- FindStat

Identifier

Mp00064: Permutations —reverse⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St000911: Posets ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 3256 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[2,1,4,3,6,5] => [5,6,3,4,1,2] => ([(0,5),(1,4),(2,3)],6) => 8

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[2,1,6,5,4,3] => [3,4,5,6,1,2] => ([(0,5),(1,3),(4,2),(5,4)],6) => 8

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[2,6,1,5,4,3] => [3,4,5,1,6,2] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[3,1,6,5,4,2] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7

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

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

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

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

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

[3,2,1,6,5,4] => [4,5,6,1,2,3] => ([(0,5),(1,4),(4,2),(5,3)],6) => 9

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

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

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

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

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

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

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

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

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

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

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

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

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

[3,2,6,1,5,4] => [4,5,1,6,2,3] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 8

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

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

[3,2,6,5,1,4] => [4,1,5,6,2,3] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[3,6,2,1,5,4] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[4,2,1,6,5,3] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 8

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

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

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

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

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

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

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

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

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

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

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

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

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

[4,2,6,1,5,3] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 7

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

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

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

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

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

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

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

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

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

[4,3,1,6,5,2] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7

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

[4,3,2,1,6,5] => [5,6,1,2,3,4] => ([(0,5),(1,3),(4,2),(5,4)],6) => 8

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

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

[4,3,2,6,1,5] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[5,2,1,6,4,3] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[5,3,2,1,6,4] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[6,3,4,2,5,1] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1

[6,3,4,5,1,2] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1

[6,3,4,5,2,1] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1

[6,3,5,1,2,4] => [4,2,1,5,3,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[6,3,5,1,4,2] => [2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4

[6,3,5,2,1,4] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4

[6,3,5,2,4,1] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3

[6,3,5,4,1,2] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3

[6,3,5,4,2,1] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2

[6,4,1,2,3,5] => [5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 1

[6,4,1,2,5,3] => [3,5,2,1,4,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 2

[6,4,1,3,2,5] => [5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 2

[6,4,1,3,5,2] => [2,5,3,1,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1

[6,4,1,5,2,3] => [3,2,5,1,4,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1

[6,4,1,5,3,2] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4

[6,4,2,1,3,5] => [5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 2

[6,4,2,1,5,3] => [3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 5

[6,4,2,3,1,5] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1

[6,4,2,3,5,1] => [1,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1

[6,4,2,5,1,3] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4

[6,4,2,5,3,1] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3

[6,4,3,1,2,5] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1

[6,4,3,1,5,2] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4

[6,4,3,2,1,5] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 4

[6,4,3,2,5,1] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3

[6,4,3,5,1,2] => [2,1,5,3,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3

[6,4,3,5,2,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2

[6,4,5,1,2,3] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1

[6,4,5,1,3,2] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3

[6,4,5,2,1,3] => [3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3

[6,4,5,2,3,1] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2

[6,4,5,3,1,2] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2

[6,4,5,3,2,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1

[6,5,1,2,3,4] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1

[6,5,1,2,4,3] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2

[6,5,1,3,2,4] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2

[6,5,1,3,4,2] => [2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1

[6,5,1,4,2,3] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1

[6,5,1,4,3,2] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3

[6,5,2,1,3,4] => [4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2

[6,5,2,1,4,3] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 4

[6,5,2,3,1,4] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1

[6,5,2,3,4,1] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1

[6,5,2,4,1,3] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3

[6,5,2,4,3,1] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2

[6,5,3,1,2,4] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1

[6,5,3,1,4,2] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3

[6,5,3,2,1,4] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3

[6,5,3,2,4,1] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2

[6,5,3,4,1,2] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2

[6,5,3,4,2,1] => [1,2,4,3,5,6] => ([(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] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1

[6,5,4,1,3,2] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2

[6,5,4,2,1,3] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2

[6,5,4,2,3,1] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1

[6,5,4,3,1,2] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1

[6,5,4,3,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => ([],7) => 1

[1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => ([(5,6)],7) => 2

[1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => ([(5,6)],7) => 2

[1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => ([(4,5),(4,6)],7) => 1

[1,2,3,4,7,5,6] => [6,5,7,4,3,2,1] => ([(4,6),(5,6)],7) => 1

[1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => ([(4,5),(5,6)],7) => 3

[1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => ([(5,6)],7) => 2

[1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => ([(3,6),(4,5)],7) => 4

[1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => ([(4,5),(4,6)],7) => 1

[1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => ([(3,4),(3,5),(3,6)],7) => 1

[1,2,3,5,7,4,6] => [6,4,7,5,3,2,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,2,3,5,7,6,4] => [4,6,7,5,3,2,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,2,3,6,4,5,7] => [7,5,4,6,3,2,1] => ([(4,6),(5,6)],7) => 1

[1,2,3,6,4,7,5] => [5,7,4,6,3,2,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => ([(4,5),(5,6)],7) => 3

[1,2,3,6,5,7,4] => [4,7,5,6,3,2,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,2,3,6,7,4,5] => [5,4,7,6,3,2,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,2,3,6,7,5,4] => [4,5,7,6,3,2,1] => ([(3,4),(4,5),(4,6)],7) => 1

[1,2,3,7,4,5,6] => [6,5,4,7,3,2,1] => ([(3,6),(4,6),(5,6)],7) => 1

[1,2,3,7,5,6,4] => [4,6,5,7,3,2,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,2,3,7,6,4,5] => [5,4,6,7,3,2,1] => ([(3,6),(4,6),(6,5)],7) => 1

[1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => ([(3,4),(4,6),(6,5)],7) => 4

[1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => ([(5,6)],7) => 2

[1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => ([(3,6),(4,5)],7) => 4

[1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => ([(3,6),(4,5)],7) => 4

[1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,2,4,3,7,5,6] => [6,5,7,3,4,2,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => ([(4,5),(4,6)],7) => 1

[1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => ([(3,4),(3,5),(3,6)],7) => 1

[1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => ([(2,3),(2,4),(2,5),(2,6)],7) => 1

[1,2,4,5,7,3,6] => [6,3,7,5,4,2,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[1,2,4,5,7,6,3] => [3,6,7,5,4,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,2,4,6,3,5,7] => [7,5,3,6,4,2,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,2,4,6,5,3,7] => [7,3,5,6,4,2,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,2,4,6,7,5,3] => [3,5,7,6,4,2,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,2,4,7,3,5,6] => [6,5,3,7,4,2,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,2,4,7,5,6,3] => [3,6,5,7,4,2,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,2,4,7,6,3,5] => [5,3,6,7,4,2,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[1,2,5,3,4,6,7] => [7,6,4,3,5,2,1] => ([(4,6),(5,6)],7) => 1

[1,2,5,3,4,7,6] => [6,7,4,3,5,2,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,2,5,3,6,4,7] => [7,4,6,3,5,2,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,2,5,3,6,7,4] => [4,7,6,3,5,2,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[1,2,5,3,7,4,6] => [6,4,7,3,5,2,1] => ([(2,6),(3,5),(4,5),(4,6)],7) => 1

[1,2,5,3,7,6,4] => [4,6,7,3,5,2,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => ([(4,5),(5,6)],7) => 3

[1,2,5,4,6,3,7] => [7,3,6,4,5,2,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,2,5,4,6,7,3] => [3,7,6,4,5,2,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,2,5,4,7,3,6] => [6,3,7,4,5,2,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[1,2,5,4,7,6,3] => [3,6,7,4,5,2,1] => ([(2,5),(2,6),(5,4),(6,3)],7) => 4

[1,2,5,6,3,4,7] => [7,4,3,6,5,2,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,2,5,6,4,3,7] => [7,3,4,6,5,2,1] => ([(3,4),(4,5),(4,6)],7) => 1

[1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,2,5,6,7,4,3] => [3,4,7,6,5,2,1] => ([(2,6),(6,3),(6,4),(6,5)],7) => 1

[1,2,5,7,3,4,6] => [6,4,3,7,5,2,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,2,5,7,4,6,3] => [3,6,4,7,5,2,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[1,2,5,7,6,3,4] => [4,3,6,7,5,2,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[1,2,6,3,4,5,7] => [7,5,4,3,6,2,1] => ([(3,6),(4,6),(5,6)],7) => 1

[1,2,6,3,4,7,5] => [5,7,4,3,6,2,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,2,6,3,7,4,5] => [5,4,7,3,6,2,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,2,6,4,5,3,7] => [7,3,5,4,6,2,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,2,6,4,5,7,3] => [3,7,5,4,6,2,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,2,6,4,7,5,3] => [3,5,7,4,6,2,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[1,2,6,5,3,4,7] => [7,4,3,5,6,2,1] => ([(3,6),(4,6),(6,5)],7) => 1

[1,2,6,5,3,7,4] => [4,7,3,5,6,2,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => ([(3,4),(4,6),(6,5)],7) => 4

[1,2,6,5,7,3,4] => [4,3,7,5,6,2,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[1,2,6,7,3,4,5] => [5,4,3,7,6,2,1] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,2,6,7,4,5,3] => [3,5,4,7,6,2,1] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,2,6,7,5,3,4] => [4,3,5,7,6,2,1] => ([(2,6),(3,6),(6,4),(6,5)],7) => 2

[1,2,6,7,5,4,3] => [3,4,5,7,6,2,1] => ([(2,5),(5,6),(6,3),(6,4)],7) => 1

[1,2,7,3,4,5,6] => [6,5,4,3,7,2,1] => ([(2,6),(3,6),(4,6),(5,6)],7) => 1

[1,2,7,3,4,6,5] => [5,6,4,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,2,7,3,5,4,6] => [6,4,5,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,2,7,3,6,4,5] => [5,4,6,3,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,2,7,4,3,5,6] => [6,5,3,4,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,2,7,4,5,6,3] => [3,6,5,4,7,2,1] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[1,2,7,4,6,3,5] => [5,3,6,4,7,2,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[1,2,7,4,6,5,3] => [3,5,6,4,7,2,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[1,2,7,5,3,4,6] => [6,4,3,5,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,2,7,5,3,6,4] => [4,6,3,5,7,2,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[1,2,7,5,4,6,3] => [3,6,4,5,7,2,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[1,2,7,5,6,3,4] => [4,3,6,5,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[1,2,7,6,3,4,5] => [5,4,3,6,7,2,1] => ([(2,6),(3,6),(4,6),(6,5)],7) => 1

[1,2,7,6,4,5,3] => [3,5,4,6,7,2,1] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[1,2,7,6,5,3,4] => [4,3,5,6,7,2,1] => ([(2,6),(3,6),(4,5),(6,4)],7) => 1

[1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => ([(5,6)],7) => 2

[1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => ([(3,6),(4,5)],7) => 4

[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => ([(3,6),(4,5)],7) => 4

[1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,3,2,4,7,5,6] => [6,5,7,4,2,3,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => ([(3,6),(4,5)],7) => 4

[1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[1,3,2,6,4,5,7] => [7,5,4,6,2,3,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,3,2,6,7,4,5] => [5,4,7,6,2,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[1,3,2,7,4,5,6] => [6,5,4,7,2,3,1] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[1,3,2,7,6,4,5] => [5,4,6,7,2,3,1] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => ([(4,5),(4,6)],7) => 1

[1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => ([(2,6),(3,4),(3,5)],7) => 2

[1,3,4,2,7,5,6] => [6,5,7,2,4,3,1] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => ([(3,4),(3,5),(3,6)],7) => 1

[1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => ([(2,3),(2,4),(2,5),(2,6)],7) => 1

[1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 1

[1,3,4,5,7,2,6] => [6,2,7,5,4,3,1] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[1,3,4,6,2,5,7] => [7,5,2,6,4,3,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[1,3,4,6,5,2,7] => [7,2,5,6,4,3,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,3,4,6,5,7,2] => [2,7,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[1,3,4,7,2,5,6] => [6,5,2,7,4,3,1] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[1,3,4,7,5,2,6] => [6,2,5,7,4,3,1] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[1,3,4,7,5,6,2] => [2,6,5,7,4,3,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[1,3,4,7,6,2,5] => [5,2,6,7,4,3,1] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3

[1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[1,3,5,2,4,6,7] => [7,6,4,2,5,3,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,3,5,4,2,6,7] => [7,6,2,4,5,3,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,3,5,4,6,2,7] => [7,2,6,4,5,3,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,3,5,4,6,7,2] => [2,7,6,4,5,3,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[1,3,5,4,7,2,6] => [6,2,7,4,5,3,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[1,3,5,4,7,6,2] => [2,6,7,4,5,3,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[1,3,5,6,4,2,7] => [7,2,4,6,5,3,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,3,5,6,4,7,2] => [2,7,4,6,5,3,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[1,3,5,7,4,6,2] => [2,6,4,7,5,3,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[1,3,6,2,4,5,7] => [7,5,4,2,6,3,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,3,6,2,7,4,5] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3

[1,3,6,4,5,2,7] => [7,2,5,4,6,3,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,3,6,4,5,7,2] => [2,7,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[1,3,6,4,7,5,2] => [2,5,7,4,6,3,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[1,3,6,5,2,4,7] => [7,4,2,5,6,3,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[1,3,6,5,4,7,2] => [2,7,4,5,6,3,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[1,3,6,7,2,4,5] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,3,6,7,4,5,2] => [2,5,4,7,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,3,6,7,5,2,4] => [4,2,5,7,6,3,1] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 1

[1,3,7,2,4,5,6] => [6,5,4,2,7,3,1] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,3,7,2,6,4,5] => [5,4,6,2,7,3,1] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[1,3,7,4,2,5,6] => [6,5,2,4,7,3,1] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[1,3,7,4,5,2,6] => [6,2,5,4,7,3,1] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,3,7,4,5,6,2] => [2,6,5,4,7,3,1] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[1,3,7,4,6,2,5] => [5,2,6,4,7,3,1] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,3,7,4,6,5,2] => [2,5,6,4,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[1,3,7,5,4,6,2] => [2,6,4,5,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[1,3,7,6,2,4,5] => [5,4,2,6,7,3,1] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[1,3,7,6,4,5,2] => [2,5,4,6,7,3,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[1,4,2,3,5,6,7] => [7,6,5,3,2,4,1] => ([(4,6),(5,6)],7) => 1

[1,4,2,3,5,7,6] => [6,7,5,3,2,4,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,4,2,3,6,5,7] => [7,5,6,3,2,4,1] => ([(2,6),(3,6),(4,5)],7) => 2

[1,4,2,3,6,7,5] => [5,7,6,3,2,4,1] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[1,4,2,3,7,5,6] => [6,5,7,3,2,4,1] => ([(1,6),(2,6),(3,5),(4,5)],7) => 1

[1,4,2,3,7,6,5] => [5,6,7,3,2,4,1] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[1,4,2,5,3,6,7] => [7,6,3,5,2,4,1] => ([(3,6),(4,5),(4,6)],7) => 3

[1,4,2,5,6,3,7] => [7,3,6,5,2,4,1] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[1,4,2,5,6,7,3] => [3,7,6,5,2,4,1] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[1,4,2,5,7,6,3] => [3,6,7,5,2,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[1,4,2,6,3,5,7] => [7,5,3,6,2,4,1] => ([(2,6),(3,5),(4,5),(4,6)],7) => 1

[1,4,2,6,5,3,7] => [7,3,5,6,2,4,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[1,4,2,6,5,7,3] => [3,7,5,6,2,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[1,4,2,6,7,3,5] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 3

[1,4,2,6,7,5,3] => [3,5,7,6,2,4,1] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 2

[1,4,2,7,3,5,6] => [6,5,3,7,2,4,1] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[1,4,2,7,5,6,3] => [3,6,5,7,2,4,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,4,2,7,6,3,5] => [5,3,6,7,2,4,1] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[1,4,2,7,6,5,3] => [3,5,6,7,2,4,1] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 7

[1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => ([(4,5),(5,6)],7) => 3

[1,4,3,2,7,5,6] => [6,5,7,2,3,4,1] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[1,4,3,5,2,6,7] => [7,6,2,5,3,4,1] => ([(3,4),(3,5),(5,6)],7) => 2

[1,4,3,5,6,2,7] => [7,2,6,5,3,4,1] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[1,4,3,5,6,7,2] => [2,7,6,5,3,4,1] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[1,4,3,5,7,2,6] => [6,2,7,5,3,4,1] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[1,4,3,5,7,6,2] => [2,6,7,5,3,4,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[1,4,3,6,2,5,7] => [7,5,2,6,3,4,1] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[1,4,3,6,5,2,7] => [7,2,5,6,3,4,1] => ([(2,5),(2,6),(5,4),(6,3)],7) => 4

[1,4,3,6,5,7,2] => [2,7,5,6,3,4,1] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[1,4,3,6,7,5,2] => [2,5,7,6,3,4,1] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[1,4,3,7,2,5,6] => [6,5,2,7,3,4,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[1,4,3,7,5,6,2] => [2,6,5,7,3,4,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[1,4,3,7,6,2,5] => [5,2,6,7,3,4,1] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 7

[1,4,5,2,3,6,7] => [7,6,3,2,5,4,1] => ([(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,4,5,2,3,7,6] => [6,7,3,2,5,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[1,4,5,2,7,3,6] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 3

[1,4,5,3,2,6,7] => [7,6,2,3,5,4,1] => ([(3,4),(4,5),(4,6)],7) => 1

[1,4,5,3,6,2,7] => [7,2,6,3,5,4,1] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,4,5,3,6,7,2] => [2,7,6,3,5,4,1] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[1,4,5,3,7,2,6] => [6,2,7,3,5,4,1] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 2

[1,4,5,3,7,6,2] => [2,6,7,3,5,4,1] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[1,4,5,6,3,2,7] => [7,2,3,6,5,4,1] => ([(2,6),(6,3),(6,4),(6,5)],7) => 1

[1,4,5,6,3,7,2] => [2,7,3,6,5,4,1] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 1

[1,4,5,7,2,3,6] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,4,5,7,3,6,2] => [2,6,3,7,5,4,1] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 2

[1,4,6,2,3,5,7] => [7,5,3,2,6,4,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,4,6,2,3,7,5] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3

[1,4,6,3,5,2,7] => [7,2,5,3,6,4,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[1,4,6,3,5,7,2] => [2,7,5,3,6,4,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[1,4,6,3,7,5,2] => [2,5,7,3,6,4,1] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 1

[1,4,6,5,2,3,7] => [7,3,2,5,6,4,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[1,4,6,7,3,5,2] => [2,5,3,7,6,4,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 1

[1,4,6,7,5,2,3] => [3,2,5,7,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,4,7,2,3,5,6] => [6,5,3,2,7,4,1] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,4,7,2,3,6,5] => [5,6,3,2,7,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[1,4,7,3,2,5,6] => [6,5,2,3,7,4,1] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[1,4,7,3,5,6,2] => [2,6,5,3,7,4,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[1,4,7,3,6,2,5] => [5,2,6,3,7,4,1] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 6

[1,4,7,5,2,3,6] => [6,3,2,5,7,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,4,7,6,2,3,5] => [5,3,2,6,7,4,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[1,4,7,6,3,5,2] => [2,5,3,6,7,4,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4

[1,4,7,6,5,2,3] => [3,2,5,6,7,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4

[1,5,2,3,4,6,7] => [7,6,4,3,2,5,1] => ([(3,6),(4,6),(5,6)],7) => 1

[1,5,2,3,4,7,6] => [6,7,4,3,2,5,1] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[1,5,2,3,6,4,7] => [7,4,6,3,2,5,1] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,5,2,3,6,7,4] => [4,7,6,3,2,5,1] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[1,5,2,3,7,4,6] => [6,4,7,3,2,5,1] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[1,5,2,3,7,6,4] => [4,6,7,3,2,5,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[1,5,2,4,6,7,3] => [3,7,6,4,2,5,1] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[1,5,2,6,3,4,7] => [7,4,3,6,2,5,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,5,2,6,7,3,4] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,2,7,3,4,6] => [6,4,3,7,2,5,1] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,5,2,7,6,3,4] => [4,3,6,7,2,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[1,5,3,4,2,6,7] => [7,6,2,4,3,5,1] => ([(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,5,3,4,6,2,7] => [7,2,6,4,3,5,1] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,5,3,4,6,7,2] => [2,7,6,4,3,5,1] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[1,5,3,4,7,2,6] => [6,2,7,4,3,5,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[1,5,3,4,7,6,2] => [2,6,7,4,3,5,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[1,5,3,6,4,2,7] => [7,2,4,6,3,5,1] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[1,5,3,6,4,7,2] => [2,7,4,6,3,5,1] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[1,5,3,6,7,4,2] => [2,4,7,6,3,5,1] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 2

