,8,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,7,4,2,1,5,3,8] => [8,3,5,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,1,3,6,2,8] => [8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,5,1,8,3,6] => [6,3,8,1,5,7,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,6,2,4,1,7,5] => [5,7,1,4,2,6,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,6,1,2,5,7,4,8] => [8,4,7,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,7,4,1,8] => [8,1,4,7,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,3,7,5,8,1] => [1,8,5,7,3,4,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,5,6,1,2,8,3,4] => [4,3,8,2,1,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,6,5,7,1,2,8] => [8,2,1,7,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,5,6,3,1,8] => [8,1,3,6,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,6,3,4,2,8] => [8,2,4,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,4,3,6,1,7] => [7,1,6,3,4,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,2,4,1,6,5,8] => [8,5,6,1,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,1,6,3,8] => [8,3,6,1,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,8,5,3,1,6] => [6,1,3,5,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,1,3,6,8,2,4] => [4,2,8,6,3,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,1,3,5,4,2,6] => [6,2,4,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,5,6,4,2,3,7,8] => [8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,2,7,8,4,6] => [6,4,8,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,7,2,6,4,1,8] => [8,1,4,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,5,3,4,1,8] => [8,1,4,3,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,4,5,3,1,8] => [8,1,3,5,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,2,3,5,1,8] => [8,1,5,3,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,4,3,5,1,8] => [8,1,5,3,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,3,5,4,1,8] => [8,1,4,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,4,2,1,6,7] => [7,6,1,2,4,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,8,4,3,1,5,2,6] => [6,2,5,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,5,6,1,3,4,2,8] => [8,2,4,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,1,3,4,2,6] => [6,2,4,3,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,5,1,3,4,2,6,8] => [8,6,2,4,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,4,8,1,2] => [2,1,8,4,6,5,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,1,5,3,6,2,4,8] => [8,4,2,6,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,8,3,4,2,6] => [6,2,4,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,5,6,3,4,2,8] => [8,2,4,3,6,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,4,1,2,8] => [8,2,1,4,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,8,4,1,2,6] => [6,2,1,4,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,1,2,5,8,4,6] => [6,4,8,5,2,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,2,7,5,8,4,6] => [6,4,8,5,7,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,3,1,5,4,6,2,8] => [8,2,6,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,2,6,4,8] => [8,4,6,2,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,4,2,3,1,8] => [8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,4,2,8,1,6] => [6,1,8,2,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,2,4,3,8,1,6] => [6,1,8,3,4,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,5,7,1,6,4,8] => [8,4,6,1,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,2,6,1,4,8] => [8,4,1,6,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,5,6,4,3,8] => [8,3,4,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,4,1,7,2,8] => [8,2,7,1,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,1,7,4,3,8] => [8,3,4,7,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[10,8,6,4,2,1,3,5,7,9] => [9,7,5,3,1,2,4,6,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[1,2,7,8,4,3,5,6] => [6,5,3,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,3,6,4,5,1,7] => [7,1,5,4,6,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,6,3,5,1,7] => [7,1,5,3,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,6,5,2,3,7] => [7,3,2,5,6,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,5,6,1,4,2,7] => [7,2,4,1,6,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,2,4,7,5,8,1,6] => [6,1,8,5,7,4,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,8,7,6,5,3,1,4] => [4,1,3,5,6,7,8,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(7,3),(7,4),(7,5)],8) => 4

[3,8,7,6,4,2,5,1] => [1,5,2,4,6,7,8,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,2,4,7,6,8,1] => [1,8,6,7,4,2,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,6,4,7,8,1] => [1,8,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,6,7,4,8,1] => [1,8,4,7,6,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,2,7,6,4,8,1] => [1,8,4,6,7,2,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,5,7,4,6,8,1] => [1,8,6,4,7,5,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,5,2,4,8,6,1] => [1,6,8,4,2,5,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,7,1,2,6,8,3,4] => [4,3,8,6,2,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,4,3,1,8,5,6] => [6,5,8,1,3,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,6,4,1,2,5,3,7] => [7,3,5,2,1,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,4,1,5,3,2,8] => [8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,5,3,8,1,6] => [6,1,8,3,5,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,2,5,6,7,3,1] => [1,3,7,6,5,2,4,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[4,5,7,3,6,8,1,2] => [2,1,8,6,3,7,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,3,7,6,5,1,4,8] => [8,4,1,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,5,7,1,4,8] => [8,4,1,7,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,4,1,5,7,8] => [8,7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,6,1,8,3,4] => [4,3,8,1,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,1,5,2,6,3,4,8] => [8,4,3,6,2,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,1,6,5,2,8] => [8,2,5,6,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,7,1,5,2,8] => [8,2,5,1,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,1,4,5,2,8] => [8,2,5,4,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,6,5,8,1,4] => [4,1,8,5,6,7,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,2,5,3,6,4,1,8] => [8,1,4,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,3,7,4,1,8] => [8,1,4,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,3,7,5,1,8] => [8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,3,6,4,1,8] => [8,1,4,6,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,3,6,5,2,8] => [8,2,5,6,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,3,1,6,4,8] => [8,4,6,1,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,4,1,6,5,8] => [8,5,6,1,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,3,1,6,4,8] => [8,4,6,1,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,5,3,7,4,8] => [8,4,7,3,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,2,6,4,3,8] => [8,3,4,6,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,4,6,2,8] => [8,2,6,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,5,1,6,4,8] => [8,4,6,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,8,4,5,7,1] => [1,7,5,4,8,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,8,7,6,5,4,3,9,1] => [1,9,3,4,5,6,7,8,2] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[2,6,1,5,4,7,3,8] => [8,3,7,4,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,5,7,8,1,2] => [2,1,8,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,6,5,2,1,4,8] => [8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,6,1,8,2,4] => [4,2,8,1,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,3,5,2,6,1,4,7] => [7,4,1,6,2,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,2,4,6,1,5,8] => [8,5,1,6,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,10,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,10,9] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[6,4,7,3,2,1,5,8] => [8,5,1,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,1,7,4,8] => [8,4,7,1,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,7,2,1,6,8] => [8,6,1,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,4,5,2,8,1] => [1,8,2,5,4,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,4,6,2,8,1] => [1,8,2,6,4,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,6,2,4,8,1] => [1,8,4,2,6,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,7,3,5,2,8,1] => [1,8,2,5,3,7,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,6,4,2,8,1] => [1,8,2,4,6,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,7,6,5,8,1,4] => [4,1,8,5,6,7,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,7,4,5,8,3,6] => [6,3,8,5,4,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,3,2,5,8,1,4] => [4,1,8,5,2,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[10,1,5,2,3,4,6,7,8,9] => [9,8,7,6,4,3,2,5,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[10,1,2,5,3,4,6,7,8,9] => [9,8,7,6,4,3,5,2,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[8,6,3,2,1,5,4,7] => [7,4,5,1,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,2,4,1,7,6] => [6,7,1,4,2,3,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,5,2,4,3,6,8,1] => [1,8,6,3,4,2,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,3,6,1,5,2,7] => [7,2,5,1,6,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,4,2,1,3,7,6] => [6,7,3,1,2,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,2,6,4,3,5,8,1] => [1,8,5,3,4,6,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,6,2,4,5,8,1] => [1,8,5,4,2,6,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,5,1,3,2,4,8] => [8,4,2,3,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,3,4,6,1,8] => [8,1,6,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,4,2,5,3,1,8] => [8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,6,3,2,4,8] => [8,4,2,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,1,6,3,4,8] => [8,4,3,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,5,4,2,3,8] => [8,3,2,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,1,4,7,3,8] => [8,3,7,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,7,1,4,5,8] => [8,5,4,1,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,5,4,1,6,7] => [7,6,1,4,5,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,7,6,5,3,2,4,8] => [8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,4,1,3,8] => [8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,6,4,1,7,8] => [8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,1,3,2,4,5,6,7,8] => [8,7,6,5,4,2,3,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[4,3,7,2,1,8,5,6] => [6,5,8,1,2,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,4,3,2,8,5,6] => [6,5,8,2,3,4,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,3,6,4,2,5,1,8] => [8,1,5,2,4,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,2,6,1,8] => [8,1,6,2,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,8,5,4,3,6] => [6,3,4,5,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,5,2,6,4,1,8] => [8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,1,4,7,3,6] => [6,3,7,4,1,5,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,3,6,4,2,5,7] => [7,5,2,4,6,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,2,4,6,7,5] => [5,7,6,4,2,1,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,3,2,4,6,5,7] => [7,5,6,4,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,5,4,3,2,7] => [7,2,3,4,5,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,5,2,6,1,4,8] => [8,4,1,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,2,7,3,1,8] => [8,1,3,7,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,7,1,6,2,8] => [8,2,6,1,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,2,5,4,8,1] => [1,8,4,5,2,3,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,3,2,5,4,1,7] => [7,1,4,5,2,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,4,1,6,7,5,3,8] => [8,3,5,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,1,5,2,4,8] => [8,4,2,5,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,5,1,8,4,6] => [6,4,8,1,5,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,1,4,2,3,5,6] => [6,5,3,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[8,5,2,4,1,3,7,6] => [6,7,3,1,4,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[5,2,1,4,3,7,6,8] => [8,6,7,3,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,8,3,2,1,6] => [6,1,2,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,5,7,8,3,2,1,6] => [6,1,2,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,3,4,2,6,8,1] => [1,8,6,2,4,3,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,2,3,6,8,1] => [1,8,6,3,2,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,3,2,8,1,6] => [6,1,8,2,3,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,4,7,8,2,1,3,6] => [6,3,1,2,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,1,3,7,2,6,5,8] => [8,5,6,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,3,2,8,5,7,1] => [1,7,5,8,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,4,3,7,2,6,8,1] => [1,8,6,2,7,3,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,7,2,1,6,8] => [8,6,1,2,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,6,7,8,2,9,1] => [1,9,2,8,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[8,2,3,5,6,1,4,7] => [7,4,1,6,5,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,3,5,6,8,2,7,1] => [1,7,2,8,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,2,1,4,6,3,7,5] => [5,7,3,6,4,1,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,8,1,3,5,2,4,6] => [6,4,2,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[1,3,7,8,5,2,4,6] => [6,4,2,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,7,6,4,8,1,2] => [2,1,8,4,6,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[1,3,7,8,5,4,2,6] => [6,2,4,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,3,7,8,2,5,4,6] => [6,4,5,2,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,5,7,4,6,8,1,2] => [2,1,8,6,4,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,4,2,1,3,6,5,8] => [8,5,6,3,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,1,5,2,4,8] => [8,4,2,5,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,8,5,4,1,6] => [6,1,4,5,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,4,7,3,2,6,5,8] => [8,5,6,2,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,2,4,5,6,8] => [8,6,5,4,2,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,5,3,1,7,8] => [8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,3,1,6,8] => [8,6,1,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,3,7,5,4,6,8] => [8,6,4,5,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,5,7,3,4,8] => [8,4,3,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,5,2,7,4,8] => [8,4,7,2,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,1,7,3,4,8] => [8,4,3,7,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,4,7,5,1,8] => [8,1,5,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,7,4,8,1,6] => [6,1,8,4,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,2,4,1,7,6,5] => [5,6,7,1,4,2,3,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[5,3,4,6,2,8,7,1] => [1,7,8,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[6,5,2,3,7,4,1,8] => [8,1,4,7,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,7,4,1,2,8] => [8,2,1,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,5,3,8,1,2] => [2,1,8,3,5,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[2,5,6,3,7,4,1,8] => [8,1,4,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,7,5,6,2,8] => [8,2,6,5,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,1,5,7,3,8] => [8,3,7,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,5,3,6,2,8] => [8,2,6,3,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,4,5,3,6,8] => [8,6,3,5,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,2,7,5,8,1,6] => [6,1,8,5,7,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,5,3,2,4,7,6] => [6,7,4,2,3,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[2,4,7,6,3,8,5,1] => [1,5,8,3,6,7,4,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,2,6,3,4,1,7,5] => [5,7,1,4,3,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,2,5,8,3,6,7,1] => [1,7,6,3,8,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,6,8,4,7,1] => [1,7,4,8,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,2,3,4,7,8,5,1] => [1,5,8,7,4,3,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,4,3,2,5,8,1,6] => [6,1,8,5,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,7,6,2,3,5,4,8] => [8,4,5,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,3,1,7,4,6] => [6,4,7,1,3,5,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,7,6,1,2,8,3,4] => [4,3,8,2,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,7,4,6,3,5,1,8] => [8,1,5,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,8,2,4,7,1] => [1,7,4,2,8,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[1,7,4,8,5,2,3,6] => [6,3,2,5,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,2,6,3,4,8,1] => [1,8,4,3,6,2,5,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,5,2,4,6,7,3,1] => [1,3,7,6,4,2,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[3,4,6,5,8,2,7,1] => [1,7,2,8,5,6,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,3,4,5,2,1,7,6] => [6,7,1,2,5,4,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[6,3,4,7,2,1,5,8] => [8,5,1,2,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,7,2,4,8,1] => [1,8,4,2,7,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,6,7,2,4,1,8] => [8,1,4,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,7,4,1,2,8] => [8,2,1,4,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,6,4,8,1,2] => [2,1,8,4,6,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,5,2,6,3,8,7,1] => [1,7,8,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,4,5,8,6,2,7,1] => [1,7,2,6,8,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,6,3,4,8,7,1] => [1,7,8,4,3,6,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,6,2,5,8,1,4] => [4,1,8,5,2,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,1,8,5,4,2,6] => [6,2,4,5,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,1,4,2,3,6,8] => [8,6,3,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,2,5,3,4,8] => [8,4,3,5,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,2,5,3,4,7] => [7,4,3,5,2,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,3,1,2,7,4,5,8] => [8,5,4,7,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,4,2,3,5,8] => [8,5,3,2,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,1,6,5,8] => [8,5,6,1,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,8,1,3,2,6] => [6,2,3,1,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,5,7,1,4,6,3,8] => [8,3,6,4,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,1,6,3,5,8] => [8,5,3,6,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,3,1,4,6,8] => [8,6,4,1,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,7,1,8,2,4] => [4,2,8,1,7,5,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,3,6,4,7,1,2,8] => [8,2,1,7,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,4,7,2,3,8] => [8,3,2,7,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,4,8,3,1,2,6] => [6,2,1,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,1,4,2,5,3,7] => [7,3,5,2,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,2,5,7,3,1,6,8] => [8,6,1,3,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,5,2,1,6,8] => [8,6,1,2,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,5,7,3,2,6,8] => [8,6,2,3,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,4,7,2,6,8] => [8,6,2,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,4,7,8,3,6] => [6,3,8,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,1,6,4,2,7,8] => [8,7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,1,7,2,5,8] => [8,5,2,7,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,7,4,5,1,8] => [8,1,5,4,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,5,7,1,4,8] => [8,4,1,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,7,1,4,8] => [8,4,1,7,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,2,5,7,4,8] => [8,4,7,5,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,1,4,3,7,8] => [8,7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,5,2,7,3,8] => [8,3,7,2,5,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,3,7,2,4,8] => [8,4,2,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,4,7,5,3,6,8] => [8,6,3,5,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,6,5,1,2,8] => [8,2,1,5,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,6,1,8,2,4] => [4,2,8,1,6,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,6,2,5,7,3,8,1] => [1,8,3,7,5,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,1,4,2,3,7,8] => [8,7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,2,6,4,7,8] => [8,7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,8,6,4,7,1] => [1,7,4,6,8,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,5,2,3,6,1,4,8] => [8,4,1,6,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,2,4,8,3,6] => [6,3,8,4,2,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,1,6,3,2,4,5,8] => [8,5,4,2,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,1,5,2,3,8] => [8,3,2,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,2,4,7,3,8] => [8,3,7,4,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,5,2,6,8,1] => [1,8,6,2,5,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,4,2,5,7,3,6] => [6,3,7,5,2,4,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[6,3,5,2,4,1,7,8] => [8,7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,7,3,6,1,8] => [8,1,6,3,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,3,4,2,7,8] => [8,7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,3,2,6,1,8] => [8,1,6,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,2,1,6,3,8] => [8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,7,3,6,2,8] => [8,2,6,3,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,3,5,2,1,8] => [8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,4,2,8,5,1] => [1,5,8,2,4,7,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,6,3,2,7,8,5,1] => [1,5,8,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,6,1,3,4,2,5,8] => [8,5,2,4,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,4,5,6,3,8] => [8,3,6,5,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,3,1,5,4,8] => [8,4,5,1,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,3,6,1,7,4] => [4,7,1,6,3,5,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,1,6,4,7,3,2,8] => [8,2,3,7,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,3,4,1,6,7] => [7,6,1,4,3,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,6,4,5,2,3,7] => [7,3,2,5,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,1,2,3,7,5] => [5,7,3,2,1,4,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,6,4,2,5,3,1,7] => [7,1,3,5,2,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,1,5,2,3,7] => [7,3,2,5,1,4,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,4,5,2,7,3,1] => [1,3,7,2,5,4,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[8,6,4,2,5,7,3,1] => [1,3,7,5,2,4,6,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[5,7,4,2,3,8,6,1] => [1,6,8,3,2,4,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => 1

