- FindStat

Identifier

Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000771: Graphs ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 2667 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[2,5,3,1,6,7,4] => [1,2,5,6,7,4,3] => [5,6,1,2,7,4,3] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,3,1,7,4,6] => [1,2,5,7,6,4,3] => [7,5,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,5,3,1,7,6,4] => [1,2,5,7,4,3,6] => [5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,3,6,4,7,1] => [1,2,5,4,6,7,3] => [5,4,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[2,5,3,6,7,1,4] => [1,2,5,7,4,6,3] => [5,4,1,2,7,6,3] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,5,3,7,1,4,6] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,3,7,1,6,4] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,3,7,4,1,6] => [1,2,5,4,7,6,3] => [7,5,4,1,2,6,3] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,5,3,7,6,4,1] => [1,2,5,6,4,7,3] => [5,6,1,2,4,7,3] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[2,5,4,7,1,3,6] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,4,7,1,6,3] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,4,7,3,1,6] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,4,7,3,6,1] => [1,2,5,3,4,7,6] => [7,1,5,2,3,4,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,6,1,3,7,4] => [1,2,5,3,6,7,4] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,1,7,3,4] => [1,2,5,7,4,3,6] => [5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,6,1,7,4,3] => [1,2,5,7,3,6,4] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,3,1,7,4] => [1,2,5,3,6,7,4] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,3,7,1,4] => [1,2,5,7,4,3,6] => [5,1,7,2,4,3,6] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,6,3,7,4,1] => [1,2,5,7,3,6,4] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,4,1,7,3] => [1,2,5,3,6,7,4] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => [5,6,1,2,3,7,4] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,4,7,1,3] => [1,2,5,7,3,6,4] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => 2

[2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => [5,7,1,2,3,6,4] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,1,3,4,6] => [1,2,5,3,7,6,4] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,5,7,1,3,6,4] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,1,4,3,6] => [1,2,5,4,3,7,6] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,7,1,4,6,3] => [1,2,5,4,3,7,6] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,7,1,6,3,4] => [1,2,5,6,3,7,4] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,7,3,1,4,6] => [1,2,5,3,7,6,4] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,5,7,3,1,6,4] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,3,4,1,6] => [1,2,5,4,3,7,6] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,7,3,4,6,1] => [1,2,5,4,3,7,6] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,5,7,3,6,1,4] => [1,2,5,6,3,7,4] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,7,4,1,3,6] => [1,2,5,3,7,6,4] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,5,7,4,1,6,3] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,4,3,1,6] => [1,2,5,3,7,6,4] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,5,7,4,3,6,1] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,4,6,1,3] => [1,2,5,6,3,7,4] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,7,4,6,3,1] => [1,2,5,6,3,7,4] => [5,6,1,2,7,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,5,7,6,1,3,4] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,6,1,4,3] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,6,3,1,4] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,5,7,6,3,4,1] => [1,2,5,3,7,4,6] => [5,1,7,2,3,4,6] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => [6,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,6,1,3,7,5,4] => [1,2,6,5,7,4,3] => [6,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[2,6,1,5,3,7,4] => [1,2,6,7,4,5,3] => [6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,1,5,7,4,3] => [1,2,6,4,5,7,3] => [6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,1,7,3,4,5] => [1,2,6,4,7,5,3] => [6,7,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[2,6,1,7,4,3,5] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,1,7,4,5,3] => [1,2,6,5,4,7,3] => [6,5,4,1,2,7,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[2,6,1,7,5,3,4] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,1,7,5,4,3] => [1,2,6,4,7,3,5] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[2,6,3,1,4,7,5] => [1,2,6,7,5,4,3] => [6,7,5,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,6,3,1,7,5,4] => [1,2,6,5,7,4,3] => [6,5,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[2,6,3,5,1,7,4] => [1,2,6,7,4,5,3] => [6,1,4,2,7,5,3] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,3,5,7,4,1] => [1,2,6,4,5,7,3] => [6,1,4,2,5,7,3] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,3,7,1,4,5] => [1,2,6,4,7,5,3] => [6,7,4,1,2,5,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[2,6,3,7,4,1,5] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,3,7,4,5,1] => [1,2,6,5,4,7,3] => [6,5,4,1,2,7,3] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,3,7,5,4,1] => [1,2,6,4,7,3,5] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,4,7,3,1,5] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,4,7,5,1,3] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => [6,1,7,2,3,4,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3

[2,6,5,1,4,7,3] => [1,2,6,7,3,5,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,5,1,7,3,4] => [1,2,6,3,5,7,4] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,5,3,4,7,1] => [1,2,6,7,3,5,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,5,3,7,1,4] => [1,2,6,3,5,7,4] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,5,4,1,7,3] => [1,2,6,7,3,5,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => [6,1,7,2,3,5,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,5,4,7,1,3] => [1,2,6,3,5,7,4] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => [6,1,5,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,6,5,7,1,4,3] => [1,2,6,4,7,3,5] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[2,6,5,7,3,4,1] => [1,2,6,4,7,3,5] => [4,6,1,2,3,7,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2

[2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,7,1,3,5,4] => [1,2,6,5,3,7,4] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,6,7,1,4,3,5] => [1,2,6,3,7,5,4] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,6,7,1,5,4,3] => [1,2,6,4,3,7,5] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,7,3,1,4,5] => [1,2,6,4,3,7,5] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,7,3,1,5,4] => [1,2,6,5,3,7,4] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,6,7,3,4,1,5] => [1,2,6,3,7,5,4] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,6,7,3,5,4,1] => [1,2,6,4,3,7,5] => [6,7,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[2,6,7,4,1,3,5] => [1,2,6,3,7,5,4] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,6,7,4,1,5,3] => [1,2,6,5,3,7,4] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,6,7,4,3,1,5] => [1,2,6,3,7,5,4] => [6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[2,6,7,4,3,5,1] => [1,2,6,5,3,7,4] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[2,7,1,3,4,6,5] => [1,2,7,5,4,3,6] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[2,7,1,3,5,4,6] => [1,2,7,6,4,3,5] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,1,3,5,6,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,1,3,6,4,5] => [1,2,7,5,6,4,3] => [7,5,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[2,7,1,3,6,5,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,1,5,3,4,6] => [1,2,7,6,4,5,3] => [7,1,6,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,7,1,5,6,3,4] => [1,2,7,4,5,6,3] => [7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,1,6,3,5,4] => [1,2,7,4,6,5,3] => [7,6,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,1,6,4,3,5] => [1,2,7,5,4,6,3] => [5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[2,7,1,6,4,5,3] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,1,6,5,4,3] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,3,1,4,5,6] => [1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4

[2,7,3,1,4,6,5] => [1,2,7,5,4,3,6] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[2,7,3,1,5,4,6] => [1,2,7,6,4,3,5] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,3,1,5,6,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,3,1,6,4,5] => [1,2,7,5,6,4,3] => [7,5,1,6,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[2,7,3,1,6,5,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,3,5,1,4,6] => [1,2,7,6,4,5,3] => [7,1,6,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[2,7,3,5,6,1,4] => [1,2,7,4,5,6,3] => [7,1,2,4,5,6,3] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,3,6,1,5,4] => [1,2,7,4,6,5,3] => [7,6,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,3,6,4,1,5] => [1,2,7,5,4,6,3] => [5,7,4,1,2,6,3] => ([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[2,7,3,6,4,5,1] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,3,6,5,4,1] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,4,6,1,5,3] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,4,6,3,5,1] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,4,6,5,1,3] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [7,1,2,6,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,1,3,4,6] => [1,2,7,6,4,3,5] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,1,3,6,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,5,1,4,3,6] => [1,2,7,6,3,5,4] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,5,1,6,4,3] => [1,2,7,3,5,6,4] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,3,1,4,6] => [1,2,7,6,4,3,5] => [4,7,6,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,3,1,6,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,5,3,4,1,6] => [1,2,7,6,3,5,4] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,3,6,1,4] => [1,2,7,4,3,5,6] => [4,1,7,2,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[2,7,5,3,6,4,1] => [1,2,7,3,5,6,4] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,4,1,3,6] => [1,2,7,6,3,5,4] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,4,3,1,6] => [1,2,7,6,3,5,4] => [7,1,6,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,4,6,1,3] => [1,2,7,3,5,6,4] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,5,4,6,3,1] => [1,2,7,3,5,6,4] => [7,1,2,5,3,6,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,6,1,3,4,5] => [1,2,7,5,3,6,4] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,7,6,1,3,5,4] => [1,2,7,4,3,6,5] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,7,6,1,4,3,5] => [1,2,7,5,4,3,6] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[2,7,6,1,4,5,3] => [1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,6,1,5,3,4] => [1,2,7,4,3,6,5] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,7,6,3,1,4,5] => [1,2,7,5,3,6,4] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,7,6,3,1,5,4] => [1,2,7,4,3,6,5] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,7,6,3,4,1,5] => [1,2,7,5,4,3,6] => [5,7,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[2,7,6,3,4,5,1] => [1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,6,3,5,1,4] => [1,2,7,4,3,6,5] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[2,7,6,4,1,3,5] => [1,2,7,5,3,6,4] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,7,6,4,1,5,3] => [1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[2,7,6,4,3,1,5] => [1,2,7,5,3,6,4] => [5,7,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 3

[2,7,6,4,3,5,1] => [1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,2,4,7,6,5] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,2,5,7,4,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,2,5,7,6,4] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,2,6,4,7,5] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,1,2,6,5,7,4] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,2,7,4,6,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,2,7,5,4,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,2,7,5,6,4] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,2,7,6,4,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,2,7,6,5,4] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,4,2,7,5,6] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,4,2,7,6,5] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 3

[3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => [7,3,1,4,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => [6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,4,6,7,5,2] => [1,3,4,6,5,7,2] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => [7,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,4,7,2,6,5] => [1,3,4,7,5,2,6] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,4,7,5,2,6] => [1,3,4,7,6,2,5] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => [7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => [5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => [7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,2,7,6,4] => [1,3,5,7,4,2,6] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,4,7,2,6] => [1,3,5,7,6,2,4] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,6,4,7,2] => [1,3,5,4,6,7,2] => [5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,6,7,2,4] => [1,3,5,7,4,6,2] => [5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,7,2,4,6] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,5,7,2,6,4] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,5,7,4,2,6] => [1,3,5,4,7,6,2] => [7,5,3,1,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,5,7,6,4,2] => [1,3,5,6,4,7,2] => [5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => [6,7,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,1,6,2,5,7,4] => [1,3,6,7,4,2,5] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,2,7,5,4] => [1,3,6,5,7,4,2] => [6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,6,4,2,7,5] => [1,3,6,7,5,2,4] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,4,7,5,2] => [1,3,6,5,7,2,4] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => [6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,5,7,4,2] => [1,3,6,4,5,7,2] => [6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,6,7,2,4,5] => [1,3,6,4,7,5,2] => [6,7,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,1,6,7,4,2,5] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,7,4,5,2] => [1,3,6,5,4,7,2] => [6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,7,5,2,4] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,6,7,5,4,2] => [1,3,6,4,7,2,5] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => [7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,1,7,2,4,6,5] => [1,3,7,5,4,2,6] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,1,7,2,5,4,6] => [1,3,7,6,4,2,5] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,7,2,5,6,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => [7,5,1,3,6,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,7,2,6,5,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,1,7,4,2,5,6] => [1,3,7,6,5,2,4] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,7,4,2,6,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,1,7,4,5,2,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => [7,1,6,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,7,5,4,2,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => [3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,1,7,6,2,5,4] => [1,3,7,4,6,5,2] => [7,6,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,7,6,4,2,5] => [1,3,7,5,4,6,2] => [5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,1,7,6,4,5,2] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,1,7,6,5,4,2] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,1,4,7,5,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,1,5,7,4,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,1,6,4,7,5] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,1,7,4,5,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,1,7,4,6,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,2,1,7,5,4,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,1,7,5,6,4] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,2,1,7,6,4,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,2,4,1,7,5,6] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 3