[1,5,3,7,4,6,2] => [2,6,4,7,3,5,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 1

[1,5,4,2,3,6,7] => [7,6,3,2,4,5,1] => ([(3,6),(4,6),(6,5)],7) => 1

[1,5,4,2,3,7,6] => [6,7,3,2,4,5,1] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[1,5,4,2,6,3,7] => [7,3,6,2,4,5,1] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[1,5,4,2,6,7,3] => [3,7,6,2,4,5,1] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3

[1,5,4,2,7,3,6] => [6,3,7,2,4,5,1] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[1,5,4,2,7,6,3] => [3,6,7,2,4,5,1] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 7

[1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => ([(3,4),(4,6),(6,5)],7) => 4

[1,5,4,3,6,7,2] => [2,7,6,3,4,5,1] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[1,5,4,3,7,2,6] => [6,2,7,3,4,5,1] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 7

[1,5,4,6,2,3,7] => [7,3,2,6,4,5,1] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[1,5,4,7,2,3,6] => [6,3,2,7,4,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[1,5,4,7,6,2,3] => [3,2,6,7,4,5,1] => ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 5

[1,5,6,2,3,4,7] => [7,4,3,2,6,5,1] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,5,6,2,3,7,4] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[1,5,6,3,4,2,7] => [7,2,4,3,6,5,1] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,6,3,4,7,2] => [2,7,4,3,6,5,1] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[1,5,6,3,7,4,2] => [2,4,7,3,6,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 1

[1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => ([(2,6),(3,6),(6,4),(6,5)],7) => 2

[1,5,6,4,2,7,3] => [3,7,2,4,6,5,1] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 1

[1,5,6,4,3,2,7] => [7,2,3,4,6,5,1] => ([(2,5),(5,6),(6,3),(6,4)],7) => 1

[1,5,6,4,7,2,3] => [3,2,7,4,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 1

[1,5,6,7,3,4,2] => [2,4,3,7,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[1,5,6,7,4,2,3] => [3,2,4,7,6,5,1] => ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 1

[1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 1

[1,5,7,2,3,4,6] => [6,4,3,2,7,5,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,5,7,2,3,6,4] => [4,6,3,2,7,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,5,7,2,6,3,4] => [4,3,6,2,7,5,1] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[1,5,7,3,4,6,2] => [2,6,4,3,7,5,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,5,7,4,2,3,6] => [6,3,2,4,7,5,1] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[1,5,7,4,2,6,3] => [3,6,2,4,7,5,1] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 5

[1,5,7,4,6,2,3] => [3,2,6,4,7,5,1] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 4

[1,5,7,6,2,3,4] => [4,3,2,6,7,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[1,5,7,6,3,4,2] => [2,4,3,6,7,5,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 3

[1,5,7,6,4,2,3] => [3,2,4,6,7,5,1] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3

[1,6,2,3,4,5,7] => [7,5,4,3,2,6,1] => ([(2,6),(3,6),(4,6),(5,6)],7) => 1

[1,6,2,3,4,7,5] => [5,7,4,3,2,6,1] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[1,6,2,3,5,4,7] => [7,4,5,3,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,6,2,3,5,7,4] => [4,7,5,3,2,6,1] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[1,6,2,3,7,4,5] => [5,4,7,3,2,6,1] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,2,3,7,5,4] => [4,5,7,3,2,6,1] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[1,6,2,4,3,5,7] => [7,5,3,4,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,6,2,4,5,7,3] => [3,7,5,4,2,6,1] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[1,6,2,5,3,4,7] => [7,4,3,5,2,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,6,2,5,7,3,4] => [4,3,7,5,2,6,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[1,6,2,7,3,4,5] => [5,4,3,7,2,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,2,7,5,3,4] => [4,3,5,7,2,6,1] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[1,6,3,2,4,5,7] => [7,5,4,2,3,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,6,3,2,7,4,5] => [5,4,7,2,3,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[1,6,3,4,5,2,7] => [7,2,5,4,3,6,1] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[1,6,3,4,5,7,2] => [2,7,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[1,6,3,4,7,5,2] => [2,5,7,4,3,6,1] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[1,6,3,5,2,4,7] => [7,4,2,5,3,6,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[1,6,3,5,4,2,7] => [7,2,4,5,3,6,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[1,6,3,5,4,7,2] => [2,7,4,5,3,6,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[1,6,3,7,2,4,5] => [5,4,2,7,3,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[1,6,3,7,4,5,2] => [2,5,4,7,3,6,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,3,7,5,2,4] => [4,2,5,7,3,6,1] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 5

[1,6,4,2,3,5,7] => [7,5,3,2,4,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,6,4,2,3,7,5] => [5,7,3,2,4,6,1] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[1,6,4,2,5,3,7] => [7,3,5,2,4,6,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[1,6,4,2,5,7,3] => [3,7,5,2,4,6,1] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[1,6,4,2,7,5,3] => [3,5,7,2,4,6,1] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 6

[1,6,4,3,5,2,7] => [7,2,5,3,4,6,1] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[1,6,4,3,5,7,2] => [2,7,5,3,4,6,1] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[1,6,4,5,2,3,7] => [7,3,2,5,4,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[1,6,4,7,2,3,5] => [5,3,2,7,4,6,1] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[1,6,4,7,5,2,3] => [3,2,5,7,4,6,1] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 4

[1,6,5,2,3,4,7] => [7,4,3,2,5,6,1] => ([(2,6),(3,6),(4,6),(6,5)],7) => 1

[1,6,5,2,3,7,4] => [4,7,3,2,5,6,1] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[1,6,5,2,7,3,4] => [4,3,7,2,5,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[1,6,5,3,4,2,7] => [7,2,4,3,5,6,1] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[1,6,5,3,4,7,2] => [2,7,4,3,5,6,1] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[1,6,5,3,7,4,2] => [2,4,7,3,5,6,1] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4

[1,6,5,4,2,3,7] => [7,3,2,4,5,6,1] => ([(2,6),(3,6),(4,5),(6,4)],7) => 1

[1,6,5,4,7,2,3] => [3,2,7,4,5,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4

[1,6,5,7,2,3,4] => [4,3,2,7,5,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[1,6,5,7,3,4,2] => [2,4,3,7,5,6,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 3

[1,6,5,7,4,2,3] => [3,2,4,7,5,6,1] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3

[1,6,7,2,3,4,5] => [5,4,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,7,2,3,5,4] => [4,5,3,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[1,6,7,2,4,3,5] => [5,3,4,2,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[1,6,7,2,5,3,4] => [4,3,5,2,7,6,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,7,3,2,4,5] => [5,4,2,3,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[1,6,7,3,4,5,2] => [2,5,4,3,7,6,1] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,7,3,5,2,4] => [4,2,5,3,7,6,1] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,7,4,2,3,5] => [5,3,2,4,7,6,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[1,6,7,4,2,5,3] => [3,5,2,4,7,6,1] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[1,6,7,4,5,2,3] => [3,2,5,4,7,6,1] => ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3

[1,6,7,5,2,3,4] => [4,3,2,5,7,6,1] => ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 1

[1,6,7,5,3,4,2] => [2,4,3,5,7,6,1] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 2

[1,6,7,5,4,2,3] => [3,2,4,5,7,6,1] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2

[1,7,2,3,4,5,6] => [6,5,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[1,7,2,3,4,6,5] => [5,6,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,7,2,3,5,4,6] => [6,4,5,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,7,2,3,5,6,4] => [4,6,5,3,2,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,7,2,3,6,4,5] => [5,4,6,3,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,7,2,3,6,5,4] => [4,5,6,3,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[1,7,2,4,3,5,6] => [6,5,3,4,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,7,2,4,5,3,6] => [6,3,5,4,2,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,7,2,4,5,6,3] => [3,6,5,4,2,7,1] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[1,7,2,5,3,4,6] => [6,4,3,5,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,7,2,5,4,3,6] => [6,3,4,5,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[1,7,2,5,6,3,4] => [4,3,6,5,2,7,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[1,7,2,6,3,4,5] => [5,4,3,6,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[1,7,2,6,5,3,4] => [4,3,5,6,2,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[1,7,2,6,5,4,3] => [3,4,5,6,2,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 4

[1,7,3,2,4,5,6] => [6,5,4,2,3,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[1,7,3,2,6,4,5] => [5,4,6,2,3,7,1] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[1,7,3,4,2,5,6] => [6,5,2,4,3,7,1] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,7,3,4,5,2,6] => [6,2,5,4,3,7,1] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[1,7,3,4,5,6,2] => [2,6,5,4,3,7,1] => ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[1,7,3,4,6,2,5] => [5,2,6,4,3,7,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,3,4,6,5,2] => [2,5,6,4,3,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[1,7,3,5,4,6,2] => [2,6,4,5,3,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[1,7,3,6,2,4,5] => [5,4,2,6,3,7,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[1,7,3,6,4,5,2] => [2,5,4,6,3,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,7,4,2,3,5,6] => [6,5,3,2,4,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,7,4,2,3,6,5] => [5,6,3,2,4,7,1] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[1,7,4,2,5,6,3] => [3,6,5,2,4,7,1] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[1,7,4,2,6,3,5] => [5,3,6,2,4,7,1] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1

[1,7,4,2,6,5,3] => [3,5,6,2,4,7,1] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 5

[1,7,4,3,2,5,6] => [6,5,2,3,4,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[1,7,4,3,5,6,2] => [2,6,5,3,4,7,1] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[1,7,4,3,6,2,5] => [5,2,6,3,4,7,1] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 5

[1,7,4,5,2,3,6] => [6,3,2,5,4,7,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[1,7,4,6,2,3,5] => [5,3,2,6,4,7,1] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[1,7,4,6,5,2,3] => [3,2,5,6,4,7,1] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[1,7,5,2,3,4,6] => [6,4,3,2,5,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[1,7,5,2,3,6,4] => [4,6,3,2,5,7,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[1,7,5,2,6,3,4] => [4,3,6,2,5,7,1] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[1,7,5,3,4,6,2] => [2,6,4,3,5,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[1,7,5,4,2,3,6] => [6,3,2,4,5,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[1,7,5,4,3,2,6] => [6,2,3,4,5,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 4

[1,7,5,4,6,2,3] => [3,2,6,4,5,7,1] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[1,7,5,6,2,3,4] => [4,3,2,6,5,7,1] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[1,7,5,6,3,4,2] => [2,4,3,6,5,7,1] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2

[1,7,5,6,4,2,3] => [3,2,4,6,5,7,1] => ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2

[1,7,5,6,4,3,2] => [2,3,4,6,5,7,1] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1

[1,7,6,2,3,4,5] => [5,4,3,2,6,7,1] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[1,7,6,2,3,5,4] => [4,5,3,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[1,7,6,2,4,3,5] => [5,3,4,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[1,7,6,2,5,3,4] => [4,3,5,2,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[1,7,6,3,2,4,5] => [5,4,2,3,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[1,7,6,3,4,5,2] => [2,5,4,3,6,7,1] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[1,7,6,3,5,2,4] => [4,2,5,3,6,7,1] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 3

[1,7,6,3,5,4,2] => [2,4,5,3,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2

[1,7,6,4,2,3,5] => [5,3,2,4,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[1,7,6,4,2,5,3] => [3,5,2,4,6,7,1] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 3

[1,7,6,4,3,5,2] => [2,5,3,4,6,7,1] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2

[1,7,6,4,5,2,3] => [3,2,5,4,6,7,1] => ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2

[1,7,6,5,2,3,4] => [4,3,2,5,6,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[1,7,6,5,4,2,3] => [3,2,4,5,6,7,1] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1

[2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => ([(5,6)],7) => 2

[2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => ([(3,6),(4,5)],7) => 4

[2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => ([(3,6),(4,5)],7) => 4

[2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,1,3,4,7,5,6] => [6,5,7,4,3,1,2] => ([(2,6),(3,6),(4,5)],7) => 2

[2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => ([(3,6),(4,5)],7) => 4

[2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[2,1,3,6,4,5,7] => [7,5,4,6,3,1,2] => ([(2,6),(3,6),(4,5)],7) => 2

[2,1,3,6,7,4,5] => [5,4,7,6,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[2,1,3,7,4,5,6] => [6,5,4,7,3,1,2] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[2,1,3,7,6,4,5] => [5,4,6,7,3,1,2] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => ([(3,6),(4,5)],7) => 4

[2,1,4,3,7,5,6] => [6,5,7,3,4,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => 4

[2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 2

[2,1,4,7,3,5,6] => [6,5,3,7,4,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 4

[2,1,5,3,4,6,7] => [7,6,4,3,5,1,2] => ([(2,6),(3,6),(4,5)],7) => 2

[2,1,5,3,4,7,6] => [6,7,4,3,5,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => 4

[2,1,5,3,7,4,6] => [6,4,7,3,5,1,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 2

[2,1,5,6,3,4,7] => [7,4,3,6,5,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[2,1,5,7,3,4,6] => [6,4,3,7,5,1,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[2,1,5,7,6,3,4] => [4,3,6,7,5,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 6

[2,1,6,3,4,5,7] => [7,5,4,3,6,1,2] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[2,1,6,3,4,7,5] => [5,7,4,3,6,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 4

[2,1,6,3,7,4,5] => [5,4,7,3,6,1,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[2,1,6,5,3,4,7] => [7,4,3,5,6,1,2] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[2,1,6,5,7,3,4] => [4,3,7,5,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 6

[2,1,6,7,3,4,5] => [5,4,3,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[2,1,6,7,5,3,4] => [4,3,5,7,6,1,2] => ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 4

[2,1,7,3,4,5,6] => [6,5,4,3,7,1,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 2

[2,1,7,3,4,6,5] => [5,6,4,3,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[2,1,7,3,5,4,6] => [6,4,5,3,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[2,1,7,3,6,4,5] => [5,4,6,3,7,1,2] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 2

[2,1,7,4,3,5,6] => [6,5,3,4,7,1,2] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[2,1,7,5,3,4,6] => [6,4,3,5,7,1,2] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 2

[2,1,7,5,6,3,4] => [4,3,6,5,7,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 4

[2,1,7,6,3,4,5] => [5,4,3,6,7,1,2] => ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 2

[2,1,7,6,5,3,4] => [4,3,5,6,7,1,2] => ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 2

[2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => ([(4,5),(4,6)],7) => 1

[2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => ([(2,6),(3,4),(3,5)],7) => 2

[2,3,1,6,4,5,7] => [7,5,4,6,1,3,2] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[2,3,1,6,7,4,5] => [5,4,7,6,1,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 2

[2,3,1,7,4,5,6] => [6,5,4,7,1,3,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 1

[2,3,1,7,6,4,5] => [5,4,6,7,1,3,2] => ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 1

[2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => ([(3,4),(3,5),(3,6)],7) => 1

[2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => ([(1,6),(2,3),(2,4),(2,5)],7) => 2

[2,3,4,1,7,5,6] => [6,5,7,1,4,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 1

[2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => ([(2,3),(2,4),(2,5),(2,6)],7) => 1

[2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 2

[2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 1

[2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 1

[2,3,4,5,7,1,6] => [6,1,7,5,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2

[2,3,4,5,7,6,1] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2

[2,3,4,6,1,5,7] => [7,5,1,6,4,3,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[2,3,4,6,5,1,7] => [7,1,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[2,3,4,6,5,7,1] => [1,7,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2

[2,3,4,6,7,5,1] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 1

[2,3,4,7,1,5,6] => [6,5,1,7,4,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1

[2,3,4,7,1,6,5] => [5,6,1,7,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 3

[2,3,4,7,5,1,6] => [6,1,5,7,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 1

[2,3,4,7,5,6,1] => [1,6,5,7,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 1

[2,3,4,7,6,1,5] => [5,1,6,7,4,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 3

[2,3,4,7,6,5,1] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 3

[2,3,5,1,4,6,7] => [7,6,4,1,5,3,2] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[2,3,5,4,1,6,7] => [7,6,1,4,5,3,2] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[2,3,5,4,6,1,7] => [7,1,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[2,3,5,4,6,7,1] => [1,7,6,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2

[2,3,5,4,7,1,6] => [6,1,7,4,5,3,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[2,3,5,4,7,6,1] => [1,6,7,4,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[2,3,5,6,4,1,7] => [7,1,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[2,3,5,6,4,7,1] => [1,7,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 1

[2,3,5,6,7,4,1] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 1

[2,3,5,7,4,6,1] => [1,6,4,7,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[2,3,5,7,6,4,1] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[2,3,6,1,4,5,7] => [7,5,4,1,6,3,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[2,3,6,1,7,4,5] => [5,4,7,1,6,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 2

[2,3,6,4,1,5,7] => [7,5,1,4,6,3,2] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[2,3,6,4,5,1,7] => [7,1,5,4,6,3,2] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[2,3,6,4,5,7,1] => [1,7,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 1

[2,3,6,4,7,5,1] => [1,5,7,4,6,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[2,3,6,5,1,4,7] => [7,4,1,5,6,3,2] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3

[2,3,6,5,4,1,7] => [7,1,4,5,6,3,2] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[2,3,6,5,4,7,1] => [1,7,4,5,6,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 3

[2,3,6,5,7,4,1] => [1,4,7,5,6,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[2,3,6,7,1,4,5] => [5,4,1,7,6,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[2,3,6,7,1,5,4] => [4,5,1,7,6,3,2] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 1

[2,3,6,7,4,5,1] => [1,5,4,7,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,3,6,7,5,1,4] => [4,1,5,7,6,3,2] => ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 1

[2,3,6,7,5,4,1] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 1

[2,3,7,1,4,5,6] => [6,5,4,1,7,3,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[2,3,7,1,6,4,5] => [5,4,6,1,7,3,2] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 1

[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[2,3,7,4,5,1,6] => [6,1,5,4,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[2,3,7,4,5,6,1] => [1,6,5,4,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 1

[2,3,7,4,6,1,5] => [5,1,6,4,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 2

[2,3,7,4,6,5,1] => [1,5,6,4,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[2,3,7,5,4,1,6] => [6,1,4,5,7,3,2] => ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 2

[2,3,7,5,4,6,1] => [1,6,4,5,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[2,3,7,5,6,4,1] => [1,4,6,5,7,3,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 1

[2,3,7,6,1,4,5] => [5,4,1,6,7,3,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 1

[2,3,7,6,4,1,5] => [5,1,4,6,7,3,2] => ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 1

[2,3,7,6,4,5,1] => [1,5,4,6,7,3,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 1

[2,3,7,6,5,4,1] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 4

[2,4,1,3,5,6,7] => [7,6,5,3,1,4,2] => ([(3,6),(4,5),(4,6)],7) => 3

[2,4,1,3,7,5,6] => [6,5,7,3,1,4,2] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 3

[2,4,1,7,3,5,6] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 3

[2,4,3,1,5,6,7] => [7,6,5,1,3,4,2] => ([(3,4),(3,5),(5,6)],7) => 2

[2,4,3,1,7,5,6] => [6,5,7,1,3,4,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 2

[2,4,3,5,1,6,7] => [7,6,1,5,3,4,2] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[2,4,3,5,6,1,7] => [7,1,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[2,4,3,5,6,7,1] => [1,7,6,5,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2

[2,4,3,5,7,1,6] => [6,1,7,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[2,4,3,5,7,6,1] => [1,6,7,5,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[2,4,3,6,1,5,7] => [7,5,1,6,3,4,2] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[2,4,3,6,5,1,7] => [7,1,5,6,3,4,2] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[2,4,3,6,5,7,1] => [1,7,5,6,3,4,2] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[2,4,3,6,7,5,1] => [1,5,7,6,3,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[2,4,3,7,1,5,6] => [6,5,1,7,3,4,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 2

[2,4,3,7,5,1,6] => [6,1,5,7,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 2

[2,4,3,7,5,6,1] => [1,6,5,7,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[2,4,3,7,6,1,5] => [5,1,6,7,3,4,2] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 6