[3,2,7,6,4,5,8,1] => [1,8,5,4,6,7,2,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,8,1,3,2,6] => [6,2,3,1,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,8,1,5,2,6] => [6,2,5,1,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,1,5,3,8,4,6] => [6,4,8,3,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,6,3,7,2,5,4,8] => [8,4,5,2,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,8,4,1,3,6] => [6,3,1,4,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,4,2,7,1,6,5,8] => [8,5,6,1,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,5,7,6,3,8] => [8,3,6,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,6,3,2,4,8] => [8,4,2,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,6,4,3,5,8] => [8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,6,4,2,5,8] => [8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,3,2,7,5,8] => [8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,6,4,2,3,8] => [8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,5,2,7,4,8] => [8,4,7,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,8,4,2,3,6] => [6,3,2,4,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,1,4,2,6,5,8] => [8,5,6,2,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,3,2,5,4,8] => [8,4,5,2,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,4,2,5,3,8] => [8,3,5,2,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,2,5,3,8] => [8,3,5,2,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,5,1,4,3,8] => [8,3,4,1,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,7,2,6,4,8] => [8,4,6,2,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,4,2,7,3,8] => [8,3,7,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,3,1,6,5,7] => [7,5,6,1,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,2,3,6,5,1,7] => [7,1,5,6,3,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,1,4,3,7,5] => [5,7,3,4,1,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,2,6,3,5,8,1,4] => [4,1,8,5,3,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,4,2,7,8,5,1] => [1,5,8,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,1,4,6,5,3,2,7] => [7,2,3,5,6,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,2,3,4,7,6] => [6,7,4,3,2,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,3,2,6,4,5,7] => [7,5,4,6,2,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,5,3,2,6,4,1,8] => [8,1,4,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,2,1,5,6,8] => [8,6,5,1,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,4,5,3,1,8] => [8,1,3,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,5,1,2,8] => [8,2,1,5,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,6,3,5,2,8] => [8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,7,5,6,4,8] => [8,4,6,5,7,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,4,7,2,3,8] => [8,3,2,7,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,8,3,2,5,6] => [6,5,2,3,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,1,5,3,7,8,2,4] => [4,2,8,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,2,1,4,3,6,8] => [8,6,3,4,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,5,6,1,4,8] => [8,4,1,6,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,3,4,5,2,8] => [8,2,5,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,8,5,3,7,1] => [1,7,3,5,8,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,7,3,4,5,8,6,1] => [1,6,8,5,4,3,7,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,4,3,1,7,2,5,6] => [6,5,2,7,1,3,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[3,1,2,6,5,4,7,8] => [8,7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,5,1,2,7,8] => [8,7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,2,4,5,1,8] => [8,1,5,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,1,4,5,3,8] => [8,3,5,4,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,1,2,8,4,6] => [6,4,8,2,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,6,3,5,1,7,4,8] => [8,4,7,1,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,2,5,7,3,6] => [6,3,7,5,2,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,5,2,3,6,7,8,9,1] => [1,9,8,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[4,3,2,5,6,7,8,9,1] => [1,9,8,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,5,4,8,2,6,7,1] => [1,7,6,2,8,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,5,1,8,3,4,2,6] => [6,2,4,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,5,7,6,2,8,3,4] => [4,3,8,2,6,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,5,6,8,2,3,7,1] => [1,7,3,2,8,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,7,5,4,3,1,6,8] => [8,6,1,3,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,6,1,5,3,8] => [8,3,5,1,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,1,6,5,4,8] => [8,4,5,6,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,2,3,5,4,8] => [8,4,5,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,7,2,6,5,8] => [8,5,6,2,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,6,5,3,7,4] => [4,7,3,5,6,2,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,4,1,8,2,5,3,6] => [6,3,5,2,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,5,6,3,2,7,4] => [4,7,2,3,6,5,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,2,5,1,6,8,3,4] => [4,3,8,6,1,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,7,4,3,6,2,5,8] => [8,5,2,6,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,8,4,2,7,1] => [1,7,2,4,8,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,4,2,3,6,7,5,1] => [1,5,7,6,3,2,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,6,2,4,5,8,7,1] => [1,7,8,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,5,1,4,6,2,7,8] => [8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,5,2,4,3,8,1] => [1,8,3,4,2,5,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,5,2,7,8,1] => [1,8,7,2,5,4,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,3,5,1,4,6,8] => [8,6,4,1,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,1,5,7,2,8] => [8,2,7,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,5,7,4,2,6] => [6,2,4,7,5,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[3,2,6,4,1,5,7,8] => [8,7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,5,4,7,8,3,6] => [6,3,8,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,1,2,5,3,6,8] => [8,6,3,5,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,2,7,5,3,8] => [8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,5,2,8,6,1] => [1,6,8,2,5,3,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,2,7,1,5,3,6,8] => [8,6,3,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,8,2,5,1,6] => [6,1,5,2,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,5,1,6,2,7,8] => [8,7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,3,5,4,1,2,7] => [7,2,1,4,5,3,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,5,4,6,2,3,8] => [8,3,2,6,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,1,7,6,2,8] => [8,2,6,7,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,7,4,2,3,8] => [8,3,2,4,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,1,4,2,7,8] => [8,7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,4,8,7,1] => [1,7,8,4,3,5,6,2] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,2,3,6,7,4,1,8] => [8,1,4,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,7,4,5,1,8] => [8,1,5,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,1,6,4,5,8] => [8,5,4,6,1,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,4,7,8,5,1] => [1,5,8,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,2,3,6,4,8,7,1] => [1,7,8,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,7,6,2,5,4,8,1] => [1,8,4,5,2,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,5,2,7,6,3,8,1] => [1,8,3,6,7,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,2,4,7,3,8,1] => [1,8,3,7,4,2,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,2,4,5,1,3,7] => [7,3,1,5,4,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,1,3,4,7,2,6] => [6,2,7,4,3,1,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,4,6,8,3,2,7,1] => [1,7,2,3,8,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,4,7,3,2,6,1,8] => [8,1,6,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,3,5,2,1,8] => [8,1,2,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,6,3,5,7,4,8] => [8,4,7,5,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,2,7,3,4,8] => [8,4,3,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,3,5,1,6,8] => [8,6,1,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,2,4,3,5,8] => [8,5,3,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,4,5,2,6,8] => [8,6,2,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,4,5,3,7,8] => [8,7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,5,3,1,6,8] => [8,6,1,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,4,2,1,6,8] => [8,6,1,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,3,2,7,4,6] => [6,4,7,2,3,1,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[1,7,4,8,3,5,2,6] => [6,2,5,3,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,4,1,5,3,2,7,8] => [8,7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,5,4,3,7,8] => [8,7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,5,2,8,6,1] => [1,6,8,2,5,3,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,7,5,4,3,8,6,1] => [1,6,8,3,4,5,7,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,6,2,8,3,5,7,1] => [1,7,5,3,8,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[2,5,1,7,4,8,3,6] => [6,3,8,4,7,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,7,4,2,8,3,6] => [6,3,8,2,4,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,5,1,3,4,6,8] => [8,6,4,3,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,4,8,3,7,1] => [1,7,3,8,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,3,2,4,7,8,1,6] => [6,1,8,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,5,7,3,8,1,6] => [6,1,8,3,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,7,6,1,8,3,4] => [4,3,8,1,6,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,2,5,6,3,1,8] => [8,1,3,6,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,6,7,8,2,4] => [4,2,8,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,1,3,5,7,8,2,6] => [6,2,8,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,5,6,3,4,1,8] => [8,1,4,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,7,4,3,5,8] => [8,5,3,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,2,5,7,4,6] => [6,4,7,5,2,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[2,4,7,1,5,8,3,6] => [6,3,8,5,1,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,3,6,7,4,2,8,1] => [1,8,2,4,7,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,2,4,6,8,5,7,1] => [1,7,5,8,6,4,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,4,7,2,3,8,6,1] => [1,6,8,3,2,7,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,5,7,8,1,3,2,4] => [4,2,3,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[4,7,3,6,5,2,8,1] => [1,8,2,5,6,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,6,2,5,7,8,3,4] => [4,3,8,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,4,7,2,8,3,6] => [6,3,8,2,7,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,1,3,4,2,5,8] => [8,5,2,4,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,4,2,5,7,8] => [8,7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,8,2,1,3,4] => [4,3,1,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[5,7,3,4,2,1,6,8] => [8,6,1,2,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,6,2,4,5,8] => [8,5,4,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,1,6,7,2,8] => [8,2,7,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,1,2,3,8] => [8,3,2,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,5,7,3,1,8] => [8,1,3,7,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,7,3,1,8] => [8,1,3,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,8,2,1,5,6] => [6,5,1,2,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,5,3,4,8,1,6] => [6,1,8,4,3,5,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,3,7,1,2,6,8] => [8,6,2,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,3,6,1,4,2,7] => [7,2,4,1,6,3,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,6,2,7,4,1,3,8] => [8,3,1,4,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,6,4,1,3,2,7] => [7,2,3,1,4,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,6,4,5,8,1,2] => [2,1,8,5,4,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,7,6,5,4,8,1,2] => [2,1,8,4,5,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,5,6,1,3,4,2,7] => [7,2,4,3,1,6,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,6,3,4,2,7] => [7,2,4,3,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,1,2,5,3,4,7,8] => [8,7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,4,6,3,7,8] => [8,7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,5,4,3,7,8] => [8,7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,5,7,2,3,8] => [8,3,2,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,7,3,1,4,8] => [8,4,1,3,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,4,7,3,5,8] => [8,5,3,7,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,4,3,7,2,5,8] => [8,5,2,7,3,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,8,1,3,2,4] => [4,2,3,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(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) => 4