[3,2,4,5,7,1,6] => [1,3,4,5,7,6,2] => [7,3,1,4,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,4,6,1,7,5] => [1,3,4,6,7,5,2] => [6,3,1,4,7,5,2] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => [6,3,1,4,5,7,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,4,7,1,5,6] => [1,3,4,7,6,5,2] => [7,6,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,4,7,1,6,5] => [1,3,4,7,5,2,6] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,4,7,5,1,6] => [1,3,4,7,6,2,5] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,4,7,6,1,5] => [1,3,4,7,5,6,2] => [7,1,3,4,5,6,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,5,1,6,7,4] => [1,3,5,6,7,4,2] => [5,3,1,6,7,4,2] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,1,7,4,6] => [1,3,5,7,6,4,2] => [7,5,3,1,6,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,1,7,6,4] => [1,3,5,7,4,2,6] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,4,7,1,6] => [1,3,5,7,6,2,4] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => [5,3,1,4,6,7,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,6,7,1,4] => [1,3,5,7,4,6,2] => [5,3,1,4,7,6,2] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,7,1,4,6] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,5,7,1,6,4] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,5,7,4,1,6] => [1,3,5,4,7,6,2] => [7,5,3,1,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => [5,3,1,6,4,7,2] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,1,4,7,5] => [1,3,6,7,5,4,2] => [6,7,3,1,5,4,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,2,6,1,5,7,4] => [1,3,6,7,4,2,5] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,1,7,5,4] => [1,3,6,5,7,4,2] => [6,5,3,1,7,4,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,6,4,1,7,5] => [1,3,6,7,5,2,4] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,4,7,5,1] => [1,3,6,5,7,2,4] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,5,1,7,4] => [1,3,6,7,4,5,2] => [6,1,3,4,7,5,2] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => [6,1,3,4,5,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,6,7,1,4,5] => [1,3,6,4,7,5,2] => [6,7,3,1,4,5,2] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,6,7,4,1,5] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,7,4,5,1] => [1,3,6,5,4,7,2] => [6,5,3,1,4,7,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,7,5,1,4] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => [7,6,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,2,7,1,4,6,5] => [1,3,7,5,4,2,6] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,2,7,1,5,4,6] => [1,3,7,6,4,2,5] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,7,1,5,6,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,7,1,6,4,5] => [1,3,7,5,6,4,2] => [7,5,1,3,6,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,7,1,6,5,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,2,7,4,1,5,6] => [1,3,7,6,5,2,4] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,7,4,1,6,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,2,7,4,5,1,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,2,7,5,1,4,6] => [1,3,7,6,4,5,2] => [7,1,6,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,7,5,4,1,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,2,7,5,6,1,4] => [1,3,7,4,5,6,2] => [3,1,7,4,5,6,2] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,2,7,6,1,4,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,2,7,6,1,5,4] => [1,3,7,4,6,5,2] => [7,6,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,7,6,4,1,5] => [1,3,7,5,4,6,2] => [5,7,3,1,4,6,2] => ([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,2,7,6,4,5,1] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,1,2,7,5,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,1,2,7,6,5] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,1,5,7,2,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,1,5,7,6,2] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,1,6,2,7,5] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,1,6,5,7,2] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,1,7,2,5,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,1,7,2,6,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,7,5,2,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,1,7,5,6,2] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,7,6,2,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,1,7,6,5,2] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,2,1,7,5,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,2,5,7,1,6] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,4,2,6,1,7,5] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,4,2,7,1,5,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,2,7,1,6,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,2,7,5,1,6] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,2,7,5,6,1] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,2,7,6,1,5] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,4,5,1,7,2,6] => [1,3,5,7,6,2,4] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,5,2,7,1,6] => [1,3,5,7,6,2,4] => [3,7,1,2,5,6,4] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,5,7,1,2,6] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,5,7,1,6,2] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,5,7,2,1,6] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,5,7,2,6,1] => [1,3,5,2,4,7,6] => [7,3,1,2,5,4,6] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,6,1,2,7,5] => [1,3,6,7,5,2,4] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,1,7,5,2] => [1,3,6,5,7,2,4] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,2,1,7,5] => [1,3,6,7,5,2,4] => [3,6,1,2,7,5,4] => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,2,7,5,1] => [1,3,6,5,7,2,4] => [3,6,1,2,5,7,4] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,7,1,2,5] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,7,2,1,5] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,7,5,1,2] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => [6,3,1,2,7,4,5] => ([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,4,7,1,2,5,6] => [1,3,7,6,5,2,4] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,7,1,2,6,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,1,5,2,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,2,1,5,6] => [1,3,7,6,5,2,4] => [3,7,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,7,2,1,6,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,2,5,1,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,5,1,2,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,5,2,1,6] => [1,3,7,6,2,4,5] => [3,1,7,2,4,6,5] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,6,1,2,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,6,1,5,2] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,7,6,2,1,5] => [1,3,7,5,2,4,6] => [3,1,7,2,5,4,6] => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => 1

[3,4,7,6,2,5,1] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,7,6,5,1,2] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => [7,3,1,2,4,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,1,2,6,7,4] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,1,2,7,4,6] => [1,3,2,5,7,6,4] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,1,4,6,7,2] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,1,4,7,2,6] => [1,3,2,5,7,6,4] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,1,7,2,4,6] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,1,7,2,6,4] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,1,7,4,2,6] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,1,7,4,6,2] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,1,6,7,4] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,2,1,7,4,6] => [1,3,2,5,7,6,4] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,4,6,7,1] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,2,4,7,1,6] => [1,3,2,5,7,6,4] => [7,5,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,7,1,4,6] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,7,1,6,4] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,7,4,1,6] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,2,7,4,6,1] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,4,1,7,2,6] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,4,1,7,6,2] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,4,2,7,1,6] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,4,7,1,2,6] => [1,3,4,7,6,2,5] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,4,7,2,1,6] => [1,3,4,7,6,2,5] => [3,7,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,1,2,7,4] => [1,3,6,7,4,2,5] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,1,4,7,2] => [1,3,6,7,2,5,4] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,1,7,2,4] => [1,3,6,2,5,7,4] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,2,1,7,4] => [1,3,6,7,4,2,5] => [3,6,1,4,7,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,2,4,7,1] => [1,3,6,7,2,5,4] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,2,7,1,4] => [1,3,6,2,5,7,4] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,4,1,7,2] => [1,3,6,7,2,5,4] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => [6,3,1,2,7,5,4] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,6,4,7,1,2] => [1,3,6,2,5,7,4] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => [6,3,1,2,5,7,4] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,7,1,4,2] => [1,3,6,4,7,2,5] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,6,7,2,4,1] => [1,3,6,4,7,2,5] => [3,6,1,4,2,7,5] => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[3,5,7,1,2,4,6] => [1,3,7,6,4,2,5] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,1,2,6,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,1,4,2,6] => [1,3,7,6,2,5,4] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,7,1,4,6,2] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,1,6,2,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,1,6,4,2] => [1,3,7,2,5,6,4] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,2,1,4,6] => [1,3,7,6,4,2,5] => [3,7,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,2,1,6,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,2,4,1,6] => [1,3,7,6,2,5,4] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,7,2,4,6,1] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,2,6,1,4] => [1,3,7,4,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,5,7,2,6,4,1] => [1,3,7,2,5,6,4] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,4,1,2,6] => [1,3,7,6,2,5,4] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,7,4,1,6,2] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,4,2,1,6] => [1,3,7,6,2,5,4] => [7,3,6,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,5,7,4,2,6,1] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,4,6,1,2] => [1,3,7,2,5,6,4] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,4,6,2,1] => [1,3,7,2,5,6,4] => [5,3,1,2,7,6,4] => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,6,1,4,2] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,6,2,4,1] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,6,4,1,2] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => [3,7,1,2,5,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,1,2,4,7,5] => [1,3,2,6,7,5,4] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,2,5,7,4] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,1,2,7,5,4] => [1,3,2,6,5,7,4] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,1,4,2,7,5] => [1,3,2,6,7,5,4] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,4,5,7,2] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,1,4,7,5,2] => [1,3,2,6,5,7,4] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,1,5,2,7,4] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,1,5,4,7,2] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,1,7,2,4,5] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,7,4,2,5] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,7,5,2,4] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,1,7,5,4,2] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,1,4,7,5] => [1,3,2,6,7,5,4] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,1,5,7,4] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,1,7,5,4] => [1,3,2,6,5,7,4] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,2,4,1,7,5] => [1,3,2,6,7,5,4] => [6,7,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,4,5,7,1] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,4,7,5,1] => [1,3,2,6,5,7,4] => [6,5,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,2,5,1,7,4] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,5,4,7,1] => [1,3,2,6,7,4,5] => [3,6,1,2,4,7,5] => ([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,2,7,1,4,5] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,7,4,1,5] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,7,5,1,4] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,2,7,5,4,1] => [1,3,2,6,4,7,5] => [6,7,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[3,6,4,1,2,7,5] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,1,5,7,2] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,2,1,7,5] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,2,5,7,1] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,7,1,2,5] => [1,3,4,7,5,2,6] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,7,1,5,2] => [1,3,4,7,2,6,5] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,4,7,2,1,5] => [1,3,4,7,5,2,6] => [3,7,1,4,5,2,6] => ([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,4,7,2,5,1] => [1,3,4,7,2,6,5] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,4,7,5,1,2] => [1,3,4,7,2,6,5] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,4,7,5,2,1] => [1,3,4,7,2,6,5] => [7,3,1,4,2,6,5] => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,5,1,2,7,4] => [1,3,5,2,6,7,4] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,1,7,2,4] => [1,3,5,7,4,2,6] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,5,1,7,4,2] => [1,3,5,7,2,6,4] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => 1

[3,6,5,2,1,7,4] => [1,3,5,2,6,7,4] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,2,7,1,4] => [1,3,5,7,4,2,6] => [5,3,1,4,7,2,6] => ([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,5,2,7,4,1] => [1,3,5,7,2,6,4] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => 1

[3,6,5,4,1,7,2] => [1,3,5,2,6,7,4] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => [5,3,1,6,2,7,4] => ([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => 1

[3,6,5,4,7,1,2] => [1,3,5,7,2,6,4] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => 1

[3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => [5,3,1,7,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => 1

[3,6,7,1,2,4,5] => [1,3,7,5,2,6,4] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,1,2,5,4] => [1,3,7,4,2,6,5] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,7,1,4,2,5] => [1,3,7,5,4,2,6] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,6,7,1,4,5,2] => [1,3,7,2,6,5,4] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,1,5,2,4] => [1,3,7,4,2,6,5] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,7,1,5,4,2] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,2,1,4,5] => [1,3,7,5,2,6,4] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,2,1,5,4] => [1,3,7,4,2,6,5] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,7,2,4,1,5] => [1,3,7,5,4,2,6] => [5,7,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,6,7,2,4,5,1] => [1,3,7,2,6,5,4] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,2,5,1,4] => [1,3,7,4,2,6,5] => [7,3,6,1,4,2,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,6,7,2,5,4,1] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,4,1,2,5] => [1,3,7,5,2,6,4] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,4,1,5,2] => [1,3,7,2,6,5,4] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,4,2,1,5] => [1,3,7,5,2,6,4] => [7,3,5,1,6,2,4] => ([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,4,2,5,1] => [1,3,7,2,6,5,4] => [7,6,3,1,2,5,4] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,6,7,4,5,1,2] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,4,5,2,1] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,5,1,4,2] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,5,2,4,1] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,5,4,1,2] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => [3,7,1,2,4,6,5] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,1,2,4,5,6] => [1,3,2,7,6,5,4] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,7,1,2,4,6,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,1,2,5,4,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,2,5,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,2,6,4,5] => [1,3,2,7,5,6,4] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,1,2,6,5,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,4,2,5,6] => [1,3,2,7,6,5,4] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,7,1,4,2,6,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,1,4,5,2,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,4,5,6,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,4,6,2,5] => [1,3,2,7,5,6,4] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,1,4,6,5,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,5,2,4,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,5,2,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,5,4,2,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,5,4,6,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,5,6,2,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,5,6,4,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,1,6,2,4,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,1,6,2,5,4] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,6,4,2,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,1,6,4,5,2] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,6,5,2,4] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,1,6,5,4,2] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,1,4,5,6] => [1,3,2,7,6,5,4] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,7,2,1,4,6,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,2,1,5,4,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,1,5,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,1,6,4,5] => [1,3,2,7,5,6,4] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,2,1,6,5,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,4,1,5,6] => [1,3,2,7,6,5,4] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[3,7,2,4,1,6,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,2,4,5,1,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,4,5,6,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,4,6,1,5] => [1,3,2,7,5,6,4] => [7,3,5,1,2,6,4] => ([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,2,4,6,5,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,5,1,4,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,5,1,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,5,4,1,6] => [1,3,2,7,6,4,5] => [3,7,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,5,4,6,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,5,6,1,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,5,6,4,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2

[3,7,2,6,1,4,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,2,6,1,5,4] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,6,4,1,5] => [1,3,2,7,5,4,6] => [5,7,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,2,6,4,5,1] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,6,5,1,4] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,2,6,5,4,1] => [1,3,2,7,4,6,5] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,1,2,5,6] => [1,3,4,2,7,6,5] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,4,1,2,6,5] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,1,5,2,6] => [1,3,4,2,7,6,5] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,4,1,5,6,2] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,1,6,2,5] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,1,6,5,2] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,2,1,5,6] => [1,3,4,2,7,6,5] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,4,2,1,6,5] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,2,5,1,6] => [1,3,4,2,7,6,5] => [7,6,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[3,7,4,2,5,6,1] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,2,6,1,5] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,2,6,5,1] => [1,3,4,2,7,5,6] => [3,7,1,4,2,5,6] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,5,1,2,6] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,5,1,6,2] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,5,2,1,6] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,5,2,6,1] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,6,1,2,5] => [1,3,4,6,2,7,5] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,6,2,1,5] => [1,3,4,6,2,7,5] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,6,5,1,2] => [1,3,4,6,2,7,5] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,4,6,5,2,1] => [1,3,4,6,2,7,5] => [6,3,1,4,7,2,5] => ([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,1,2,4,6] => [1,3,5,2,7,6,4] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,1,2,6,4] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,1,4,2,6] => [1,3,5,4,2,7,6] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,1,4,6,2] => [1,3,5,4,2,7,6] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,1,6,2,4] => [1,3,5,6,2,7,4] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,2,1,4,6] => [1,3,5,2,7,6,4] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,2,1,6,4] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,2,4,1,6] => [1,3,5,4,2,7,6] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,2,4,6,1] => [1,3,5,4,2,7,6] => [7,5,3,1,4,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,2,6,1,4] => [1,3,5,6,2,7,4] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,4,1,2,6] => [1,3,5,2,7,6,4] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,4,1,6,2] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,4,2,1,6] => [1,3,5,2,7,6,4] => [7,5,3,1,6,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,4,2,6,1] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,4,6,1,2] => [1,3,5,6,2,7,4] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,4,6,2,1] => [1,3,5,6,2,7,4] => [5,3,1,6,7,2,4] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,5,6,1,2,4] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,6,1,4,2] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,6,2,1,4] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,5,6,2,4,1] => [1,3,5,2,7,4,6] => [5,3,1,2,7,4,6] => ([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => 1