[2,4,3,7,6,5,1] => [1,5,6,7,3,4,2] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[2,4,5,3,1,6,7] => [7,6,1,3,5,4,2] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[2,4,5,3,6,1,7] => [7,1,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[2,4,5,3,6,7,1] => [1,7,6,3,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 1

[2,4,5,3,7,1,6] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 2

[2,4,5,3,7,6,1] => [1,6,7,3,5,4,2] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[2,4,5,6,3,1,7] => [7,1,3,6,5,4,2] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[2,4,5,6,3,7,1] => [1,7,3,6,5,4,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 1

[2,4,5,6,7,3,1] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 1

[2,4,5,7,3,6,1] => [1,6,3,7,5,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 2

[2,4,5,7,6,3,1] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[2,4,6,3,5,1,7] => [7,1,5,3,6,4,2] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[2,4,6,3,5,7,1] => [1,7,5,3,6,4,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[2,4,6,3,7,5,1] => [1,5,7,3,6,4,2] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 1

[2,4,6,5,3,7,1] => [1,7,3,5,6,4,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[2,4,6,5,7,3,1] => [1,3,7,5,6,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[2,4,6,7,3,5,1] => [1,5,3,7,6,4,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1

[2,4,6,7,5,3,1] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[2,4,7,1,3,5,6] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,4,7,3,1,5,6] => [6,5,1,3,7,4,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 2

[2,4,7,3,5,1,6] => [6,1,5,3,7,4,2] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 2

[2,4,7,3,5,6,1] => [1,6,5,3,7,4,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 2

[2,4,7,3,6,1,5] => [5,1,6,3,7,4,2] => ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 5

[2,4,7,5,3,1,6] => [6,1,3,5,7,4,2] => ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 1

[2,4,7,5,3,6,1] => [1,6,3,5,7,4,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 1

[2,4,7,5,6,3,1] => [1,3,6,5,7,4,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[2,4,7,6,3,5,1] => [1,5,3,6,7,4,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4

[2,4,7,6,5,3,1] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 3

[2,5,1,3,4,6,7] => [7,6,4,3,1,5,2] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[2,5,1,3,4,7,6] => [6,7,4,3,1,5,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 4

[2,5,1,3,7,4,6] => [6,4,7,3,1,5,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 2

[2,5,1,6,3,4,7] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3

[2,5,1,7,3,4,6] => [6,4,3,7,1,5,2] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[2,5,1,7,6,3,4] => [4,3,6,7,1,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 4

[2,5,3,4,1,6,7] => [7,6,1,4,3,5,2] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[2,5,3,4,6,1,7] => [7,1,6,4,3,5,2] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[2,5,3,4,6,7,1] => [1,7,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 1

[2,5,3,4,7,1,6] => [6,1,7,4,3,5,2] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 2

[2,5,3,4,7,6,1] => [1,6,7,4,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[2,5,3,6,4,1,7] => [7,1,4,6,3,5,2] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[2,5,3,6,4,7,1] => [1,7,4,6,3,5,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[2,5,3,6,7,4,1] => [1,4,7,6,3,5,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 2

[2,5,3,7,4,6,1] => [1,6,4,7,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 1

[2,5,4,1,3,6,7] => [7,6,3,1,4,5,2] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[2,5,4,3,6,1,7] => [7,1,6,3,4,5,2] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[2,5,4,3,6,7,1] => [1,7,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 3

[2,5,4,3,7,6,1] => [1,6,7,3,4,5,2] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[2,5,4,6,3,7,1] => [1,7,3,6,4,5,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[2,5,4,6,7,3,1] => [1,3,7,6,4,5,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[2,5,4,7,6,3,1] => [1,3,6,7,4,5,2] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 4

[2,5,6,1,3,4,7] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[2,5,6,3,4,1,7] => [7,1,4,3,6,5,2] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,3,4,7,1] => [1,7,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,3,7,4,1] => [1,4,7,3,6,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1

[2,5,6,4,1,3,7] => [7,3,1,4,6,5,2] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 1

[2,5,6,4,3,7,1] => [1,7,3,4,6,5,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 1

[2,5,6,4,7,3,1] => [1,3,7,4,6,5,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[2,5,6,7,1,4,3] => [3,4,1,7,6,5,2] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 1

[2,5,6,7,3,4,1] => [1,4,3,7,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[2,5,6,7,4,1,3] => [3,1,4,7,6,5,2] => ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 1

[2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 1

[2,5,7,1,3,4,6] => [6,4,3,1,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[2,5,7,1,6,3,4] => [4,3,6,1,7,5,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 4

[2,5,7,3,4,6,1] => [1,6,4,3,7,5,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,7,6,1,3,4] => [4,3,1,6,7,5,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[2,5,7,6,3,4,1] => [1,4,3,6,7,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3

[2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2

[2,6,1,3,4,5,7] => [7,5,4,3,1,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[2,6,1,3,4,7,5] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 4

[2,6,1,3,7,4,5] => [5,4,7,3,1,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[2,6,1,5,3,4,7] => [7,4,3,5,1,6,2] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[2,6,1,5,7,3,4] => [4,3,7,5,1,6,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 5

[2,6,1,7,3,4,5] => [5,4,3,7,1,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[2,6,1,7,5,3,4] => [4,3,5,7,1,6,2] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 3

[2,6,3,1,4,5,7] => [7,5,4,1,3,6,2] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[2,6,3,1,7,4,5] => [5,4,7,1,3,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 1

[2,6,3,4,1,5,7] => [7,5,1,4,3,6,2] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[2,6,3,4,5,1,7] => [7,1,5,4,3,6,2] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[2,6,3,4,5,7,1] => [1,7,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 1

[2,6,3,4,7,5,1] => [1,5,7,4,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 2

[2,6,3,5,1,4,7] => [7,4,1,5,3,6,2] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[2,6,3,5,4,1,7] => [7,1,4,5,3,6,2] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[2,6,3,5,4,7,1] => [1,7,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[2,6,3,5,7,4,1] => [1,4,7,5,3,6,2] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 1

[2,6,3,7,1,4,5] => [5,4,1,7,3,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 1

[2,6,3,7,4,5,1] => [1,5,4,7,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,6,3,7,5,1,4] => [4,1,5,7,3,6,2] => ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 4

[2,6,4,3,5,1,7] => [7,1,5,3,4,6,2] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[2,6,4,3,5,7,1] => [1,7,5,3,4,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[2,6,4,5,3,7,1] => [1,7,3,5,4,6,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 1

[2,6,4,5,7,3,1] => [1,3,7,5,4,6,2] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[2,6,5,1,3,4,7] => [7,4,3,1,5,6,2] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[2,6,5,1,7,3,4] => [4,3,7,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 4

[2,6,5,3,4,1,7] => [7,1,4,3,5,6,2] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[2,6,5,3,4,7,1] => [1,7,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 1

[2,6,5,3,7,4,1] => [1,4,7,3,5,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4

[2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 4

[2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 3

[2,6,5,7,1,3,4] => [4,3,1,7,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[2,6,5,7,3,4,1] => [1,4,3,7,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3

[2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2

[2,6,7,1,3,4,5] => [5,4,3,1,7,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[2,6,7,1,5,3,4] => [4,3,5,1,7,6,2] => ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 3

[2,6,7,3,1,4,5] => [5,4,1,3,7,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 1

[2,6,7,3,4,5,1] => [1,5,4,3,7,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,6,7,3,5,1,4] => [4,1,5,3,7,6,2] => ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 3

[2,6,7,4,3,1,5] => [5,1,3,4,7,6,2] => ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 3

[2,6,7,4,5,3,1] => [1,3,5,4,7,6,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2

[2,6,7,5,1,3,4] => [4,3,1,5,7,6,2] => ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 3

[2,6,7,5,3,4,1] => [1,4,3,5,7,6,2] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 2

[2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 1

[2,7,1,3,4,5,6] => [6,5,4,3,1,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[2,7,1,3,4,6,5] => [5,6,4,3,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[2,7,1,3,5,4,6] => [6,4,5,3,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[2,7,1,3,6,4,5] => [5,4,6,3,1,7,2] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[2,7,1,4,3,5,6] => [6,5,3,4,1,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[2,7,1,5,3,4,6] => [6,4,3,5,1,7,2] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[2,7,1,5,6,3,4] => [4,3,6,5,1,7,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 4

[2,7,1,6,3,4,5] => [5,4,3,6,1,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 2

[2,7,1,6,5,3,4] => [4,3,5,6,1,7,2] => ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 2

[2,7,3,1,4,5,6] => [6,5,4,1,3,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[2,7,3,1,6,4,5] => [5,4,6,1,3,7,2] => ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 1

[2,7,3,4,1,5,6] => [6,5,1,4,3,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,4,5,6,1] => [1,6,5,4,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,4,6,1,5] => [5,1,6,4,3,7,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[2,7,3,4,6,5,1] => [1,5,6,4,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[2,7,3,5,4,1,6] => [6,1,4,5,3,7,2] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[2,7,3,5,4,6,1] => [1,6,4,5,3,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[2,7,3,5,6,4,1] => [1,4,6,5,3,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1

[2,7,3,6,1,4,5] => [5,4,1,6,3,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 1

[2,7,3,6,4,1,5] => [5,1,4,6,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 1

[2,7,3,6,4,5,1] => [1,5,4,6,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,7,4,1,3,5,6] => [6,5,3,1,4,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 3

[2,7,4,3,1,5,6] => [6,5,1,3,4,7,2] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 2

[2,7,4,3,5,1,6] => [6,1,5,3,4,7,2] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[2,7,4,3,5,6,1] => [1,6,5,3,4,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[2,7,4,3,6,5,1] => [1,5,6,3,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 4

[2,7,4,5,3,1,6] => [6,1,3,5,4,7,2] => ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 1

[2,7,4,5,3,6,1] => [1,6,3,5,4,7,2] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1

[2,7,4,5,6,3,1] => [1,3,6,5,4,7,2] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[2,7,5,1,3,4,6] => [6,4,3,1,5,7,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[2,7,5,1,6,3,4] => [4,3,6,1,5,7,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 3

[2,7,5,3,4,6,1] => [1,6,4,3,5,7,2] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[2,7,5,4,1,3,6] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 4

[2,7,5,6,1,3,4] => [4,3,1,6,5,7,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 3

[2,7,5,6,3,4,1] => [1,4,3,6,5,7,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[2,7,5,6,4,1,3] => [3,1,4,6,5,7,2] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[2,7,6,1,3,4,5] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[2,7,6,1,5,3,4] => [4,3,5,1,6,7,2] => ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 2

[2,7,6,3,1,4,5] => [5,4,1,3,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 1

[2,7,6,3,4,1,5] => [5,1,4,3,6,7,2] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[2,7,6,3,4,5,1] => [1,5,4,3,6,7,2] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 1

[2,7,6,3,5,1,4] => [4,1,5,3,6,7,2] => ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 2

[2,7,6,3,5,4,1] => [1,4,5,3,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 2

[2,7,6,4,3,5,1] => [1,5,3,4,6,7,2] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 2

[2,7,6,5,1,3,4] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 2

[2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 5

[3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => ([(4,6),(5,6)],7) => 1

[3,1,2,4,5,7,6] => [6,7,5,4,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 2

[3,1,2,4,6,5,7] => [7,5,6,4,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 2

[3,1,2,4,6,7,5] => [5,7,6,4,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[3,1,2,4,7,5,6] => [6,5,7,4,2,1,3] => ([(1,6),(2,6),(3,5),(4,5)],7) => 1

[3,1,2,4,7,6,5] => [5,6,7,4,2,1,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[3,1,2,5,4,6,7] => [7,6,4,5,2,1,3] => ([(2,6),(3,6),(4,5)],7) => 2

[3,1,2,5,4,7,6] => [6,7,4,5,2,1,3] => ([(0,6),(1,6),(2,5),(3,4)],7) => 4

[3,1,2,5,6,4,7] => [7,4,6,5,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7) => 1

[3,1,2,5,6,7,4] => [4,7,6,5,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 1

[3,1,2,5,7,4,6] => [6,4,7,5,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 3

[3,1,2,5,7,6,4] => [4,6,7,5,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 2

[3,1,2,6,4,5,7] => [7,5,4,6,2,1,3] => ([(1,6),(2,6),(3,5),(4,5)],7) => 1

[3,1,2,6,4,7,5] => [5,7,4,6,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 3

[3,1,2,6,5,4,7] => [7,4,5,6,2,1,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[3,1,2,6,5,7,4] => [4,7,5,6,2,1,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 2

[3,1,2,6,7,4,5] => [5,4,7,6,2,1,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 2

[3,1,2,6,7,5,4] => [4,5,7,6,2,1,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 1

[3,1,2,7,4,5,6] => [6,5,4,7,2,1,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 1

[3,1,2,7,4,6,5] => [5,6,4,7,2,1,3] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 2

[3,1,2,7,5,4,6] => [6,4,5,7,2,1,3] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 2

[3,1,2,7,5,6,4] => [4,6,5,7,2,1,3] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 1

[3,1,2,7,6,4,5] => [5,4,6,7,2,1,3] => ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 1

[3,1,2,7,6,5,4] => [4,5,6,7,2,1,3] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 4

[3,1,4,2,5,6,7] => [7,6,5,2,4,1,3] => ([(3,6),(4,5),(4,6)],7) => 3

[3,1,4,2,7,5,6] => [6,5,7,2,4,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 3

[3,1,4,5,2,6,7] => [7,6,2,5,4,1,3] => ([(2,6),(3,4),(3,5),(3,6)],7) => 2

[3,1,4,5,6,2,7] => [7,2,6,5,4,1,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[3,1,4,5,6,7,2] => [2,7,6,5,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2

[3,1,4,5,7,6,2] => [2,6,7,5,4,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[3,1,4,6,5,2,7] => [7,2,5,6,4,1,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[3,1,4,6,5,7,2] => [2,7,5,6,4,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[3,1,4,6,7,5,2] => [2,5,7,6,4,1,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 2

[3,1,4,7,2,5,6] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 3

[3,1,4,7,5,6,2] => [2,6,5,7,4,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 2

[3,1,5,2,4,6,7] => [7,6,4,2,5,1,3] => ([(2,6),(3,5),(4,5),(4,6)],7) => 1

[3,1,5,2,4,7,6] => [6,7,4,2,5,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 2

[3,1,5,2,7,4,6] => [6,4,7,2,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 1

[3,1,5,4,2,6,7] => [7,6,2,4,5,1,3] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[3,1,5,4,6,2,7] => [7,2,6,4,5,1,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[3,1,5,4,6,7,2] => [2,7,6,4,5,1,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[3,1,5,4,7,6,2] => [2,6,7,4,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 8

[3,1,5,6,2,4,7] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 3

[3,1,5,6,4,2,7] => [7,2,4,6,5,1,3] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 2

[3,1,5,6,4,7,2] => [2,7,4,6,5,1,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 2

[3,1,5,6,7,4,2] => [2,4,7,6,5,1,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 2

[3,1,5,7,2,4,6] => [6,4,2,7,5,1,3] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,1,5,7,4,6,2] => [2,6,4,7,5,1,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 6

[3,1,5,7,6,2,4] => [4,2,6,7,5,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 5

[3,1,6,2,4,5,7] => [7,5,4,2,6,1,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[3,1,6,2,4,7,5] => [5,7,4,2,6,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 2

[3,1,6,2,7,4,5] => [5,4,7,2,6,1,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 1

[3,1,6,4,5,2,7] => [7,2,5,4,6,1,3] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[3,1,6,4,5,7,2] => [2,7,5,4,6,1,3] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 2

[3,1,6,4,7,5,2] => [2,5,7,4,6,1,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 6

[3,1,6,5,2,4,7] => [7,4,2,5,6,1,3] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[3,1,6,5,4,2,7] => [7,2,4,5,6,1,3] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 7

[3,1,6,5,7,2,4] => [4,2,7,5,6,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 5

[3,1,6,7,2,4,5] => [5,4,2,7,6,1,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 1

[3,1,6,7,4,5,2] => [2,5,4,7,6,1,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 4

[3,1,6,7,5,2,4] => [4,2,5,7,6,1,3] => ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 3

[3,1,6,7,5,4,2] => [2,4,5,7,6,1,3] => ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 2

[3,1,7,2,4,5,6] => [6,5,4,2,7,1,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[3,1,7,2,4,6,5] => [5,6,4,2,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 2

[3,1,7,2,5,4,6] => [6,4,5,2,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 2

[3,1,7,2,6,4,5] => [5,4,6,2,7,1,3] => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 1

[3,1,7,4,2,5,6] => [6,5,2,4,7,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 3

[3,1,7,4,5,6,2] => [2,6,5,4,7,1,3] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[3,1,7,5,2,4,6] => [6,4,2,5,7,1,3] => ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 1

[3,1,7,5,6,2,4] => [4,2,6,5,7,1,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3

[3,1,7,6,2,4,5] => [5,4,2,6,7,1,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[3,1,7,6,4,5,2] => [2,5,4,6,7,1,3] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 2

[3,1,7,6,5,2,4] => [4,2,5,6,7,1,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 1

[3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => ([(4,5),(5,6)],7) => 3

[3,2,1,4,7,5,6] => [6,5,7,4,1,2,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[3,2,1,6,4,5,7] => [7,5,4,6,1,2,3] => ([(1,6),(2,6),(3,4),(4,5)],7) => 3

[3,2,1,6,7,4,5] => [5,4,7,6,1,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 6

[3,2,1,7,4,5,6] => [6,5,4,7,1,2,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 3

[3,2,1,7,6,4,5] => [5,4,6,7,1,2,3] => ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 3

[3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => ([(3,4),(3,5),(5,6)],7) => 2

[3,2,4,1,7,5,6] => [6,5,7,1,4,2,3] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 2

[3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => ([(2,4),(2,5),(2,6),(6,3)],7) => 2

[3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2

[3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2

[3,2,4,5,7,1,6] => [6,1,7,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 4

[3,2,4,5,7,6,1] => [1,6,7,5,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[3,2,4,6,1,5,7] => [7,5,1,6,4,2,3] => ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4

[3,2,4,6,5,1,7] => [7,1,5,6,4,2,3] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[3,2,4,6,5,7,1] => [1,7,5,6,4,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[3,2,4,6,7,5,1] => [1,5,7,6,4,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[3,2,4,7,1,5,6] => [6,5,1,7,4,2,3] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 2

[3,2,4,7,5,1,6] => [6,1,5,7,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 2

[3,2,4,7,5,6,1] => [1,6,5,7,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[3,2,4,7,6,1,5] => [5,1,6,7,4,2,3] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 6

[3,2,4,7,6,5,1] => [1,5,6,7,4,2,3] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[3,2,5,1,4,6,7] => [7,6,4,1,5,2,3] => ([(2,6),(3,4),(3,6),(4,5)],7) => 5

[3,2,5,4,1,6,7] => [7,6,1,4,5,2,3] => ([(2,5),(2,6),(5,4),(6,3)],7) => 4

[3,2,5,4,6,1,7] => [7,1,6,4,5,2,3] => ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 4

[3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 4

[3,2,5,4,7,1,6] => [6,1,7,4,5,2,3] => ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 8

[3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 8

[3,2,5,6,4,1,7] => [7,1,4,6,5,2,3] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[3,2,5,6,4,7,1] => [1,7,4,6,5,2,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[3,2,5,6,7,4,1] => [1,4,7,6,5,2,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 2

[3,2,5,7,4,6,1] => [1,6,4,7,5,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 6

[3,2,5,7,6,4,1] => [1,4,6,7,5,2,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 4

[3,2,6,1,4,5,7] => [7,5,4,1,6,2,3] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[3,2,6,1,7,4,5] => [5,4,7,1,6,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 5

[3,2,6,4,5,1,7] => [7,1,5,4,6,2,3] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[3,2,6,4,5,7,1] => [1,7,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[3,2,6,4,7,5,1] => [1,5,7,4,6,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 6

[3,2,6,5,1,4,7] => [7,4,1,5,6,2,3] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 7

[3,2,6,5,4,7,1] => [1,7,4,5,6,2,3] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[3,2,6,5,7,4,1] => [1,4,7,5,6,2,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 4

[3,2,6,7,1,4,5] => [5,4,1,7,6,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 5

[3,2,6,7,4,5,1] => [1,5,4,7,6,2,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 4

[3,2,6,7,5,1,4] => [4,1,5,7,6,2,3] => ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 2

[3,2,6,7,5,4,1] => [1,4,5,7,6,2,3] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2