[7,1,3,2,4,6,5,8] => [8,5,6,4,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,2,5,6,8] => [8,6,5,2,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,4,2,3,6,8] => [8,6,3,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,1,3,6,2,8] => [8,2,6,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,1,3,7,8] => [8,7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,7,6,3,2,8] => [8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,7,6,3,2,8] => [8,2,3,6,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,1,4,5,2,8] => [8,2,5,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,5,2,8,3,6] => [6,3,8,2,5,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,2,5,3,8,6,1] => [1,6,8,3,5,2,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,3,4,7,5,8,6,1] => [1,6,8,5,7,4,3,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,1,3,2,7,4,5,6] => [6,5,4,7,2,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[1,5,3,7,4,2,6,8] => [8,6,2,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,4,3,2,5,8] => [8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,6,2,5,1,8] => [8,1,5,2,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,6,3,5,2,4,8] => [8,4,2,5,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,3,7,6,2,4,8] => [8,4,2,6,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,2,6,5,7,4] => [4,7,5,6,2,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,2,6,4,8,5,7,1] => [1,7,5,8,4,6,2,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,1,4,3,5,2,7,6] => [6,7,2,5,3,4,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,3,4,5,1,6,2,7] => [7,2,6,1,5,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,6,5,4,1,2,7] => [7,2,1,4,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,6,4,1,3,7] => [7,3,1,4,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,5,7,1,2,8,3,4] => [4,3,8,2,1,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,7,5,2,4,3,1,8] => [8,1,3,4,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,2,4,1,7,8] => [8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,1,6,2,5,8] => [8,5,2,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,7,6,1,5,8] => [8,5,1,6,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,5,8,1,2] => [2,1,8,5,6,4,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[7,8,5,1,2,4,3,6] => [6,3,4,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,7,6,3,1,2,4,8] => [8,4,2,1,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,7,1,4,5,8] => [8,5,4,1,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,1,7,8,2,6] => [6,2,8,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,1,8,5,4,3,6] => [6,3,4,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,7,4,6,1,2,8] => [8,2,1,6,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,1,3,2,4,8] => [8,4,2,3,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,1,2,7,6,8] => [8,6,7,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,1,3,2,4,8] => [8,4,2,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,1,3,6,2,4] => [4,2,6,3,1,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[7,8,3,1,5,4,2,6] => [6,2,4,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,5,4,1,7,6,2,8] => [8,2,6,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,4,7,6,2,8] => [8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,8,2,5,4,6] => [6,4,5,2,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,1,5,4,2,7,6,8] => [8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,4,7,2,6,8] => [8,6,2,7,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,1,3,8,2,4] => [4,2,8,3,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,1,5,7,4,2,6,8] => [8,6,2,4,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,6,2,4,8] => [8,4,2,6,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,7,2,4,5,8] => [8,5,4,2,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,4,5,2,6,8] => [8,6,2,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,8,5,3,2,6] => [6,2,3,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,2,3,7,8,1,4] => [4,1,8,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,4,1,3,2,6,7,5] => [5,7,6,2,3,1,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,7,5,6,2,8,1,4] => [4,1,8,2,6,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,4,7,3,5,1,8] => [8,1,5,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,3,5,1,4,7] => [7,4,1,5,3,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,4,1,5,8,2,6] => [6,2,8,5,1,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,3,6,2,5,7,4] => [4,7,5,2,6,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[8,1,3,5,6,4,2,7] => [7,2,4,6,5,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,5,4,2,3,7,6] => [6,7,3,2,4,5,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,5,2,3,1,8,4,6] => [6,4,8,1,3,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,2,5,3,4,7,6] => [6,7,4,3,5,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[5,2,7,3,4,8,1,6] => [6,1,8,4,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,2,3,5,8,1,6] => [6,1,8,5,3,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,2,7,1,5,6,4,8] => [8,4,6,5,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,6,7,2,8] => [8,2,7,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,4,7,3,6,8] => [8,6,3,7,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,4,1,3,6,8] => [8,6,3,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,5,6,1,2,8] => [8,2,1,6,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,4,5,1,6,8] => [8,6,1,5,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,3,1,4,5,8] => [8,5,4,1,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,5,3,4,1,8] => [8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,4,5,3,1,7] => [7,1,3,5,4,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,3,6,4,1,7,5,8] => [8,5,7,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,1,5,8,4,6] => [6,4,8,5,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,3,6,5,1,7,4,8] => [8,4,7,1,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,2,1,5,7,8] => [8,7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,2,1,4,7,8] => [8,7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,5,2,1,7,8] => [8,7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,5,2,4,1,8] => [8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,4,5,3,2,8] => [8,2,3,5,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,2,6,7,4,8] => [8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,3,4,2,5,8] => [8,5,2,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,5,7,3,8,2,6] => [6,2,8,3,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,7,2,5,6,8,1] => [1,8,6,5,2,7,4,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,8,5,4,7,1] => [1,7,4,5,8,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,7,6,1,4,5,2,8] => [8,2,5,4,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,5,3,1,4,8] => [8,4,1,3,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,7,6,2,5,8] => [8,5,2,6,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,3,1,4,8] => [8,4,1,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,4,1,3,6,8] => [8,6,3,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,7,4,1,6,8] => [8,6,1,4,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,6,3,2,7,8] => [8,7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,3,2,4,7,8] => [8,7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,1,6,3,7,8] => [8,7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,7,2,8,5,1] => [1,5,8,2,7,4,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,7,4,5,8,1] => [1,8,5,4,7,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,3,6,4,7,8,1] => [1,8,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,2,5,3,6,7,8,1] => [1,8,7,6,3,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,6,5,2,4,7,3,8] => [8,3,7,4,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,2,7,3,6,8] => [8,6,3,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,1,5,8,3,4] => [4,3,8,5,1,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,1,7,2,8,3,6] => [6,3,8,2,7,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,2,4,1,8,3,6] => [6,3,8,1,4,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,7,2,6,8,3,4] => [4,3,8,6,2,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,1,3,7,8,2,4] => [4,2,8,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,1,5,4,2,3,6,7] => [7,6,3,2,4,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,3,1,2,4,7,5,8] => [8,5,7,4,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,4,2,3,5,8] => [8,5,3,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,3,2,5,7,6] => [6,7,5,2,3,1,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,6,5,3,1,8,2,4] => [4,2,8,1,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,5,1,4,7,3,6,8] => [8,6,3,7,4,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,5,7,2,4,8] => [8,4,2,7,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,5,7,4,3,8] => [8,3,4,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,5,2,4,7,8] => [8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,1,4,2,7,8] => [8,7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,1,7,2,4,8] => [8,4,2,7,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,2,1,4,7,8] => [8,7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,3,6,1,7,2,8] => [8,2,7,1,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,7,6,1,3,8] => [8,3,1,6,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,3,1,2,7,8] => [8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,6,3,7,2,8] => [8,2,7,3,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,3,7,8,1] => [1,8,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,5,7,1,4,2,8] => [8,2,4,1,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,1,4,7,2,8] => [8,2,7,4,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,5,7,1,2,8] => [8,2,1,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,5,1,3,7,8] => [8,7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,7,6,1,3,8] => [8,3,1,6,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,6,1,2,5,8] => [8,5,2,1,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,7,6,3,8,1] => [1,8,3,6,7,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,1,6,5,2,7,3,8] => [8,3,7,2,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,7,2,1,4,8] => [8,4,1,2,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,6,2,4,1,8] => [8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,3,7,1,8] => [8,1,7,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,2,7,3,1,8] => [8,1,3,7,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,2,1,7,3,8] => [8,3,7,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,2,4,5,1,7] => [7,1,5,4,2,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,2,3,7,5,1] => [1,5,7,3,2,6,4,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,1,7,6,4,2,3,8] => [8,3,2,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,4,2,5,6,8] => [8,6,5,2,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,4,2,8,1] => [1,8,2,4,6,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,1,6,4,3,7,2,8] => [8,2,7,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,6,3,8,5,1] => [1,5,8,3,6,4,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,5,1,7,4,2,6,8] => [8,6,2,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,3,2,5,8] => [8,5,2,3,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,1,6,2,5,7] => [7,5,2,6,1,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,3,1,5,2,7,6] => [6,7,2,5,1,3,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[6,5,4,2,7,3,8,1] => [1,8,3,7,2,4,5,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,4,1,7,8,2,6] => [6,2,8,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,4,2,1,5,7,3,8] => [8,3,7,5,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,7,4,2,6,8,1] => [1,8,6,2,4,7,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,7,4,2,6,1,8] => [8,1,6,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,4,3,6,1,8] => [8,1,6,3,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,4,3,6,8,1] => [1,8,6,3,4,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,3,7,4,8,5,1] => [1,5,8,4,7,3,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,7,4,5,1,8] => [8,1,5,4,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,7,4,5,2,8] => [8,2,5,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,2,4,5,6,8] => [8,6,5,4,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,8,4,6,7,1] => [1,7,6,4,8,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,4,5,3,7,1,2,6] => [6,2,1,7,3,5,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[1,2,6,5,7,8,3,4] => [4,3,8,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,5,2,4,3,7,1,6] => [6,1,7,3,4,2,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,1,4,3,2,7,6] => [6,7,2,3,4,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,5,1,4,3,2,6,7] => [7,6,2,3,4,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,1,4,3,6,2,7] => [7,2,6,3,4,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,3,2,4,7,1,6] => [6,1,7,4,2,3,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,5,2,1,6,4,3,7] => [7,3,4,6,1,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,6,5,1,3,2,7] => [7,2,3,1,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,4,7,5,6,2,3,8] => [8,3,2,6,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,3,7,4,2,8] => [8,2,4,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,6,5,2,4,8] => [8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,4,2,7,3,8] => [8,3,7,2,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,4,3,2,6,8] => [8,6,2,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,1,8,5,6] => [6,5,8,1,4,3,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,2,3,1,7,6,5] => [5,6,7,1,3,2,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,4,1,3,2,7,6,5] => [5,6,7,2,3,1,4,8] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,1),(6,7)],8) => 5

[8,1,3,5,2,4,7,6] => [6,7,4,2,5,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,3,5,1,2,4,7,6] => [6,7,4,2,1,5,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,3,5,1,2,7,6] => [6,7,2,1,5,3,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[7,4,2,8,3,1,5,6] => [6,5,1,3,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,4,2,8,3,5,1,6] => [6,1,5,3,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,7,6,5,2,4,8,1] => [1,8,4,2,5,6,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,3,6,5,8,1,4] => [4,1,8,5,6,3,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,7,3,1,2,6,8] => [8,6,2,1,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,6,5,2,7,8] => [8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,1,5,4,3,8] => [8,3,4,5,1,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,6,7,4,1,8] => [8,1,4,7,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,2,6,1,3,8] => [8,3,1,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,8,5,4,3,6] => [6,3,4,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,8,5,4,3,6] => [6,3,4,5,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,5,6,2,4,8,1] => [1,8,4,2,6,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,5,6,2,4,1,8] => [8,1,4,2,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,1,7,2,6,8] => [8,6,2,7,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,2,5,1,4,8] => [8,4,1,5,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,2,7,3,8] => [8,3,7,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,3,4,8,2,6] => [6,2,8,4,3,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,3,4,2,7,1,5,8] => [8,5,1,7,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,1,7,2,4,8] => [8,4,2,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,4,2,6,3,8] => [8,3,6,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,1,3,6,2,8] => [8,2,6,3,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,4,5,8,1,2] => [2,1,8,5,4,6,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,3,5,1,4,6,2,7] => [7,2,6,4,1,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,5,2,4,7,8,6,1] => [1,6,8,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,1,4,6,2,3,7,5] => [5,7,3,2,6,4,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,5,3,7,6,4,8,1] => [1,8,4,6,7,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,1,6,5,4,7,2,8] => [8,2,7,4,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,4,5,7,1,8] => [8,1,7,5,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,5,4,7,1,8] => [8,1,7,4,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,7,6,4,2,8] => [8,2,4,6,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,4,5,7,2,8] => [8,2,7,5,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,6,5,2,7,8] => [8,7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,2,6,5,3,7,8] => [8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,3,5,2,7,8] => [8,7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,2,5,7,1,8] => [8,1,7,5,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,3,5,1,7,8] => [8,7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,6,5,1,2,8] => [8,2,1,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,2,5,3,7,8] => [8,7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,7,3,6,8,1] => [1,8,6,3,7,4,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,3,7,5,8,6,1] => [1,6,8,5,7,3,4,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,4,7,1,3,5,2,8] => [8,2,5,3,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,6,1,3,7,8] => [8,7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,6,7,4,2,8] => [8,2,4,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,8,5,2,4,6] => [6,4,2,5,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,1,6,4,7,2,8] => [8,2,7,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,7,2,6,3,8] => [8,3,6,2,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,8,7,3,5,6,2,1] => [1,2,6,5,3,7,8,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,7),(4,7),(5,7),(6,7),(7,2)],8) => 1