[3,7,6,1,2,4,5] => [1,3,6,4,2,7,5] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,1,2,5,4] => [1,3,6,5,2,7,4] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,6,1,4,2,5] => [1,3,6,2,7,5,4] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,1,5,2,4] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,1,5,4,2] => [1,3,6,4,2,7,5] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,2,1,4,5] => [1,3,6,4,2,7,5] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,2,1,5,4] => [1,3,6,5,2,7,4] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,6,2,4,1,5] => [1,3,6,2,7,5,4] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,2,5,1,4] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,2,5,4,1] => [1,3,6,4,2,7,5] => [6,7,3,1,4,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,4,1,2,5] => [1,3,6,2,7,5,4] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,4,1,5,2] => [1,3,6,5,2,7,4] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,6,4,2,1,5] => [1,3,6,2,7,5,4] => [6,7,3,1,5,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[3,7,6,4,2,5,1] => [1,3,6,5,2,7,4] => [6,5,3,1,7,2,4] => ([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[3,7,6,4,5,1,2] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,4,5,2,1] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,5,1,2,4] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,5,2,1,4] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,5,4,1,2] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => [3,6,1,2,7,4,5] => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => 2

[4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,2,3,7,6,5] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,2,5,6,7,3] => [1,4,5,6,7,3,2] => [4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,2,5,7,3,6] => [1,4,5,7,6,3,2] => [7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,2,5,7,6,3] => [1,4,5,7,3,2,6] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => [6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 2

[4,1,2,6,5,7,3] => [1,4,6,7,3,2,5] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,2,6,7,5,3] => [1,4,6,5,7,3,2] => [6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => [7,6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,1,2,7,3,6,5] => [1,4,7,5,3,2,6] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,2,7,5,3,6] => [1,4,7,6,3,2,5] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,2,7,5,6,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,2,7,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,2,7,6,5,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,3,2,7,5,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,1,3,2,7,6,5] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,1,5,2,7,3,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,1,5,2,7,6,3] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,1,5,3,6,7,2] => [1,4,3,5,6,7,2] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 2

[4,1,5,3,7,2,6] => [1,4,3,5,7,6,2] => [7,4,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,5,6,2,7,3] => [1,4,6,7,3,5,2] => [4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,5,6,7,3,2] => [1,4,6,3,5,7,2] => [4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,1,5,7,2,3,6] => [1,4,7,6,3,5,2] => [4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,1,5,7,2,6,3] => [1,4,7,3,5,2,6] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,1,5,7,6,2,3] => [1,4,7,3,5,6,2] => [4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,1,6,2,3,7,5] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,6,2,5,7,3] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,6,3,2,7,5] => [1,4,3,6,7,5,2] => [6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,6,3,7,5,2] => [1,4,3,6,5,7,2] => [6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,6,5,3,7,2] => [1,4,5,3,6,7,2] => [4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,1,6,5,7,2,3] => [1,4,5,7,3,6,2] => [4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,6,7,2,5,3] => [1,4,7,3,6,5,2] => [7,4,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,6,7,3,2,5] => [1,4,7,5,3,6,2] => [4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,6,7,3,5,2] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,6,7,5,3,2] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,2,3,5,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,2,5,3,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,3,2,5,6] => [1,4,3,7,6,5,2] => [7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,3,2,6,5] => [1,4,3,7,5,2,6] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,3,5,2,6] => [1,4,3,7,6,2,5] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,3,6,2,5] => [1,4,3,7,5,6,2] => [4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,5,2,3,6] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,5,2,6,3] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,1,7,5,3,2,6] => [1,4,5,3,7,6,2] => [7,4,5,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,5,6,3,2] => [1,4,5,6,3,7,2] => [4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,6,2,3,5] => [1,4,6,3,7,5,2] => [6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,1,7,6,3,2,5] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,6,3,5,2] => [1,4,6,5,3,7,2] => [6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,6,5,2,3] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,1,7,6,5,3,2] => [1,4,6,3,7,2,5] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,2,1,3,7,5,6] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,1,3,7,6,5] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,1,5,6,7,3] => [1,4,5,6,7,3,2] => [4,5,1,6,7,3,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,1,5,7,3,6] => [1,4,5,7,6,3,2] => [7,4,5,1,6,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,1,5,7,6,3] => [1,4,5,7,3,2,6] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,1,6,3,7,5] => [1,4,6,7,5,3,2] => [6,4,7,1,5,3,2] => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 2

[4,2,1,6,5,7,3] => [1,4,6,7,3,2,5] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,1,6,7,5,3] => [1,4,6,5,7,3,2] => [6,4,5,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => [7,6,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,2,1,7,3,6,5] => [1,4,7,5,3,2,6] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,1,7,5,3,6] => [1,4,7,6,3,2,5] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,1,7,5,6,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,1,7,6,3,5] => [1,4,7,5,6,3,2] => [7,4,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,1,7,6,5,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,3,1,7,5,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,2,3,1,7,6,5] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,2,5,1,7,3,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,2,5,1,7,6,3] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,2,5,3,6,7,1] => [1,4,3,5,6,7,2] => [4,3,1,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 2

[4,2,5,3,7,1,6] => [1,4,3,5,7,6,2] => [7,4,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,5,6,1,7,3] => [1,4,6,7,3,5,2] => [4,3,1,6,7,5,2] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,5,6,7,3,1] => [1,4,6,3,5,7,2] => [4,3,1,6,5,7,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,2,5,7,1,3,6] => [1,4,7,6,3,5,2] => [4,7,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,2,5,7,1,6,3] => [1,4,7,3,5,2,6] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,2,5,7,6,1,3] => [1,4,7,3,5,6,2] => [4,3,1,5,7,6,2] => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,2,6,1,3,7,5] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,6,1,5,7,3] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,6,3,1,7,5] => [1,4,3,6,7,5,2] => [6,4,3,1,7,5,2] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,6,3,7,5,1] => [1,4,3,6,5,7,2] => [6,4,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,6,5,3,7,1] => [1,4,5,3,6,7,2] => [4,5,1,3,6,7,2] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,2,6,5,7,1,3] => [1,4,5,7,3,6,2] => [4,5,1,3,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,6,7,1,5,3] => [1,4,7,3,6,5,2] => [7,4,3,1,6,5,2] => ([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,6,7,3,1,5] => [1,4,7,5,3,6,2] => [4,7,5,1,3,6,2] => ([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,6,7,3,5,1] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,6,7,5,3,1] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,1,3,5,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,1,5,3,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,3,1,5,6] => [1,4,3,7,6,5,2] => [7,6,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,3,1,6,5] => [1,4,3,7,5,2,6] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,3,5,1,6] => [1,4,3,7,6,2,5] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,3,6,1,5] => [1,4,3,7,5,6,2] => [4,7,3,1,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,5,1,3,6] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,5,1,6,3] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,2,7,5,3,1,6] => [1,4,5,3,7,6,2] => [7,4,5,1,3,6,2] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,5,6,3,1] => [1,4,5,6,3,7,2] => [4,5,1,6,3,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,6,1,3,5] => [1,4,6,3,7,5,2] => [6,4,7,1,3,5,2] => ([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,2,7,6,3,1,5] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,6,3,5,1] => [1,4,6,5,3,7,2] => [6,4,5,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,6,5,1,3] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,2,7,6,5,3,1] => [1,4,6,3,7,2,5] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,3,1,2,7,5,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,1,2,7,6,5] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,2,1,7,5,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,5,1,7,2,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,5,1,7,6,2] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,5,2,7,1,6] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => [7,1,4,2,3,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,3,6,1,2,7,5] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,1,5,7,2] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,2,1,7,5] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,2,5,7,1] => [1,4,2,3,6,7,5] => [6,1,4,2,3,7,5] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,3,6,7,1,5,2] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,6,7,2,5,1] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,6,7,5,1,2] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,6,7,5,2,1] => [1,4,7,2,3,6,5] => [7,1,4,2,3,6,5] => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,1,2,5,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,1,5,2,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,2,1,5,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,2,5,1,6] => [1,4,2,3,7,6,5] => [7,6,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,5,1,2,6] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,5,1,6,2] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,5,2,1,6] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,5,2,6,1] => [1,4,5,2,3,7,6] => [7,1,4,2,5,3,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,3,7,6,1,2,5] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,3,7,6,2,1,5] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,3,7,6,5,1,2] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => [6,1,4,2,7,3,5] => ([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,1,2,6,7,3] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,1,2,7,3,6] => [1,4,2,5,7,6,3] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,1,3,7,2,6] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,1,3,7,6,2] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,1,6,2,7,3] => [1,4,6,7,3,2,5] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,1,6,3,7,2] => [1,4,6,7,2,5,3] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,1,6,7,2,3] => [1,4,6,2,5,7,3] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,1,7,2,3,6] => [1,4,7,6,3,2,5] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,1,7,2,6,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,1,7,3,2,6] => [1,4,7,6,2,5,3] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,1,7,3,6,2] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,1,7,6,2,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,1,7,6,3,2] => [1,4,7,2,5,6,3] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,2,1,6,7,3] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,2,1,7,3,6] => [1,4,2,5,7,6,3] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,2,3,7,1,6] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,2,3,7,6,1] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,2,6,1,7,3] => [1,4,6,7,3,2,5] => [4,1,6,3,7,2,5] => ([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,2,6,3,7,1] => [1,4,6,7,2,5,3] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,2,6,7,1,3] => [1,4,6,2,5,7,3] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,2,7,1,3,6] => [1,4,7,6,3,2,5] => [4,7,1,6,3,2,5] => ([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,2,7,1,6,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,2,7,3,1,6] => [1,4,7,6,2,5,3] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,2,7,3,6,1] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,2,7,6,1,3] => [1,4,7,3,2,5,6] => [4,1,3,7,2,5,6] => ([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,5,2,7,6,3,1] => [1,4,7,2,5,6,3] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,1,6,7,2] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,1,7,2,6] => [1,4,2,5,7,6,3] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,2,7,1,6] => [1,4,2,5,7,6,3] => [7,4,5,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,5,3,6,1,7,2] => [1,4,6,7,2,5,3] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => [4,6,1,2,7,5,3] => ([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,3,6,7,1,2] => [1,4,6,2,5,7,3] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => [4,6,1,2,5,7,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,7,1,2,6] => [1,4,7,6,2,5,3] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,3,7,1,6,2] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,3,7,2,1,6] => [1,4,7,6,2,5,3] => [4,7,6,1,2,5,3] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,3,7,2,6,1] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,3,7,6,1,2] => [1,4,7,2,5,6,3] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => [4,5,1,2,7,6,3] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,5,6,7,1,3,2] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,6,7,2,3,1] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,6,7,3,1,2] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => [4,1,7,2,5,3,6] => ([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[4,5,7,1,2,3,6] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,1,2,6,3] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,1,3,2,6] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,1,3,6,2] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,2,1,3,6] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,2,1,6,3] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,2,3,1,6] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,2,3,6,1] => [1,4,2,5,3,7,6] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,5,7,3,1,2,6] => [1,4,3,7,6,2,5] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,7,3,2,1,6] => [1,4,3,7,6,2,5] => [4,7,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,5,7,6,1,3,2] => [1,4,6,3,7,2,5] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,5,7,6,2,3,1] => [1,4,6,3,7,2,5] => [4,1,6,3,2,7,5] => ([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,1,2,3,7,5] => [1,4,2,6,7,5,3] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,1,2,5,7,3] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,1,2,7,5,3] => [1,4,2,6,5,7,3] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,1,3,2,7,5] => [1,4,3,2,6,7,5] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,1,3,5,7,2] => [1,4,3,2,6,7,5] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,1,5,2,7,3] => [1,4,5,2,6,7,3] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,1,5,7,2,3] => [1,4,5,7,3,2,6] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,1,5,7,3,2] => [1,4,5,7,2,6,3] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,1,7,2,3,5] => [1,4,7,5,2,6,3] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,1,7,2,5,3] => [1,4,7,3,2,6,5] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,1,7,3,2,5] => [1,4,7,5,3,2,6] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,1,7,3,5,2] => [1,4,7,2,6,5,3] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,1,7,5,2,3] => [1,4,7,3,2,6,5] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,1,7,5,3,2] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,2,1,3,7,5] => [1,4,2,6,7,5,3] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,2,1,5,7,3] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,2,1,7,5,3] => [1,4,2,6,5,7,3] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,2,3,1,7,5] => [1,4,3,2,6,7,5] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,2,3,5,7,1] => [1,4,3,2,6,7,5] => [6,4,3,1,2,7,5] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,2,5,1,7,3] => [1,4,5,2,6,7,3] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,2,5,7,1,3] => [1,4,5,7,3,2,6] => [4,5,1,3,7,2,6] => ([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,5,7,3,1] => [1,4,5,7,2,6,3] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,7,1,3,5] => [1,4,7,5,2,6,3] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,2,7,1,5,3] => [1,4,7,3,2,6,5] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,7,3,1,5] => [1,4,7,5,3,2,6] => [4,7,5,1,3,2,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,2,7,3,5,1] => [1,4,7,2,6,5,3] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,2,7,5,1,3] => [1,4,7,3,2,6,5] => [7,4,1,6,3,2,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,2,7,5,3,1] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,3,1,2,7,5] => [1,4,2,6,7,5,3] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,3,1,5,7,2] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,3,1,7,5,2] => [1,4,2,6,5,7,3] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,3,2,1,7,5] => [1,4,2,6,7,5,3] => [6,4,7,1,2,5,3] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,3,2,5,7,1] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,3,2,7,5,1] => [1,4,2,6,5,7,3] => [6,4,5,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,3,5,1,7,2] => [1,4,5,2,6,7,3] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,3,5,2,7,1] => [1,4,5,2,6,7,3] => [4,5,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[4,6,3,5,7,1,2] => [1,4,5,7,2,6,3] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,3,5,7,2,1] => [1,4,5,7,2,6,3] => [4,5,1,7,2,6,3] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,6,3,7,1,2,5] => [1,4,7,5,2,6,3] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,3,7,1,5,2] => [1,4,7,2,6,5,3] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,3,7,2,1,5] => [1,4,7,5,2,6,3] => [4,7,5,1,6,2,3] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,3,7,2,5,1] => [1,4,7,2,6,5,3] => [7,4,6,1,2,5,3] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,3,7,5,1,2] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,3,7,5,2,1] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,5,1,2,7,3] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,5,1,3,7,2] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,5,2,1,7,3] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,5,2,3,7,1] => [1,4,2,6,7,3,5] => [4,1,6,2,3,7,5] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => 1