[3,2,7,1,4,5,6] => [6,5,4,1,7,2,3] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[3,2,7,1,6,4,5] => [5,4,6,1,7,2,3] => ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 3

[3,2,7,4,1,5,6] => [6,5,1,4,7,2,3] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 2

[3,2,7,4,5,1,6] => [6,1,5,4,7,2,3] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[3,2,7,4,5,6,1] => [1,6,5,4,7,2,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 2

[3,2,7,4,6,1,5] => [5,1,6,4,7,2,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 4

[3,2,7,4,6,5,1] => [1,5,6,4,7,2,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4

[3,2,7,5,4,1,6] => [6,1,4,5,7,2,3] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 4

[3,2,7,5,4,6,1] => [1,6,4,5,7,2,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4

[3,2,7,5,6,4,1] => [1,4,6,5,7,2,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2

[3,2,7,6,1,4,5] => [5,4,1,6,7,2,3] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 3

[3,2,7,6,4,5,1] => [1,5,4,6,7,2,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 2

[3,2,7,6,5,4,1] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 8

[3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => ([(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,2,5,7,6] => [6,7,5,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[3,4,1,2,6,5,7] => [7,5,6,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4

[3,4,1,2,6,7,5] => [5,7,6,2,1,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 2

[3,4,1,2,7,5,6] => [6,5,7,2,1,4,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 2

[3,4,1,2,7,6,5] => [5,6,7,2,1,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 6

[3,4,1,6,2,5,7] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 3

[3,4,1,7,2,5,6] => [6,5,2,7,1,4,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2

[3,4,1,7,6,2,5] => [5,2,6,7,1,4,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 4

[3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => ([(3,4),(4,5),(4,6)],7) => 1

[3,4,2,1,7,5,6] => [6,5,7,1,2,4,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 1

[3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => ([(2,5),(2,6),(6,3),(6,4)],7) => 1

[3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 1

[3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 1

[3,4,2,5,7,1,6] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 2

[3,4,2,5,7,6,1] => [1,6,7,5,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[3,4,2,6,1,5,7] => [7,5,1,6,2,4,3] => ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 2

[3,4,2,6,5,1,7] => [7,1,5,6,2,4,3] => ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[3,4,2,6,5,7,1] => [1,7,5,6,2,4,3] => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 2

[3,4,2,6,7,5,1] => [1,5,7,6,2,4,3] => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 1

[3,4,2,7,1,5,6] => [6,5,1,7,2,4,3] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 1

[3,4,2,7,5,6,1] => [1,6,5,7,2,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 1

[3,4,2,7,6,1,5] => [5,1,6,7,2,4,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 3

[3,4,2,7,6,5,1] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 3

[3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => ([(2,6),(6,3),(6,4),(6,5)],7) => 1

[3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 1

[3,4,5,2,7,1,6] => [6,1,7,2,5,4,3] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 2

[3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 2

[3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 1

[3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 1

[3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 1

[3,4,5,7,2,6,1] => [1,6,2,7,5,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 2

[3,4,5,7,6,2,1] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 2

[3,4,6,1,2,5,7] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[3,4,6,2,5,1,7] => [7,1,5,2,6,4,3] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 2

[3,4,6,2,5,7,1] => [1,7,5,2,6,4,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 2

[3,4,6,2,7,5,1] => [1,5,7,2,6,4,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 1

[3,4,6,5,2,7,1] => [1,7,2,5,6,4,3] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[3,4,6,5,7,2,1] => [1,2,7,5,6,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 2

[3,4,6,7,2,5,1] => [1,5,2,7,6,4,3] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 1

[3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 1

[3,4,7,1,2,5,6] => [6,5,2,1,7,4,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[3,4,7,2,1,5,6] => [6,5,1,2,7,4,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,4,7,2,5,6,1] => [1,6,5,2,7,4,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 1

[3,4,7,2,6,1,5] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 3

[3,4,7,5,2,1,6] => [6,1,2,5,7,4,3] => ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 1

[3,4,7,5,6,2,1] => [1,2,6,5,7,4,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[3,4,7,6,1,2,5] => [5,2,1,6,7,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[3,4,7,6,2,5,1] => [1,5,2,6,7,4,3] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 3

[3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 3

[3,5,1,2,4,6,7] => [7,6,4,2,1,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,5,1,2,4,7,6] => [6,7,4,2,1,5,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[3,5,1,2,6,4,7] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3

[3,5,1,2,6,7,4] => [4,7,6,2,1,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 2

[3,5,1,2,7,4,6] => [6,4,7,2,1,5,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 1

[3,5,1,2,7,6,4] => [4,6,7,2,1,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 5

[3,5,1,7,2,4,6] => [6,4,2,7,1,5,3] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,5,2,4,1,6,7] => [7,6,1,4,2,5,3] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[3,5,2,4,6,1,7] => [7,1,6,4,2,5,3] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[3,5,2,4,6,7,1] => [1,7,6,4,2,5,3] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[3,5,2,4,7,1,6] => [6,1,7,4,2,5,3] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 6

[3,5,2,4,7,6,1] => [1,6,7,4,2,5,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 6

[3,5,2,6,4,1,7] => [7,1,4,6,2,5,3] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 1

[3,5,2,6,4,7,1] => [1,7,4,6,2,5,3] => ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 1

[3,5,2,6,7,4,1] => [1,4,7,6,2,5,3] => ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 1

[3,5,2,7,4,6,1] => [1,6,4,7,2,5,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 4

[3,5,4,1,2,6,7] => [7,6,2,1,4,5,3] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[3,5,4,1,2,7,6] => [6,7,2,1,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 6

[3,5,4,1,7,2,6] => [6,2,7,1,4,5,3] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 5

[3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 4

[3,5,4,6,2,7,1] => [1,7,2,6,4,5,3] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[3,5,4,6,7,2,1] => [1,2,7,6,4,5,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 2

[3,5,4,7,1,2,6] => [6,2,1,7,4,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 5

[3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 4

[3,5,6,2,4,1,7] => [7,1,4,2,6,5,3] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 1

[3,5,6,2,4,7,1] => [1,7,4,2,6,5,3] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1

[3,5,6,2,7,4,1] => [1,4,7,2,6,5,3] => ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1

[3,5,6,4,1,2,7] => [7,2,1,4,6,5,3] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 1

[3,5,6,4,2,7,1] => [1,7,2,4,6,5,3] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 1

[3,5,6,7,2,4,1] => [1,4,2,7,6,5,3] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 1

[3,5,6,7,4,1,2] => [2,1,4,7,6,5,3] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 1

[3,5,7,1,2,4,6] => [6,4,2,1,7,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,5,7,2,4,6,1] => [1,6,4,2,7,5,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[3,5,7,4,1,2,6] => [6,2,1,4,7,5,3] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 4

[3,5,7,6,2,4,1] => [1,4,2,6,7,5,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2

[3,5,7,6,4,1,2] => [2,1,4,6,7,5,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2

[3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2

[3,6,1,2,4,5,7] => [7,5,4,2,1,6,3] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,6,1,2,4,7,5] => [5,7,4,2,1,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[3,6,1,2,5,4,7] => [7,4,5,2,1,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[3,6,1,2,5,7,4] => [4,7,5,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 1

[3,6,1,2,7,4,5] => [5,4,7,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 1

[3,6,1,2,7,5,4] => [4,5,7,2,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 4

[3,6,1,7,2,4,5] => [5,4,2,7,1,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,6,2,1,4,5,7] => [7,5,4,1,2,6,3] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[3,6,2,1,7,4,5] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 4

[3,6,2,4,5,1,7] => [7,1,5,4,2,6,3] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[3,6,2,4,5,7,1] => [1,7,5,4,2,6,3] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 2

[3,6,2,4,7,5,1] => [1,5,7,4,2,6,3] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 5

[3,6,2,5,1,4,7] => [7,4,1,5,2,6,3] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 6

[3,6,2,7,1,4,5] => [5,4,1,7,2,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 4

[3,6,2,7,4,5,1] => [1,5,4,7,2,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 3

[3,6,2,7,5,1,4] => [4,1,5,7,2,6,3] => ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 1

[3,6,4,1,2,5,7] => [7,5,2,1,4,6,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,6,4,1,2,7,5] => [5,7,2,1,4,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 5

[3,6,4,2,5,7,1] => [1,7,5,2,4,6,3] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 1

[3,6,4,5,2,7,1] => [1,7,2,5,4,6,3] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[3,6,4,5,7,2,1] => [1,2,7,5,4,6,3] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[3,6,5,1,2,4,7] => [7,4,2,1,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[3,6,5,1,2,7,4] => [4,7,2,1,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 4

[3,6,5,2,4,1,7] => [7,1,4,2,5,6,3] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4

[3,6,5,2,4,7,1] => [1,7,4,2,5,6,3] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4

[3,6,5,2,7,4,1] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2

[3,6,5,4,1,2,7] => [7,2,1,4,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4

[3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 3

[3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 3

[3,6,5,7,2,4,1] => [1,4,2,7,5,6,3] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2

[3,6,5,7,4,1,2] => [2,1,4,7,5,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2

[3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2

[3,6,7,1,2,4,5] => [5,4,2,1,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[3,6,7,2,1,4,5] => [5,4,1,2,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 4

[3,6,7,2,4,5,1] => [1,5,4,2,7,6,3] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[3,6,7,2,5,1,4] => [4,1,5,2,7,6,3] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 1

[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[3,6,7,4,2,1,5] => [5,1,2,4,7,6,3] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 2

[3,6,7,4,5,2,1] => [1,2,5,4,7,6,3] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[3,6,7,5,1,2,4] => [4,2,1,5,7,6,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2

[3,6,7,5,2,4,1] => [1,4,2,5,7,6,3] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 1

[3,6,7,5,4,1,2] => [2,1,4,5,7,6,3] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 1

[3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 1

[3,7,1,2,4,5,6] => [6,5,4,2,1,7,3] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,1,2,4,6,5] => [5,6,4,2,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[3,7,1,2,5,4,6] => [6,4,5,2,1,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[3,7,1,2,5,6,4] => [4,6,5,2,1,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 1

[3,7,1,2,6,4,5] => [5,4,6,2,1,7,3] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 1

[3,7,1,2,6,5,4] => [4,5,6,2,1,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 3

[3,7,1,4,2,5,6] => [6,5,2,4,1,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3

[3,7,1,5,2,4,6] => [6,4,2,5,1,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 1

[3,7,1,6,2,4,5] => [5,4,2,6,1,7,3] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1

[3,7,1,6,5,2,4] => [4,2,5,6,1,7,3] => ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 1

[3,7,2,1,4,5,6] => [6,5,4,1,2,7,3] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[3,7,2,1,6,4,5] => [5,4,6,1,2,7,3] => ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 3

[3,7,2,4,1,5,6] => [6,5,1,4,2,7,3] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[3,7,2,4,5,1,6] => [6,1,5,4,2,7,3] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[3,7,2,4,5,6,1] => [1,6,5,4,2,7,3] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 4

[3,7,2,5,4,1,6] => [6,1,4,5,2,7,3] => ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 4

[3,7,2,5,6,4,1] => [1,4,6,5,2,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2

[3,7,2,6,1,4,5] => [5,4,1,6,2,7,3] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 3

[3,7,2,6,4,5,1] => [1,5,4,6,2,7,3] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 2

[3,7,4,1,2,5,6] => [6,5,2,1,4,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[3,7,4,1,2,6,5] => [5,6,2,1,4,7,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 4

[3,7,4,1,6,2,5] => [5,2,6,1,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3

[3,7,4,2,1,5,6] => [6,5,1,2,4,7,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[3,7,4,2,5,1,6] => [6,1,5,2,4,7,3] => ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 1

[3,7,4,2,5,6,1] => [1,6,5,2,4,7,3] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[3,7,4,2,6,5,1] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2

[3,7,4,5,2,1,6] => [6,1,2,5,4,7,3] => ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[3,7,4,5,2,6,1] => [1,6,2,5,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[3,7,4,5,6,2,1] => [1,2,6,5,4,7,3] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[3,7,4,6,1,2,5] => [5,2,1,6,4,7,3] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 3

[3,7,5,1,2,4,6] => [6,4,2,1,5,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 1

[3,7,5,1,2,6,4] => [4,6,2,1,5,7,3] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 3

[3,7,5,2,4,6,1] => [1,6,4,2,5,7,3] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 3

[3,7,5,4,1,2,6] => [6,2,1,4,5,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 3

[3,7,5,6,2,4,1] => [1,4,2,6,5,7,3] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1

[3,7,5,6,4,1,2] => [2,1,4,6,5,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 1

[3,7,6,1,2,4,5] => [5,4,2,1,6,7,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[3,7,6,1,2,5,4] => [4,5,2,1,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 2

[3,7,6,2,1,4,5] => [5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 3

[3,7,6,2,4,5,1] => [1,5,4,2,6,7,3] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 2

[3,7,6,2,5,1,4] => [4,1,5,2,6,7,3] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 7

[3,7,6,4,1,2,5] => [5,2,1,4,6,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 2

[3,7,6,5,1,2,4] => [4,2,1,5,6,7,3] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1

[3,7,6,5,4,1,2] => [2,1,4,5,6,7,3] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5

[3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 4

[4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => ([(3,6),(4,6),(5,6)],7) => 1

[4,1,2,3,5,7,6] => [6,7,5,3,2,1,4] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[4,1,2,3,6,5,7] => [7,5,6,3,2,1,4] => ([(1,6),(2,6),(3,6),(4,5)],7) => 2

[4,1,2,3,6,7,5] => [5,7,6,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 1

[4,1,2,3,7,5,6] => [6,5,7,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 1

[4,1,2,3,7,6,5] => [5,6,7,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 3

[4,1,2,5,3,6,7] => [7,6,3,5,2,1,4] => ([(2,6),(3,6),(4,5),(4,6)],7) => 2

[4,1,2,5,3,7,6] => [6,7,3,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 4

[4,1,2,5,6,3,7] => [7,3,6,5,2,1,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,1,2,5,6,7,3] => [3,7,6,5,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1

[4,1,2,5,7,3,6] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 3

[4,1,2,5,7,6,3] => [3,6,7,5,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 2

[4,1,2,6,3,5,7] => [7,5,3,6,2,1,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[4,1,2,6,3,7,5] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 3

[4,1,2,6,5,3,7] => [7,3,5,6,2,1,4] => ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[4,1,2,6,5,7,3] => [3,7,5,6,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 2

[4,1,2,6,7,3,5] => [5,3,7,6,2,1,4] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2

[4,1,2,6,7,5,3] => [3,5,7,6,2,1,4] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 1

[4,1,2,7,3,5,6] => [6,5,3,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 1

[4,1,2,7,3,6,5] => [5,6,3,7,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 2

[4,1,2,7,5,3,6] => [6,3,5,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 2

[4,1,2,7,5,6,3] => [3,6,5,7,2,1,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 1

[4,1,2,7,6,3,5] => [5,3,6,7,2,1,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 1

[4,1,2,7,6,5,3] => [3,5,6,7,2,1,4] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4

[4,1,3,2,7,5,6] => [6,5,7,2,3,1,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 2

[4,1,3,5,6,2,7] => [7,2,6,5,3,1,4] => ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[4,1,3,5,6,7,2] => [2,7,6,5,3,1,4] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 1

[4,1,3,5,7,6,2] => [2,6,7,5,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 2

[4,1,3,6,5,7,2] => [2,7,5,6,3,1,4] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 2

[4,1,3,7,2,5,6] => [6,5,2,7,3,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 2

[4,1,5,2,3,6,7] => [7,6,3,2,5,1,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,1,5,2,3,7,6] => [6,7,3,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[4,1,5,2,7,3,6] => [6,3,7,2,5,1,4] => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,1,5,6,2,3,7] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,1,5,7,2,3,6] => [6,3,2,7,5,1,4] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,1,5,7,6,2,3] => [3,2,6,7,5,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 5

[4,1,6,2,3,5,7] => [7,5,3,2,6,1,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,1,6,2,3,7,5] => [5,7,3,2,6,1,4] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[4,1,6,2,7,3,5] => [5,3,7,2,6,1,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,1,6,5,2,3,7] => [7,3,2,5,6,1,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[4,1,6,5,7,2,3] => [3,2,7,5,6,1,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 5

[4,1,6,7,2,3,5] => [5,3,2,7,6,1,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,1,6,7,5,2,3] => [3,2,5,7,6,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 3

[4,1,7,2,3,5,6] => [6,5,3,2,7,1,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,1,7,2,3,6,5] => [5,6,3,2,7,1,4] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[4,1,7,2,5,3,6] => [6,3,5,2,7,1,4] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,1,7,2,6,3,5] => [5,3,6,2,7,1,4] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 1

[4,1,7,3,2,5,6] => [6,5,2,3,7,1,4] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 2

[4,1,7,5,2,3,6] => [6,3,2,5,7,1,4] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[4,1,7,5,6,2,3] => [3,2,6,5,7,1,4] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 3

[4,1,7,6,2,3,5] => [5,3,2,6,7,1,4] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[4,1,7,6,5,2,3] => [3,2,5,6,7,1,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 1

[4,2,1,3,7,5,6] => [6,5,7,3,1,2,4] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 2

[4,2,1,5,6,7,3] => [3,7,6,5,1,2,4] => ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 3

[4,2,1,7,3,5,6] => [6,5,3,7,1,2,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 2

[4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => ([(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,2,3,1,7,5,6] => [6,5,7,1,3,2,4] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 1

[4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 1

[4,2,3,5,7,1,6] => [6,1,7,5,3,2,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 2

[4,2,3,5,7,6,1] => [1,6,7,5,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[4,2,3,6,1,5,7] => [7,5,1,6,3,2,4] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2

[4,2,3,6,5,1,7] => [7,1,5,6,3,2,4] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[4,2,3,6,5,7,1] => [1,7,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 2

[4,2,3,6,7,5,1] => [1,5,7,6,3,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 1

[4,2,3,7,1,5,6] => [6,5,1,7,3,2,4] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 1

[4,2,3,7,5,6,1] => [1,6,5,7,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 1

[4,2,3,7,6,1,5] => [5,1,6,7,3,2,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 3

[4,2,5,3,1,6,7] => [7,6,1,3,5,2,4] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3

[4,2,5,3,6,1,7] => [7,1,6,3,5,2,4] => ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 3

[4,2,5,3,6,7,1] => [1,7,6,3,5,2,4] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 3

[4,2,5,3,7,1,6] => [6,1,7,3,5,2,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 6

[4,2,5,3,7,6,1] => [1,6,7,3,5,2,4] => ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 6

[4,2,5,6,3,1,7] => [7,1,3,6,5,2,4] => ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 2

[4,2,5,6,3,7,1] => [1,7,3,6,5,2,4] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 2

[4,2,5,6,7,3,1] => [1,3,7,6,5,2,4] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 2

[4,2,5,7,3,6,1] => [1,6,3,7,5,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 5

[4,2,6,3,5,1,7] => [7,1,5,3,6,2,4] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 1

[4,2,6,3,5,7,1] => [1,7,5,3,6,2,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 1

[4,2,6,3,7,5,1] => [1,5,7,3,6,2,4] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 4

[4,2,6,7,3,5,1] => [1,5,3,7,6,2,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,2,7,1,3,5,6] => [6,5,3,1,7,2,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[4,2,7,3,1,5,6] => [6,5,1,3,7,2,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 1

[4,2,7,3,5,6,1] => [1,6,5,3,7,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[4,2,7,3,6,1,5] => [5,1,6,3,7,2,4] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 2

[4,2,7,5,3,1,6] => [6,1,3,5,7,2,4] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 3

[4,2,7,5,6,3,1] => [1,3,6,5,7,2,4] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 2

[4,2,7,6,3,5,1] => [1,5,3,6,7,2,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 1

[4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => ([(3,6),(4,6),(6,5)],7) => 1

[4,3,1,2,5,7,6] => [6,7,5,2,1,3,4] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[4,3,1,2,6,5,7] => [7,5,6,2,1,3,4] => ([(1,6),(2,6),(3,4),(6,5)],7) => 2

[4,3,1,2,6,7,5] => [5,7,6,2,1,3,4] => ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 1

[4,3,1,2,7,5,6] => [6,5,7,2,1,3,4] => ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 1