[4,6,5,1,2,7,3,8] => [8,3,7,2,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,1,2,7,3,8] => [8,3,7,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,5,6,2,4,3,7] => [7,3,4,2,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,4,5,1,2,7,3,8] => [8,3,7,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,1,3,2,7,8] => [8,7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,3,2,6,8] => [8,6,2,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,7,1,8,4,6] => [6,4,8,1,7,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,8,1,5,4,3,2,6] => [6,2,3,4,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[6,3,2,5,7,4,8,1] => [1,8,4,7,5,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,5,1,3,6,4,8] => [8,4,6,3,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,5,6,1,4,3,8] => [8,3,4,1,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,5,3,2,7,4] => [4,7,2,3,5,6,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,7,5,3,2,8,1,4] => [4,1,8,2,3,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,5,3,7,1,4,8] => [8,4,1,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,3,5,2,4,8] => [8,4,2,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,4,5,2,3,8] => [8,3,2,5,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,4,7,2,3,8] => [8,3,2,7,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,6,3,5,4,7] => [7,4,5,3,6,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,3,2,6,5,4,8] => [8,4,5,6,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,2,7,6,3,8] => [8,3,6,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,4,2,1,3,8] => [8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,6,2,5,1,7] => [7,1,5,2,6,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,2,4,5,8,3,7,1] => [1,7,3,8,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,6,5,7,2,8,1,4] => [4,1,8,2,7,5,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,1,5,4,6,7,2,8] => [8,2,7,6,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,3,5,1,6,8] => [8,6,1,5,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,8,4,7,1] => [1,7,4,8,3,2,6,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,7,2,3,4,1,6,8] => [8,6,1,4,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,3,5,1,4,8] => [8,4,1,5,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,3,8,4,7,1] => [1,7,4,8,3,2,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,5,2,3,1,6,4,7] => [7,4,6,1,3,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,6,3,4,2,7,5,8] => [8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,5,3,7,6,8] => [8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,3,5,8,4,6] => [6,4,8,5,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,7,2,8,1,4,5,6] => [6,5,4,1,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,2,3,7,4,6,1,8] => [8,1,6,4,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,3,4,5,1,8] => [8,1,5,4,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,3,4,5,1,8] => [8,1,5,4,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,3,4,5,1,8] => [8,1,5,4,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,6,1,8,3,4] => [4,3,8,1,6,2,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,5,7,2,8,3,4] => [4,3,8,2,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,5,3,7,8,1,4] => [4,1,8,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,1,7,6,2,3,8] => [8,3,2,6,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,2,6,4,5,1,7] => [7,1,5,4,6,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,3,6,4,7,5] => [5,7,4,6,3,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,6,2,3,5,8,1,4] => [4,1,8,5,3,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,3,7,5,1,6,2,8] => [8,2,6,1,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,2,4,1,7,5,8] => [8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,7,4,8,5,1] => [1,5,8,4,7,6,2,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,2,6,1,5,7,3,8] => [8,3,7,5,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,2,6,7,3,8] => [8,3,7,6,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,7,4,1,3,8] => [8,3,1,4,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,7,3,1,4,2,8] => [8,2,4,1,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,4,5,2,7,8] => [8,7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,3,5,2,7,8] => [8,7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,6,1,4,2,8] => [8,2,4,1,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,8,2,5,1,6] => [6,1,5,2,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,2,4,7,3,1,5,8] => [8,5,1,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,4,6,2,8] => [8,2,6,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,1,7,4,2,5,8] => [8,5,2,4,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,6,4,1,2,8] => [8,2,1,4,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,4,3,5,7,8] => [8,7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,1,6,2,7,8] => [8,7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,5,2,7,3,8] => [8,3,7,2,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,3,6,4,5,8] => [8,5,4,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,5,1,8,2,6] => [6,2,8,1,5,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,5,1,7,3,2,6] => [6,2,3,7,1,5,4,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,2,1,6,4,5,3,7] => [7,3,5,4,6,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,5,2,1,6,3,7,8] => [8,7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,4,3,1,2,8] => [8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,4,1,2,3,7,6] => [6,7,3,2,1,4,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[2,6,7,5,1,4,3,8] => [8,3,4,1,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,1,7,4,5,8] => [8,5,4,7,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,4,2,7,5,8] => [8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,8,1,2,3,6] => [6,3,2,1,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,2,5,7,8,1,6] => [6,1,8,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,7,8,2,5,3,6] => [6,3,5,2,8,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,6,5,7,1,2,4,8] => [8,4,2,1,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,3,4,8,6,1] => [1,6,8,4,3,7,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,7,3,2,4,8,6,1] => [1,6,8,4,2,3,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,7,4,6,1,3,5,8] => [8,5,3,1,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,1,3,5,4,2,8] => [8,2,4,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,1,3,6,5,8] => [8,5,6,3,1,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,3,1,5,4,8] => [8,4,5,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,4,2,8,6,1] => [1,6,8,2,4,3,5,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,4,6,7,2,1,5,8] => [8,5,1,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,5,7,3,4,8] => [8,4,3,7,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,1,8,3,4] => [4,3,8,1,2,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,6,1,3,5,2,8] => [8,2,5,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,3,5,2,1,8] => [8,1,2,5,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,6,1,7,3,8] => [8,3,7,1,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,3,7,5,2,8] => [8,2,5,7,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,1,4,5,6,8] => [8,6,5,4,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,3,7,5,8,1] => [1,8,5,7,3,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,4,3,7,5,1,8] => [8,1,5,7,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,3,2,5,1,8] => [8,1,5,2,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,7,3,8,6,1] => [1,6,8,3,7,2,4,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,3,5,4,7,1,2,6] => [6,2,1,7,4,5,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,1,6,5,3,2,4,7] => [7,4,2,3,5,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,3,4,1,6,5,7] => [7,5,6,1,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,1,6,5,8,3,4] => [4,3,8,5,6,1,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,3,5,7,4,8,1] => [1,8,4,7,5,3,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,1,2,8,5,6] => [6,5,8,2,1,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,6,4,3,8,5,1] => [1,5,8,3,4,6,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,1,7,4,6,2,3,8] => [8,3,2,6,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,6,5,2,4,8] => [8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,8,1,4,3,6] => [6,3,4,1,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,6,3,5,4,8,1] => [1,8,4,5,3,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,7,3,5,8,2,4] => [4,2,8,5,3,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,5,3,2,8,1,6] => [6,1,8,2,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,2,7,5,8,6,1] => [1,6,8,5,7,2,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,3,4,2,7,5,8,1] => [1,8,5,7,2,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,3,5,2,1,7,4] => [4,7,1,2,5,3,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,6,1,5,2,8,3,4] => [4,3,8,2,5,1,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,1,4,2,8,3,6] => [6,3,8,2,4,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,2,4,1,8,3,6] => [6,3,8,1,4,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,5,7,3,6,2,4,8] => [8,4,2,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,4,1,2,5,8] => [8,5,2,1,4,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,7,2,1,4,8] => [8,4,1,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,5,4,8,1,2] => [2,1,8,4,5,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,5,7,2,6,3,8,1] => [1,8,3,6,2,7,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,2,3,5,6,4,1,7] => [7,1,4,6,5,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,5,7,4,2,3,6,8] => [8,6,3,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,5,1,3,6,8] => [8,6,3,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,5,3,6,8,1] => [1,8,6,3,5,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,1,3,6,2,5,8] => [8,5,2,6,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,2,4,7,3,6,8] => [8,6,3,7,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,2,5,8,3,6] => [6,3,8,5,2,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,4,7,8,3,5,1,6] => [6,1,5,3,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,6,2,5,8,4,7,1] => [1,7,4,8,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,5,2,4,7,8,1,6] => [6,1,8,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,1,7,6,8,3,4] => [4,3,8,6,7,1,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,6,2,3,8,1,4] => [4,1,8,3,2,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,7,2,5,4,8,1] => [1,8,4,5,2,7,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,4,3,1,2,7,6,8] => [8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,5,2,3,7,8] => [8,7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,6,7,2,5,8] => [8,5,2,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,1,3,4,7,8] => [8,7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,1,7,4,5,8] => [8,5,4,7,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,3,7,2,4,1,8] => [8,1,4,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,7,3,2,4,8] => [8,4,2,3,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,7,4,5,3,8] => [8,3,5,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,2,1,8,4,6] => [6,4,8,1,2,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,1,8,5,3,2,6] => [6,2,3,5,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,2,4,6,3,5,8,1] => [1,8,5,3,6,4,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,2,3,1,7,6,4,8] => [8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,4,1,8,5,6] => [6,5,8,1,4,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,1,7,4,5,8,2,6] => [6,2,8,5,4,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,1,7,8,4,2,3,6] => [6,3,2,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,4,1,5,3,7,2,8] => [8,2,7,3,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,7,2,3,6,8] => [8,6,3,2,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,7,6,3,4,5,8] => [8,5,4,3,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,7,8,1,4] => [4,1,8,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,2,1,8,3,5,4,6] => [6,4,5,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,2,7,4,6,3,8,1] => [1,8,3,6,4,7,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,5,2,3,4,1,7,6] => [6,7,1,4,3,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,6,3,5,2,4,7] => [7,4,2,5,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,5,6,3,4,8,1] => [1,8,4,3,6,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,1,6,7,4,5,2,8] => [8,2,5,4,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,2,5,1,7,3,6] => [6,3,7,1,5,2,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[6,4,2,5,7,3,8,1] => [1,8,3,7,5,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,5,2,8,3,7,1] => [1,7,3,8,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,5,2,4,3,8,7,1] => [1,7,8,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[7,3,2,6,4,8,5,1] => [1,5,8,4,6,2,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,7,2,6,5,3,8,1] => [1,8,3,5,6,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,4,6,3,8,5,1] => [1,5,8,3,6,4,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,6,1,2,4,5,3,7] => [7,3,5,4,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,6,1,4,3,7] => [7,3,4,1,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,6,5,1,4,3,7] => [7,3,4,1,5,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,5,1,4,3,7] => [7,3,4,1,5,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,7,2,4,6,3,8] => [8,3,6,4,2,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,1,4,8,5,6] => [6,5,8,4,1,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,3,2,7,4,5,8,1] => [1,8,5,4,7,2,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,4,3,2,7,5,1] => [1,5,7,2,3,4,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,5,6,2,4,7,8,1] => [1,8,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,6,7,2,4,8,1] => [1,8,4,2,7,6,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,5,7,4,2,6,8,1] => [1,8,6,2,4,7,5,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,5,7,2,8,6,1] => [1,6,8,2,7,5,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,5,4,7,2,8,6,1] => [1,6,8,2,7,4,5,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,2,5,7,4,8,6,1] => [1,6,8,4,7,5,2,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,2,5,6,7,3,8,1] => [1,8,3,7,6,5,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,1,4,3,5,2,7] => [7,2,5,3,4,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,4,2,5,3,6,7] => [7,6,3,5,2,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,4,1,3,5,2,6,7] => [7,6,2,5,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,2,5,4,6,7] => [7,6,4,5,2,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,5,4,1,3,7,6] => [6,7,3,1,4,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[4,7,5,8,2,3,1,6] => [6,1,3,2,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,3,6,5,8,2,4] => [4,2,8,5,6,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,6,7,2,1,5,3,8] => [8,3,5,1,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,2,1,5,4,8] => [8,4,5,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,7,1,5,2,8] => [8,2,5,1,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,7,4,5,1,8] => [8,1,5,4,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,6,3,1,4,7] => [7,4,1,3,6,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,1,4,3,5,6,7] => [7,6,5,3,4,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,5,2,8,4,3,7,1] => [1,7,3,4,8,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,2,8,3,7,1] => [1,7,3,8,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,3,4,7,2,5,8,1] => [1,8,5,2,7,4,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,6,2,3,1,4,7,5] => [5,7,4,1,3,2,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,1,2,4,3,5,7,6] => [6,7,5,3,4,2,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,2,3,1,5,7,6] => [6,7,5,1,3,2,4,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,2,3,4,1,5,7,6] => [6,7,5,1,4,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,1,3,2,5,6,7] => [7,6,5,2,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,1,2,3,5,4,7] => [7,4,5,3,2,1,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,2,5,3,6,4,8,1] => [1,8,4,6,3,5,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,7,1,3,5,8,4,6] => [6,4,8,5,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,3,6,2,5,4,8,1] => [1,8,4,5,2,6,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,3,8,5,2,7,1] => [1,7,2,5,8,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,6,2,3,5,1,4,8] => [8,4,1,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,3,4,8,7,1] => [1,7,8,4,3,5,2,6] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,6,5,4,8,2,7,1] => [1,7,2,8,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,5,2,4,8,7,6,1] => [1,6,7,8,4,2,5,3] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,3,5,1,7,6,4,8] => [8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,4,1,5,7,8] => [8,7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,6,4,1,5,8] => [8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,7,4,1,5,8] => [8,5,1,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,3,1,6,4,8] => [8,4,6,1,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,4,1,5,6,8] => [8,6,5,1,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,3,1,4,7,6] => [6,7,4,1,3,2,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[4,2,7,5,1,3,6,8] => [8,6,3,1,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,6,4,2,5,8] => [8,5,2,4,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,4,8,3,6] => [6,3,8,4,1,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,7,3,6,1,4,8] => [8,4,1,6,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,3,7,2,5,8] => [8,5,2,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,3,6,1,4,8] => [8,4,1,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,3,6,1,4,7] => [7,4,1,6,3,5,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,2,1,7,6,5,3,8] => [8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,1,4,6,2,8] => [8,2,6,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,4,5,3,8,1] => [1,8,3,5,4,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,2,7,5,3,8,1] => [1,8,3,5,7,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,5,1,6,4,3,8] => [8,3,4,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,4,6,3,8] => [8,3,6,4,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,7,3,1,4,2,8] => [8,2,4,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,7,6,5,2,8] => [8,2,5,6,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,2,7,4,1,8] => [8,1,4,7,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,6,2,3,4,8] => [8,4,3,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,4,7,3,1,8] => [8,1,3,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,5,7,8,3,4] => [4,3,8,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,7,6,4,5,3,8] => [8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,2,3,8,5,1] => [1,5,8,3,2,7,6,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,2,5,4,7,1,3,8] => [8,3,1,7,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,1,4,7,6,8] => [8,6,7,4,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,8,3,4,1,6] => [6,1,4,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,3,7,8,1,5,4,6] => [6,4,5,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,2,7,6,1,5,8] => [8,5,1,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,5,3,1,4,8] => [8,4,1,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,3,5,4,6,8] => [8,6,4,5,3,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,4,6,2,7,3,1] => [1,3,7,2,6,4,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[6,5,4,8,2,3,7,1] => [1,7,3,2,8,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,3,2,5,4,6,1,7] => [7,1,6,4,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,2,4,7,5,3,1,8] => [8,1,3,5,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,6,7,5,1,8] => [8,1,5,7,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,8,5,1,3,6] => [6,3,1,5,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,3,5,1,7,4,6] => [6,4,7,1,5,3,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[8,1,3,4,5,7,2,6] => [6,2,7,5,4,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[2,7,6,4,3,5,8,1] => [1,8,5,3,4,6,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,7,2,5,3,4,8,1] => [1,8,4,3,5,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,3,4,6,2,7,5] => [5,7,2,6,4,3,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,6,3,1,2,5,7,8] => [8,7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,6,2,3,7,8] => [8,7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,4,7,2,6,8] => [8,6,2,7,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,3,4,1,7,8] => [8,7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,2,1,7,3,8] => [8,3,7,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,5,7,8,1,4] => [4,1,8,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,4,1,2,7,6,3,8] => [8,3,6,7,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,3,2,7,6,8] => [8,6,7,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,6,2,7,8] => [8,7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,1,2,6,5,7] => [7,5,6,2,1,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,6,2,3,5,4,1,7] => [7,1,4,5,3,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,2,4,5,1,7,3,6] => [6,3,7,1,5,4,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[1,5,2,3,7,6,4,8] => [8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,4,7,2,5,6] => [6,5,2,7,4,3,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[8,5,4,2,6,7,3,1] => [1,3,7,6,2,4,5,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[5,7,4,1,3,8,2,6] => [6,2,8,3,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,2,4,3,6,1,8] => [8,1,6,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,6,5,2,8] => [8,2,5,6,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,2,8,4,7,1] => [1,7,4,8,2,5,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,5,4,8,6,3,7,1] => [1,7,3,6,8,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,1,5,4,6,2,7,8] => [8,7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,6,4,3,5,2,7] => [7,2,5,3,4,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,2,3,5,7,8,1,6] => [6,1,8,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,5,2,6,7,8,9,1] => [1,9,8,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,4,5,6,7,2,8,9,1] => [1,9,8,2,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,4,2,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,4,5,2,6,7,8,9,10,1] => [1,10,9,8,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,4,5,6,7,2,8,9,10,1] => [1,10,9,8,2,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,4,5,6,7,8,2,9,10,1] => [1,10,9,2,8,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,4,2,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[3,4,5,2,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[3,4,5,6,7,2,8,9,10,11,1] => [1,11,10,9,8,2,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[3,4,5,6,7,8,2,9,10,11,1] => [1,11,10,9,2,8,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[3,4,5,6,7,8,9,10,2,11,1] => [1,11,2,10,9,8,7,6,5,4,3] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11) => 1