[4,6,5,7,1,2,3] => [1,4,7,3,5,2,6] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,5,7,1,3,2] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,5,7,2,1,3] => [1,4,7,3,5,2,6] => [4,3,1,5,7,2,6] => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[4,6,5,7,2,3,1] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,5,7,3,1,2] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,5,7,3,2,1] => [1,4,7,2,6,3,5] => [4,1,7,2,3,6,5] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,6,7,1,2,3,5] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,1,3,2,5] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,1,5,2,3] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,1,5,3,2] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,2,1,3,5] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,2,3,1,5] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,2,5,1,3] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,2,5,3,1] => [1,4,2,6,3,7,5] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[4,6,7,3,1,2,5] => [1,4,3,7,5,2,6] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,7,3,1,5,2] => [1,4,3,7,2,6,5] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,7,3,2,1,5] => [1,4,3,7,5,2,6] => [4,7,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,6,7,3,2,5,1] => [1,4,3,7,2,6,5] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,7,3,5,1,2] => [1,4,3,7,2,6,5] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,6,7,3,5,2,1] => [1,4,3,7,2,6,5] => [7,4,3,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,1,2,3,5,6] => [1,4,2,7,6,5,3] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,7,1,2,3,6,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,1,2,5,3,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,1,2,5,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,1,2,6,3,5] => [1,4,2,7,5,6,3] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,1,2,6,5,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,1,3,2,5,6] => [1,4,3,2,7,6,5] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,1,3,2,6,5] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,1,3,5,2,6] => [1,4,3,2,7,6,5] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,1,3,5,6,2] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,1,3,6,2,5] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,1,3,6,5,2] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,1,5,2,3,6] => [1,4,5,2,7,6,3] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[4,7,1,5,2,6,3] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,1,5,3,2,6] => [1,4,5,3,2,7,6] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,1,5,3,6,2] => [1,4,5,3,2,7,6] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,1,5,6,2,3] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,1,6,2,3,5] => [1,4,6,3,2,7,5] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[4,7,1,6,2,5,3] => [1,4,6,5,2,7,3] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,1,6,3,2,5] => [1,4,6,2,7,5,3] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,1,6,5,2,3] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,1,6,5,3,2] => [1,4,6,3,2,7,5] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[4,7,2,1,3,5,6] => [1,4,2,7,6,5,3] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,7,2,1,3,6,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,2,1,5,3,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,2,1,5,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,2,1,6,3,5] => [1,4,2,7,5,6,3] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,2,1,6,5,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,2,3,1,5,6] => [1,4,3,2,7,6,5] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,2,3,1,6,5] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,2,3,5,1,6] => [1,4,3,2,7,6,5] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,2,3,5,6,1] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,2,3,6,1,5] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,2,3,6,5,1] => [1,4,3,2,7,5,6] => [4,7,3,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,2,5,1,3,6] => [1,4,5,2,7,6,3] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[4,7,2,5,1,6,3] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,5,3,1,6] => [1,4,5,3,2,7,6] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,5,3,6,1] => [1,4,5,3,2,7,6] => [7,4,5,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,2,5,6,1,3] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,2,6,1,3,5] => [1,4,6,3,2,7,5] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[4,7,2,6,1,5,3] => [1,4,6,5,2,7,3] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,2,6,3,1,5] => [1,4,6,2,7,5,3] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,2,6,5,1,3] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,2,6,5,3,1] => [1,4,6,3,2,7,5] => [6,4,7,1,3,2,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[4,7,3,1,2,5,6] => [1,4,2,7,6,5,3] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,7,3,1,2,6,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,3,1,5,2,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,3,1,5,6,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,3,1,6,2,5] => [1,4,2,7,5,6,3] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,3,1,6,5,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,3,2,1,5,6] => [1,4,2,7,6,5,3] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[4,7,3,2,1,6,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,3,2,5,1,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,3,2,5,6,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,3,2,6,1,5] => [1,4,2,7,5,6,3] => [4,7,5,1,2,6,3] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,3,2,6,5,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,3,5,1,2,6] => [1,4,5,2,7,6,3] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[4,7,3,5,1,6,2] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,3,5,2,1,6] => [1,4,5,2,7,6,3] => [7,4,5,1,6,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 3

[4,7,3,5,2,6,1] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,3,5,6,1,2] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,3,5,6,2,1] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[4,7,3,6,1,2,5] => [1,4,6,2,7,5,3] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,3,6,1,5,2] => [1,4,6,5,2,7,3] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,3,6,2,1,5] => [1,4,6,2,7,5,3] => [6,4,7,1,5,2,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,3,6,2,5,1] => [1,4,6,5,2,7,3] => [6,4,5,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[4,7,3,6,5,1,2] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,3,6,5,2,1] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,5,1,2,3,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,5,1,2,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,1,3,2,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,5,1,3,6,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,1,6,2,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,1,6,3,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,2,1,3,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,5,2,1,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,2,3,1,6] => [1,4,2,7,6,3,5] => [4,7,1,6,2,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[4,7,5,2,3,6,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,2,6,1,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,2,6,3,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

[4,7,5,3,1,2,6] => [1,4,3,5,2,7,6] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,5,3,1,6,2] => [1,4,3,5,2,7,6] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,5,3,2,1,6] => [1,4,3,5,2,7,6] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,5,3,2,6,1] => [1,4,3,5,2,7,6] => [7,4,3,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,5,6,1,2,3] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,5,6,2,1,3] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,5,6,3,1,2] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,5,6,3,2,1] => [1,4,6,2,7,3,5] => [4,1,6,2,7,3,5] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 1

[4,7,6,1,2,3,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,6,1,2,5,3] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,1,3,2,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,6,1,3,5,2] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,1,5,2,3] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,1,5,3,2] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,2,1,3,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,6,2,1,5,3] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,2,3,1,5] => [1,4,2,7,5,3,6] => [4,7,5,1,2,3,6] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[4,7,6,2,3,5,1] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,2,5,1,3] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,2,5,3,1] => [1,4,2,7,3,6,5] => [7,4,1,6,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,3,1,2,5] => [1,4,3,6,2,7,5] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,6,3,2,1,5] => [1,4,3,6,2,7,5] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,6,3,5,1,2] => [1,4,3,6,2,7,5] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,6,3,5,2,1] => [1,4,3,6,2,7,5] => [6,4,3,1,7,2,5] => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[4,7,6,5,1,2,3] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,5,1,3,2] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,5,2,1,3] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[4,7,6,5,2,3,1] => [1,4,5,2,7,3,6] => [4,5,1,2,7,3,6] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => [5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => [7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,1,2,3,7,6,4] => [1,5,7,4,3,2,6] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 1

[5,1,2,6,4,7,3] => [1,5,4,6,7,3,2] => [5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,2,6,7,3,4] => [1,5,7,4,6,3,2] => [5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,2,7,3,4,6] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,2,7,3,6,4] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => [7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,2,7,4,6,3] => [1,5,4,7,3,2,6] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => [5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,1,4,2,6,7,3] => [1,5,6,7,3,4,2] => [5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,4,2,7,3,6] => [1,5,7,6,3,4,2] => [7,1,5,3,6,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,4,2,7,6,3] => [1,5,7,3,4,2,6] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,1,4,6,3,7,2] => [1,5,3,4,6,7,2] => [5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,4,6,7,2,3] => [1,5,7,3,4,6,2] => [5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,1,4,7,3,2,6] => [1,5,3,4,7,6,2] => [7,5,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,4,7,6,3,2] => [1,5,6,3,4,7,2] => [5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,6,2,3,7,4] => [1,5,3,6,7,4,2] => [5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,6,2,7,4,3] => [1,5,7,3,6,4,2] => [5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,6,3,2,7,4] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,6,3,4,7,2] => [1,5,4,3,6,7,2] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,6,3,7,2,4] => [1,5,7,4,3,6,2] => [5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,1,6,3,7,4,2] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,1,6,4,2,7,3] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,6,4,3,7,2] => [1,5,3,6,7,2,4] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[5,1,6,4,7,2,3] => [1,5,7,3,6,2,4] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,1,6,4,7,3,2] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,1,6,7,3,4,2] => [1,5,3,6,4,7,2] => [5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,1,6,7,4,2,3] => [1,5,4,7,3,6,2] => [5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,7,2,3,4,6] => [1,5,3,7,6,4,2] => [7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,1,7,2,3,6,4] => [1,5,3,7,4,2,6] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,1,7,2,4,3,6] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,7,2,4,6,3] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,7,2,6,3,4] => [1,5,6,3,7,4,2] => [5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,1,7,3,2,4,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,1,7,3,2,6,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,7,3,4,2,6] => [1,5,4,3,7,6,2] => [7,5,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,1,7,3,6,2,4] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,1,7,3,6,4,2] => [1,5,6,4,3,7,2] => [5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,7,4,2,3,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,1,7,4,2,6,3] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,7,4,3,2,6] => [1,5,3,7,6,2,4] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,1,7,4,6,2,3] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,1,7,6,2,3,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,7,6,2,4,3] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,1,7,6,3,2,4] => [1,5,3,7,4,6,2] => [5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,1,7,6,4,3,2] => [1,5,4,6,3,7,2] => [5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,3,6,7,4] => [1,5,6,7,4,3,2] => [5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => [7,5,6,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,2,1,3,7,6,4] => [1,5,7,4,3,2,6] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 1

[5,2,1,6,4,7,3] => [1,5,4,6,7,3,2] => [5,4,6,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,6,7,3,4] => [1,5,7,4,6,3,2] => [5,4,7,1,6,3,2] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,7,3,4,6] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,7,3,6,4] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,7,4,3,6] => [1,5,4,7,6,3,2] => [7,5,4,6,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,1,7,4,6,3] => [1,5,4,7,3,2,6] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => [5,6,4,1,7,3,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,3,7,1,4,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,2,3,7,1,6,4] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,2,4,1,6,7,3] => [1,5,6,7,3,4,2] => [5,1,3,6,7,4,2] => ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,4,1,7,3,6] => [1,5,7,6,3,4,2] => [7,1,5,3,6,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,4,1,7,6,3] => [1,5,7,3,4,2,6] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,2,4,6,3,7,1] => [1,5,3,4,6,7,2] => [5,1,3,4,6,7,2] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,4,6,7,1,3] => [1,5,7,3,4,6,2] => [5,1,3,4,7,6,2] => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,2,4,7,3,1,6] => [1,5,3,4,7,6,2] => [7,5,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,4,7,6,3,1] => [1,5,6,3,4,7,2] => [5,1,3,6,4,7,2] => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,6,1,3,7,4] => [1,5,3,6,7,4,2] => [5,6,3,1,7,4,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,6,1,7,4,3] => [1,5,7,3,6,4,2] => [5,7,3,1,6,4,2] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,6,3,1,7,4] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,6,3,4,7,1] => [1,5,4,3,6,7,2] => [5,4,3,1,6,7,2] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,6,3,7,1,4] => [1,5,7,4,3,6,2] => [5,7,1,4,3,6,2] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,2,6,3,7,4,1] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,2,6,4,1,7,3] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,6,4,3,7,1] => [1,5,3,6,7,2,4] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[5,2,6,4,7,1,3] => [1,5,7,3,6,2,4] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,6,4,7,3,1] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,2,6,7,3,4,1] => [1,5,3,6,4,7,2] => [5,6,3,1,4,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,6,7,4,1,3] => [1,5,4,7,3,6,2] => [5,4,3,1,7,6,2] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,7,1,3,4,6] => [1,5,3,7,6,4,2] => [7,5,6,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,2,7,1,3,6,4] => [1,5,3,7,4,2,6] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,2,7,1,4,3,6] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,7,1,4,6,3] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,7,1,6,3,4] => [1,5,6,3,7,4,2] => [5,6,7,1,3,4,2] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,2,7,3,1,4,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,2,7,3,1,6,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,7,3,4,1,6] => [1,5,4,3,7,6,2] => [7,5,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,2,7,3,6,1,4] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,7,3,6,4,1] => [1,5,6,4,3,7,2] => [5,6,4,1,3,7,2] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,7,4,1,3,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,2,7,4,1,6,3] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,7,4,3,1,6] => [1,5,3,7,6,2,4] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,2,7,4,6,1,3] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,2,7,6,1,3,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,7,6,1,4,3] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,2,7,6,3,1,4] => [1,5,3,7,4,6,2] => [5,7,1,3,4,6,2] => ([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,2,7,6,4,3,1] => [1,5,4,6,3,7,2] => [5,4,6,1,3,7,2] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,1,7,2,6,4] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,4,7,1,2,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,4,7,1,6,2] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,4,7,2,1,6] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,4,7,2,6,1] => [1,5,2,3,4,7,6] => [7,1,2,5,3,4,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,3,6,1,2,7,4] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,6,1,7,4,2] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,3,6,2,1,7,4] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,6,2,7,4,1] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,3,6,4,1,7,2] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,6,4,2,7,1] => [1,5,2,3,6,7,4] => [5,1,6,2,3,7,4] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,6,4,7,1,2] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,3,6,4,7,2,1] => [1,5,7,2,3,6,4] => [5,1,7,2,3,6,4] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => 1