[4,3,1,2,7,6,5] => [5,6,7,2,1,3,4] => ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 3

[4,3,1,5,2,6,7] => [7,6,2,5,1,3,4] => ([(2,6),(3,4),(3,6),(6,5)],7) => 4

[4,3,1,5,6,2,7] => [7,2,6,5,1,3,4] => ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 3

[4,3,1,5,6,7,2] => [2,7,6,5,1,3,4] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 3

[4,3,1,5,7,6,2] => [2,6,7,5,1,3,4] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 6

[4,3,1,6,2,5,7] => [7,5,2,6,1,3,4] => ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[4,3,1,6,5,2,7] => [7,2,5,6,1,3,4] => ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 7

[4,3,1,6,5,7,2] => [2,7,5,6,1,3,4] => ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 6

[4,3,1,6,7,2,5] => [5,2,7,6,1,3,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 4

[4,3,1,6,7,5,2] => [2,5,7,6,1,3,4] => ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 3

[4,3,1,7,2,5,6] => [6,5,2,7,1,3,4] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 1

[4,3,1,7,5,6,2] => [2,6,5,7,1,3,4] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 3

[4,3,1,7,6,2,5] => [5,2,6,7,1,3,4] => ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 1

[4,3,1,7,6,5,2] => [2,5,6,7,1,3,4] => ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 10

[4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => ([(3,4),(4,6),(6,5)],7) => 4

[4,3,2,1,7,5,6] => [6,5,7,1,2,3,4] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 4

[4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3

[4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 3

[4,3,2,5,7,6,1] => [1,6,7,5,2,3,4] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[4,3,2,6,1,5,7] => [7,5,1,6,2,3,4] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 7

[4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 6

[4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 3

[4,3,2,7,1,5,6] => [6,5,1,7,2,3,4] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4

[4,3,2,7,6,1,5] => [5,1,6,7,2,3,4] => ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 10

[4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 9

[4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3

[4,3,5,1,2,7,6] => [6,7,2,1,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 6

[4,3,5,1,7,2,6] => [6,2,7,1,5,3,4] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 5

[4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2

[4,3,5,2,7,6,1] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 4

[4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 2

[4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 2

[4,3,5,7,1,2,6] => [6,2,1,7,5,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 5

[4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 4

[4,3,6,1,2,5,7] => [7,5,2,1,6,3,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[4,3,6,1,2,7,5] => [5,7,2,1,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 4

[4,3,6,5,1,2,7] => [7,2,1,5,6,3,4] => ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 5

[4,3,6,5,2,7,1] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 4

[4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 4

[4,3,6,7,5,1,2] => [2,1,5,7,6,3,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2

[4,3,7,1,2,5,6] => [6,5,2,1,7,3,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[4,3,7,1,2,6,5] => [5,6,2,1,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 2

[4,3,7,2,1,5,6] => [6,5,1,2,7,3,4] => ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 4

[4,3,7,5,1,2,6] => [6,2,1,5,7,3,4] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 3

[4,3,7,6,1,2,5] => [5,2,1,6,7,3,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1

[4,3,7,6,5,1,2] => [2,1,5,6,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 7

[4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 6

[4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,5,1,2,3,7,6] => [6,7,3,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2

[4,5,1,2,6,3,7] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,1,2,6,7,3] => [3,7,6,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2

[4,5,1,2,7,3,6] => [6,3,7,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 1

[4,5,1,2,7,6,3] => [3,6,7,2,1,5,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 5

[4,5,1,7,2,3,6] => [6,3,2,7,1,5,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,5,2,1,6,7,3] => [3,7,6,1,2,5,4] => ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 1

[4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[4,5,2,3,7,1,6] => [6,1,7,3,2,5,4] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 4

[4,5,2,3,7,6,1] => [1,6,7,3,2,5,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 4

[4,5,2,6,3,1,7] => [7,1,3,6,2,5,4] => ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 1

[4,5,2,6,3,7,1] => [1,7,3,6,2,5,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1

[4,5,2,6,7,3,1] => [1,3,7,6,2,5,4] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 1

[4,5,2,7,3,6,1] => [1,6,3,7,2,5,4] => ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => ([(2,6),(3,6),(6,4),(6,5)],7) => 2

[4,5,3,1,2,7,6] => [6,7,2,1,3,5,4] => ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 4

[4,5,3,1,6,2,7] => [7,2,6,1,3,5,4] => ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 1

[4,5,3,1,6,7,2] => [2,7,6,1,3,5,4] => ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 1

[4,5,3,1,7,2,6] => [6,2,7,1,3,5,4] => ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 3

[4,5,3,1,7,6,2] => [2,6,7,1,3,5,4] => ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 2

[4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => ([(2,5),(5,6),(6,3),(6,4)],7) => 1

[4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 1

[4,5,3,2,7,1,6] => [6,1,7,2,3,5,4] => ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 2

[4,5,3,2,7,6,1] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2

[4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 1

[4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 1

[4,5,3,7,1,2,6] => [6,2,1,7,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 3

[4,5,3,7,6,1,2] => [2,1,6,7,3,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2

[4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2

[4,5,6,2,1,7,3] => [3,7,1,2,6,5,4] => ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 1

[4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,5,6,2,7,3,1] => [1,3,7,2,6,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 1

[4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 1

[4,5,6,3,1,7,2] => [2,7,1,3,6,5,4] => ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 1

[4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 1

[4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 1

[4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 1

[4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 1

[4,5,6,7,1,3,2] => [2,3,1,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1

[4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1

[4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 1

[4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 1

[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 1

[4,5,7,1,2,3,6] => [6,3,2,1,7,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,5,7,2,3,6,1] => [1,6,3,2,7,5,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[4,5,7,3,1,2,6] => [6,2,1,3,7,5,4] => ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 3

[4,5,7,3,1,6,2] => [2,6,1,3,7,5,4] => ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 2

[4,5,7,3,6,1,2] => [2,1,6,3,7,5,4] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 2

[4,5,7,6,2,3,1] => [1,3,2,6,7,5,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 2

[4,5,7,6,3,1,2] => [2,1,3,6,7,5,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 2

[4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2

[4,6,1,2,3,5,7] => [7,5,3,2,1,6,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,1,2,3,7,5] => [5,7,3,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2

[4,6,1,2,5,3,7] => [7,3,5,2,1,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,6,1,2,5,7,3] => [3,7,5,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 1

[4,6,1,2,7,3,5] => [5,3,7,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,6,1,2,7,5,3] => [3,5,7,2,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 4

[4,6,1,5,2,3,7] => [7,3,2,5,1,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[4,6,1,7,2,3,5] => [5,3,2,7,1,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,6,1,7,5,2,3] => [3,2,5,7,1,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 2

[4,6,2,3,5,1,7] => [7,1,5,3,2,6,4] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,2,3,5,7,1] => [1,7,5,3,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,2,3,7,5,1] => [1,5,7,3,2,6,4] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 3

[4,6,2,7,3,5,1] => [1,5,3,7,2,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2

[4,6,3,1,2,5,7] => [7,5,2,1,3,6,4] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[4,6,3,1,2,7,5] => [5,7,2,1,3,6,4] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 3

[4,6,3,1,5,2,7] => [7,2,5,1,3,6,4] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 5

[4,6,3,1,5,7,2] => [2,7,5,1,3,6,4] => ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 4

[4,6,3,1,7,5,2] => [2,5,7,1,3,6,4] => ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 1

[4,6,3,5,1,2,7] => [7,2,1,5,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 4

[4,6,3,7,1,2,5] => [5,2,1,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 2

[4,6,3,7,5,1,2] => [2,1,5,7,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 1

[4,6,5,1,2,3,7] => [7,3,2,1,5,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[4,6,5,1,2,7,3] => [3,7,2,1,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[4,6,5,2,3,1,7] => [7,1,3,2,5,6,4] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 3

[4,6,5,2,3,7,1] => [1,7,3,2,5,6,4] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3

[4,6,5,2,7,3,1] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2

[4,6,5,3,1,2,7] => [7,2,1,3,5,6,4] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3

[4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2

[4,6,5,3,7,1,2] => [2,1,7,3,5,6,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2

[4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2

[4,6,5,7,2,3,1] => [1,3,2,7,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 2

[4,6,5,7,3,1,2] => [2,1,3,7,5,6,4] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 2

[4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2

[4,6,7,1,2,3,5] => [5,3,2,1,7,6,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[4,6,7,1,5,2,3] => [3,2,5,1,7,6,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 2

[4,6,7,2,3,5,1] => [1,5,3,2,7,6,4] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[4,6,7,3,1,2,5] => [5,2,1,3,7,6,4] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2

[4,6,7,3,1,5,2] => [2,5,1,3,7,6,4] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 1

[4,6,7,3,5,1,2] => [2,1,5,3,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 1

[4,6,7,5,1,2,3] => [3,2,1,5,7,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2

[4,6,7,5,2,3,1] => [1,3,2,5,7,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 1

[4,6,7,5,3,1,2] => [2,1,3,5,7,6,4] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 1

[4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[4,7,1,2,3,5,6] => [6,5,3,2,1,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,1,2,3,6,5] => [5,6,3,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[4,7,1,2,5,3,6] => [6,3,5,2,1,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[4,7,1,2,5,6,3] => [3,6,5,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 1

[4,7,1,2,6,3,5] => [5,3,6,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 1

[4,7,1,2,6,5,3] => [3,5,6,2,1,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 3

[4,7,1,3,2,5,6] => [6,5,2,3,1,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[4,7,1,5,2,3,6] => [6,3,2,5,1,7,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 1

[4,7,1,6,2,3,5] => [5,3,2,6,1,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 1

[4,7,1,6,5,2,3] => [3,2,5,6,1,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 1

[4,7,2,1,3,5,6] => [6,5,3,1,2,7,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[4,7,2,3,1,5,6] => [6,5,1,3,2,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,2,3,5,6,1] => [1,6,5,3,2,7,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,2,3,6,1,5] => [5,1,6,3,2,7,4] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[4,7,2,5,3,1,6] => [6,1,3,5,2,7,4] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 3

[4,7,2,5,6,3,1] => [1,3,6,5,2,7,4] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 2

[4,7,2,6,3,5,1] => [1,5,3,6,2,7,4] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 1

[4,7,3,1,2,5,6] => [6,5,2,1,3,7,4] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 1

[4,7,3,1,2,6,5] => [5,6,2,1,3,7,4] => ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 2

[4,7,3,1,5,6,2] => [2,6,5,1,3,7,4] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 3

[4,7,3,1,6,2,5] => [5,2,6,1,3,7,4] => ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1

[4,7,3,1,6,5,2] => [2,5,6,1,3,7,4] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 8

[4,7,3,2,1,5,6] => [6,5,1,2,3,7,4] => ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 4

[4,7,3,2,6,1,5] => [5,1,6,2,3,7,4] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 8

[4,7,3,5,1,2,6] => [6,2,1,5,3,7,4] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 3

[4,7,3,6,1,2,5] => [5,2,1,6,3,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 1

[4,7,3,6,5,1,2] => [2,1,5,6,3,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6

[4,7,5,1,2,3,6] => [6,3,2,1,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 1

[4,7,5,1,2,6,3] => [3,6,2,1,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3

[4,7,5,2,3,6,1] => [1,6,3,2,5,7,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[4,7,5,3,1,2,6] => [6,2,1,3,5,7,4] => ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 2

[4,7,5,3,2,1,6] => [6,1,2,3,5,7,4] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 1

[4,7,5,3,6,1,2] => [2,1,6,3,5,7,4] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 1

[4,7,5,6,2,3,1] => [1,3,2,6,5,7,4] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 1

[4,7,5,6,3,1,2] => [2,1,3,6,5,7,4] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 1

[4,7,5,6,3,2,1] => [1,2,3,6,5,7,4] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1

[4,7,6,1,2,3,5] => [5,3,2,1,6,7,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[4,7,6,1,2,5,3] => [3,5,2,1,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 2

[4,7,6,1,5,2,3] => [3,2,5,1,6,7,4] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 1

[4,7,6,2,3,5,1] => [1,5,3,2,6,7,4] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1

[4,7,6,3,1,2,5] => [5,2,1,3,6,7,4] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 1

[4,7,6,3,1,5,2] => [2,5,1,3,6,7,4] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 6

[4,7,6,3,5,1,2] => [2,1,5,3,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 5

[4,7,6,5,1,2,3] => [3,2,1,5,6,7,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1

[4,7,6,5,3,1,2] => [2,1,3,5,6,7,4] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4

[4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 3

[5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => ([(2,6),(3,6),(4,6),(5,6)],7) => 1

[5,1,2,3,4,7,6] => [6,7,4,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 2

[5,1,2,3,6,4,7] => [7,4,6,3,2,1,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[5,1,2,3,6,7,4] => [4,7,6,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,1,2,3,7,4,6] => [6,4,7,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[5,1,2,3,7,6,4] => [4,6,7,3,2,1,5] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3

[5,1,2,4,3,6,7] => [7,6,3,4,2,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[5,1,2,4,3,7,6] => [6,7,3,4,2,1,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[5,1,2,4,6,3,7] => [7,3,6,4,2,1,5] => ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[5,1,2,4,6,7,3] => [3,7,6,4,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1

[5,1,2,4,7,3,6] => [6,3,7,4,2,1,5] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 3

[5,1,2,4,7,6,3] => [3,6,7,4,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 2

[5,1,2,6,3,4,7] => [7,4,3,6,2,1,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,2,6,3,7,4] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,1,2,6,4,3,7] => [7,3,4,6,2,1,5] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[5,1,2,6,4,7,3] => [3,7,4,6,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 2

[5,1,2,6,7,3,4] => [4,3,7,6,2,1,5] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,1,2,6,7,4,3] => [3,4,7,6,2,1,5] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,1,2,7,3,4,6] => [6,4,3,7,2,1,5] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,2,7,3,6,4] => [4,6,3,7,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[5,1,2,7,4,3,6] => [6,3,4,7,2,1,5] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 2

[5,1,2,7,4,6,3] => [3,6,4,7,2,1,5] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 1

[5,1,2,7,6,3,4] => [4,3,6,7,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[5,1,2,7,6,4,3] => [3,4,6,7,2,1,5] => ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 4

[5,1,3,2,4,6,7] => [7,6,4,2,3,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[5,1,3,2,4,7,6] => [6,7,4,2,3,1,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[5,1,3,2,7,4,6] => [6,4,7,2,3,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 2

[5,1,3,4,6,2,7] => [7,2,6,4,3,1,5] => ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[5,1,3,4,6,7,2] => [2,7,6,4,3,1,5] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 1

[5,1,3,4,7,6,2] => [2,6,7,4,3,1,5] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2

[5,1,3,6,4,7,2] => [2,7,4,6,3,1,5] => ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 2

[5,1,3,7,2,4,6] => [6,4,2,7,3,1,5] => ([(0,6),(1,5),(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] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[5,1,4,2,3,7,6] => [6,7,3,2,4,1,5] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 2

[5,1,4,2,7,3,6] => [6,3,7,2,4,1,5] => ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 1

[5,1,4,3,6,7,2] => [2,7,6,3,4,1,5] => ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 2

[5,1,4,3,7,6,2] => [2,6,7,3,4,1,5] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 4

[5,1,4,6,2,3,7] => [7,3,2,6,4,1,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[5,1,4,6,3,7,2] => [2,7,3,6,4,1,5] => ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 1

[5,1,4,6,7,3,2] => [2,3,7,6,4,1,5] => ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 1

[5,1,4,7,2,3,6] => [6,3,2,7,4,1,5] => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,1,4,7,3,6,2] => [2,6,3,7,4,1,5] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 3

[5,1,4,7,6,2,3] => [3,2,6,7,4,1,5] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 3

[5,1,6,2,3,4,7] => [7,4,3,2,6,1,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,6,2,3,7,4] => [4,7,3,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,1,6,2,7,3,4] => [4,3,7,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,1,6,4,2,3,7] => [7,3,2,4,6,1,5] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[5,1,6,4,7,2,3] => [3,2,7,4,6,1,5] => ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 4

[5,1,6,7,2,3,4] => [4,3,2,7,6,1,5] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,1,6,7,4,2,3] => [3,2,4,7,6,1,5] => ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 3

[5,1,7,2,3,4,6] => [6,4,3,2,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,7,2,3,6,4] => [4,6,3,2,7,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[5,1,7,2,4,3,6] => [6,3,4,2,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,1,7,2,6,3,4] => [4,3,6,2,7,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,1,7,3,2,4,6] => [6,4,2,3,7,1,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,1,7,4,2,3,6] => [6,3,2,4,7,1,5] => ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 1

[5,1,7,4,6,2,3] => [3,2,6,4,7,1,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 2

[5,1,7,6,2,3,4] => [4,3,2,6,7,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[5,1,7,6,4,2,3] => [3,2,4,6,7,1,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 1

[5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => 2

[5,2,1,3,4,7,6] => [6,7,4,3,1,2,5] => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 4

[5,2,1,3,7,4,6] => [6,4,7,3,1,2,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 2

[5,2,1,6,3,4,7] => [7,4,3,6,1,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[5,2,1,7,3,4,6] => [6,4,3,7,1,2,5] => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[5,2,1,7,6,3,4] => [4,3,6,7,1,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 2

[5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,3,4,7,1,6] => [6,1,7,4,3,2,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 2

[5,2,3,4,7,6,1] => [1,6,7,4,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 2

[5,2,3,6,4,1,7] => [7,1,4,6,3,2,5] => ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[5,2,3,6,4,7,1] => [1,7,4,6,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 2

[5,2,3,6,7,4,1] => [1,4,7,6,3,2,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 1

[5,2,3,7,4,6,1] => [1,6,4,7,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1

[5,2,4,1,3,6,7] => [7,6,3,1,4,2,5] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[5,2,4,3,1,6,7] => [7,6,1,3,4,2,5] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[5,2,4,3,6,1,7] => [7,1,6,3,4,2,5] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[5,2,4,3,6,7,1] => [1,7,6,3,4,2,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[5,2,4,3,7,6,1] => [1,6,7,3,4,2,5] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4

[5,2,4,6,3,7,1] => [1,7,3,6,4,2,5] => ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 1

[5,2,6,1,3,4,7] => [7,4,3,1,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,2,6,3,4,1,7] => [7,1,4,3,6,2,5] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,6,3,4,7,1] => [1,7,4,3,6,2,5] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,6,3,7,4,1] => [1,4,7,3,6,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4

[5,2,6,4,1,3,7] => [7,3,1,4,6,2,5] => ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 5

[5,2,6,7,3,4,1] => [1,4,3,7,6,2,5] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,2,6,7,4,1,3] => [3,1,4,7,6,2,5] => ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 2

[5,2,7,1,3,4,6] => [6,4,3,1,7,2,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2

[5,2,7,1,6,3,4] => [4,3,6,1,7,2,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 2

[5,2,7,3,4,6,1] => [1,6,4,3,7,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,7,6,1,3,4] => [4,3,1,6,7,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 2

[5,2,7,6,3,4,1] => [1,4,3,6,7,2,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 1

[5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => ([(2,6),(3,5),(4,5),(5,6)],7) => 1

[5,3,1,2,4,7,6] => [6,7,4,2,1,3,5] => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 2

[5,3,1,2,6,4,7] => [7,4,6,2,1,3,5] => ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[5,3,1,2,6,7,4] => [4,7,6,2,1,3,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 1

[5,3,1,2,7,4,6] => [6,4,7,2,1,3,5] => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 1

[5,3,1,2,7,6,4] => [4,6,7,2,1,3,5] => ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 3

[5,3,1,4,2,6,7] => [7,6,2,4,1,3,5] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[5,3,1,4,6,2,7] => [7,2,6,4,1,3,5] => ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2

[5,3,1,4,6,7,2] => [2,7,6,4,1,3,5] => ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 2

[5,3,1,4,7,6,2] => [2,6,7,4,1,3,5] => ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 4

[5,3,1,6,4,2,7] => [7,2,4,6,1,3,5] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 6

[5,3,1,6,4,7,2] => [2,7,4,6,1,3,5] => ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 5

[5,3,1,6,7,4,2] => [2,4,7,6,1,3,5] => ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 3

[5,3,1,7,2,4,6] => [6,4,2,7,1,3,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 1

[5,3,1,7,4,6,2] => [2,6,4,7,1,3,5] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 2