[3,7,5,6,4,2,1,8] => [8,1,2,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,3,7,4,2,8] => [8,2,4,7,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,1,3,5,4,8] => [8,4,5,3,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,6,5,8,2,4] => [4,2,8,5,6,3,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,7,4,5,2,8,6,1] => [1,6,8,2,5,4,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,3,2,4,6,1,7,5] => [5,7,1,6,4,2,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,4,6,3,1,5,2,7] => [7,2,5,1,3,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,6,1,5,2,4,7,8] => [8,7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,2,5,4,1,8] => [8,1,4,5,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,4,1,6,7,5] => [5,7,6,1,4,3,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,6,3,1,5,8,2,4] => [4,2,8,5,1,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,2,7,5,3,4,8] => [8,4,3,5,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,6,7,4,8,1] => [1,8,4,7,6,3,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,5,7,3,4,2,8] => [8,2,4,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,1,3,6,2,7,8] => [8,7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,1,4,7,3,8] => [8,3,7,4,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,7,1,4,8] => [8,4,1,7,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,3,7,4,8,1] => [1,8,4,7,3,2,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,6,2,3,7,5,4,8] => [8,4,5,7,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,6,5,3,4,8] => [8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,6,4,5,3,8] => [8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,7,4,5,3,6,8] => [8,6,3,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,2,6,7,5,3,4,8] => [8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,2,1,6,4,8] => [8,4,6,1,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,4,5,6,3,8] => [8,3,6,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,7,3,4,2,8] => [8,2,4,3,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,4,7,1,8] => [8,1,7,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,7,4,6,1,8] => [8,1,6,4,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,6,4,5,8,1] => [1,8,5,4,6,3,2,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,2,5,3,7,4,8] => [8,4,7,3,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,7,3,1,4,8] => [8,4,1,3,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,6,1,4,3,8] => [8,3,4,1,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,4,5,2,8,1] => [1,8,2,5,4,7,3,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,3,6,5,8,2,7,1] => [1,7,2,8,5,6,3,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,2,3,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[3,2,6,8,4,5,7,1] => [1,7,5,4,8,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,4,1,3,7,5,2,8] => [8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,6,4,3,2,8] => [8,2,3,4,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,5,2,6,3,8] => [8,3,6,2,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,2,1,6,7,4] => [4,7,6,1,2,5,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,7,2,8,3,4,1,6] => [6,1,4,3,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[3,6,2,7,5,8,1,4] => [4,1,8,5,7,2,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,6,5,7,3,8,2,4] => [4,2,8,3,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,5,1,3,7,4,2,8] => [8,2,4,7,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,3,7,5,1,8] => [8,1,5,7,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,2,7,6,4,8] => [8,4,6,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,6,5,7,8] => [8,7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,7,6,5,8] => [8,5,6,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,7,5,6,8] => [8,6,5,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,2,3,8,5,1] => [1,5,8,3,2,4,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,6,1,4,7,3,2,8] => [8,2,3,7,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,2,6,7,5,8] => [8,5,7,6,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,7,5,6,3,8] => [8,3,6,5,7,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,3,6,4,2,8] => [8,2,4,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,2,8,6,1] => [1,6,8,2,7,5,3,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,5,8,4,7,1] => [1,7,4,8,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,4,7,1,5,6,2,8] => [8,2,6,5,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,8,6,4,7,3,2,1] => [1,2,3,7,4,6,8,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[5,1,2,4,6,7,3,8] => [8,3,7,6,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,6,7,2,4,8] => [8,4,2,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,6,4,1,7,5] => [5,7,1,4,6,3,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[3,4,7,5,2,8,6,1] => [1,6,8,2,5,7,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[2,5,3,7,4,1,6,8] => [8,6,1,4,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,3,4,1,5,8] => [8,5,1,4,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,4,2,6,8] => [8,6,2,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,3,4,1,5,8] => [8,5,1,4,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,3,7,4,8,1] => [1,8,4,7,3,5,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,6,3,4,2,8,7,1] => [1,7,8,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[6,3,5,4,7,8,1,2] => [2,1,8,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[6,5,7,1,2,4,3,8] => [8,3,4,2,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,1,3,5,7,2,8] => [8,2,7,5,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,4,1,3,7,5] => [5,7,3,1,4,6,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[1,5,6,7,4,2,3,8] => [8,3,2,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,7,3,4,2,8] => [8,2,4,3,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,3,7,5,8,1] => [1,8,5,7,3,2,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,1,5,6,3,2,8] => [8,2,3,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,3,6,1,2,8] => [8,2,1,6,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,7,2,1,6,8] => [8,6,1,2,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,8,3,2,7,1] => [1,7,2,3,8,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,6,5,7,2,3,8,1] => [1,8,3,2,7,5,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,6,7,4,8,1,2] => [2,1,8,4,7,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[3,5,7,8,4,2,1,6] => [6,1,2,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,5,7,6,2,3,1,8] => [8,1,3,2,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,2,6,7,8] => [8,7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,2,4,8,3,6] => [6,3,8,4,2,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,5,1,4,3,8,2,6] => [6,2,8,3,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,3,2,6,5,8,1] => [1,8,5,6,2,3,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,8,4,6,7,3,2,1] => [1,2,3,7,6,4,8,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,7),(1,3),(1,4),(1,5),(3,7),(4,7),(5,7),(6,2),(7,6)],8) => 1

[2,1,6,5,3,4,7,8] => [8,7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,3,5,4,1,8] => [8,1,4,5,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,3,6,4,1,8] => [8,1,4,6,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,2,7,3,4,8] => [8,4,3,7,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,1,3,5,6,8] => [8,6,5,3,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,6,5,2,3,8] => [8,3,2,5,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,2,1,5,3,7,4] => [4,7,3,5,1,2,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[6,3,1,5,7,8,2,4] => [4,2,8,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,3,1,5,6,8,2,4] => [4,2,8,6,5,1,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,5,7,6,8,3,4] => [4,3,8,6,7,5,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,4,6,8,2,5,7,1] => [1,7,5,2,8,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[8,5,1,3,4,2,7,6] => [6,7,2,4,3,1,5,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,4,1,5,3,6,2,7] => [7,2,6,3,5,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,3,1,4,6,2,7,5] => [5,7,2,6,4,1,3,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,5,7,3,4,6,1,8] => [8,1,6,4,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,4,7,8,1,6] => [6,1,8,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,6,5,2,3,1,8] => [8,1,3,2,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,2,5,6,3,8] => [8,3,6,5,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,2,6,5,3,4,8] => [8,4,3,5,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,8,2,4,3,6] => [6,3,4,2,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,7,5,6,2,4,3,8] => [8,3,4,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,2,8,4,6] => [6,4,8,2,7,3,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,1,7,6,5,3,2,8] => [8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,6,7,5,2,8] => [8,2,5,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,4,5,7,6,2,8] => [8,2,6,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,2,4,3,6,7] => [7,6,3,4,2,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,4,6,3,7,5] => [5,7,3,6,4,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,8,1,2,5,3,4,6] => [6,4,3,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,4,2,5,3,6,1,8] => [8,1,6,3,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,7,1,6,5,8] => [8,5,6,1,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,3,2,1,7,4,6] => [6,4,7,1,2,3,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,6,1,7,2,5,3,8] => [8,3,5,2,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,5,8,2,6] => [6,2,8,5,1,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,6,4,1,2,5,3,8] => [8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,7,4,5,3,8] => [8,3,5,4,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,1,7,3,4,8] => [8,4,3,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,2,4,8,1] => [1,8,4,2,3,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,4,7,1,3,6,8] => [8,6,3,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,1,5,7,2,4,8] => [8,4,2,7,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,1,6,2,5,8] => [8,5,2,6,1,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,6,7,2,5,8] => [8,5,2,7,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,6,1,3,5,8] => [8,5,3,1,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,4,1,3,7,8] => [8,7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,6,5,1,4,7,8] => [8,7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,6,2,1,5,7,8] => [8,7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,3,7,4,6,8] => [8,6,4,7,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,1,3,7,6,8] => [8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,7,4,2,6,8] => [8,6,2,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,4,1,2,7,8] => [8,7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,6,2,5,1,8] => [8,1,5,2,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,5,6,2,8] => [8,2,6,5,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,3,6,2,8] => [8,2,6,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,4,5,2,7,8] => [8,7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,4,5,6,2,8] => [8,2,6,5,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,1,3,6,4,8] => [8,4,6,3,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,4,2,1,8] => [8,1,2,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,6,7,5,2,4,8] => [8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,2,4,3,7,8] => [8,7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,7,2,1,6,8] => [8,6,1,2,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,3,1,5,7,8] => [8,7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,6,4,3,2,5,8] => [8,5,2,3,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,7,3,8,2,4] => [4,2,8,3,7,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,1,2,4,3,7,5,6] => [6,5,7,3,4,2,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[3,5,4,7,1,8,2,6] => [6,2,8,1,7,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,6,7,5,1,2,8] => [8,2,1,5,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,7,3,4,1,8] => [8,1,4,3,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,7,1,8,2,6] => [6,2,8,1,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,6,4,7,1,3,8] => [8,3,1,7,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,7,8,5,1] => [1,5,8,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,1,5,7,4,8] => [8,4,7,5,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,3,7,2,6,8] => [8,6,2,7,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,1,6,3,4,8] => [8,4,3,6,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,3,6,4,2,8] => [8,2,4,6,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,4,8,7,1] => [1,7,8,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[5,6,2,4,3,1,7,8] => [8,7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,4,3,8,1] => [1,8,3,4,2,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,3,2,4,6,8,1] => [1,8,6,4,2,3,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,6,3,5,4,2,7] => [7,2,4,5,3,6,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,5,3,6,4,7] => [7,4,6,3,5,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,7,4,6,3,1,5,8] => [8,5,1,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,5,7,6,1,4,8] => [8,4,1,6,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,6,4,7,8,1] => [1,8,7,4,6,3,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,4,2,3,5,7,8] => [8,7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,6,2,1,5,8] => [8,5,1,2,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,3,7,1,6,8] => [8,6,1,7,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,5,7,1,6,8] => [8,6,1,7,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,4,1,7,3,2,6] => [6,2,3,7,1,4,5,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,7,6,3,2,8,5,1] => [1,5,8,2,3,6,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,1,5,7,2,8,3,4] => [4,3,8,2,7,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,3,6,2,5,7,4,8] => [8,4,7,5,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,6,2,5,7,8] => [8,7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,1,3,6,4,8] => [8,4,6,3,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,2,5,3,6,8] => [8,6,3,5,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,1,4,2,6,8] => [8,6,2,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,3,6,7,1,5,8] => [8,5,1,7,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,2,1,3,7,8] => [8,7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,6,1,4,3,7,8] => [8,7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,4,1,7,2,8] => [8,2,7,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,6,2,8,5,1] => [1,5,8,2,6,3,4,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,3,2,1,6,5,4,8] => [8,4,5,6,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,1,4,3,5,8] => [8,5,3,4,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,1,4,7,3,6] => [6,3,7,4,1,2,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[2,5,6,3,7,1,4,8] => [8,4,1,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,6,7,8,5,1] => [1,5,8,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,6,5,7,3,2,4,8] => [8,4,2,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,5,2,3,7,8] => [8,7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,8,2,5,1,6] => [6,1,5,2,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,6,5,8,2,3,7,1] => [1,7,3,2,8,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,7,5,4,6,2,1,8] => [8,1,2,6,4,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,4,7,3,6,8] => [8,6,3,7,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,6,8,5,7,1] => [1,7,5,8,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,1,3,5,2,4,7,8] => [8,7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,2,6,5,1,8] => [8,1,5,6,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,4,1,5,2,8] => [8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,6,7,3,1,8] => [8,1,3,7,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,3,5,8,2,6] => [6,2,8,5,3,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,3,1,2,6,5,7,8] => [8,7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,1,7,3,6,4,8] => [8,4,6,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,5,1,2,4,8] => [8,4,2,1,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,4,3,6,5,8] => [8,5,6,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,6,7,4,8] => [8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,1,4,3,7,8] => [8,7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,6,7,1,3,2,8] => [8,2,3,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,4,6,7,2,8] => [8,2,7,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,3,4,7,2,8] => [8,2,7,4,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,2,4,3,7,8] => [8,7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,3,1,2,7,5] => [5,7,2,1,3,6,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,6,3,5,7,1,2,8] => [8,2,1,7,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,2,8,6,5,7,1] => [1,7,5,6,8,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[1,7,3,8,5,4,2,6] => [6,2,4,5,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,3,1,4,5,7,2,8] => [8,2,7,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,7,4,8,2,6] => [6,2,8,4,7,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,3,6,4,5,8,1] => [1,8,5,4,6,3,7,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,4,2,6,5,8,1] => [1,8,5,6,2,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,5,1,2,6,3,8] => [8,3,6,2,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,7,1,5,3,8] => [8,3,5,1,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,7,6,3,5,8,1] => [1,8,5,3,6,7,4,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,7,3,4,5,8,1] => [1,8,5,4,3,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,2,1,5,6,4,8] => [8,4,6,5,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,2,7,5,6,8] => [8,6,5,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,6,5,8,1,2] => [2,1,8,5,6,7,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,4,3,7,6,1,2,8] => [8,2,1,6,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,8,3,5,7,1] => [1,7,5,3,8,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,5,1,7,3,2,4,8] => [8,4,2,3,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,1,3,7,6,2,8] => [8,2,6,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,6,4,2,3,8] => [8,3,2,4,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,4,1,6,2,8] => [8,2,6,1,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,1,6,4,2,8] => [8,2,4,6,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,4,5,3,2,8] => [8,2,3,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,3,5,4,1,8] => [8,1,4,5,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,4,3,1,8] => [8,1,3,4,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,3,5,4,2,8] => [8,2,4,5,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,2,6,7,5,3,8] => [8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,8,1,5,3,6] => [6,3,5,1,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,3,7,1,5,8,2,6] => [6,2,8,5,1,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,3,4,1,7,2,8] => [8,2,7,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,4,3,5,1,8] => [8,1,5,3,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,5,4,3,8,1] => [1,8,3,4,5,7,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,6,5,4,2,1,7] => [7,1,2,4,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[9,1,2,3,4,5,7,6,8] => [8,6,7,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[5,7,1,3,2,8,4,6] => [6,4,8,2,3,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,7,4,6,1,3,8] => [8,3,1,6,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,2,6,5,1,8] => [8,1,5,6,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,5,2,3,1,8] => [8,1,3,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,1,2,5,4,8] => [8,4,5,2,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,2,3,1,5,8] => [8,5,1,3,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,4,7,8,5,1] => [1,5,8,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,1,4,6,3,5,2,8] => [8,2,5,3,6,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,4,8,1,5,2,6] => [6,2,5,1,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,1,3,6,5,2,7,4] => [4,7,2,5,6,3,1,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,7,4,6,3,2,8,1] => [1,8,2,3,6,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,6,1,5,7,4,8] => [8,4,7,5,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,2,3,8,1,4] => [4,1,8,3,2,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,1,4,7,3,2,5,8] => [8,5,2,3,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,6,3,8,2,4] => [4,2,8,3,6,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[2,1,7,8,3,5,4,6] => [6,4,5,3,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,7,3,1,8,2,4] => [4,2,8,1,3,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,8,4,2,1,6] => [6,1,2,4,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,1,8,4,5,2,6] => [6,2,5,4,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,3,7,1,4,6,2,8] => [8,2,6,4,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,5,4,6,3,8] => [8,3,6,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,5,4,6,8,1] => [1,8,6,4,5,2,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,1,7,2,5,8,3,6] => [6,3,8,5,2,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,3,6,1,5,8,2,4] => [4,2,8,5,1,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,1,3,8,5,4,2,6] => [6,2,4,5,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,1,6,3,5,4,7,8] => [8,7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,4,7,3,1,8] => [8,1,3,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,6,7,2,5,3,8] => [8,3,5,2,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,3,2,8,5,6] => [6,5,8,2,3,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,3,5,2,4,7,1,6] => [6,1,7,4,2,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[1,6,7,3,5,8,2,4] => [4,2,8,5,3,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,2,5,1,4,3,6,8] => [8,6,3,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,2,3,1,7,8] => [8,7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,7,6,1,3,8] => [8,3,1,6,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,1,4,3,7,2,8] => [8,2,7,3,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,7,5,3,1,8] => [8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,5,7,3,1,8] => [8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,4,5,8,1,6] => [6,1,8,5,4,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,7,1,5,8,2,6] => [6,2,8,5,1,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,5,6,3,1,7,2,8] => [8,2,7,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,5,2,3,6,8] => [8,6,3,2,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,1,8,4,6] => [6,4,8,1,2,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,1,2,5,3,6,8] => [8,6,3,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,5,1,2,6,8] => [8,6,2,1,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,5,4,2,1,8] => [8,1,2,4,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,3,6,5,1,8] => [8,1,5,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,3,1,5,6,8] => [8,6,5,1,3,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,4,3,1,7,5,8] => [8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,5,1,2,3,7,8] => [8,7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,1,4,2,7,8] => [8,7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,1,3,6,4,8] => [8,4,6,3,1,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,1,3,2,5,7,8] => [8,7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,8,3,2,5,6] => [6,5,2,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,4,7,1,3,6,2,8] => [8,2,6,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,7,3,6,4,8] => [8,4,6,3,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,6,5,3,4,8] => [8,4,3,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,1,6,5,2,8] => [8,2,5,6,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,8,3,1,5,6] => [6,5,1,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,4,1,3,7,5,6] => [6,5,7,3,1,4,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,7,2,5,3,8,1,6] => [6,1,8,3,5,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,5,2,3,6,4,1,7] => [7,1,4,6,3,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,5,2,1,6,3,4,7] => [7,4,3,6,1,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,3,7,6,2,8,1,4] => [4,1,8,2,6,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,7,6,5,4,1,2,8] => [8,2,1,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,5,3,2,8,1] => [1,8,2,3,5,7,4,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,8,1,2,4,5,3,6] => [6,3,5,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[7,3,2,4,1,8,5,6] => [6,5,8,1,4,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,2,4,3,6,1,5,8] => [8,5,1,6,3,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,8,5,3,1,6] => [6,1,3,5,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[5,7,3,1,6,4,2,8] => [8,2,4,6,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,5,4,3,2,8] => [8,2,3,4,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,3,1,7,2,8] => [8,2,7,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,1,7,6,5,4,3,2,8] => [8,2,3,4,5,6,7,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[5,7,2,4,6,3,8,1] => [1,8,3,6,4,2,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,4,1,5,2,8,3,6] => [6,3,8,2,5,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,4,2,6,5,3,8,1] => [1,8,3,5,6,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,4,7,3,5,8,1,6] => [6,1,8,5,3,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,7,2,5,8,6,1] => [1,6,8,5,2,7,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,2,7,4,5,1,6,8] => [8,6,1,5,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,3,1,4,6,8] => [8,6,4,1,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,3,5,6,1,8] => [8,1,6,5,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,5,3,1,6,8] => [8,6,1,3,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,6,3,5,8,1] => [1,8,5,3,6,2,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,3,2,1,7,4,8] => [8,4,7,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,6,3,8,1,4] => [4,1,8,3,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,5,7,6,3,4,2,8] => [8,2,4,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,7,2,3,6,8] => [8,6,3,2,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,6,4,7,5,1] => [1,5,7,4,6,3,2,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,2,1,6,4,7,3,8] => [8,3,7,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,7,6,1,3,8] => [8,3,1,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,1,8,3,6] => [6,3,8,1,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[7,3,2,6,5,8,1,4] => [4,1,8,5,6,2,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,6,2,5,7,4,8,1] => [1,8,4,7,5,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,4,7,2,3,8,5,1] => [1,5,8,3,2,7,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,6,1,3,2,5,7,8] => [8,7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,1,5,8,2,6] => [6,2,8,5,1,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,7,4,6,2,3,8,1] => [1,8,3,2,6,4,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,5,6,3,7,4,8,1] => [1,8,4,7,3,6,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,6,5,3,8,4,7,1] => [1,7,4,8,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,7,2,3,6,8,5,1] => [1,5,8,6,3,2,7,4] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,6,4,7,5,2,1,8] => [8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,4,1,7,3,8] => [8,3,7,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,1,5,2,3,8] => [8,3,2,5,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,2,6,3,1,8] => [8,1,3,6,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,6,2,5,3,1,4,7] => [7,4,1,3,5,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,3,7,6,1,5,2,8] => [8,2,5,1,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,3,4,1,7,2,6] => [6,2,7,1,4,3,5,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,4,6,5,3,2,8,1] => [1,8,2,3,5,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,2,6,5,7,3,1] => [1,3,7,5,6,2,4,8] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 1