[5,3,7,1,2,4,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,3,7,1,2,6,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,1,4,2,6] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,3,7,1,4,6,2] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,3,7,1,6,2,4] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,7,2,1,4,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,3,7,2,1,6,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,2,4,1,6] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,3,7,2,4,6,1] => [1,5,4,2,3,7,6] => [7,1,5,4,2,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,3,7,2,6,1,4] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,7,4,1,2,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,3,7,4,1,6,2] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,4,2,1,6] => [1,5,2,3,7,6,4] => [7,5,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,3,7,4,2,6,1] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,4,6,1,2] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,7,4,6,2,1] => [1,5,6,2,3,7,4] => [5,1,6,2,7,3,4] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[5,3,7,6,1,2,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,6,1,4,2] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,6,2,1,4] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,3,7,6,2,4,1] => [1,5,2,3,7,4,6] => [5,1,2,7,3,4,6] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,4,1,3,6,7,2] => [1,5,6,7,2,4,3] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,3,7,2,6] => [1,5,7,6,2,4,3] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,1,3,7,6,2] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,6,2,7,3] => [1,5,2,4,6,7,3] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,6,7,3,2] => [1,5,7,2,4,6,3] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,7,2,3,6] => [1,5,2,4,7,6,3] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,7,3,2,6] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,7,3,6,2] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,1,7,6,2,3] => [1,5,6,2,4,7,3] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,4,2,3,6,7,1] => [1,5,6,7,2,4,3] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,3,7,1,6] => [1,5,7,6,2,4,3] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,2,3,7,6,1] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,6,1,7,3] => [1,5,2,4,6,7,3] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,6,7,3,1] => [1,5,7,2,4,6,3] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,7,1,3,6] => [1,5,2,4,7,6,3] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,7,3,1,6] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,7,3,6,1] => [1,5,3,2,4,7,6] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,2,7,6,1,3] => [1,5,6,2,4,7,3] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,4,3,1,6,7,2] => [1,5,6,7,2,4,3] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,1,7,2,6] => [1,5,7,6,2,4,3] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,3,1,7,6,2] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,2,6,7,1] => [1,5,6,7,2,4,3] => [5,1,6,2,7,4,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,2,7,1,6] => [1,5,7,6,2,4,3] => [7,1,5,6,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,6,1,7,2] => [1,5,2,4,6,7,3] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,6,2,7,1] => [1,5,2,4,6,7,3] => [5,1,4,2,6,7,3] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,6,7,1,2] => [1,5,7,2,4,6,3] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,6,7,2,1] => [1,5,7,2,4,6,3] => [5,1,4,2,7,6,3] => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,7,1,2,6] => [1,5,2,4,7,6,3] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,7,2,1,6] => [1,5,2,4,7,6,3] => [7,5,1,4,2,6,3] => ([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,3,7,6,1,2] => [1,5,6,2,4,7,3] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,4,3,7,6,2,1] => [1,5,6,2,4,7,3] => [5,1,6,2,4,7,3] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,4,6,1,3,7,2] => [1,5,3,6,7,2,4] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[5,4,6,1,7,2,3] => [1,5,7,3,6,2,4] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,6,1,7,3,2] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,6,2,3,7,1] => [1,5,3,6,7,2,4] => [3,5,1,2,6,7,4] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 1

[5,4,6,2,7,1,3] => [1,5,7,3,6,2,4] => [3,5,1,2,7,6,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => 1

[5,4,6,2,7,3,1] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,6,3,7,1,2] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => [5,1,2,7,4,3,6] => ([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,1,2,3,6] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,1,2,6,3] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,1,3,2,6] => [1,5,3,7,6,2,4] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,2,1,3,6] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,2,1,6,3] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,2,3,1,6] => [1,5,3,7,6,2,4] => [3,7,5,1,2,6,4] => ([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,3,1,2,6] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,3,1,6,2] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,3,2,1,6] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,4,7,3,2,6,1] => [1,5,2,4,3,7,6] => [7,5,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,6,1,2,3,7,4] => [1,5,3,2,6,7,4] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2

[5,6,1,2,4,7,3] => [1,5,4,2,6,7,3] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,6,1,2,7,3,4] => [1,5,7,4,2,6,3] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,1,2,7,4,3] => [1,5,7,3,2,6,4] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[5,6,1,3,2,7,4] => [1,5,2,6,7,4,3] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,1,3,7,2,4] => [1,5,7,4,3,2,6] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 1

[5,6,1,3,7,4,2] => [1,5,7,2,6,4,3] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[5,6,1,4,3,7,2] => [1,5,3,2,6,7,4] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2

[5,6,1,4,7,2,3] => [1,5,7,3,2,6,4] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[5,6,1,7,2,4,3] => [1,5,2,6,4,7,3] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,6,1,7,4,2,3] => [1,5,4,7,3,2,6] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,6,1,7,4,3,2] => [1,5,4,7,2,6,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[5,6,2,1,3,7,4] => [1,5,3,2,6,7,4] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2

[5,6,2,1,4,7,3] => [1,5,4,2,6,7,3] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,6,2,1,7,3,4] => [1,5,7,4,2,6,3] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,2,1,7,4,3] => [1,5,7,3,2,6,4] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[5,6,2,3,1,7,4] => [1,5,2,6,7,4,3] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,2,3,7,1,4] => [1,5,7,4,3,2,6] => [5,4,7,1,3,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 1

[5,6,2,3,7,4,1] => [1,5,7,2,6,4,3] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[5,6,2,4,3,7,1] => [1,5,3,2,6,7,4] => [5,6,3,1,2,7,4] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2

[5,6,2,4,7,1,3] => [1,5,7,3,2,6,4] => [5,7,1,6,3,2,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 1

[5,6,2,7,1,4,3] => [1,5,2,6,4,7,3] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,6,2,7,4,1,3] => [1,5,4,7,3,2,6] => [5,4,1,7,3,2,6] => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,6,2,7,4,3,1] => [1,5,4,7,2,6,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[5,6,3,1,2,7,4] => [1,5,2,6,7,4,3] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,3,1,4,7,2] => [1,5,4,2,6,7,3] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,6,3,1,7,2,4] => [1,5,7,4,2,6,3] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,3,1,7,4,2] => [1,5,7,2,6,4,3] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[5,6,3,2,1,7,4] => [1,5,2,6,7,4,3] => [5,6,7,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,6,3,2,4,7,1] => [1,5,4,2,6,7,3] => [5,4,6,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[5,6,3,2,7,1,4] => [1,5,7,4,2,6,3] => [5,7,1,4,6,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,6,3,2,7,4,1] => [1,5,7,2,6,4,3] => [5,7,6,1,2,4,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 2

[5,6,3,7,1,4,2] => [1,5,2,6,4,7,3] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,6,3,7,2,4,1] => [1,5,2,6,4,7,3] => [5,6,4,1,2,7,3] => ([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[5,6,3,7,4,1,2] => [1,5,4,7,2,6,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[5,6,3,7,4,2,1] => [1,5,4,7,2,6,3] => [5,4,7,1,2,6,3] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[5,6,4,1,7,2,3] => [1,5,7,3,4,2,6] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,6,4,2,7,1,3] => [1,5,7,3,4,2,6] => [5,1,3,4,7,2,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,1,2,3,4] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,1,3,2,4] => [1,5,3,7,4,2,6] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,1,3,4,2] => [1,5,3,7,2,6,4] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,2,1,3,4] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,2,3,1,4] => [1,5,3,7,4,2,6] => [5,3,7,1,4,2,6] => ([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,2,3,4,1] => [1,5,3,7,2,6,4] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,3,1,2,4] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,3,2,1,4] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,4,1,2,3] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,4,1,3,2] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,4,2,1,3] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,4,2,3,1] => [1,5,2,6,3,7,4] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3

[5,6,7,4,3,1,2] => [1,5,3,7,2,6,4] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => 1

[5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => [5,7,3,1,2,6,4] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => 1

[5,7,1,2,3,4,6] => [1,5,3,2,7,6,4] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,1,2,3,6,4] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,2,4,3,6] => [1,5,4,2,7,6,3] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,1,2,4,6,3] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,1,2,6,3,4] => [1,5,6,3,2,7,4] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,7,1,2,6,4,3] => [1,5,6,4,2,7,3] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,1,3,2,4,6] => [1,5,2,7,6,4,3] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,1,3,2,6,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,1,3,4,2,6] => [1,5,4,3,2,7,6] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,1,3,4,6,2] => [1,5,4,3,2,7,6] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,1,3,6,2,4] => [1,5,6,2,7,4,3] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,7,1,4,3,2,6] => [1,5,3,2,7,6,4] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,1,4,3,6,2] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,4,6,3,2] => [1,5,6,3,2,7,4] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,7,1,6,2,3,4] => [1,5,2,7,4,6,3] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,6,3,2,4] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,6,3,4,2] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,1,6,4,2,3] => [1,5,4,6,2,7,3] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,1,3,4,6] => [1,5,3,2,7,6,4] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,2,1,3,6,4] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,1,4,3,6] => [1,5,4,2,7,6,3] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,2,1,4,6,3] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,2,1,6,3,4] => [1,5,6,3,2,7,4] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,7,2,1,6,4,3] => [1,5,6,4,2,7,3] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,2,3,1,4,6] => [1,5,2,7,6,4,3] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,2,3,1,6,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,2,3,4,1,6] => [1,5,4,3,2,7,6] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,2,3,4,6,1] => [1,5,4,3,2,7,6] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,2,3,6,1,4] => [1,5,6,2,7,4,3] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,7,2,4,3,1,6] => [1,5,3,2,7,6,4] => [7,5,6,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,2,4,3,6,1] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,4,6,3,1] => [1,5,6,3,2,7,4] => [5,6,7,1,3,2,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2

[5,7,2,6,1,3,4] => [1,5,2,7,4,6,3] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,6,3,1,4] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,6,3,4,1] => [1,5,3,2,7,4,6] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,2,6,4,1,3] => [1,5,4,6,2,7,3] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,3,1,2,4,6] => [1,5,2,7,6,4,3] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,3,1,2,6,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,3,1,4,2,6] => [1,5,4,2,7,6,3] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,3,1,4,6,2] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,3,1,6,2,4] => [1,5,6,2,7,4,3] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,7,3,1,6,4,2] => [1,5,6,4,2,7,3] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,3,2,1,4,6] => [1,5,2,7,6,4,3] => [7,5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,3,2,1,6,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,3,2,4,1,6] => [1,5,4,2,7,6,3] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[5,7,3,2,4,6,1] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,3,2,6,1,4] => [1,5,6,2,7,4,3] => [5,6,7,1,4,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => 3

[5,7,3,2,6,4,1] => [1,5,6,4,2,7,3] => [5,6,4,1,7,2,3] => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[5,7,3,6,1,2,4] => [1,5,2,7,4,6,3] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,3,6,2,1,4] => [1,5,2,7,4,6,3] => [5,7,1,4,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,3,6,4,1,2] => [1,5,4,6,2,7,3] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,3,6,4,2,1] => [1,5,4,6,2,7,3] => [5,4,6,1,7,2,3] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[5,7,4,1,3,2,6] => [1,5,3,4,2,7,6] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,7,4,1,3,6,2] => [1,5,3,4,2,7,6] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,7,4,2,3,1,6] => [1,5,3,4,2,7,6] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,7,4,2,3,6,1] => [1,5,3,4,2,7,6] => [7,5,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[5,7,6,1,2,3,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,6,1,2,4,3] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,1,3,2,4] => [1,5,3,6,2,7,4] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,7,6,1,4,2,3] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,6,1,4,3,2] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,6,2,1,3,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,6,2,1,4,3] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,2,3,1,4] => [1,5,3,6,2,7,4] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,7,6,2,4,1,3] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,6,2,4,3,1] => [1,5,4,2,7,3,6] => [5,4,1,7,2,3,6] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[5,7,6,3,1,2,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,6,3,1,4,2] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,3,2,1,4] => [1,5,2,7,4,3,6] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[5,7,6,3,2,4,1] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,4,1,2,3] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,4,1,3,2] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,4,2,1,3] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,4,2,3,1] => [1,5,2,7,3,6,4] => [5,7,1,6,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => 2