[5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 2

[5,3,2,4,7,6,1] => [1,6,7,4,2,3,5] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4

[5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[5,3,4,1,2,7,6] => [6,7,2,1,4,3,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 4

[5,3,4,1,7,2,6] => [6,2,7,1,4,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3

[5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 1

[5,3,4,2,7,6,1] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2

[5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[5,3,4,7,1,2,6] => [6,2,1,7,4,3,5] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 3

[5,3,4,7,2,6,1] => [1,6,2,7,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 2

[5,3,6,1,2,4,7] => [7,4,2,1,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,3,6,1,2,7,4] => [4,7,2,1,6,3,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 4

[5,3,6,4,1,2,7] => [7,2,1,4,6,3,5] => ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 4

[5,3,6,7,4,1,2] => [2,1,4,7,6,3,5] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 2

[5,3,7,1,2,4,6] => [6,4,2,1,7,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,3,7,1,2,6,4] => [4,6,2,1,7,3,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 2

[5,3,7,4,1,2,6] => [6,2,1,4,7,3,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 2

[5,3,7,6,1,2,4] => [4,2,1,6,7,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 1

[5,3,7,6,4,1,2] => [2,1,4,6,7,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6

[5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => ([(2,6),(3,6),(4,6),(6,5)],7) => 1

[5,4,1,2,3,7,6] => [6,7,3,2,1,4,5] => ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 2

[5,4,1,2,6,3,7] => [7,3,6,2,1,4,5] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[5,4,1,2,6,7,3] => [3,7,6,2,1,4,5] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 1

[5,4,1,2,7,3,6] => [6,3,7,2,1,4,5] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1

[5,4,1,2,7,6,3] => [3,6,7,2,1,4,5] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 3

[5,4,1,3,6,7,2] => [2,7,6,3,1,4,5] => ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 1

[5,4,1,6,2,3,7] => [7,3,2,6,1,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[5,4,1,6,7,2,3] => [3,2,7,6,1,4,5] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[5,4,1,7,2,3,6] => [6,3,2,7,1,4,5] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[5,4,1,7,6,2,3] => [3,2,6,7,1,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1

[5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 1

[5,4,2,3,7,1,6] => [6,1,7,3,2,4,5] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 2

[5,4,2,3,7,6,1] => [1,6,7,3,2,4,5] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 2

[5,4,2,6,3,1,7] => [7,1,3,6,2,4,5] => ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4

[5,4,2,6,3,7,1] => [1,7,3,6,2,4,5] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4

[5,4,2,6,7,3,1] => [1,3,7,6,2,4,5] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 3

[5,4,2,7,3,6,1] => [1,6,3,7,2,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 1

[5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => ([(2,6),(3,6),(4,5),(6,4)],7) => 1

[5,4,3,1,2,7,6] => [6,7,2,1,3,4,5] => ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 2

[5,4,3,1,7,2,6] => [6,2,7,1,3,4,5] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 1

[5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 4

[5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 8

[5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4

[5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 3

[5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 3

[5,4,3,7,1,2,6] => [6,2,1,7,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 1

[5,4,3,7,6,1,2] => [2,1,6,7,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 7

[5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 6

[5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[5,4,6,1,2,7,3] => [3,7,2,1,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4

[5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 3

[5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3

[5,4,6,2,7,3,1] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2

[5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3

[5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2

[5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2

[5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2

[5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 2

[5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 2

[5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2

[5,4,7,1,2,3,6] => [6,3,2,1,7,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1

[5,4,7,1,2,6,3] => [3,6,2,1,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 2

[5,4,7,1,6,2,3] => [3,2,6,1,7,4,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 1

[5,4,7,2,3,6,1] => [1,6,3,2,7,4,5] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 1

[5,4,7,3,1,2,6] => [6,2,1,3,7,4,5] => ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 1

[5,4,7,3,6,1,2] => [2,1,6,3,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6

[5,4,7,6,1,2,3] => [3,2,1,6,7,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1

[5,4,7,6,2,3,1] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 5

[5,4,7,6,3,1,2] => [2,1,3,6,7,4,5] => ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 5

[5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 4

[5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,1,2,3,7,4] => [4,7,3,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,1,2,4,3,7] => [7,3,4,2,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,6,1,2,4,7,3] => [3,7,4,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 1

[5,6,1,2,7,3,4] => [4,3,7,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,6,1,2,7,4,3] => [3,4,7,2,1,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 4

[5,6,1,3,2,4,7] => [7,4,2,3,1,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,6,1,4,2,3,7] => [7,3,2,4,1,6,5] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,1,4,3,7,2] => [2,7,3,4,1,6,5] => ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 3

[5,6,1,4,7,2,3] => [3,2,7,4,1,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3

[5,6,1,4,7,3,2] => [2,3,7,4,1,6,5] => ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 2

[5,6,1,7,2,3,4] => [4,3,2,7,1,6,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,6,1,7,4,2,3] => [3,2,4,7,1,6,5] => ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2

[5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,2,3,7,4,1] => [1,4,7,3,2,6,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3

[5,6,2,4,1,3,7] => [7,3,1,4,2,6,5] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,2,7,3,4,1] => [1,4,3,7,2,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,2,7,4,1,3] => [3,1,4,7,2,6,5] => ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 1

[5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,3,1,2,7,4] => [4,7,2,1,3,6,5] => ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 3

[5,6,3,1,4,2,7] => [7,2,4,1,3,6,5] => ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4

[5,6,3,1,4,7,2] => [2,7,4,1,3,6,5] => ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 3

[5,6,3,1,7,4,2] => [2,4,7,1,3,6,5] => ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 1

[5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3

[5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2

[5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2

[5,6,3,7,1,2,4] => [4,2,1,7,3,6,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 2

[5,6,3,7,4,1,2] => [2,1,4,7,3,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 1

[5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 1

[5,6,4,1,2,7,3] => [3,7,2,1,4,6,5] => ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 3

[5,6,4,1,7,2,3] => [3,2,7,1,4,6,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2

[5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 2

[5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 2

[5,6,4,2,7,3,1] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 1

[5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2

[5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 1

[5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 1

[5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 1

[5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2

[5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 1

[5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 1

[5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 1

[5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[5,6,7,1,4,2,3] => [3,2,4,1,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2

[5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => ([(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) => 2

[5,6,7,2,4,1,3] => [3,1,4,2,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 1

[5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2

[5,6,7,3,1,4,2] => [2,4,1,3,7,6,5] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 1

[5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 1

[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 2

[5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 1

[5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 1

[5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 1

[5,7,1,2,3,4,6] => [6,4,3,2,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,2,3,6,4] => [4,6,3,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[5,7,1,2,4,3,6] => [6,3,4,2,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,7,1,2,4,6,3] => [3,6,4,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,2,6,3,4] => [4,3,6,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,7,1,2,6,4,3] => [3,4,6,2,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 3

[5,7,1,3,2,4,6] => [6,4,2,3,1,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,7,1,4,2,3,6] => [6,3,2,4,1,7,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[5,7,1,4,3,6,2] => [2,6,3,4,1,7,5] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 2

[5,7,1,4,6,2,3] => [3,2,6,4,1,7,5] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[5,7,1,4,6,3,2] => [2,3,6,4,1,7,5] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1

[5,7,1,6,2,3,4] => [4,3,2,6,1,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 1

[5,7,1,6,4,2,3] => [3,2,4,6,1,7,5] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 1

[5,7,2,1,3,4,6] => [6,4,3,1,2,7,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[5,7,2,1,6,3,4] => [4,3,6,1,2,7,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 2

[5,7,2,3,4,6,1] => [1,6,4,3,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,6,1,3,4] => [4,3,1,6,2,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2

[5,7,2,6,3,4,1] => [1,4,3,6,2,7,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[5,7,3,1,2,4,6] => [6,4,2,1,3,7,5] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[5,7,3,1,2,6,4] => [4,6,2,1,3,7,5] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 2

[5,7,3,1,4,6,2] => [2,6,4,1,3,7,5] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,7,3,4,1,2,6] => [6,2,1,4,3,7,5] => ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[5,7,3,4,2,6,1] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 1

[5,7,3,4,6,2,1] => [1,2,6,4,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1

[5,7,3,6,1,2,4] => [4,2,1,6,3,7,5] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1

[5,7,3,6,4,1,2] => [2,1,4,6,3,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 5

[5,7,4,1,2,3,6] => [6,3,2,1,4,7,5] => ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[5,7,4,1,2,6,3] => [3,6,2,1,4,7,5] => ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 2

[5,7,4,1,6,2,3] => [3,2,6,1,4,7,5] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1

[5,7,4,2,3,6,1] => [1,6,3,2,4,7,5] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 1

[5,7,4,3,1,2,6] => [6,2,1,3,4,7,5] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 1

[5,7,4,3,6,1,2] => [2,1,6,3,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 5

[5,7,4,6,1,2,3] => [3,2,1,6,4,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 1

[5,7,4,6,2,3,1] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4

[5,7,4,6,3,1,2] => [2,1,3,6,4,7,5] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4

[5,7,6,1,2,3,4] => [4,3,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[5,7,6,1,2,4,3] => [3,4,2,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[5,7,6,1,3,2,4] => [4,2,3,1,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[5,7,6,1,4,2,3] => [3,2,4,1,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1

[5,7,6,2,1,3,4] => [4,3,1,2,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[5,7,6,2,3,4,1] => [1,4,3,2,6,7,5] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1

[5,7,6,3,1,2,4] => [4,2,1,3,6,7,5] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1

[5,7,6,3,4,1,2] => [2,1,4,3,6,7,5] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4

[5,7,6,4,1,2,3] => [3,2,1,4,6,7,5] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1

[5,7,6,4,3,1,2] => [2,1,3,4,6,7,5] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3

[5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2

[6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,1,2,3,4,7,5] => [5,7,4,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2

[6,1,2,3,5,4,7] => [7,4,5,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[6,1,2,3,5,7,4] => [4,7,5,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[6,1,2,3,7,4,5] => [5,4,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,3,7,5,4] => [4,5,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3

[6,1,2,4,3,5,7] => [7,5,3,4,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[6,1,2,4,3,7,5] => [5,7,3,4,2,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[6,1,2,4,5,3,7] => [7,3,5,4,2,1,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,1,2,4,5,7,3] => [3,7,5,4,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1

[6,1,2,4,7,3,5] => [5,3,7,4,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3

[6,1,2,4,7,5,3] => [3,5,7,4,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[6,1,2,5,3,4,7] => [7,4,3,5,2,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,1,2,5,3,7,4] => [4,7,3,5,2,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 3

[6,1,2,5,4,3,7] => [7,3,4,5,2,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[6,1,2,5,4,7,3] => [3,7,4,5,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 2

[6,1,2,5,7,3,4] => [4,3,7,5,2,1,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,1,2,5,7,4,3] => [3,4,7,5,2,1,6] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1

[6,1,2,7,3,4,5] => [5,4,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,7,3,5,4] => [4,5,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,1,2,7,4,3,5] => [5,3,4,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,1,2,7,4,5,3] => [3,5,4,7,2,1,6] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,7,5,3,4] => [4,3,5,7,2,1,6] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 1

[6,1,2,7,5,4,3] => [3,4,5,7,2,1,6] => ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 4

[6,1,3,2,4,5,7] => [7,5,4,2,3,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[6,1,3,2,4,7,5] => [5,7,4,2,3,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[6,1,3,2,7,4,5] => [5,4,7,2,3,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[6,1,3,4,2,5,7] => [7,5,2,4,3,1,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,1,3,4,5,2,7] => [7,2,5,4,3,1,6] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[6,1,3,4,5,7,2] => [2,7,5,4,3,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1

[6,1,3,4,7,5,2] => [2,5,7,4,3,1,6] => ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2

[6,1,3,5,4,7,2] => [2,7,4,5,3,1,6] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[6,1,3,5,7,4,2] => [2,4,7,5,3,1,6] => ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 1

[6,1,3,7,2,4,5] => [5,4,2,7,3,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[6,1,4,2,3,5,7] => [7,5,3,2,4,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,1,4,2,3,7,5] => [5,7,3,2,4,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[6,1,4,2,7,3,5] => [5,3,7,2,4,1,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 1

[6,1,4,3,2,5,7] => [7,5,2,3,4,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[6,1,4,3,5,7,2] => [2,7,5,3,4,1,6] => ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 2

[6,1,4,3,7,5,2] => [2,5,7,3,4,1,6] => ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 4

[6,1,4,5,2,3,7] => [7,3,2,5,4,1,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[6,1,4,5,3,7,2] => [2,7,3,5,4,1,6] => ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 1

[6,1,4,5,7,3,2] => [2,3,7,5,4,1,6] => ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[6,1,4,7,2,3,5] => [5,3,2,7,4,1,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 1

[6,1,4,7,3,5,2] => [2,5,3,7,4,1,6] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 3

[6,1,4,7,5,2,3] => [3,2,5,7,4,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 3

[6,1,5,2,3,4,7] => [7,4,3,2,5,1,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,1,5,2,3,7,4] => [4,7,3,2,5,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2

[6,1,5,2,7,3,4] => [4,3,7,2,5,1,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 1

[6,1,5,4,2,3,7] => [7,3,2,4,5,1,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[6,1,5,4,2,7,3] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 4

[6,1,5,4,3,2,7] => [7,2,3,4,5,1,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 4

[6,1,5,4,7,2,3] => [3,2,7,4,5,1,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 3

[6,1,5,7,2,3,4] => [4,3,2,7,5,1,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 1

[6,1,5,7,4,2,3] => [3,2,4,7,5,1,6] => ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 2

[6,1,5,7,4,3,2] => [2,3,4,7,5,1,6] => ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 1

[6,1,7,2,3,4,5] => [5,4,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,7,2,3,5,4] => [4,5,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,1,7,2,4,3,5] => [5,3,4,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,1,7,2,5,3,4] => [4,3,5,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[6,1,7,3,2,4,5] => [5,4,2,3,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,1,7,4,2,3,5] => [5,3,2,4,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[6,1,7,4,5,2,3] => [3,2,5,4,7,1,6] => ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,7,5,2,3,4] => [4,3,2,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1

[6,1,7,5,4,2,3] => [3,2,4,5,7,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 1

[6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[6,2,1,3,4,7,5] => [5,7,4,3,1,2,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 4

[6,2,1,3,7,4,5] => [5,4,7,3,1,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[6,2,1,5,3,4,7] => [7,4,3,5,1,2,6] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[6,2,1,5,7,3,4] => [4,3,7,5,1,2,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 4

[6,2,1,7,3,4,5] => [5,4,3,7,1,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2

[6,2,1,7,5,3,4] => [4,3,5,7,1,2,6] => ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 2

[6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,2,3,1,7,4,5] => [5,4,7,1,3,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 1

[6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[6,2,3,4,7,5,1] => [1,5,7,4,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 2

[6,2,3,5,1,4,7] => [7,4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[6,2,3,5,4,1,7] => [7,1,4,5,3,2,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[6,2,3,5,4,7,1] => [1,7,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[6,2,3,5,7,4,1] => [1,4,7,5,3,2,6] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[6,2,3,7,1,4,5] => [5,4,1,7,3,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 1

[6,2,3,7,4,5,1] => [1,5,4,7,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,3,7,5,1,4] => [4,1,5,7,3,2,6] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 3

[6,2,4,3,5,1,7] => [7,1,5,3,4,2,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[6,2,4,3,5,7,1] => [1,7,5,3,4,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[6,2,4,5,3,7,1] => [1,7,3,5,4,2,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1

[6,2,4,5,7,3,1] => [1,3,7,5,4,2,6] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[6,2,5,1,3,4,7] => [7,4,3,1,5,2,6] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[6,2,5,1,7,3,4] => [4,3,7,1,5,2,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 3

[6,2,5,3,4,1,7] => [7,1,4,3,5,2,6] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,2,5,3,4,7,1] => [1,7,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,2,5,3,7,4,1] => [1,4,7,3,5,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 3

[6,2,5,7,1,3,4] => [4,3,1,7,5,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3

[6,2,5,7,3,4,1] => [1,4,3,7,5,2,6] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2

[6,2,7,1,3,4,5] => [5,4,3,1,7,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2

[6,2,7,1,5,3,4] => [4,3,5,1,7,2,6] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,7,3,1,4,5] => [5,4,1,3,7,2,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,3,4,5,1] => [1,5,4,3,7,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,3,5,1,4] => [4,1,5,3,7,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,7,4,3,1,5] => [5,1,3,4,7,2,6] => ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 2

[6,2,7,4,5,3,1] => [1,3,5,4,7,2,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 1

[6,2,7,5,1,3,4] => [4,3,1,5,7,2,6] => ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 2

[6,2,7,5,3,4,1] => [1,4,3,5,7,2,6] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 1

[6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,3,1,2,4,7,5] => [5,7,4,2,1,3,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 2

[6,3,1,2,5,4,7] => [7,4,5,2,1,3,6] => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[6,3,1,2,5,7,4] => [4,7,5,2,1,3,6] => ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 1

[6,3,1,2,7,4,5] => [5,4,7,2,1,3,6] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 1

[6,3,1,2,7,5,4] => [4,5,7,2,1,3,6] => ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 3

[6,3,1,4,5,2,7] => [7,2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[6,3,1,4,5,7,2] => [2,7,5,4,1,3,6] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2

[6,3,1,4,7,5,2] => [2,5,7,4,1,3,6] => ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 4

[6,3,1,5,2,4,7] => [7,4,2,5,1,3,6] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,3,1,5,4,2,7] => [7,2,4,5,1,3,6] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 5

[6,3,1,5,7,2,4] => [4,2,7,5,1,3,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3

[6,3,1,7,2,4,5] => [5,4,2,7,1,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 1

[6,3,1,7,4,5,2] => [2,5,4,7,1,3,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[6,3,1,7,5,2,4] => [4,2,5,7,1,3,6] => ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1

[6,3,1,7,5,4,2] => [2,4,5,7,1,3,6] => ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 8

[6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[6,3,2,1,7,4,5] => [5,4,7,1,2,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 3

[6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 2

[6,3,2,5,1,4,7] => [7,4,1,5,2,3,6] => ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 5

[6,3,2,5,4,7,1] => [1,7,4,5,2,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 4

[6,3,2,5,7,4,1] => [1,4,7,5,2,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2

[6,3,2,7,1,4,5] => [5,4,1,7,2,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 3

[6,3,2,7,5,1,4] => [4,1,5,7,2,3,6] => ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 8

[6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[6,3,4,1,2,7,5] => [5,7,2,1,4,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 4

[6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1

[6,3,4,2,7,5,1] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2

[6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1

[6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[6,3,4,7,2,5,1] => [1,5,2,7,4,3,6] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 2

[6,3,5,1,2,4,7] => [7,4,2,1,5,3,6] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[6,3,5,1,2,7,4] => [4,7,2,1,5,3,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 3

[6,3,5,4,1,2,7] => [7,2,1,4,5,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[6,3,5,7,4,1,2] => [2,1,4,7,5,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 1

[6,3,7,1,2,4,5] => [5,4,2,1,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[6,3,7,1,2,5,4] => [4,5,2,1,7,3,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 2

[6,3,7,2,1,4,5] => [5,4,1,2,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 3

[6,3,7,4,1,2,5] => [5,2,1,4,7,3,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,4,2,1,5] => [5,1,2,4,7,3,6] => ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1

[6,3,7,4,5,2,1] => [1,2,5,4,7,3,6] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1

[6,3,7,5,1,2,4] => [4,2,1,5,7,3,6] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1

[6,3,7,5,4,1,2] => [2,1,4,5,7,3,6] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 5

[6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[6,4,1,2,3,7,5] => [5,7,3,2,1,4,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 2

[6,4,1,2,5,3,7] => [7,3,5,2,1,4,6] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[6,4,1,2,5,7,3] => [3,7,5,2,1,4,6] => ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 1

[6,4,1,2,7,3,5] => [5,3,7,2,1,4,6] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1

[6,4,1,2,7,5,3] => [3,5,7,2,1,4,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 3

[6,4,1,3,5,7,2] => [2,7,5,3,1,4,6] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 1

[6,4,1,5,2,3,7] => [7,3,2,5,1,4,6] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[6,4,1,5,7,2,3] => [3,2,7,5,1,4,6] => ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 3

[6,4,1,7,2,3,5] => [5,3,2,7,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 1