[3,2,6,4,7,1,5,8] => [8,5,1,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,7,2,5,3,6,8] => [8,6,3,5,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,7,5,1,2,3,8] => [8,3,2,1,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,4,6,1,7,2,8] => [8,2,7,1,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,4,3,6,7,5] => [5,7,6,3,4,1,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[4,5,2,6,7,3,8,1] => [1,8,3,7,6,2,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,7,1,8,5,3,2,6] => [6,2,3,5,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,4,5,2,7,1,3,8] => [8,3,1,7,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,3,6,2,1,4,8] => [8,4,1,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,2,7,6,3,4,8] => [8,4,3,6,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,7,1,3,4,8] => [8,4,3,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,4,1,7,8] => [8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,6,2,4,7,3,8] => [8,3,7,4,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,7,2,5,3,8] => [8,3,5,2,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,3,6,1,4,8] => [8,4,1,6,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,5,1,8,2,6] => [6,2,8,1,5,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,2,5,4,3,8,1] => [1,8,3,4,5,2,7,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,5,6,4,1,2,8] => [8,2,1,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,5,3,4,2,8] => [8,2,4,3,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,3,7,1,6,8] => [8,6,1,7,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,6,2,4,5,8] => [8,5,4,2,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,6,1,3,2,8] => [8,2,3,1,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,5,7,6,2,8] => [8,2,6,7,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,4,3,7,5,6] => [6,5,7,3,4,1,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[4,7,6,1,3,2,5,8] => [8,5,2,3,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,7,8,5,1] => [1,5,8,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,2,3,4,5,7,8,9,10,1] => [1,10,9,8,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[4,2,7,3,6,1,5,8] => [8,5,1,6,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,1,4,7,2,8] => [8,2,7,4,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,7,5,8,4,6] => [6,4,8,5,7,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,7,6,5,2,3,8] => [8,3,2,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,1,3,7,6,5,8] => [8,5,6,7,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,2,1,3,7,5,8] => [8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,5,1,7,2,8] => [8,2,7,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,3,8,2,6,7,1] => [1,7,6,2,8,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,6,1,2,5,4,7,8] => [8,7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,4,2,1,7,3,8] => [8,3,7,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,6,5,3,8,1] => [1,8,3,5,6,7,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,3,7,6,4,8,5,1] => [1,5,8,4,6,7,3,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[6,4,7,1,2,5,3,8] => [8,3,5,2,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,2,7,8,3,4] => [4,3,8,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,3,2,5,7,4,1,8] => [8,1,4,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,7,5,3,1,2,8] => [8,2,1,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,7,4,6,3,8] => [8,3,6,4,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,5,8,3,2,4,6] => [6,4,2,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,2,5,6,4,1,7] => [7,1,4,6,5,2,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,4,2,1,7,3,5,8] => [8,5,3,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,7,1,8,2,4] => [4,2,8,1,7,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,1,2,3,6,5,8] => [8,5,6,3,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,6,3,4,5,8] => [8,5,4,3,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,2,4,1,5,8] => [8,5,1,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,3,1,8,5,6] => [6,5,8,1,3,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,1,3,5,7,8,2,4] => [4,2,8,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,5,8,1,3,2,6] => [6,2,3,1,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,8,1,2,5,4,3,6] => [6,3,4,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,1,2,7,6,5,4,8] => [8,4,5,6,7,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,1,6,5,3,8] => [8,3,5,6,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,7,6,5,8,1,2] => [2,1,8,5,6,7,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[4,1,5,3,6,2,7,8] => [8,7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,4,1,5,3,8] => [8,3,5,1,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,1,4,2,8] => [8,2,4,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,8,2,5,4,6] => [6,4,5,2,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,4,2,1,6,3,7,5] => [5,7,3,6,1,2,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[2,3,6,1,7,5,4,8] => [8,4,5,7,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,5,4,1,3,2,8] => [8,2,3,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,7,1,4,3,5,8] => [8,5,3,4,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,5,2,7,6,8] => [8,6,7,2,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[7,3,2,6,5,1,4,8] => [8,4,1,5,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,6,8,3,7,1] => [1,7,3,8,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,3,6,5,1,8,2,4] => [4,2,8,1,5,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,6,1,4,3,2,7,5] => [5,7,2,3,4,1,6,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[5,3,7,1,2,6,4,8] => [8,4,6,2,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,5,6,2,3,8] => [8,3,2,6,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,6,5,2,3,8] => [8,3,2,5,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,5,3,2,7,4,8] => [8,4,7,2,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,7,5,3,2,6,8] => [8,6,2,3,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,2,5,6,3,8] => [8,3,6,5,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,1,2,5,6,3,8] => [8,3,6,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,3,4,6,2,1,8] => [8,1,2,6,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,6,2,4,1,8] => [8,1,4,2,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,5,6,1,4,8] => [8,4,1,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,1,4,7,2,8] => [8,2,7,4,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,8,5,4,1,6] => [6,1,4,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,6,2,1,4,5,3,7] => [7,3,5,4,1,2,6,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,2,7,4,3,6,8] => [8,6,3,4,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,6,3,2,4,8] => [8,4,2,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,6,1,5,3,4,7] => [7,4,3,5,1,6,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,6,3,8,5,4,7,1] => [1,7,4,5,8,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,3,5,6,1,8,2,4] => [4,2,8,1,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,6,7,2,3,5,8,1] => [1,8,5,3,2,7,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,1,5,2,3,7,8] => [8,7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,6,2,4,3,8] => [8,3,4,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,4,1,7,5,8] => [8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,4,2,5,6,8] => [8,6,5,2,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,3,4,1,5,7,8] => [8,7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,3,7,8,2,4] => [4,2,8,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,1,3,6,2,4,8] => [8,4,2,6,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,2,3,6,8,1] => [1,8,6,3,2,5,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,6,4,1,2,5,7,8] => [8,7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,4,2,8,1,6] => [6,1,8,2,4,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,1,3,2,8,5,6] => [6,5,8,2,3,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,7,2,3,5,8,6,1] => [1,6,8,5,3,2,7,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,7,2,4,5,8,6,1] => [1,6,8,5,4,2,7,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[4,7,6,3,5,2,8,1] => [1,8,2,5,3,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,3,1,4,7,5,2,6] => [6,2,5,7,4,1,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[3,4,5,7,1,6,2,8] => [8,2,6,1,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,6,2,5,8,1] => [1,8,5,2,6,3,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,4,2,3,1,6,7,5] => [5,7,6,1,3,2,4,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[10,9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,7),(2,9),(3,9),(4,1),(5,4),(6,5),(7,8),(8,2),(8,3),(9,6)],10) => 1

[5,2,6,4,3,7,1,8] => [8,1,7,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,4,2,6,5,8] => [8,5,6,2,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,7,2,3,8] => [8,3,2,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(1,8),(2,8),(4,5),(5,7),(6,4),(7,1),(7,2),(8,3)],9) => 1

[8,2,4,5,7,1,3,6] => [6,3,1,7,5,4,2,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[3,1,4,7,5,2,6,8] => [8,6,2,5,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,6,2,3,5,8] => [8,5,3,2,6,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,4,2,1,8] => [8,1,2,4,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,3,4,2,6,8] => [8,6,2,4,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,4,7,1,3,8] => [8,3,1,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,1,7,2,6,5,8] => [8,5,6,2,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,3,6,1,5,8] => [8,5,1,6,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,5,3,1,6,8] => [8,6,1,3,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,3,5,1,6,2,4] => [4,2,6,1,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(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) => 4