[5,7,6,4,3,1,2] => [1,5,3,6,2,7,4] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => [5,6,3,1,7,2,4] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => [6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,1,2,3,5,7,4] => [1,6,7,4,3,2,5] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => [6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,1,2,5,3,7,4] => [1,6,7,4,5,3,2] => [6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,1,2,5,7,4,3] => [1,6,4,5,7,3,2] => [6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,2,7,3,4,5] => [1,6,4,7,5,3,2] => [6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,2,7,4,3,5] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,7,4,5,3] => [1,6,5,4,7,3,2] => [6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,1,2,7,5,3,4] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,2,7,5,4,3] => [1,6,4,7,3,2,5] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,1,3,7,4,2,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,4,2,3,7,5] => [1,6,7,5,3,4,2] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,1,4,2,7,5,3] => [1,6,5,7,3,4,2] => [6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,4,5,2,7,3] => [1,6,7,3,4,5,2] => [3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,4,5,7,3,2] => [1,6,3,4,5,7,2] => [3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,1,4,7,2,3,5] => [1,6,3,4,7,5,2] => [6,7,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,4,7,3,2,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,4,7,3,5,2] => [1,6,5,3,4,7,2] => [6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,4,7,5,2,3] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,5,2,4,7,3] => [1,6,7,3,5,4,2] => [6,7,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,5,2,7,3,4] => [1,6,3,5,7,4,2] => [6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,5,3,2,7,4] => [1,6,7,4,3,5,2] => [6,1,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,1,5,3,4,7,2] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,5,3,7,2,4] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,5,3,7,4,2] => [1,6,4,3,5,7,2] => [4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,5,4,3,7,2] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,5,4,7,2,3] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,5,7,2,4,3] => [1,6,4,7,3,5,2] => [4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,5,7,4,3,2] => [1,6,3,5,4,7,2] => [6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,7,2,3,4,5] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,7,2,3,5,4] => [1,6,5,3,7,4,2] => [6,5,7,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,7,2,4,3,5] => [1,6,3,7,5,4,2] => [6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,1,7,2,5,3,4] => [1,6,3,7,4,2,5] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,7,2,5,4,3] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,7,3,2,4,5] => [1,6,4,3,7,5,2] => [6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,1,7,3,2,5,4] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,1,7,3,4,2,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,7,3,4,5,2] => [1,6,5,4,3,7,2] => [6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,1,7,3,5,4,2] => [1,6,4,3,7,2,5] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,7,4,2,3,5] => [1,6,3,7,5,2,4] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,7,4,2,5,3] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,1,7,4,3,2,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,1,7,4,3,5,2] => [1,6,5,3,7,2,4] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,7,4,5,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,1,7,5,2,3,4] => [1,6,3,7,4,5,2] => [6,1,7,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,1,7,5,3,4,2] => [1,6,4,5,3,7,2] => [6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,1,7,5,4,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => [6,7,5,4,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,2,1,3,5,7,4] => [1,6,7,4,3,2,5] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,1,3,7,5,4] => [1,6,5,7,4,3,2] => [6,5,7,4,1,3,2] => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,2,1,5,3,7,4] => [1,6,7,4,5,3,2] => [6,4,1,7,5,3,2] => ([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,2,1,5,7,4,3] => [1,6,4,5,7,3,2] => [6,4,1,5,7,3,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,1,7,3,4,5] => [1,6,4,7,5,3,2] => [6,7,4,5,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,1,7,4,3,5] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,1,7,4,5,3] => [1,6,5,4,7,3,2] => [6,5,4,7,1,3,2] => ([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,2,1,7,5,3,4] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,1,7,5,4,3] => [1,6,4,7,3,2,5] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,2,3,7,4,1,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,3,7,5,1,4] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,4,1,3,7,5] => [1,6,7,5,3,4,2] => [6,1,7,3,5,4,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,2,4,1,7,5,3] => [1,6,5,7,3,4,2] => [6,1,5,3,7,4,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,4,5,1,7,3] => [1,6,7,3,4,5,2] => [3,1,6,4,7,5,2] => ([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,4,5,7,3,1] => [1,6,3,4,5,7,2] => [3,1,6,4,5,7,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,2,4,7,1,3,5] => [1,6,3,4,7,5,2] => [6,7,1,3,4,5,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,4,7,3,5,1] => [1,6,5,3,4,7,2] => [6,1,5,3,4,7,2] => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,5,1,4,7,3] => [1,6,7,3,5,4,2] => [6,7,1,3,5,4,2] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,5,1,7,3,4] => [1,6,3,5,7,4,2] => [6,5,1,3,7,4,2] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,5,3,1,7,4] => [1,6,7,4,3,5,2] => [6,1,7,4,3,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,2,5,3,4,7,1] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,5,3,7,1,4] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,5,3,7,4,1] => [1,6,4,3,5,7,2] => [4,6,3,1,5,7,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,5,4,3,7,1] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,5,4,7,1,3] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,5,7,1,4,3] => [1,6,4,7,3,5,2] => [4,6,3,1,7,5,2] => ([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,5,7,4,3,1] => [1,6,3,5,4,7,2] => [6,5,1,3,4,7,2] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,7,1,3,4,5] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,1,3,5,4] => [1,6,5,3,7,4,2] => [6,5,7,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,7,1,4,3,5] => [1,6,3,7,5,4,2] => [6,7,5,3,1,4,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,2,7,1,5,3,4] => [1,6,3,7,4,2,5] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,1,5,4,3] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,3,1,4,5] => [1,6,4,3,7,5,2] => [6,7,4,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,2,7,3,1,5,4] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,2,7,3,4,1,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => [6,5,4,3,1,7,2] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,2,7,3,5,4,1] => [1,6,4,3,7,2,5] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,7,4,1,3,5] => [1,6,3,7,5,2,4] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,7,4,1,5,3] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,2,7,4,3,1,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,2,7,4,3,5,1] => [1,6,5,3,7,2,4] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,7,4,5,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,2,7,5,1,3,4] => [1,6,3,7,4,5,2] => [6,1,7,3,4,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,2,7,5,3,4,1] => [1,6,4,5,3,7,2] => [6,4,1,5,3,7,2] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,2,7,5,4,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,3,1,7,4,2,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,1,7,5,2,4] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,7,1,2,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,7,2,1,5] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,4,7,5,2,1] => [1,6,2,3,4,7,5] => [6,1,2,7,3,4,5] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,5,1,4,7,2] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,5,1,7,2,4] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,3,5,2,4,7,1] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,5,2,7,1,4] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,3,5,4,1,7,2] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,5,4,2,7,1] => [1,6,7,2,3,5,4] => [6,1,2,7,3,5,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,5,4,7,1,2] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,3,5,4,7,2,1] => [1,6,2,3,5,7,4] => [6,1,2,5,3,7,4] => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,3,7,1,2,4,5] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,7,1,2,5,4] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,3,7,1,4,2,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,1,5,4,2] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,7,2,1,4,5] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,7,2,1,5,4] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,3,7,2,4,1,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,2,5,4,1] => [1,6,4,2,3,7,5] => [6,1,7,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,3,7,4,1,2,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,4,1,5,2] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,3,7,4,2,1,5] => [1,6,2,3,7,5,4] => [6,7,1,5,2,3,4] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,3,7,4,2,5,1] => [1,6,5,2,3,7,4] => [6,1,5,7,2,3,4] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,4,1,3,2,7,5] => [1,6,7,5,2,4,3] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,4,1,3,7,5,2] => [1,6,5,7,2,4,3] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,1,5,3,7,2] => [1,6,7,2,4,5,3] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,4,1,5,7,2,3] => [1,6,2,4,5,7,3] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,1,7,2,3,5] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,1,7,2,5,3] => [1,6,5,2,4,7,3] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,1,7,3,2,5] => [1,6,2,4,7,5,3] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,1,7,5,3,2] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,2,3,1,7,5] => [1,6,7,5,2,4,3] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,4,2,3,7,5,1] => [1,6,5,7,2,4,3] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,2,5,3,7,1] => [1,6,7,2,4,5,3] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,4,2,5,7,1,3] => [1,6,2,4,5,7,3] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,2,7,1,3,5] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,2,7,1,5,3] => [1,6,5,2,4,7,3] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,2,7,3,1,5] => [1,6,2,4,7,5,3] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,2,7,5,3,1] => [1,6,3,2,4,7,5] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,3,1,2,7,5] => [1,6,7,5,2,4,3] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,4,3,1,7,5,2] => [1,6,5,7,2,4,3] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,2,1,7,5] => [1,6,7,5,2,4,3] => [6,1,7,5,2,4,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,4,3,2,7,5,1] => [1,6,5,7,2,4,3] => [6,1,5,7,2,4,3] => ([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,5,1,7,2] => [1,6,7,2,4,5,3] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,5,2,7,1] => [1,6,7,2,4,5,3] => [6,1,2,4,7,5,3] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,5,7,1,2] => [1,6,2,4,5,7,3] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,5,7,2,1] => [1,6,2,4,5,7,3] => [6,1,2,4,5,7,3] => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,7,1,2,5] => [1,6,2,4,7,5,3] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,3,7,1,5,2] => [1,6,5,2,4,7,3] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,3,7,2,1,5] => [1,6,2,4,7,5,3] => [6,7,1,4,2,5,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,4,3,7,2,5,1] => [1,6,5,2,4,7,3] => [6,1,5,4,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,7,1,2,3,5] => [1,6,3,7,5,2,4] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,1,3,2,5] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,1,3,5,2] => [1,6,5,3,7,2,4] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,7,1,5,2,3] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,1,5,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,4,7,2,1,3,5] => [1,6,3,7,5,2,4] => [3,6,7,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,2,3,1,5] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,2,3,5,1] => [1,6,5,3,7,2,4] => [3,6,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,4,7,2,5,1,3] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,2,5,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,4,7,3,1,2,5] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,3,2,1,5] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,3,5,1,2] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,3,5,2,1] => [1,6,2,4,3,7,5] => [6,7,1,4,2,3,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,4,7,5,1,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,4,7,5,2,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 1

[6,5,1,2,3,7,4] => [1,6,7,4,2,5,3] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,5,1,2,4,7,3] => [1,6,7,3,2,5,4] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,5,1,2,7,3,4] => [1,6,3,2,5,7,4] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,1,2,7,4,3] => [1,6,4,2,5,7,3] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,1,3,2,7,4] => [1,6,7,4,3,2,5] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,1,3,4,7,2] => [1,6,7,2,5,4,3] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,1,3,7,2,4] => [1,6,2,5,7,4,3] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,1,4,2,7,3] => [1,6,7,3,2,5,4] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,5,1,4,7,3,2] => [1,6,3,2,5,7,4] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,1,7,2,4,3] => [1,6,4,7,3,2,5] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,1,7,3,4,2] => [1,6,4,7,2,5,3] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,5,1,7,4,2,3] => [1,6,2,5,4,7,3] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,2,1,3,7,4] => [1,6,7,4,2,5,3] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,5,2,1,4,7,3] => [1,6,7,3,2,5,4] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,5,2,1,7,3,4] => [1,6,3,2,5,7,4] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,2,1,7,4,3] => [1,6,4,2,5,7,3] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,2,3,1,7,4] => [1,6,7,4,3,2,5] => [4,6,7,1,3,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,2,3,4,7,1] => [1,6,7,2,5,4,3] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,2,3,7,1,4] => [1,6,2,5,7,4,3] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,2,4,1,7,3] => [1,6,7,3,2,5,4] => [6,1,7,5,3,2,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 1