[6,4,1,7,5,2,3] => [3,2,5,7,1,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 1

[6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1

[6,4,2,3,7,5,1] => [1,5,7,3,2,4,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 2

[6,4,2,7,3,5,1] => [1,5,3,7,2,4,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 1

[6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[6,4,3,1,2,7,5] => [5,7,2,1,3,4,6] => ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 2

[6,4,3,1,7,2,5] => [5,2,7,1,3,4,6] => ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 1

[6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 4

[6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[6,4,3,7,1,2,5] => [5,2,1,7,3,4,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 1

[6,4,3,7,5,1,2] => [2,1,5,7,3,4,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6

[6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[6,4,5,1,2,7,3] => [3,7,2,1,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 3

[6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2

[6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[6,4,5,2,7,3,1] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1

[6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2

[6,4,5,3,1,7,2] => [2,7,1,3,5,4,6] => ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1

[6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 1

[6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 1

[6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 1

[6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1

[6,4,7,1,2,3,5] => [5,3,2,1,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 1

[6,4,7,1,2,5,3] => [3,5,2,1,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2

[6,4,7,1,5,2,3] => [3,2,5,1,7,4,6] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1

[6,4,7,2,3,5,1] => [1,5,3,2,7,4,6] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1

[6,4,7,3,1,2,5] => [5,2,1,3,7,4,6] => ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 1

[6,4,7,3,5,1,2] => [2,1,5,3,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 5

[6,4,7,5,1,2,3] => [3,2,1,5,7,4,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 1

[6,4,7,5,2,3,1] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4

[6,4,7,5,3,1,2] => [2,1,3,5,7,4,6] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4

[6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,5,1,2,3,7,4] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2

[6,5,1,2,4,3,7] => [7,3,4,2,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[6,5,1,2,4,7,3] => [3,7,4,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 1

[6,5,1,2,7,3,4] => [4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[6,5,1,2,7,4,3] => [3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 3

[6,5,1,3,2,4,7] => [7,4,2,3,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[6,5,1,3,4,7,2] => [2,7,4,3,1,5,6] => ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1

[6,5,1,4,2,3,7] => [7,3,2,4,1,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[6,5,1,4,7,2,3] => [3,2,7,4,1,5,6] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 2

[6,5,1,7,2,3,4] => [4,3,2,7,1,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[6,5,1,7,4,2,3] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 1

[6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[6,5,2,1,7,3,4] => [4,3,7,1,2,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 2

[6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 1

[6,5,2,3,7,4,1] => [1,4,7,3,2,5,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 2

[6,5,2,4,1,3,7] => [7,3,1,4,2,5,6] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 3

[6,5,2,4,3,1,7] => [7,1,3,4,2,5,6] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2

[6,5,2,4,3,7,1] => [1,7,3,4,2,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 2

[6,5,2,7,1,3,4] => [4,3,1,7,2,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 2

[6,5,2,7,3,4,1] => [1,4,3,7,2,5,6] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1

[6,5,2,7,4,1,3] => [3,1,4,7,2,5,6] => ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 6

[6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[6,5,3,1,2,7,4] => [4,7,2,1,3,5,6] => ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 2

[6,5,3,1,4,2,7] => [7,2,4,1,3,5,6] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 3

[6,5,3,1,4,7,2] => [2,7,4,1,3,5,6] => ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 2

[6,5,3,1,7,4,2] => [2,4,7,1,3,5,6] => ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 7

[6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2

[6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 2

[6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2

[6,5,3,7,1,2,4] => [4,2,1,7,3,5,6] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 1

[6,5,3,7,4,1,2] => [2,1,4,7,3,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 5

[6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[6,5,4,1,2,7,3] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 2

[6,5,4,1,7,2,3] => [3,2,7,1,4,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1

[6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1

[6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 5

[6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5

[6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 4

[6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1

[6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4

[6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 3

[6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1

[6,5,7,1,2,4,3] => [3,4,2,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[6,5,7,1,3,2,4] => [4,2,3,1,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[6,5,7,1,4,2,3] => [3,2,4,1,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1

[6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2

[6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1

[6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1

[6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4

[6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1

[6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3

[6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2

[6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,2,3,5,4] => [4,5,3,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,7,1,2,4,3,5] => [5,3,4,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,7,1,2,4,5,3] => [3,5,4,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,2,5,3,4] => [4,3,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[6,7,1,2,5,4,3] => [3,4,5,2,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 3

[6,7,1,3,2,4,5] => [5,4,2,3,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,7,1,3,4,2,5] => [5,2,4,3,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,3,5,4,2] => [2,4,5,3,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2

[6,7,1,4,2,3,5] => [5,3,2,4,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[6,7,1,4,3,2,5] => [5,2,3,4,1,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 3

[6,7,1,4,3,5,2] => [2,5,3,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2

[6,7,1,4,5,2,3] => [3,2,5,4,1,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,1,4,5,3,2] => [2,3,5,4,1,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1

[6,7,1,5,2,3,4] => [4,3,2,5,1,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 1

[6,7,1,5,4,2,3] => [3,2,4,5,1,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 1

[6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2

[6,7,2,1,5,3,4] => [4,3,5,1,2,7,6] => ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => ([(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) => 1

[6,7,2,3,5,1,4] => [4,1,5,3,2,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,4,3,1,5] => [5,1,3,4,2,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2

[6,7,2,4,5,3,1] => [1,3,5,4,2,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 1

[6,7,2,5,1,3,4] => [4,3,1,5,2,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[6,7,2,5,3,4,1] => [1,4,3,5,2,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1

[6,7,3,1,2,5,4] => [4,5,2,1,3,7,6] => ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,1,4,5,2] => [2,5,4,1,3,7,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,1,5,2,4] => [4,2,5,1,3,7,6] => ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1

[6,7,3,1,5,4,2] => [2,4,5,1,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6

[6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 3

[6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2

[6,7,3,2,5,1,4] => [4,1,5,2,3,7,6] => ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6

[6,7,3,2,5,4,1] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 5

[6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1

[6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 1

[6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1

[6,7,3,5,1,2,4] => [4,2,1,5,3,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 1

[6,7,3,5,4,1,2] => [2,1,4,5,3,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4

[6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 1

[6,7,4,1,2,5,3] => [3,5,2,1,4,7,6] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2

[6,7,4,1,5,2,3] => [3,2,5,1,4,7,6] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 1

[6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 1

[6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4

[6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1

[6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3

[6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 3

[6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 1

[6,7,5,1,2,4,3] => [3,4,2,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2

[6,7,5,1,3,2,4] => [4,2,3,1,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2

[6,7,5,1,4,2,3] => [3,2,4,1,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 1

[6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2

[6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 1

[6,7,5,2,4,1,3] => [3,1,4,2,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4

[6,7,5,2,4,3,1] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3

[6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 1

[6,7,5,3,1,4,2] => [2,4,1,3,5,7,6] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4

[6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3

[6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 3

[6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 1

[6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => ([(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] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 1

[7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,1,2,3,4,6,5] => [5,6,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[7,1,2,3,5,4,6] => [6,4,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[7,1,2,3,5,6,4] => [4,6,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,3,6,4,5] => [5,4,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,1,2,3,6,5,4] => [4,5,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[7,1,2,4,3,5,6] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[7,1,2,4,3,6,5] => [5,6,3,4,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,1,2,4,5,3,6] => [6,3,5,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,4,5,6,3] => [3,6,5,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,1,2,4,6,3,5] => [5,3,6,4,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,1,2,4,6,5,3] => [3,5,6,4,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,2,5,3,4,6] => [6,4,3,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,1,2,5,3,6,4] => [4,6,3,5,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,1,2,5,4,3,6] => [6,3,4,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[7,1,2,5,4,6,3] => [3,6,4,5,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,2,5,6,3,4] => [4,3,6,5,2,1,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,2,5,6,4,3] => [3,4,6,5,2,1,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,6,3,4,5] => [5,4,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[7,1,2,6,3,5,4] => [4,5,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,1,2,6,4,3,5] => [5,3,4,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,1,2,6,4,5,3] => [3,5,4,6,2,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[7,1,2,6,5,3,4] => [4,3,5,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[7,1,2,6,5,4,3] => [3,4,5,6,2,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 4

[7,1,3,2,4,5,6] => [6,5,4,2,3,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[7,1,3,2,4,6,5] => [5,6,4,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,1,3,2,5,4,6] => [6,4,5,2,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,1,3,2,6,4,5] => [5,4,6,2,3,1,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,1,3,2,6,5,4] => [4,5,6,2,3,1,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,1,3,4,2,5,6] => [6,5,2,4,3,1,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,3,4,5,2,6] => [6,2,5,4,3,1,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,1,3,4,5,6,2] => [2,6,5,4,3,1,7] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,1,3,4,6,5,2] => [2,5,6,4,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,1,3,5,2,4,6] => [6,4,2,5,3,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,1,3,5,4,2,6] => [6,2,4,5,3,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,3,5,4,6,2] => [2,6,4,5,3,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,1,3,5,6,4,2] => [2,4,6,5,3,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,1,3,6,2,4,5] => [5,4,2,6,3,1,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,3,6,5,2,4] => [4,2,5,6,3,1,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4

[7,1,4,2,3,5,6] => [6,5,3,2,4,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,1,4,2,3,6,5] => [5,6,3,2,4,1,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,1,4,2,5,3,6] => [6,3,5,2,4,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,1,4,2,6,3,5] => [5,3,6,2,4,1,7] => ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,4,3,2,5,6] => [6,5,2,3,4,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[7,1,4,3,2,6,5] => [5,6,2,3,4,1,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,1,4,3,5,2,6] => [6,2,5,3,4,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,4,3,5,6,2] => [2,6,5,3,4,1,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,1,4,3,6,5,2] => [2,5,6,3,4,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 4

[7,1,4,5,2,3,6] => [6,3,2,5,4,1,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,4,5,3,2,6] => [6,2,3,5,4,1,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,4,5,3,6,2] => [2,6,3,5,4,1,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,1,4,5,6,3,2] => [2,3,6,5,4,1,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[7,1,4,6,2,3,5] => [5,3,2,6,4,1,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,4,6,3,5,2] => [2,5,3,6,4,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 3

[7,1,4,6,5,2,3] => [3,2,5,6,4,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[7,1,5,2,3,4,6] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[7,1,5,2,3,6,4] => [4,6,3,2,5,1,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,1,5,2,4,3,6] => [6,3,4,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,1,5,2,6,3,4] => [4,3,6,2,5,1,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,5,3,2,4,6] => [6,4,2,3,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,1,5,3,4,2,6] => [6,2,4,3,5,1,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[7,1,5,3,6,4,2] => [2,4,6,3,5,1,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 3

[7,1,5,4,2,3,6] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[7,1,5,4,2,6,3] => [3,6,2,4,5,1,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4

[7,1,5,4,3,2,6] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 4

[7,1,5,4,6,2,3] => [3,2,6,4,5,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[7,1,5,6,2,3,4] => [4,3,2,6,5,1,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,5,6,4,2,3] => [3,2,4,6,5,1,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2

[7,1,5,6,4,3,2] => [2,3,4,6,5,1,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1

[7,1,6,2,3,4,5] => [5,4,3,2,6,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,1,6,2,3,5,4] => [4,5,3,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,1,6,2,4,3,5] => [5,3,4,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,1,6,2,5,3,4] => [4,3,5,2,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1

[7,1,6,2,5,4,3] => [3,4,5,2,6,1,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3

[7,1,6,3,2,4,5] => [5,4,2,3,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,1,6,3,2,5,4] => [4,5,2,3,6,1,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4

[7,1,6,4,2,3,5] => [5,3,2,4,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1

[7,1,6,4,3,2,5] => [5,2,3,4,6,1,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3

[7,1,6,4,5,2,3] => [3,2,5,4,6,1,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 2

[7,1,6,5,2,3,4] => [4,3,2,5,6,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 1

[7,1,6,5,2,4,3] => [3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,1,6,5,3,2,4] => [4,2,3,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,1,6,5,3,4,2] => [2,4,3,5,6,1,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1

[7,1,6,5,4,2,3] => [3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1

[7,1,6,5,4,3,2] => [2,3,4,5,6,1,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 5

[7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2

[7,2,1,3,4,6,5] => [5,6,4,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,2,1,3,5,4,6] => [6,4,5,3,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,2,1,3,6,4,5] => [5,4,6,3,1,2,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,2,1,3,6,5,4] => [4,5,6,3,1,2,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,2,1,4,3,5,6] => [6,5,3,4,1,2,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 4

[7,2,1,4,3,6,5] => [5,6,3,4,1,2,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 8

[7,2,1,5,3,4,6] => [6,4,3,5,1,2,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,2,1,5,4,3,6] => [6,3,4,5,1,2,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,2,1,5,6,3,4] => [4,3,6,5,1,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 4

[7,2,1,6,3,4,5] => [5,4,3,6,1,2,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 2

[7,2,1,6,3,5,4] => [4,5,3,6,1,2,7] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 4

[7,2,1,6,4,3,5] => [5,3,4,6,1,2,7] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 4

[7,2,1,6,5,3,4] => [4,3,5,6,1,2,7] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 2

[7,2,1,6,5,4,3] => [3,4,5,6,1,2,7] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 8

[7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,3,1,6,4,5] => [5,4,6,1,3,2,7] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => ([(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] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,2,3,4,6,5,1] => [1,5,6,4,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 2

[7,2,3,5,4,1,6] => [6,1,4,5,3,2,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,2,3,5,4,6,1] => [1,6,4,5,3,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 2

[7,2,3,5,6,4,1] => [1,4,6,5,3,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,2,3,6,1,4,5] => [5,4,1,6,3,2,7] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,2,3,6,4,5,1] => [1,5,4,6,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,2,4,1,3,5,6] => [6,5,3,1,4,2,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,2,4,3,1,5,6] => [6,5,1,3,4,2,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,2,4,3,5,1,6] => [6,1,5,3,4,2,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,2,4,3,5,6,1] => [1,6,5,3,4,2,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 2

[7,2,4,3,6,5,1] => [1,5,6,3,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 4

[7,2,4,5,3,1,6] => [6,1,3,5,4,2,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,2,4,5,3,6,1] => [1,6,3,5,4,2,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,2,4,5,6,3,1] => [1,3,6,5,4,2,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,2,5,1,3,4,6] => [6,4,3,1,5,2,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,2,5,1,6,3,4] => [4,3,6,1,5,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,5,3,4,6,1] => [1,6,4,3,5,2,7] => ([(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] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4

[7,2,5,6,1,3,4] => [4,3,1,6,5,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,2,5,6,3,4,1] => [1,4,3,6,5,2,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,2,5,6,4,1,3] => [3,1,4,6,5,2,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 1

[7,2,6,1,3,4,5] => [5,4,3,1,6,2,7] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[7,2,6,1,5,3,4] => [4,3,5,1,6,2,7] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 2

[7,2,6,3,1,4,5] => [5,4,1,3,6,2,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[7,2,6,3,4,1,5] => [5,1,4,3,6,2,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,2,6,3,4,5,1] => [1,5,4,3,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,2,6,4,3,1,5] => [5,1,3,4,6,2,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 2

[7,2,6,4,5,3,1] => [1,3,5,4,6,2,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 1

[7,2,6,5,1,3,4] => [4,3,1,5,6,2,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 2

[7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,3,1,2,4,6,5] => [5,6,4,2,1,3,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,3,1,2,5,4,6] => [6,4,5,2,1,3,7] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

[7,3,1,2,5,6,4] => [4,6,5,2,1,3,7] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[7,3,1,2,6,4,5] => [5,4,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1

[7,3,1,2,6,5,4] => [4,5,6,2,1,3,7] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3

[7,3,1,4,2,5,6] => [6,5,2,4,1,3,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3

[7,3,1,4,5,6,2] => [2,6,5,4,1,3,7] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 2

[7,3,1,5,2,4,6] => [6,4,2,5,1,3,7] => ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,1,5,6,2,4] => [4,2,6,5,1,3,7] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,3,1,6,2,4,5] => [5,4,2,6,1,3,7] => ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,3,1,6,4,5,2] => [2,5,4,6,1,3,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 2

[7,3,1,6,5,2,4] => [4,2,5,6,1,3,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1

[7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 3

[7,3,2,1,4,6,5] => [5,6,4,1,2,3,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,3,2,1,5,4,6] => [6,4,5,1,2,3,7] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 6

[7,3,2,1,6,4,5] => [5,4,6,1,2,3,7] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3

[7,3,2,1,6,5,4] => [4,5,6,1,2,3,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 9

[7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 2

[7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 2

[7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 2

[7,3,2,4,6,5,1] => [1,5,6,4,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 4

[7,3,2,5,4,1,6] => [6,1,4,5,2,3,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 4

[7,3,2,5,4,6,1] => [1,6,4,5,2,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 4

[7,3,2,5,6,4,1] => [1,4,6,5,2,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2

[7,3,2,6,1,4,5] => [5,4,1,6,2,3,7] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 3

[7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,3,4,1,2,6,5] => [5,6,2,1,4,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 4

[7,3,4,1,6,2,5] => [5,2,6,1,4,3,7] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1

[7,3,4,2,6,5,1] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2

[7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1

[7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1

[7,3,4,6,1,2,5] => [5,2,1,6,4,3,7] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,3,4,6,2,5,1] => [1,5,2,6,4,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 2

[7,3,5,1,2,4,6] => [6,4,2,1,5,3,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,3,5,1,2,6,4] => [4,6,2,1,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,3,5,2,4,1,6] => [6,1,4,2,5,3,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 3

[7,3,5,2,6,4,1] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 1

[7,3,5,4,1,2,6] => [6,2,1,4,5,3,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[7,3,5,6,4,1,2] => [2,1,4,6,5,3,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,3,6,1,2,4,5] => [5,4,2,1,6,3,7] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,3,6,1,2,5,4] => [4,5,2,1,6,3,7] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 2

[7,3,6,2,1,4,5] => [5,4,1,2,6,3,7] => ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 3

[7,3,6,4,1,2,5] => [5,2,1,4,6,3,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 2

[7,3,6,5,1,2,4] => [4,2,1,5,6,3,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 1

[7,3,6,5,2,4,1] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4

[7,3,6,5,4,1,2] => [2,1,4,5,6,3,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4

[7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 1

[7,4,1,2,3,6,5] => [5,6,3,2,1,4,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 2

[7,4,1,2,5,3,6] => [6,3,5,2,1,4,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,4,1,2,5,6,3] => [3,6,5,2,1,4,7] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,1,2,6,3,5] => [5,3,6,2,1,4,7] => ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,4,1,2,6,5,3] => [3,5,6,2,1,4,7] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 3

[7,4,1,3,2,5,6] => [6,5,2,3,1,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,4,1,3,2,6,5] => [5,6,2,3,1,4,7] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 4

[7,4,1,5,2,3,6] => [6,3,2,5,1,4,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,1,5,6,2,3] => [3,2,6,5,1,4,7] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,1,6,2,3,5] => [5,3,2,6,1,4,7] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,4,1,6,5,2,3] => [3,2,5,6,1,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 1

[7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2

[7,4,2,1,3,6,5] => [5,6,3,1,2,4,7] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 4

[7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 1

[7,4,2,3,6,1,5] => [5,1,6,3,2,4,7] => ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 2

[7,4,2,5,3,1,6] => [6,1,3,5,2,4,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 3

[7,4,2,5,6,3,1] => [1,3,6,5,2,4,7] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 2

[7,4,2,6,3,5,1] => [1,5,3,6,2,4,7] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1

[7,4,3,1,2,6,5] => [5,6,2,1,3,4,7] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 2

[7,4,3,1,5,2,6] => [6,2,5,1,3,4,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4

[7,4,3,1,6,2,5] => [5,2,6,1,3,4,7] => ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1

[7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 4

[7,4,3,2,1,6,5] => [5,6,1,2,3,4,7] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 8

[7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3

[7,4,3,6,1,2,5] => [5,2,1,6,3,4,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 1

[7,4,3,6,5,1,2] => [2,1,5,6,3,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 5

[7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,5,1,2,6,3] => [3,6,2,1,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3

[7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2

[7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2

[7,4,5,3,1,6,2] => [2,6,1,3,5,4,7] => ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 1

[7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1

[7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1

[7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1

[7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1

[7,4,6,1,2,3,5] => [5,3,2,1,6,4,7] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,4,6,1,2,5,3] => [3,5,2,1,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 2