[7,3,2,6,4,5,8,1] => [1,8,5,4,6,2,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,7,1,5,8,3,4] => [4,3,8,5,1,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,7,3,6,4,2,1,8] => [8,1,2,4,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,2,6,7,8,1,4] => [4,1,8,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,6,5,3,2,1,8] => [8,1,2,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,1,3,4,2,6,7] => [7,6,2,4,3,1,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,1,5,3,4,2,7,8] => [8,7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,6,4,7,1,8] => [8,1,7,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,2,3,5,8,1,4] => [4,1,8,5,3,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,5,8,2,3,1,6] => [6,1,3,2,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,1,2,5,3,8,4,6] => [6,4,8,3,5,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,7,5,2,1,4,3,8] => [8,3,4,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,2,5,4,3,8,1] => [1,8,3,4,5,2,6,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,6,7,2,5,1,8] => [8,1,5,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,3,2,6,5,7] => [7,5,6,2,3,1,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,6,3,4,8,5,7,1] => [1,7,5,8,4,3,6,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[5,7,1,6,4,2,3,8] => [8,3,2,4,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,2,3,5,8,1] => [1,8,5,3,2,6,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,4,5,3,8,6,1] => [1,6,8,3,5,4,2,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[3,4,2,5,7,1,6,8] => [8,6,1,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,4,6,1,7,5,8] => [8,5,7,1,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,2,1,5,4,8] => [8,4,5,1,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,6,1,4,5,8] => [8,5,4,1,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,4,7,3,5,6] => [6,5,3,7,4,2,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[4,1,3,5,7,2,6,8] => [8,6,2,7,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,3,2,5,4,8] => [8,4,5,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,3,6,1,5,8] => [8,5,1,6,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,3,7,6,8,2,4] => [4,2,8,6,7,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,4,3,2,7,5,6,8] => [8,6,5,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,2,7,1,8,3,6] => [6,3,8,1,7,2,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,2,6,8,5,7,1] => [1,7,5,8,6,2,4,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,6,2,4,7,5,8,1] => [1,8,5,7,4,2,6,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,1,4,2,6,3,7,8] => [8,7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,2,4,6,3,5,8] => [8,5,3,6,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,3,4,6,5,2,8] => [8,2,5,6,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,5,4,7,2,8] => [8,2,7,4,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,5,3,7,4,2,6] => [6,2,4,7,3,5,1,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[2,3,5,6,8,4,7,1] => [1,7,4,8,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,6,5,3,4,2,7,8] => [8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,6,7,5,2,3,8] => [8,3,2,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,9,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,9,8] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[7,2,6,4,3,8,5,1] => [1,5,8,3,4,6,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,3,6,4,2,5,8,1] => [1,8,5,2,4,6,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,3,4,6,1,5,8] => [8,5,1,6,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,4,1,8,5,6] => [6,5,8,1,4,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,5,3,4,7,8,6,1] => [1,6,8,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,2,1,6,4,3,7,5] => [5,7,3,4,6,1,2,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[8,2,3,5,4,1,7,6] => [6,7,1,4,5,3,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[3,5,6,7,4,8,1,2] => [2,1,8,4,7,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[5,7,3,6,2,1,4,8] => [8,4,1,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,5,1,3,6,7] => [7,6,3,1,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,5,4,1,8,2,6] => [6,2,8,1,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,3,5,1,6,2,7] => [7,2,6,1,5,3,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,1,3,5,4,2,6,8] => [8,6,2,4,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,7,6,2,4,8] => [8,4,2,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,7,5,1,6,3,8] => [8,3,6,1,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,1,7,3,6,8] => [8,6,3,7,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,1,6,2,3,8] => [8,3,2,6,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,3,5,4,2,6,8] => [8,6,2,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,1,7,6,8,2,4] => [4,2,8,6,7,1,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,1,2,8,4,3,5,6] => [6,5,3,4,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,1,4,2,8,5,6] => [6,5,8,2,4,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[5,2,6,1,7,4,3,8] => [8,3,4,7,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,5,1,7,2,8] => [8,2,7,1,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,6,2,1,5,7,8] => [8,7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,5,4,7,8,3,6] => [6,3,8,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[10,7,8,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,8,7,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[1,4,7,6,2,5,3,8] => [8,3,5,2,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,2,5,4,3,8] => [8,3,4,5,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,3,2,8,1,4] => [4,1,8,2,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,5,1,4,6,3,2,8] => [8,2,3,6,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,2,6,3,4,8] => [8,4,3,6,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,8,3,2,4,6] => [6,4,2,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,5,4,1,2,6,3,8] => [8,3,6,2,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,4,2,8,3,6] => [6,3,8,2,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,7,5,6,1,8,3,4] => [4,3,8,1,6,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,2,3,5,7,8,6,1] => [1,6,8,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[5,4,7,1,6,2,3,8] => [8,3,2,6,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,1,5,6,2,3,8] => [8,3,2,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,3,7,1,8] => [8,1,7,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,6,4,3,5,1,8] => [8,1,5,3,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,6,1,3,8,2,4] => [4,2,8,3,1,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,5,2,6,3,1,4,7] => [7,4,1,3,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,3,4,8,5,1,2,6] => [6,2,1,5,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,2,7,4,3,8,5,1] => [1,5,8,3,4,7,2,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[1,5,4,7,3,8,2,6] => [6,2,8,3,7,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,2,6,7,3,5,4,8] => [8,4,5,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,3,1,7,8] => [8,7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,2,4,6,3,5,7] => [7,5,3,6,4,2,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,7,3,4,2,8,6,1] => [1,6,8,2,4,3,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,6,4,2,3,8,5,1] => [1,5,8,3,2,4,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[3,5,6,8,2,4,7,1] => [1,7,4,2,8,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[3,7,4,2,6,8,5,1] => [1,5,8,6,2,4,7,3] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,1,3,6,4,2,7,8] => [8,7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,1,3,6,4,7] => [7,4,6,3,1,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,7,2,1,3,8,5,6] => [6,5,8,3,1,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,4,2,5,6,1,3,7] => [7,3,1,6,5,2,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,5,3,8,2,1,4,6] => [6,4,1,2,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[6,5,3,7,2,8,1,4] => [4,1,8,2,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,4,3,7,6,2,5,8] => [8,5,2,6,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,5,2,3,4,8] => [8,4,3,2,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,5,1,8,2,4] => [4,2,8,1,5,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,4,2,3,1,6,5,8] => [8,5,6,1,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,2,1,7,4,3,8] => [8,3,4,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,7,5,3,4,1,8] => [8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,8,3,5,1,6] => [6,1,5,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,7,6,3,2,1,5,8] => [8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,1,5,2,8] => [8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,1,2,5,3,7] => [7,3,5,2,1,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,2,7,4,3,8,1,6] => [6,1,8,3,4,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[6,5,7,2,1,4,3,8] => [8,3,4,1,2,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,4,6,2,3,8] => [8,3,2,6,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,6,3,4,2,8,5,1] => [1,5,8,2,4,3,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,4,1,2,3,7,6,8] => [8,6,7,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,4,8,5,7,1] => [1,7,5,8,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,3,6,1,4,2,5,8] => [8,5,2,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,6,7,5,8,1] => [1,8,5,7,6,3,2,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,2,4,5,8,6,1] => [1,6,8,5,4,2,3,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,2,7,1,3,5,4,8] => [8,4,5,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,2,5,4,7,8] => [8,7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,4,6,5,1,3,7] => [7,3,1,5,6,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,5,2,3,8,7,6,1] => [1,6,7,8,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[3,2,1,4,7,5,6,8] => [8,6,5,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[10,8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[6,4,5,1,3,7,2,8] => [8,2,7,3,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,5,1,3,6,2,7] => [7,2,6,3,1,5,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[4,2,3,7,1,8,5,6] => [6,5,8,1,7,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[4,2,6,7,1,5,3,8] => [8,3,5,1,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,6,2,7,5,8] => [8,5,7,2,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,1,5,2,6,8] => [8,6,2,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,2,4,8,5,7,1] => [1,7,5,8,4,2,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[2,6,7,4,3,5,8,1] => [1,8,5,3,4,7,6,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,3,4,7,6,2,8,1] => [1,8,2,6,7,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,2,6,5,1,4,8] => [8,4,1,5,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,1,7,3,2,4,8] => [8,4,2,3,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,8,3,5,7,1] => [1,7,5,3,8,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,5,6,1,3,7,2,8] => [8,2,7,3,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,4,3,7,5,2,6,8] => [8,6,2,5,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,6,5,1,2,8] => [8,2,1,5,6,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,5,2,6,1,8] => [8,1,6,2,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,2,3,5,4,8] => [8,4,5,3,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,1,3,5,4,6,7] => [7,6,4,5,3,1,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,7,4,2,5,6,8,1] => [1,8,6,5,2,4,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,1,3,7,2,8,5,6] => [6,5,8,2,7,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[2,6,3,7,4,5,1,8] => [8,1,5,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,1,3,2,6,8] => [8,6,2,3,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,4,8,1,5,3,6] => [6,3,5,1,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,6,5,2,4,1,7] => [7,1,4,2,5,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,1,5,4,3,7,2,8] => [8,2,7,3,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,4,6,1,2,7,8] => [8,7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,1,4,6,3,7,8] => [8,7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,6,1,3,2,8] => [8,2,3,1,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,4,5,7,3,8] => [8,3,7,5,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,4,7,2,3,6,8] => [8,6,3,2,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[10,1,8,7,6,5,4,3,2,9] => [9,2,3,4,5,6,7,8,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[6,3,4,7,2,5,1,8] => [8,1,5,2,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,5,7,1,3,8] => [8,3,1,7,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,7,5,1,4,8] => [8,4,1,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,3,2,1,4,8] => [8,4,1,2,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,7,5,2,3,8] => [8,3,2,5,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,7,5,4,1,2,8] => [8,2,1,4,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,2,5,1,7,4] => [4,7,1,5,2,6,3,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[3,6,4,7,2,1,5,8] => [8,5,1,2,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,3,7,4,5,8] => [8,5,4,7,3,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,4,2,1,5,8] => [8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,6,7,4,1,5,8] => [8,5,1,4,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,2,7,4,5,8,6,1] => [1,6,8,5,4,7,2,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[7,6,2,5,1,8,3,4] => [4,3,8,1,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,2,3,1,6,4,5,7] => [7,5,4,6,1,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,2,6,3,8,4,7,1] => [1,7,4,8,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,1,3,4,5,6,2,7] => [7,2,6,5,4,3,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,8,1,5,2,3,4,6] => [6,4,3,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[4,5,7,3,6,2,1,8] => [8,1,2,6,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,7,1,2,6,3,8] => [8,3,6,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,1,7,5,3,4,8] => [8,4,3,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,6,5,4,8,1] => [1,8,4,5,6,2,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,1,5,6,4,7,2,8] => [8,2,7,4,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,4,2,3,7,6,8] => [8,6,7,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,7,5,4,2,8] => [8,2,4,5,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,7,3,6,1,8] => [8,1,6,3,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,6,7,1,4,2,8] => [8,2,4,1,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,2,6,4,1,3,7] => [7,3,1,4,6,2,5,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[7,6,3,2,4,8,5,1] => [1,5,8,4,2,3,6,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[8,2,1,4,5,3,7,6] => [6,7,3,5,4,1,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[8,1,3,5,4,2,7,6] => [6,7,2,4,5,3,1,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[2,6,4,5,1,7,3,8] => [8,3,7,1,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,2,4,5,7,3,8] => [8,3,7,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,4,2,5,6,8] => [8,6,5,2,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,1,4,2,6,8] => [8,6,2,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,5,3,4,7,8,1] => [1,8,7,4,3,5,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[1,6,4,7,3,2,5,8] => [8,5,2,3,7,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,4,3,2,8,5,1] => [1,5,8,2,3,4,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[5,1,4,6,2,7,3,8] => [8,3,7,2,6,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,5,6,8,1,4] => [4,1,8,6,5,3,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[8,4,6,5,1,2,3,7] => [7,3,2,1,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,5,3,1,7,4,6,8] => [8,6,4,7,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,7,3,2,8] => [8,2,3,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,1,5,3,4,2,6] => [6,2,4,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[5,3,4,7,2,6,8,1] => [1,8,6,2,7,4,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,2,1,6,4,5,3,8] => [8,3,5,4,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,8,5,2,7,1] => [1,7,2,5,8,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[1,6,7,3,4,5,2,8] => [8,2,5,4,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,5,6,1,8,2,4] => [4,2,8,1,6,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,6,1,4,7,2,8] => [8,2,7,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,3,4,2,8,5,1] => [1,5,8,2,4,3,7,6] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,3,1,2,7,6,5,8] => [8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,1,2,6,7,5,8] => [8,5,7,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,5,2,7,8,1,4] => [4,1,8,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[5,2,4,6,3,7,8,1] => [1,8,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[4,6,2,5,3,7,1,8] => [8,1,7,3,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,1,7,6,2,4,8] => [8,4,2,6,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,5,6,3,8,7,1] => [1,7,8,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[8,3,1,4,5,2,7,6] => [6,7,2,5,4,1,3,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[4,5,7,2,3,1,6,8] => [8,6,1,3,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,7,3,1,2,6,8] => [8,6,2,1,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,7,1,2,5,3,4,8] => [8,4,3,5,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,7,3,1,5,8] => [8,5,1,3,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,6,1,4,5,8] => [8,5,4,1,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,1,3,4,2,7,5,6] => [6,5,7,2,4,3,1,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,2,4,6,3,7,1,8] => [8,1,7,3,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,7,8,6,1] => [1,6,8,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,2,1,6,5,3,7,4] => [4,7,3,5,6,1,2,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[7,4,5,1,6,2,3,8] => [8,3,2,6,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,2,1,5,8,4,6] => [6,4,8,5,1,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[1,4,6,3,5,7,2,8] => [8,2,7,5,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,4,7,5,2,6,8] => [8,6,2,5,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,5,8,6,3,7,1] => [1,7,3,6,8,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[4,3,7,8,5,6,1,2] => [2,1,6,5,8,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(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) => 2

[3,7,6,4,1,2,5,8] => [8,5,2,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,7,3,4,6,2,8] => [8,2,6,4,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,1,4,3,6,2,8] => [8,2,6,3,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,6,5,2,8,1,4] => [4,1,8,2,5,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,7,5,3,2,6,1,8] => [8,1,6,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,3,2,1,6,8] => [8,6,1,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,3,6,2,1,5,8] => [8,5,1,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,5,2,4,6,1,3,8] => [8,3,1,6,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,6,5,3,7,1,4,8] => [8,4,1,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,5,8,2,6,7,1] => [1,7,6,2,8,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[5,2,7,3,4,1,6,8] => [8,6,1,4,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,4,6,8,5,1] => [1,5,8,6,4,3,7,2] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[4,5,3,7,2,6,8,1] => [1,8,6,2,7,3,5,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,4,7,5,1,2,6,8] => [8,6,2,1,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,5,1,4,6,8] => [8,6,4,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,4,2,6,5,8] => [8,5,6,2,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,5,7,3,2,8] => [8,2,3,7,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,8,4,5,1,6] => [6,1,5,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[1,2,7,4,6,3,5,8] => [8,5,3,6,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,6,2,5,3,7,8,1] => [1,8,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,6,1,5,3,2,4,8] => [8,4,2,3,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,3,4,5,7,8,9,1] => [1,9,8,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[7,1,5,3,4,6,2,8] => [8,2,6,4,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,4,2,3,8,7,6,1] => [1,6,7,8,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => 1

[1,5,6,2,4,3,7,8] => [8,7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,2,5,7,3,4,8] => [8,4,3,7,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,1,7,5,2,8] => [8,2,5,7,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,6,4,2,5,1,7] => [7,1,5,2,4,6,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,7,2,3,1,6,8] => [8,6,1,3,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,5,1,3,4,7,6] => [6,7,4,3,1,5,2,8] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => 6