[6,5,2,4,7,3,1] => [1,6,3,2,5,7,4] => [6,3,5,1,2,7,4] => ([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,2,7,1,4,3] => [1,6,4,7,3,2,5] => [4,6,1,7,3,2,5] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,2,7,3,4,1] => [1,6,4,7,2,5,3] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,5,2,7,4,1,3] => [1,6,2,5,4,7,3] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,3,1,2,7,4] => [1,6,7,4,2,5,3] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,5,3,1,4,7,2] => [1,6,7,2,5,4,3] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,3,1,7,2,4] => [1,6,2,5,7,4,3] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,3,1,7,4,2] => [1,6,4,2,5,7,3] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,3,2,1,7,4] => [1,6,7,4,2,5,3] => [6,1,7,4,5,2,3] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,5,3,2,4,7,1] => [1,6,7,2,5,4,3] => [6,7,1,5,2,4,3] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,5,3,2,7,1,4] => [1,6,2,5,7,4,3] => [6,5,1,7,2,4,3] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,3,2,7,4,1] => [1,6,4,2,5,7,3] => [4,6,5,1,2,7,3] => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[6,5,3,7,1,4,2] => [1,6,4,7,2,5,3] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,5,3,7,2,4,1] => [1,6,4,7,2,5,3] => [4,6,7,1,2,5,3] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,5,3,7,4,1,2] => [1,6,2,5,4,7,3] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,3,7,4,2,1] => [1,6,2,5,4,7,3] => [6,5,1,4,2,7,3] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,1,2,3,4] => [1,6,3,7,4,2,5] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,1,3,2,4] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,1,4,3,2] => [1,6,3,7,2,5,4] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,2,1,3,4] => [1,6,3,7,4,2,5] => [3,6,7,1,4,2,5] => ([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,2,3,1,4] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,2,4,3,1] => [1,6,3,7,2,5,4] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,3,1,2,4] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,3,1,4,2] => [1,6,4,3,7,2,5] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,7,3,2,1,4] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,3,2,4,1] => [1,6,4,3,7,2,5] => [4,6,3,1,2,7,5] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,5,7,4,1,2,3] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,4,1,3,2] => [1,6,3,7,2,5,4] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,4,2,1,3] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,4,2,3,1] => [1,6,3,7,2,5,4] => [6,3,7,1,2,5,4] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,5,7,4,3,1,2] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,5,7,4,3,2,1] => [1,6,2,5,3,7,4] => [6,5,1,7,2,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,7,1,2,3,4,5] => [1,6,4,2,7,5,3] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,1,2,3,5,4] => [1,6,5,3,2,7,4] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[6,7,1,2,4,3,5] => [1,6,3,2,7,5,4] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,7,1,2,4,5,3] => [1,6,5,4,2,7,3] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,7,1,2,5,3,4] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,2,5,4,3] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,1,3,2,4,5] => [1,6,4,3,2,7,5] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,1,3,2,5,4] => [1,6,5,2,7,4,3] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,1,3,4,2,5] => [1,6,2,7,5,4,3] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,1,3,5,2,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,1,3,5,4,2] => [1,6,4,3,2,7,5] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,1,4,2,3,5] => [1,6,3,2,7,5,4] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,7,1,4,3,5,2] => [1,6,5,3,2,7,4] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[6,7,1,4,5,3,2] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,5,2,3,4] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,5,2,4,3] => [1,6,4,5,2,7,3] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,7,1,5,3,2,4] => [1,6,2,7,4,5,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,1,5,4,3,2] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,1,3,4,5] => [1,6,4,2,7,5,3] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,1,3,5,4] => [1,6,5,3,2,7,4] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[6,7,2,1,4,3,5] => [1,6,3,2,7,5,4] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,7,2,1,4,5,3] => [1,6,5,4,2,7,3] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,7,2,1,5,3,4] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,1,5,4,3] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,2,3,1,4,5] => [1,6,4,3,2,7,5] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,3,1,5,4] => [1,6,5,2,7,4,3] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,2,3,4,1,5] => [1,6,2,7,5,4,3] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,2,3,5,1,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,3,5,4,1] => [1,6,4,3,2,7,5] => [6,7,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,2,4,1,3,5] => [1,6,3,2,7,5,4] => [6,7,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[6,7,2,4,3,5,1] => [1,6,5,3,2,7,4] => [6,5,7,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[6,7,2,4,5,3,1] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,5,1,3,4] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,5,1,4,3] => [1,6,4,5,2,7,3] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,7,2,5,3,1,4] => [1,6,2,7,4,5,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,2,5,4,3,1] => [1,6,3,2,7,4,5] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,3,1,2,4,5] => [1,6,4,2,7,5,3] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,1,2,5,4] => [1,6,5,2,7,4,3] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,3,1,4,2,5] => [1,6,2,7,5,4,3] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,3,1,4,5,2] => [1,6,5,4,2,7,3] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,7,3,1,5,2,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,1,5,4,2] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,3,2,1,4,5] => [1,6,4,2,7,5,3] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,2,1,5,4] => [1,6,5,2,7,4,3] => [6,5,7,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,3,2,4,1,5] => [1,6,2,7,5,4,3] => [6,7,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[6,7,3,2,4,5,1] => [1,6,5,4,2,7,3] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[6,7,3,2,5,1,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,3,2,5,4,1] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,3,5,1,2,4] => [1,6,2,7,4,5,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,3,5,1,4,2] => [1,6,4,5,2,7,3] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,7,3,5,2,1,4] => [1,6,2,7,4,5,3] => [6,1,7,4,2,5,3] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[6,7,3,5,2,4,1] => [1,6,4,5,2,7,3] => [6,4,1,5,7,2,3] => ([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[6,7,4,1,2,3,5] => [1,6,3,4,2,7,5] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,4,1,5,3,2] => [1,6,3,4,2,7,5] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,4,2,1,3,5] => [1,6,3,4,2,7,5] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,4,2,5,3,1] => [1,6,3,4,2,7,5] => [6,7,1,3,4,2,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,5,1,2,3,4] => [1,6,3,5,2,7,4] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,7,5,1,2,4,3] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,5,1,3,2,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,5,1,3,4,2] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,5,1,4,2,3] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,2,1,3,4] => [1,6,3,5,2,7,4] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,7,5,2,1,4,3] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,5,2,3,1,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,5,2,3,4,1] => [1,6,4,2,7,3,5] => [4,6,1,7,2,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1

[6,7,5,2,4,1,3] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,3,1,2,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,5,3,2,1,4] => [1,6,2,7,4,3,5] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2

[6,7,5,3,4,1,2] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,3,4,2,1] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,4,1,2,3] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,4,1,3,2] => [1,6,3,5,2,7,4] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,7,5,4,2,1,3] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,4,2,3,1] => [1,6,3,5,2,7,4] => [6,5,1,3,7,2,4] => ([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[6,7,5,4,3,1,2] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[6,7,5,4,3,2,1] => [1,6,2,7,3,5,4] => [6,1,7,5,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => 2

[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[7,1,2,3,4,6,5] => [1,7,5,4,3,2,6] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,2,3,5,4,6] => [1,7,6,4,3,2,5] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,2,3,5,6,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,1,2,3,6,5,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,4,3,5,6] => [1,7,6,5,3,2,4] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,2,4,3,6,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,4,5,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,6,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,2,5,3,6,4] => [1,7,4,5,3,2,6] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,5,4,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => [4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,6,3,4,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => [5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,6,4,5,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,6,5,3,4] => [1,7,4,6,3,2,5] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,1,2,6,5,4,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,3,6,4,5,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,3,6,5,4,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,4,2,3,5,6] => [1,7,6,5,3,4,2] => [7,1,6,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,4,2,6,3,5] => [1,7,5,6,3,4,2] => [7,1,3,5,6,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,4,5,2,3,6] => [1,7,6,3,4,5,2] => [3,1,7,6,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,4,5,2,6,3] => [1,7,3,4,5,2,6] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,4,5,6,2,3] => [1,7,3,4,5,6,2] => [3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,1,4,6,2,5,3] => [1,7,3,4,6,5,2] => [7,3,1,6,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,4,6,3,2,5] => [1,7,5,3,4,6,2] => [5,1,7,3,4,6,2] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,1,4,6,3,5,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,4,6,5,2,3] => [1,7,3,4,6,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => 1

[7,1,4,6,5,3,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,5,2,4,3,6] => [1,7,6,3,5,4,2] => [7,6,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,5,2,4,6,3] => [1,7,3,5,4,2,6] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,1,5,2,6,4,3] => [1,7,3,5,6,4,2] => [7,3,1,5,6,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,5,3,2,4,6] => [1,7,6,4,3,5,2] => [4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,5,3,2,6,4] => [1,7,4,3,5,2,6] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[7,1,5,3,4,2,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,5,3,6,2,4] => [1,7,4,3,5,6,2] => [4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,5,3,6,4,2] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,5,4,3,2,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,5,4,6,3,2] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,5,6,2,3,4] => [1,7,4,6,3,5,2] => [7,1,4,3,6,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,5,6,4,2,3] => [1,7,3,5,4,6,2] => [7,1,5,3,4,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,2,3,4,5] => [1,7,5,3,6,4,2] => [5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,2,3,5,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => [7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,1,6,2,5,3,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,3,2,4,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,1,6,3,2,5,4] => [1,7,4,3,6,5,2] => [7,4,6,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => [5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,3,4,5,2] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,6,3,5,2,4] => [1,7,4,3,6,2,5] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,1,6,4,2,3,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,1,6,4,3,2,5] => [1,7,5,3,6,2,4] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,1,6,4,3,5,2] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,1,6,5,2,4,3] => [1,7,3,6,4,5,2] => [7,1,3,6,4,5,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => [7,1,4,5,3,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => [7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5

[7,2,1,3,4,6,5] => [1,7,5,4,3,2,6] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,1,3,5,4,6] => [1,7,6,4,3,2,5] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,1,3,5,6,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,1,3,6,4,5] => [1,7,5,6,4,3,2] => [7,5,6,1,4,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,2,1,3,6,5,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,1,4,3,5,6] => [1,7,6,5,3,2,4] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,1,4,3,6,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,1,4,5,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,5,3,4,6] => [1,7,6,4,5,3,2] => [7,6,1,4,5,3,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,1,5,3,6,4] => [1,7,4,5,3,2,6] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,5,4,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,5,6,3,4] => [1,7,4,5,6,3,2] => [4,7,1,5,6,3,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,6,3,4,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,1,6,3,5,4] => [1,7,4,6,5,3,2] => [7,6,4,1,5,3,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,1,6,4,3,5] => [1,7,5,4,6,3,2] => [5,7,4,6,1,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,6,4,5,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,6,5,3,4] => [1,7,4,6,3,2,5] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,2,1,6,5,4,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,3,6,4,5,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,3,6,5,4,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,4,1,3,5,6] => [1,7,6,5,3,4,2] => [7,1,6,5,3,4,2] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,4,1,6,3,5] => [1,7,5,6,3,4,2] => [7,1,3,5,6,4,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,4,5,1,3,6] => [1,7,6,3,4,5,2] => [3,1,7,6,4,5,2] => ([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,4,5,1,6,3] => [1,7,3,4,5,2,6] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,4,5,6,1,3] => [1,7,3,4,5,6,2] => [3,1,4,7,5,6,2] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,2,4,6,1,5,3] => [1,7,3,4,6,5,2] => [7,3,1,6,4,5,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,4,6,3,1,5] => [1,7,5,3,4,6,2] => [5,1,7,3,4,6,2] => ([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,2,4,6,3,5,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,4,6,5,1,3] => [1,7,3,4,6,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => 1

[7,2,4,6,5,3,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,5,1,4,3,6] => [1,7,6,3,5,4,2] => [7,6,1,5,3,4,2] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,5,1,4,6,3] => [1,7,3,5,4,2,6] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => [7,3,1,5,6,4,2] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,5,3,1,4,6] => [1,7,6,4,3,5,2] => [4,7,6,3,1,5,2] => ([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,5,3,1,6,4] => [1,7,4,3,5,2,6] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[7,2,5,3,4,1,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,5,3,6,1,4] => [1,7,4,3,5,6,2] => [4,7,1,3,5,6,2] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,5,3,6,4,1] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,5,4,3,1,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,5,4,6,3,1] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,5,6,1,3,4] => [1,7,4,6,3,5,2] => [7,1,4,3,6,5,2] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,5,6,4,1,3] => [1,7,3,5,4,6,2] => [7,1,5,3,4,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,1,3,4,5] => [1,7,5,3,6,4,2] => [5,7,6,3,1,4,2] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,1,3,5,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,1,4,5,3] => [1,7,3,6,5,4,2] => [7,6,5,1,3,4,2] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,2,6,1,5,3,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,3,1,4,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => [7,4,6,3,1,5,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => [5,7,4,3,1,6,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,3,4,5,1] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,6,3,5,1,4] => [1,7,4,3,6,2,5] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,2,6,4,1,3,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,2,6,4,3,1,5] => [1,7,5,3,6,2,4] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,2,6,4,3,5,1] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,2,6,5,1,4,3] => [1,7,3,6,4,5,2] => [7,1,3,6,4,5,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,2,6,5,3,1,4] => [1,7,4,5,3,6,2] => [7,1,4,5,3,6,2] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,3,1,6,4,5,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,1,6,5,4,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,2,6,4,5,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,2,6,5,4,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,4,6,1,5,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,4,6,2,5,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,4,6,5,1,2] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,4,6,5,2,1] => [1,7,2,3,4,6,5] => [7,1,2,3,6,4,5] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,5,1,4,2,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,5,1,6,4,2] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,5,2,4,1,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,5,2,6,4,1] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,5,4,1,2,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,5,4,2,1,6] => [1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,5,4,6,1,2] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,5,4,6,2,1] => [1,7,2,3,5,6,4] => [7,1,2,3,5,6,4] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,3,6,1,2,4,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,3,6,1,2,5,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,3,6,1,4,5,2] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,6,1,5,2,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,3,6,2,1,4,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,3,6,2,1,5,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,3,6,2,4,5,1] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,6,2,5,1,4] => [1,7,4,2,3,6,5] => [7,1,4,6,2,3,5] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,3,6,4,1,2,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,3,6,4,1,5,2] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,3,6,4,2,1,5] => [1,7,5,2,3,6,4] => [5,1,7,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => 2