[7,4,6,1,5,2,3] => [3,2,5,1,6,4,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1

[7,4,6,2,3,5,1] => [1,5,3,2,6,4,7] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,4,6,3,1,2,5] => [5,2,1,3,6,4,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 1

[7,4,6,3,5,1,2] => [2,1,5,3,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4

[7,4,6,5,1,2,3] => [3,2,1,5,6,4,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1

[7,4,6,5,3,1,2] => [2,1,3,5,6,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3

[7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,5,1,2,3,6,4] => [4,6,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2

[7,5,1,2,4,3,6] => [6,3,4,2,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,5,1,2,4,6,3] => [3,6,4,2,1,5,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1

[7,5,1,2,6,3,4] => [4,3,6,2,1,5,7] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1

[7,5,1,2,6,4,3] => [3,4,6,2,1,5,7] => ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 3

[7,5,1,3,2,4,6] => [6,4,2,3,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,5,1,3,4,6,2] => [2,6,4,3,1,5,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1

[7,5,1,4,2,3,6] => [6,3,2,4,1,5,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1

[7,5,1,4,3,2,6] => [6,2,3,4,1,5,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3

[7,5,1,4,3,6,2] => [2,6,3,4,1,5,7] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 2

[7,5,1,4,6,2,3] => [3,2,6,4,1,5,7] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 2

[7,5,1,6,2,3,4] => [4,3,2,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,5,1,6,4,2,3] => [3,2,4,6,1,5,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 1

[7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 2

[7,5,2,1,4,3,6] => [6,3,4,1,2,5,7] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4

[7,5,2,1,6,3,4] => [4,3,6,1,2,5,7] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 2

[7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => ([(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] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 2

[7,5,2,6,3,4,1] => [1,4,3,6,2,5,7] => ([(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] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1

[7,5,3,1,2,6,4] => [4,6,2,1,3,5,7] => ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 2

[7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3

[7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 2

[7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 1

[7,5,3,6,1,2,4] => [4,2,1,6,3,5,7] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1

[7,5,3,6,4,1,2] => [2,1,4,6,3,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4

[7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 1

[7,5,4,1,2,6,3] => [3,6,2,1,4,5,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 2

[7,5,4,1,3,2,6] => [6,2,3,1,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,5,4,1,6,2,3] => [3,2,6,1,4,5,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 1

[7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1

[7,5,4,2,6,3,1] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4

[7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1

[7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 5

[7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4

[7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1

[7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3

[7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,5,6,1,2,4,3] => [3,4,2,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 2

[7,5,6,1,3,2,4] => [4,2,3,1,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 2

[7,5,6,1,4,2,3] => [3,2,4,1,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1

[7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 2

[7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1

[7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1

[7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3

[7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1

[7,5,6,4,1,3,2] => [2,3,1,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3

[7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3

[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2

[7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2

[7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1

[7,6,1,2,3,5,4] => [4,5,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[7,6,1,2,4,3,5] => [5,3,4,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[7,6,1,2,4,5,3] => [3,5,4,2,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[7,6,1,2,5,3,4] => [4,3,5,2,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[7,6,1,2,5,4,3] => [3,4,5,2,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3

[7,6,1,3,2,4,5] => [5,4,2,3,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[7,6,1,3,2,5,4] => [4,5,2,3,1,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4

[7,6,1,3,4,2,5] => [5,2,4,3,1,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[7,6,1,3,4,5,2] => [2,5,4,3,1,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[7,6,1,4,2,3,5] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[7,6,1,4,3,2,5] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3

[7,6,1,4,5,2,3] => [3,2,5,4,1,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2

[7,6,1,5,2,3,4] => [4,3,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[7,6,1,5,2,4,3] => [3,4,2,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 2

[7,6,1,5,3,2,4] => [4,2,3,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 2

[7,6,1,5,4,2,3] => [3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1

[7,6,1,5,4,3,2] => [2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4

[7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 2

[7,6,2,1,3,5,4] => [4,5,3,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4

[7,6,2,1,4,3,5] => [5,3,4,1,2,6,7] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4

[7,6,2,1,5,3,4] => [4,3,5,1,2,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 2

[7,6,2,1,5,4,3] => [3,4,5,1,2,6,7] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 6

[7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 1

[7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 1

[7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1

[7,6,2,3,5,1,4] => [4,1,5,3,2,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 2

[7,6,2,3,5,4,1] => [1,4,5,3,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 2

[7,6,2,4,3,5,1] => [1,5,3,4,2,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 2

[7,6,2,5,1,3,4] => [4,3,1,5,2,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 2

[7,6,2,5,3,4,1] => [1,4,3,5,2,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1

[7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1

[7,6,3,1,2,5,4] => [4,5,2,1,3,6,7] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 2

[7,6,3,1,4,5,2] => [2,5,4,1,3,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 2

[7,6,3,1,5,2,4] => [4,2,5,1,3,6,7] => ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1

[7,6,3,1,5,4,2] => [2,4,5,1,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5

[7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3

[7,6,3,2,1,5,4] => [4,5,1,2,3,6,7] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 6

[7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 2

[7,6,3,2,5,1,4] => [4,1,5,2,3,6,7] => ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5

[7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2

[7,6,3,5,1,2,4] => [4,2,1,5,3,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1

[7,6,3,5,4,1,2] => [2,1,4,5,3,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3

[7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1

[7,6,4,1,2,5,3] => [3,5,2,1,4,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 2

[7,6,4,1,3,2,5] => [5,2,3,1,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 2

[7,6,4,1,5,2,3] => [3,2,5,1,4,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1

[7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 2

[7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1

[7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1

[7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4

[7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3

[7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1

[7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2

[7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2

[7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1

[7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1

[7,6,5,1,2,4,3] => [3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,6,5,1,3,2,4] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,6,5,1,4,2,3] => [3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1

[7,6,5,1,4,3,2] => [2,3,4,1,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 3

[7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2

[7,6,5,2,1,4,3] => [3,4,1,2,5,6,7] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 4

[7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1

[7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 3

[7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2

[7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1

[7,6,5,4,1,3,2] => [2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2

[7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2

[7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1

[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7

[7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 4

[5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 1

[7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => ([(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) => 2

[3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1

[7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 1

[5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2

[7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 2

[7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3

[3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1

[5,6,1,2,3,4,7,8] => [8,7,4,3,2,1,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => ([(4,6),(4,7),(5,6),(5,7)],8) => 2

[1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => ([],8) => 1

[4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => ([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 16

[3,4,2,1,7,8,6,5] => [5,6,8,7,1,2,4,3] => ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 1

[2,4,3,1,6,8,7,5] => [5,7,8,6,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 4

[2,4,3,1,7,6,8,5] => [5,8,6,7,1,3,4,2] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 4

[3,2,4,1,6,8,7,5] => [5,7,8,6,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 4

[3,2,4,1,7,6,8,5] => [5,8,6,7,1,4,2,3] => ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 4

[2,3,4,1,6,7,8,5] => [5,8,7,6,1,4,3,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 1

[1,2,5,4,3,8,7,6] => [6,7,8,3,4,5,2,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[1,2,4,5,3,7,8,6] => [6,8,7,3,5,4,2,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 1

[1,4,3,2,5,8,7,6] => [6,7,8,5,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[3,2,1,4,5,8,7,6] => [6,7,8,5,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[2,3,1,4,5,7,8,6] => [6,8,7,5,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 1

[2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => ([(0,7),(1,6),(2,5),(3,4)],8) => 16

[1,2,3,4,6,5,8,7] => [7,8,5,6,4,3,2,1] => ([(4,7),(5,6)],8) => 4

[1,2,3,5,4,6,8,7] => [7,8,6,4,5,3,2,1] => ([(4,7),(5,6)],8) => 4

[1,2,4,3,5,6,8,7] => [7,8,6,5,3,4,2,1] => ([(4,7),(5,6)],8) => 4

[1,3,2,4,5,6,8,7] => [7,8,6,5,4,2,3,1] => ([(4,7),(5,6)],8) => 4

[2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => 4

[1,4,3,2,7,6,5,8] => [8,5,6,7,2,3,4,1] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[1,3,4,2,6,7,5,8] => [8,5,7,6,2,4,3,1] => ([(2,6),(2,7),(3,4),(3,5)],8) => 1

[3,2,1,4,7,6,5,8] => [8,5,6,7,4,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[2,3,1,4,6,7,5,8] => [8,5,7,6,4,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 1

[1,2,3,5,4,7,6,8] => [8,6,7,4,5,3,2,1] => ([(4,7),(5,6)],8) => 4

[1,2,4,3,5,7,6,8] => [8,6,7,5,3,4,2,1] => ([(4,7),(5,6)],8) => 4

[1,3,2,4,5,7,6,8] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => 4

[2,1,3,4,5,7,6,8] => [8,6,7,5,4,3,1,2] => ([(4,7),(5,6)],8) => 4

[3,2,1,6,5,4,7,8] => [8,7,4,5,6,1,2,3] => ([(2,5),(3,4),(4,6),(5,7)],8) => 9

[2,3,1,5,6,4,7,8] => [8,7,4,6,5,1,3,2] => ([(2,6),(2,7),(3,4),(3,5)],8) => 1

[1,2,4,3,6,5,7,8] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => 4

[1,3,2,4,6,5,7,8] => [8,7,5,6,4,2,3,1] => ([(4,7),(5,6)],8) => 4

[2,1,3,4,6,5,7,8] => [8,7,5,6,4,3,1,2] => ([(4,7),(5,6)],8) => 4

[1,3,2,5,4,6,7,8] => [8,7,6,4,5,2,3,1] => ([(4,7),(5,6)],8) => 4

[2,1,3,5,4,6,7,8] => [8,7,6,4,5,3,1,2] => ([(4,7),(5,6)],8) => 4

[2,1,4,3,5,6,7,8] => [8,7,6,5,3,4,1,2] => ([(4,7),(5,6)],8) => 4

[4,2,3,1,8,6,7,5] => [5,7,6,8,1,3,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 1

[2,4,1,3,6,8,5,7] => [7,5,8,6,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 9

[2,4,1,3,7,5,8,6] => [6,8,5,7,3,1,4,2] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 9

[2,1,4,3,7,8,5,6] => [6,5,8,7,3,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 8

[2,4,5,1,6,3,7,8] => [8,7,3,6,1,5,4,2] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 1

[2,4,5,6,7,1,8,3] => [3,8,1,7,6,5,4,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 1

[2,1,5,6,3,4,8,7] => [7,8,4,3,6,5,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 8

[2,5,1,7,3,4,8,6] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 5

[2,3,5,6,1,7,8,4] => [4,8,7,1,6,5,3,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 1

[2,6,7,1,3,4,8,5] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 5

[3,4,1,2,6,5,8,7] => [7,8,5,6,2,1,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 8

[3,1,4,2,6,8,5,7] => [7,5,8,6,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 9

[3,1,4,2,7,5,8,6] => [6,8,5,7,2,4,1,3] => ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 9

[3,4,1,2,7,8,5,6] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 4

[3,1,5,6,2,8,4,7] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 5

[3,5,1,7,2,8,4,6] => [6,4,8,2,7,1,5,3] => ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 2

[1,3,5,6,2,7,4,8] => [8,4,7,2,6,5,3,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 1

[3,6,7,1,2,8,4,5] => [5,4,8,2,1,7,6,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 2

[3,1,2,4,5,8,6,7] => [7,6,8,5,4,2,1,3] => ([(2,7),(3,7),(4,6),(5,6)],8) => 1

[4,1,5,6,8,2,3,7] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 5

[4,5,1,7,8,2,3,6] => [6,3,2,8,7,1,5,4] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2

[1,4,5,2,3,6,7,8] => [8,7,6,3,2,5,4,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 2

[1,4,5,6,7,2,3,8] => [8,3,2,7,6,5,4,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1

[4,6,7,1,8,2,3,5] => [5,3,2,8,1,7,6,4] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2

[4,1,6,2,3,5,7,8] => [8,7,5,3,2,6,1,4] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,4,6,7,3,8,5] => [5,8,3,7,6,4,2,1] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 1

[1,4,2,3,7,5,6,8] => [8,6,5,7,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 1

[4,1,2,3,8,5,6,7] => [7,6,5,8,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 1

[1,4,2,3,5,8,6,7] => [7,6,8,5,3,2,4,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 1

[1,2,5,6,3,4,7,8] => [8,7,4,3,6,5,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 2

[1,2,5,6,7,8,3,4] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1

[1,5,2,7,3,4,6,8] => [8,6,4,3,7,2,5,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,1,2,8,3,4,6,7] => [7,6,4,3,8,2,1,5] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,5,3,4,8,6,7] => [7,6,8,4,3,5,2,1] => ([(2,7),(3,7),(4,6),(5,6)],8) => 1

[1,6,7,2,3,4,5,8] => [8,5,4,3,2,7,6,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,3,6,7,4,5,8] => [8,5,4,7,6,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 2

[6,1,8,2,3,4,5,7] => [7,5,4,3,2,8,1,6] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,6,3,8,4,5,7] => [7,5,4,8,3,6,2,1] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,7,8,3,4,5,6] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[1,2,3,4,7,8,5,6] => [6,5,8,7,4,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 2

[7,8,4,3,6,5,1,2] => [2,1,5,6,3,4,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 6

[5,3,2,8,1,7,6,4] => [4,6,7,1,8,2,3,5] => ([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 14

[6,4,8,2,7,1,5,3] => [3,5,1,7,2,8,4,6] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 10

[6,5,8,7,2,1,4,3] => [3,4,1,2,7,8,5,6] => ([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 8

[6,3,8,1,2,7,4,5] => [5,4,7,2,1,8,3,6] => ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 1

[7,8,4,1,6,2,3,5] => [5,3,2,6,1,4,8,7] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 1

[4,6,7,3,8,5,1,2] => [2,1,5,8,3,7,6,4] => ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 1

[3,5,2,7,1,8,6,4] => [4,6,8,1,7,2,5,3] => ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 1

[4,6,7,2,8,1,5,3] => [3,5,1,8,2,7,6,4] => ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 1

[5,6,7,8,2,1,4,3] => [3,4,1,2,8,7,6,5] => ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1

[6,5,8,7,3,4,1,2] => [2,1,4,3,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 6

[3,6,7,4,5,8,1,2] => [2,1,8,5,4,7,6,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 2

[2,6,7,4,5,1,8,3] => [3,8,1,5,4,7,6,2] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 2

[1,6,7,4,5,2,3,8] => [8,3,2,5,4,7,6,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3

[1,5,4,7,6,2,3,8] => [8,3,2,6,7,4,5,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 5

[2,5,4,7,6,1,8,3] => [3,8,1,6,7,4,5,2] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 4

[3,5,4,7,6,8,1,2] => [2,1,8,6,7,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[4,5,3,7,8,6,1,2] => [2,1,6,8,7,3,5,4] => ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 1

[5,4,3,8,7,6,1,2] => [2,1,6,7,8,3,4,5] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 10

[6,4,8,3,7,5,1,2] => [2,1,5,7,3,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 8

[6,3,8,4,5,7,1,2] => [2,1,7,5,4,8,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,3,4,8,6,7,1,2] => [2,1,7,6,8,4,3,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 1

[4,3,5,6,8,7,1,2] => [2,1,7,8,6,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[3,2,5,6,1,8,7,4] => [4,7,8,1,6,5,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 4

[4,2,5,6,8,1,7,3] => [3,7,1,8,6,5,2,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 4

[5,2,4,8,6,1,7,3] => [3,7,1,6,8,4,2,5] => ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 1

[6,2,8,4,5,1,7,3] => [3,7,1,5,4,8,2,6] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[7,8,2,4,5,1,6,3] => [3,6,1,5,4,2,8,7] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[7,8,1,4,5,2,3,6] => [6,3,2,5,4,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 2

[6,1,8,4,5,2,3,7] => [7,3,2,5,4,8,1,6] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 2

[5,1,4,8,6,2,3,7] => [7,3,2,6,8,4,1,5] => ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 2

[4,1,3,2,8,6,5,7] => [7,5,6,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 4

[5,1,3,8,2,6,4,7] => [7,4,6,2,8,3,1,5] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 4

[6,1,8,3,2,5,4,7] => [7,4,5,2,3,8,1,6] => ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,1,3,2,5,4,6] => [6,4,5,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,2,3,1,5,6,4] => [4,6,5,1,3,2,8,7] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[6,2,8,3,1,5,7,4] => [4,7,5,1,3,8,2,6] => ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,2,3,8,1,6,7,4] => [4,7,6,1,8,3,2,5] => ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 1

[6,3,8,2,1,7,5,4] => [4,5,7,1,2,8,3,6] => ([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 12

[7,8,3,2,1,6,5,4] => [4,5,6,1,2,3,8,7] => ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 10

[7,8,4,2,6,1,5,3] => [3,5,1,6,2,4,8,7] => ([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 8

[5,4,2,8,7,1,6,3] => [3,6,1,7,8,2,4,5] => ([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 12

[4,5,2,7,8,1,6,3] => [3,6,1,8,7,2,5,4] => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 1

[2,5,3,7,1,6,8,4] => [4,8,6,1,7,3,5,2] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 4

[1,5,3,7,2,6,4,8] => [8,4,6,2,7,3,5,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 7

[1,6,7,3,2,5,4,8] => [8,4,5,2,3,7,6,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 5

[2,6,7,3,1,5,8,4] => [4,8,5,1,3,7,6,2] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 2

[3,6,7,2,1,8,5,4] => [4,5,8,1,2,7,6,3] => ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 1

[7,8,5,6,2,1,4,3] => [3,4,1,2,6,5,8,7] => ([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 6

[6,5,8,7,1,2,3,4] => [4,3,2,1,7,8,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 1

[5,4,1,8,7,2,3,6] => [6,3,2,7,8,1,4,5] => ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 1

[6,4,8,1,7,2,3,5] => [5,3,2,7,1,8,4,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 1

[7,8,3,1,2,6,4,5] => [5,4,6,2,1,3,8,7] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 1

[5,3,1,8,2,7,4,6] => [6,4,7,2,8,1,3,5] => ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 1

[4,3,1,2,8,7,5,6] => [6,5,7,8,2,1,3,4] => ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 1

[4,2,1,3,8,5,7,6] => [6,7,5,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 4

[5,2,1,8,3,4,7,6] => [6,7,4,3,8,1,2,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 4

[6,2,8,1,3,4,7,5] => [5,7,4,3,1,8,2,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 4

[7,8,2,1,3,4,6,5] => [5,6,4,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,1,3,2,8,5,7,6] => [6,7,5,8,2,3,1,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 4

[3,4,6,5,8,7,1,2] => [2,1,7,8,5,6,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[7,8,2,1,4,3,5,6] => [6,5,3,4,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[4,2,6,1,5,3,7,8] => [8,7,3,5,1,6,2,4] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 7

[3,4,7,8,5,6,1,2] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 2

[7,8,1,2,5,6,3,4] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 2

[4,2,1,3,8,6,5,7] => [7,5,6,8,3,1,2,4] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 4

[1,2,7,8,5,6,3,4] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 3

[1,2,6,4,8,3,7,5] => [5,7,3,8,4,6,2,1] => ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 7

[7,8,1,3,2,4,6,5] => [5,6,4,2,3,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[7,8,2,1,3,5,4,6] => [6,4,5,3,1,2,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[3,5,4,6,8,7,1,2] => [2,1,7,8,6,4,5,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[4,3,5,7,6,8,1,2] => [2,1,8,6,7,5,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[4,3,6,5,7,8,1,2] => [2,1,8,7,5,6,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 4

[7,8,1,2,4,3,6,5] => [5,6,3,4,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 4

[1,2,6,5,8,7,3,4] => [4,3,7,8,5,6,2,1] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 5

[1,2,7,8,4,3,6,5] => [5,6,3,4,8,7,2,1] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 5

[9,7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7,9] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 1

[5,6,2,1,4,3,7,8] => [8,7,3,4,1,2,6,5] => ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 5

[4,3,6,5,1,2,7,8] => [8,7,2,1,5,6,3,4] => ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 5

[9,1,8,2,7,3,6,4,5] => [5,4,6,3,7,2,8,1,9] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 1

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Description

The number of maximal antichains of maximal size in a poset.

Map

permutation poset

Description

Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$

Map

reverse

Description

Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.