[2,4,7,5,3,1,6,8] => [8,6,1,3,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,3,7,1,4,6,5,8] => [8,5,6,4,1,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,3,2,7,5,6] => [6,5,7,2,3,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[3,6,4,5,7,8,1,2] => [2,1,8,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(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) => 2

[8,2,3,4,6,5,1,7] => [7,1,5,6,4,3,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[2,6,4,3,7,1,5,8] => [8,5,1,7,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,4,7,1,6,3,8] => [8,3,6,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,5,4,3,2,7,8] => [8,7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,6,3,1,5,8] => [8,5,1,3,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,3,7,2,8] => [8,2,7,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,1,5,7,3,8] => [8,3,7,5,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,6,5,2,3,1,7] => [7,1,3,2,5,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,7,6,2,1,4,3,8] => [8,3,4,1,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,6,1,4,3,8] => [8,3,4,1,6,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,7,5,4,6,8] => [8,6,4,5,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,7,1,4,5,2,8] => [8,2,5,4,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,5,6,1,4,8] => [8,4,1,6,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,6,3,2,7,4,8,1] => [1,8,4,7,2,3,6,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,5,4,7,1,3,2,8] => [8,2,3,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,4,1,5,3,8] => [8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,7,8,4,5,2,6] => [6,2,5,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,2,4,5,3,6,1,7] => [7,1,6,3,5,4,2,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,1,4,7,6,2,3,8] => [8,3,2,6,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,4,3,8,6,1] => [1,6,8,3,4,2,7,5] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[6,7,3,5,2,1,4,8] => [8,4,1,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,3,4,2,8,5,7,1] => [1,7,5,8,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[7,4,6,5,2,3,8,1] => [1,8,3,2,5,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,6,2,1,3,8] => [8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,1,4,7,5,3,8] => [8,3,5,7,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,3,7,2,5,6,4,8] => [8,4,6,5,2,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,2,4,7,3,5,8,1] => [1,8,5,3,7,4,2,6] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[3,7,2,6,4,5,8,1] => [1,8,5,4,6,2,7,3] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,6,3,1,4,2,8] => [8,2,4,1,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,7,3,5,2,4,8] => [8,4,2,5,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,8,1,5,4,6] => [6,4,5,1,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[8,3,1,6,4,5,2,7] => [7,2,5,4,6,1,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[8,1,2,6,3,4,7,5] => [5,7,4,3,6,2,1,8] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(5,7),(6,7)],8) => 5

[7,4,6,5,3,1,2,8] => [8,2,1,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,6,7,1,4,8] => [8,4,1,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,8,5,2,4,3,1,6] => [6,1,3,4,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[4,2,7,8,5,1,3,6] => [6,3,1,5,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[2,7,6,3,5,1,4,8] => [8,4,1,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,6,4,3,1,5,8] => [8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,2,4,5,3,8] => [8,3,5,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,2,3,5,1,8] => [8,1,5,3,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,6,4,2,5,1,8] => [8,1,5,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,1,8,3,4,2,6] => [6,2,4,3,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[4,6,5,2,3,7,1,8] => [8,1,7,3,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,7,2,5,6,8] => [8,6,5,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,2,3,1,5,7,4,6] => [6,4,7,5,1,3,2,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[6,5,2,4,8,3,7,1] => [1,7,3,8,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[8,6,3,4,2,7,5,1] => [1,5,7,2,4,3,6,8] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[1,5,6,2,7,4,3,8] => [8,3,4,7,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,5,6,1,2,8] => [8,2,1,6,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,4,5,7,6,1,2,8] => [8,2,1,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,6,4,1,3,8] => [8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,1,6,4,2,5,8] => [8,5,2,4,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,5,6,3,1,4,8] => [8,4,1,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,4,6,1,5,8] => [8,5,1,6,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,4,6,1,2,5,8] => [8,5,2,1,6,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,4,5,8,2,7,1] => [1,7,2,8,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[4,2,3,7,1,6,5,8] => [8,5,6,1,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,2,1,7,6,4,8] => [8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,4,3,2,8,5,7,1] => [1,7,5,8,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => 1

[6,3,7,4,2,5,1,8] => [8,1,5,2,4,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,3,6,4,2,7,8,1] => [1,8,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,7,2,5,4,3,8] => [8,3,4,5,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,6,5,3,7,1,8] => [8,1,7,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,5,3,2,8,4,6] => [6,4,8,2,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[9,2,4,6,1,3,5,7,8] => [8,7,5,3,1,6,4,2,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[10,2,4,6,8,1,3,5,7,9] => [9,7,5,3,1,8,6,4,2,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[1,7,6,2,5,4,3,8] => [8,3,4,5,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,1,4,5,8,2,6] => [6,2,8,5,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,5,6,7,2,1,4,8] => [8,4,1,2,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,3,5,2,7,1,6] => [6,1,7,2,5,3,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,5,2,6,3,4,1,8] => [8,1,4,3,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,1,3,2,6,8] => [8,6,2,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,3,5,2,7,4,8] => [8,4,7,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,2,1,4,3,7,8] => [8,7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,8,6,3,7,1] => [1,7,3,6,8,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[6,7,1,3,5,4,2,8] => [8,2,4,5,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,6,4,3,1,8] => [8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,6,4,1,5,8] => [8,5,1,4,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,1,7,4,6,8] => [8,6,4,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,3,1,6,5,8] => [8,5,6,1,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,4,3,2,1,6,8] => [8,6,1,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,1,7,3,6,8] => [8,6,3,7,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,6,1,5,3,8] => [8,3,5,1,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,3,6,1,5,8] => [8,5,1,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,6,2,3,4,8,1] => [1,8,4,3,2,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[8,1,4,5,2,6,3,7] => [7,3,6,2,5,4,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[6,1,4,7,3,5,2,8] => [8,2,5,3,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,3,6,2,1,8] => [8,1,2,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,7,5,4,2,3,8] => [8,3,2,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,5,6,7,4,2,8] => [8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,1,4,3,5,7,2,8] => [8,2,7,5,3,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,6,2,5,1,8] => [8,1,5,2,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,4,6,2,5,1,7] => [7,1,5,2,6,4,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,7,6,2,1,3,8] => [8,3,1,2,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,2,6,5,7,4,8] => [8,4,7,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,3,7,5,2,6,8,1] => [1,8,6,2,5,7,3,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[2,1,7,6,4,3,5,8] => [8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,6,3,4,7,5,2,8] => [8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,2,3,1,8,5,6] => [6,5,8,1,3,2,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[8,1,5,6,2,3,4,7] => [7,4,3,2,6,5,1,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[3,6,7,5,1,8,2,4] => [4,2,8,1,5,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,7,2,6,4,5,1,8] => [8,1,5,4,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,4,1,3,5,7,2,6] => [6,2,7,5,3,1,4,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[5,7,1,3,6,4,2,8] => [8,2,4,6,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,5,6,2,3,8,7,1] => [1,7,8,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[3,4,1,7,6,2,5,8] => [8,5,2,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,4,3,6,8,5,1] => [1,5,8,6,3,4,2,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

[7,4,2,3,5,8,6,1] => [1,6,8,5,3,2,4,7] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 1

[8,4,6,3,2,5,1,7] => [7,1,5,2,3,6,4,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[5,4,7,2,3,6,1,8] => [8,1,6,3,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,3,8,5,1,2,6] => [6,2,1,5,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6

[7,3,1,2,6,5,4,8] => [8,4,5,6,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,1,6,3,7,8] => [8,7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,6,1,3,7,8] => [8,7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,4,6,5,7,1,3,8] => [8,3,1,7,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,7,6,3,4,1,8] => [8,1,4,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,3,4,1,6,5,8] => [8,5,6,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,5,7,1,6,8] => [8,6,1,7,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,3,6,1,5,7,8] => [8,7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,7,1,4,6,8] => [8,6,4,1,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,4,5,3,1,6,2,8] => [8,2,6,1,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,3,8,6,4,7,1] => [1,7,4,6,8,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => 1

[7,6,2,1,4,3,5,8] => [8,5,3,4,1,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,3,4,6,7,8,9,1] => [1,9,8,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[5,2,7,6,3,1,4,8] => [8,4,1,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,5,6,1,2,3,8] => [8,3,2,1,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,4,1,7,2,6] => [6,2,7,1,4,5,3,8] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8) => 6

[7,4,6,3,2,5,8,1] => [1,8,5,2,3,6,4,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,6,4,2,3,8,1] => [1,8,3,2,4,6,7,5] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,1,3,2,5,7,4,8] => [8,4,7,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,1,3,5,7,6,2,8] => [8,2,6,7,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,2,5,3,6,8,1] => [1,8,6,3,5,2,7,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[5,7,4,2,3,6,1,8] => [8,1,6,3,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,3,5,2,4,6,8,1] => [1,8,6,4,2,5,3,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[7,3,4,2,5,8,1,6] => [6,1,8,5,2,4,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6

[3,4,1,7,6,5,2,8] => [8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,5,6,3,2,7,4,8] => [8,4,7,2,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,1,3,7,4,6,5,8] => [8,5,6,4,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,5,6,8,9,1] => [1,9,8,6,5,4,3,2,7] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,6,2,5,7,4,1,8] => [8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,3,5,2,6,8] => [8,6,2,5,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,2,1,7,6,3,5,8] => [8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[4,3,1,7,2,6,5,8] => [8,5,6,2,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,6,5,1,2,4,7,8] => [8,7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,4,2,7,5,1,6] => [6,1,5,7,2,4,3,8] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8) => 6

[10,1,2,3,6,7,4,5,8,9] => [9,8,5,4,7,6,3,2,1,10] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10) => 9

[2,3,8,9,6,7,4,5,10,1] => [1,10,5,4,7,6,9,8,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,3,8,9,4,5,6,7,10,1] => [1,10,7,6,5,4,9,8,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,3,6,7,8,9,4,5,10,1] => [1,10,5,4,9,8,7,6,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,3,4,7,8,5,6,9,10,1] => [1,10,9,6,5,8,7,4,3,2] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[8,6,1,5,3,2,7,4] => [4,7,2,3,5,1,6,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[5,2,6,1,7,8,3,4] => [4,3,8,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[6,2,5,7,3,8,1,4] => [4,1,8,3,7,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,2,4,5,3,1,6] => [6,1,3,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(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) => 6

[3,5,2,4,6,7,1,8] => [8,1,7,6,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,5,7,6,3,4,8,1] => [1,8,4,3,6,7,5,2] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 1

[6,2,1,4,7,3,5,8] => [8,5,3,7,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,7,2,1,6,4,5,8] => [8,5,4,6,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,3,5,4,6,2,1,7] => [7,1,2,6,4,5,3,8] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => 7

[1,4,7,6,3,5,2,8] => [8,2,5,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,3,4,5,6,8,9,10,1] => [1,10,9,8,6,5,4,3,2,7] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[7,2,5,6,4,1,3,8] => [8,3,1,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,1,6,4,2,5,7,8] => [8,7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[2,7,1,3,4,6,5,8] => [8,5,6,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,1,7,3,2,6,4,8] => [8,4,6,2,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[6,5,4,1,3,2,7,8] => [8,7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,2,4,3,6,7,8,9,1] => [1,9,8,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[5,2,3,4,6,7,8,9,10,1] => [1,10,9,8,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[6,2,3,5,4,7,8,9,1] => [1,9,8,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[7,2,3,4,6,5,8,9,1] => [1,9,8,5,6,4,3,2,7] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[8,2,3,4,5,7,6,9,1] => [1,9,6,7,5,4,3,2,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[8,2,3,4,5,6,7,9,10,1] => [1,10,9,7,6,5,4,3,2,8] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[4,6,5,1,3,2,7,8] => [8,7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,1,2,3,4,7,6,5,8] => [8,5,6,7,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[4,1,5,3,7,2,6,8] => [8,6,2,7,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,2,1,6,4,3,5,8] => [8,5,3,4,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[5,7,2,1,4,3,6,8] => [8,6,3,4,1,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[3,5,7,2,4,6,8,9,1] => [1,9,8,6,4,2,7,5,3] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 1

[3,5,7,9,2,4,6,8,10,1] => [1,10,8,6,4,2,9,7,5,3] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10) => 1

[2,7,1,5,3,6,4,8] => [8,4,6,3,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[1,7,4,6,5,2,3,8] => [8,3,2,5,6,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[7,1,4,3,2,6,5,8] => [8,5,6,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[8,5,6,1,2,3,7,4] => [4,7,3,2,1,6,5,8] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7)],8) => 4

[4,3,7,5,6,2,1,8] => [8,1,2,6,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[4,7,6,2,1,3,5,8] => [8,5,3,1,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8

[9,1,2,3,4,6,5,7,8] => [8,7,5,6,4,3,2,1,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[4,5,2,3,6,8,7,1] => [1,7,8,6,3,2,5,4] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 1

[9,3,5,7,1,2,4,6,8] => [8,6,4,2,1,7,5,3,9] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9) => 8

[7,3,2,4,6,8,5,1] => [1,5,8,6,4,2,3,7] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 1

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$F_{1} = q$

$F_{2} = q + q^{2}$

$F_{3} = 2\ q + 2\ q^{2} + 2\ q^{3}$

$F_{4} = 6\ q + 6\ q^{2} + 6\ q^{3} + 6\ q^{4}$

$F_{5} = 24\ q + 24\ q^{2} + 24\ q^{3} + 24\ q^{4} + 24\ q^{5}$

$F_{6} = 120\ q + 120\ q^{2} + 120\ q^{3} + 120\ q^{4} + 120\ q^{5} + 120\ q^{6}$

Description

The number of maximal elements of a poset.

Map

reverse

Description

Sends a permutation to its reverse.
The reverse of a permutation

$\sigma$ of length

$n$ is given by

$\tau$ with

$\tau(i) = \sigma(n+1-i)$ .

Map

left-to-right-maxima to Dyck path

Description

The left-to-right maxima of a permutation as a Dyck path.
Let

$(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are

$c_1, c_1+c_2, \dots, c_1+\dots+c_k$ .
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.

Map

Hessenberg poset

Description

The Hessenberg poset of a Dyck path.
Let

$D$ be a Dyck path of semilength

$n$ , regarded as a subdiagonal path from

$(0,0)$ to

$(n,n)$ , and let

$\boldsymbol{m}_i$ be the

$x$ -coordinate of the

$i$ -th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to

$D$ has elements

$\{1,\dots,n\}$ with

$i < j$ if

$j < \boldsymbol{m}_i$ .