[7,3,6,4,2,5,1] => [1,7,2,3,6,5,4] => [7,6,1,2,5,3,4] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,1,2,3,5,6] => [1,7,6,5,3,2,4] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,1,2,3,6,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,1,2,5,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,4,1,3,2,5,6] => [1,7,6,5,2,4,3] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,4,1,3,6,2,5] => [1,7,5,6,2,4,3] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,1,5,2,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,4,1,5,3,2,6] => [1,7,6,2,4,5,3] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,1,5,6,3,2] => [1,7,2,4,5,6,3] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,1,6,2,3,5] => [1,7,5,2,4,6,3] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,4,1,6,2,5,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,1,6,3,2,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,1,6,3,5,2] => [1,7,2,4,6,5,3] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,1,6,5,2,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,2,1,3,5,6] => [1,7,6,5,3,2,4] => [3,7,6,5,1,2,4] => ([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,2,1,3,6,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,2,1,5,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,4,2,3,1,5,6] => [1,7,6,5,2,4,3] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,4,2,3,6,1,5] => [1,7,5,6,2,4,3] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,2,5,1,3,6] => [1,7,6,3,2,4,5] => [3,1,7,6,2,4,5] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,4,2,5,3,1,6] => [1,7,6,2,4,5,3] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,2,5,6,3,1] => [1,7,2,4,5,6,3] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,2,6,1,3,5] => [1,7,5,2,4,6,3] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,4,2,6,1,5,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,2,6,3,1,5] => [1,7,5,3,2,4,6] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,4,2,6,3,5,1] => [1,7,2,4,6,5,3] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,2,6,5,1,3] => [1,7,3,2,4,6,5] => [7,3,1,6,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,3,1,2,5,6] => [1,7,6,5,2,4,3] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,4,3,1,6,2,5] => [1,7,5,6,2,4,3] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,3,2,1,5,6] => [1,7,6,5,2,4,3] => [7,1,6,5,4,2,3] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,4,3,2,6,1,5] => [1,7,5,6,2,4,3] => [7,1,5,2,6,4,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,3,5,1,2,6] => [1,7,6,2,4,5,3] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,3,5,2,1,6] => [1,7,6,2,4,5,3] => [7,1,2,6,4,5,3] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,3,5,6,1,2] => [1,7,2,4,5,6,3] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,3,5,6,2,1] => [1,7,2,4,5,6,3] => [4,1,2,7,5,6,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,3,6,1,2,5] => [1,7,5,2,4,6,3] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,4,3,6,1,5,2] => [1,7,2,4,6,5,3] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,3,6,2,1,5] => [1,7,5,2,4,6,3] => [5,1,7,4,2,6,3] => ([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,4,3,6,2,5,1] => [1,7,2,4,6,5,3] => [7,6,1,2,4,5,3] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,4,6,1,3,2,5] => [1,7,5,3,6,2,4] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,6,1,3,5,2] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,1,5,3,2] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,2,3,1,5] => [1,7,5,3,6,2,4] => [3,5,7,1,2,6,4] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1

[7,4,6,2,3,5,1] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,2,5,3,1] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,3,1,5,2] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,3,2,5,1] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,3,5,1,2] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,4,6,3,5,2,1] => [1,7,2,4,3,6,5] => [7,1,6,4,2,3,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,2,3,4,6] => [1,7,6,4,2,5,3] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,1,2,3,6,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,1,2,4,3,6] => [1,7,6,3,2,5,4] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,1,2,4,6,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,2,6,3,4] => [1,7,4,2,5,6,3] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[7,5,1,2,6,4,3] => [1,7,3,2,5,6,4] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,1,3,2,4,6] => [1,7,6,4,3,2,5] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,1,3,2,6,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,1,3,4,2,6] => [1,7,6,2,5,4,3] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,1,3,4,6,2] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,1,3,6,2,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,1,3,6,4,2] => [1,7,2,5,6,4,3] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,4,2,3,6] => [1,7,6,3,2,5,4] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,1,4,2,6,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,4,6,2,3] => [1,7,3,2,5,6,4] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,1,6,2,3,4] => [1,7,4,6,3,2,5] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,6,2,4,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,6,3,2,4] => [1,7,4,6,2,5,3] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,6,4,2,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,1,6,4,3,2] => [1,7,2,5,4,6,3] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,1,3,4,6] => [1,7,6,4,2,5,3] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,2,1,3,6,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,2,1,4,3,6] => [1,7,6,3,2,5,4] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,2,1,4,6,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,1,6,3,4] => [1,7,4,2,5,6,3] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[7,5,2,1,6,4,3] => [1,7,3,2,5,6,4] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,2,3,1,4,6] => [1,7,6,4,3,2,5] => [4,7,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,2,3,1,6,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,2,3,4,1,6] => [1,7,6,2,5,4,3] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,2,3,4,6,1] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,2,3,6,1,4] => [1,7,4,3,2,5,6] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,2,3,6,4,1] => [1,7,2,5,6,4,3] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,4,1,3,6] => [1,7,6,3,2,5,4] => [7,3,6,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,2,4,1,6,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,4,6,1,3] => [1,7,3,2,5,6,4] => [7,3,1,5,2,6,4] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => 1

[7,5,2,6,1,3,4] => [1,7,4,6,3,2,5] => [4,7,1,3,6,2,5] => ([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,6,1,4,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,6,3,1,4] => [1,7,4,6,2,5,3] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,6,4,1,3] => [1,7,3,2,5,4,6] => [3,7,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,2,6,4,3,1] => [1,7,2,5,4,6,3] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,1,2,4,6] => [1,7,6,4,2,5,3] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,3,1,2,6,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,3,1,4,2,6] => [1,7,6,2,5,4,3] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,3,1,4,6,2] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,3,1,6,2,4] => [1,7,4,2,5,6,3] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[7,5,3,1,6,4,2] => [1,7,2,5,6,4,3] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,2,1,4,6] => [1,7,6,4,2,5,3] => [4,7,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,3,2,1,6,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,3,2,4,1,6] => [1,7,6,2,5,4,3] => [7,6,1,5,4,2,3] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,3,2,4,6,1] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,3,2,6,1,4] => [1,7,4,2,5,6,3] => [4,7,1,5,2,6,3] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => 1

[7,5,3,2,6,4,1] => [1,7,2,5,6,4,3] => [7,5,1,2,6,4,3] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,6,1,2,4] => [1,7,4,6,2,5,3] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,6,2,1,4] => [1,7,4,6,2,5,3] => [7,1,4,6,2,5,3] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,6,4,1,2] => [1,7,2,5,4,6,3] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,3,6,4,2,1] => [1,7,2,5,4,6,3] => [7,1,5,4,2,6,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,5,4,6,1,2,3] => [1,7,3,4,6,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => 1

[7,5,4,6,2,1,3] => [1,7,3,4,6,2,5] => [3,1,4,7,2,6,5] => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => 1

[7,5,6,1,2,3,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,1,3,2,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,1,3,4,2] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,1,4,2,3] => [1,7,3,6,2,5,4] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,6,1,4,3,2] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,6,2,1,3,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,2,3,1,4] => [1,7,4,2,5,3,6] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,2,3,4,1] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,2,4,1,3] => [1,7,3,6,2,5,4] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,6,2,4,3,1] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,6,3,1,2,4] => [1,7,4,3,6,2,5] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,6,3,1,4,2] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,3,2,1,4] => [1,7,4,3,6,2,5] => [4,3,7,1,2,6,5] => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1

[7,5,6,3,2,4,1] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,3,4,1,2] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,6,3,4,2,1] => [1,7,2,5,4,3,6] => [5,7,1,4,2,3,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,5,6,4,1,2,3] => [1,7,3,6,2,5,4] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,6,4,1,3,2] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,4,2,1,3] => [1,7,3,6,2,5,4] => [7,1,6,3,2,5,4] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,5,6,4,2,3,1] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,4,3,1,2] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,5,6,4,3,2,1] => [1,7,2,5,3,6,4] => [7,1,5,6,2,3,4] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,6,1,2,3,4,5] => [1,7,5,3,2,6,4] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,2,3,5,4] => [1,7,4,2,6,5,3] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,1,2,4,3,5] => [1,7,5,4,2,6,3] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,2,4,5,3] => [1,7,3,2,6,5,4] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,2,5,3,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,1,2,5,4,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,3,2,4,5] => [1,7,5,2,6,4,3] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,1,3,2,5,4] => [1,7,4,3,2,6,5] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,3,4,2,5] => [1,7,5,4,3,2,6] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,3,4,5,2] => [1,7,2,6,5,4,3] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,1,3,5,2,4] => [1,7,4,3,2,6,5] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,4,2,5,3] => [1,7,3,2,6,5,4] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,4,3,2,5] => [1,7,5,3,2,6,4] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[7,6,1,4,5,2,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,5,2,3,4] => [1,7,4,5,2,6,3] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,6,1,5,2,4,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,5,3,2,4] => [1,7,4,5,3,2,6] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,5,3,4,2] => [1,7,2,6,4,5,3] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,1,5,4,2,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,1,3,4,5] => [1,7,5,3,2,6,4] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,1,3,5,4] => [1,7,4,2,6,5,3] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,2,1,4,3,5] => [1,7,5,4,2,6,3] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,1,4,5,3] => [1,7,3,2,6,5,4] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,1,5,3,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,2,1,5,4,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,3,1,4,5] => [1,7,5,2,6,4,3] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,2,3,1,5,4] => [1,7,4,3,2,6,5] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,3,4,1,5] => [1,7,5,4,3,2,6] => [5,7,4,3,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,3,4,5,1] => [1,7,2,6,5,4,3] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,2,3,5,1,4] => [1,7,4,3,2,6,5] => [7,4,6,3,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,4,1,5,3] => [1,7,3,2,6,5,4] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,4,3,1,5] => [1,7,5,3,2,6,4] => [5,7,6,3,1,2,4] => ([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 2

[7,6,2,4,5,1,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,5,1,3,4] => [1,7,4,5,2,6,3] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,6,2,5,1,4,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,5,3,1,4] => [1,7,4,5,3,2,6] => [4,7,1,5,3,2,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,5,3,4,1] => [1,7,2,6,4,5,3] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,2,5,4,1,3] => [1,7,3,2,6,4,5] => [3,7,1,6,2,4,5] => ([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => 1

[7,6,3,1,2,4,5] => [1,7,5,2,6,4,3] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,1,2,5,4] => [1,7,4,2,6,5,3] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,1,4,2,5] => [1,7,5,4,2,6,3] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,3,1,4,5,2] => [1,7,2,6,5,4,3] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,1,5,2,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,3,2,1,4,5] => [1,7,5,2,6,4,3] => [5,7,6,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,2,1,5,4] => [1,7,4,2,6,5,3] => [7,4,6,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,2,4,1,5] => [1,7,5,4,2,6,3] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 2

[7,6,3,2,4,5,1] => [1,7,2,6,5,4,3] => [7,6,5,1,4,2,3] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3

[7,6,3,2,5,1,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,3,5,1,2,4] => [1,7,4,5,2,6,3] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,6,3,5,1,4,2] => [1,7,2,6,4,5,3] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,3,5,2,1,4] => [1,7,4,5,2,6,3] => [7,1,4,5,6,2,3] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => 2

[7,6,3,5,2,4,1] => [1,7,2,6,4,5,3] => [7,1,6,2,4,5,3] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,1,2,5,3] => [1,7,3,4,2,6,5] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,1,5,2,3] => [1,7,3,4,2,6,5] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,2,1,5,3] => [1,7,3,4,2,6,5] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,2,5,1,3] => [1,7,3,4,2,6,5] => [7,1,6,3,4,2,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,4,5,2,1,3] => [1,7,3,4,5,2,6] => [3,1,4,7,5,2,6] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,1,2,3,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,5,1,2,4,3] => [1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,1,3,2,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,5,1,4,2,3] => [1,7,3,5,4,2,6] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,6,5,1,4,3,2] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,2,1,3,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,5,2,1,4,3] => [1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,2,3,1,4] => [1,7,4,2,6,3,5] => [4,1,7,6,2,3,5] => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => 1

[7,6,5,2,4,1,3] => [1,7,3,5,4,2,6] => [5,7,1,3,4,2,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => 1

[7,6,5,2,4,3,1] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,3,1,2,4] => [1,7,4,3,5,2,6] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[7,6,5,3,2,1,4] => [1,7,4,3,5,2,6] => [4,3,7,1,5,2,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => 1

[7,6,5,3,4,1,2] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,3,4,2,1] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,1,2,3] => [1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,1,3,2] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,2,1,3] => [1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,2,3,1] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,3,1,2] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

[7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 1

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

$F_{1} = q$

Description

The largest multiplicity of a distance Laplacian eigenvalue in a connected graph.
The distance Laplacian of a graph is the (symmetric) matrix with row and column sums

$0$ , which has the negative distances between two vertices as its off-diagonal entries. This statistic is the largest multiplicity of an eigenvalue.
For example, the cycle on four vertices has distance Laplacian

$\left(\begin{array}{rrrr} 4 & -1 & -2 & -1 \\ -1 & 4 & -1 & -2 \\ -2 & -1 & 4 & -1 \\ -1 & -2 & -1 & 4 \end{array}\right).$
Its eigenvalues are

$0,4,4,6$ , so the statistic is

$2$ .
The path on four vertices has eigenvalues

$0, 4.7\dots, 6, 9.2\dots$ and therefore statistic

$1$ .

Map

cycle-as-one-line notation

Description

Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.

Map

graph of inversions

Description

The graph of inversions of a permutation.
For a permutation of

$\{1,\dots,n\}$ , this is the graph with vertices

$\{1,\dots,n\}$ , where

$(i,j)$ is an edge if and only if it is an inversion of the permutation.

Map

Foata bijection

Description

Sends a permutation to its image under the Foata bijection.
The Foata bijection

$\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word

$w_1 w_2 ... w_n$ , compute the image inductively by starting with

$\phi(w_1) = w_1$ .
At the

$i$ -th step, if

$\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$ , define

$\phi(w_1 w_2 ... w_i w_{i+1})$ by placing

$w_{i+1}$ on the end of the word

$v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.

If $w_{i+1} \geq v_i$ , place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$ .
If $w_{i+1} < v_i$ , place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$ .

In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute

$\phi([1,4,2,5,3])$ , the sequence of words is

$1$
$|1|4 \to 14$
$|14|2 \to 412$
$|4|1|2|5 \to 4125$
$|4|125|3 \to 45123.$

In total, this gives

$\phi([1,4,2,5,3]) = [4,5,1,2,3]$ .
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).