- FindStat

Identifier

Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00037: Graphs —to partition of connected components⟶ Integer partitions
St000480: Integer partitions ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 9812 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,2,4,5] => [1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,2,5,4] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,4,2,5] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,4,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,5,2,4] => [1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,1,5,4,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,1,4,5] => [1,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,1,5,4] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,4,1,5] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,5,1,4] => [1,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,1,2,5] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,1,5,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,2,1,5] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,2,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,5,1,2] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,4,5,2,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,1,2,4] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,1,4,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,2,1,4] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,2,4,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,4,1,2] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,3,5,4,2,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,2,3,5] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,2,5,3] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,3,2,5] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,3,5,2] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,5,2,3] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,1,5,3,2] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,1,3,5] => [1,6,5,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,1,5,3] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,3,1,5] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,3,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,5,1,3] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,2,5,3,1] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,1,2,5] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,1,5,2] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,2,1,5] => [1,6,5,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,5,1,2] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,3,5,2,1] => [1,6,2,4,5,3] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,1,2,3] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,1,3,2] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,2,1,3] => [1,6,3,5,2,4] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,3,1,2] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,4,5,3,2,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,2,3,4] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,2,4,3] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,3,2,4] => [1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,3,4,2] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,4,2,3] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,5,1,4,3,2] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,1,3,4] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,1,4,3] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,3,1,4] => [1,6,4,3,2,5] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,3,4,1] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,4,1,3] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => 1

[6,5,2,4,3,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,1,2,4] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,1,4,2] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,2,1,4] => [1,6,4,2,5,3] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,2,4,1] => [1,6,2,5,4,3] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,4,1,2] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,1,2,3] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,1,3,2] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,2,1,3] => [1,6,3,4,2,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,2,3,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,3,1,2] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => 1

[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,7,3,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,7,5,3,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,7,6,3,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,3,7,4,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,3,7,6,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,4,7,3,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,5,7,3,4,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,2,5,7,3,6,4] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,2,5,7,4,3,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,2,5,7,4,6,3] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,2,5,7,6,3,4] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,3,4,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,3,5,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,3,5,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,3,7,5,4] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,4,3,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,4,3,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,4,5,3,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,4,5,7,3] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,2,6,4,7,3,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,4,7,5,3] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,5,3,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,5,3,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,2,6,5,7,3,4] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,7,3,4,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,7,3,5,4] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,7,4,3,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,7,4,5,3] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,2,6,7,5,3,4] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,4,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,5,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,5,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,6,4,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,3,6,5,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,3,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,3,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,5,3,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,5,6,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,6,3,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,4,6,5,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,3,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,3,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,4,3,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,4,6,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,6,3,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,5,6,4,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,3,4,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,3,5,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,4,3,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,4,5,3] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,5,3,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,7,4,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,7,5,4,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,7,6,4,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,7,2,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,7,5,2,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,7,6,2,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,2,6,4,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,2,7,4,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,2,7,6,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,4,7,2,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,5,7,2,4,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,3,5,7,2,6,4] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,3,5,7,4,2,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,3,5,7,4,6,2] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,3,5,7,6,2,4] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,2,4,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,2,4,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,2,5,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,2,5,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,3,6,2,7,4,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,2,7,5,4] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,4,2,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,4,2,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,4,5,2,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,4,5,7,2] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,3,6,4,7,2,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,4,7,5,2] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,5,2,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,5,2,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,3,6,5,7,2,4] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,7,2,5,4] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,7,4,2,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,7,4,5,2] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,3,6,7,5,2,4] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,4,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,4,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,5,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,5,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,6,4,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,2,6,5,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,2,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,2,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,5,2,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,5,6,2] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,6,2,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,4,6,5,2] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,2,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,2,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,4,2,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,4,6,2] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,6,2,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,5,6,4,2] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,2,4,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,2,5,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,4,2,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,4,5,2] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,5,2,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,2,3,6,7,5] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,2,3,7,6,5] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,2,5,3,7,6] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,2,5,6,3,7] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,5,7,3,6] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,5,7,6,3] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,2,6,3,5,7] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,2,6,3,7,5] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,6,5,3,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,2,6,5,7,3] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,6,7,3,5] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,2,6,7,5,3] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,3,5,6] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,3,6,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,5,3,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,5,6,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,6,3,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,2,7,6,5,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,3,2,7,5,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,5,7,2,6] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,3,6,2,5,7] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,3,6,2,7,5] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,6,7,2,5] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,2,5,6] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,2,6,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,5,2,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,5,6,2] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,6,2,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,5,2,3,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,2,3,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,2,6,3,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,2,6,7,3] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,2,7,3,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,5,2,7,6,3] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[1,4,5,3,7,2,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,5,6,2,7,3] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,5,6,7,2,3] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,4,5,7,2,3,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,5,7,2,6,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,5,7,3,2,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,5,7,3,6,2] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,5,7,6,2,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,6,2,3,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,2,3,7,5] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,6,2,5,3,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,2,5,7,3] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,6,2,7,3,5] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,2,7,5,3] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,3,2,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,3,2,7,5] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,6,3,5,2,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,3,5,7,2] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,6,3,7,2,5] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,3,7,5,2] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[1,4,6,5,2,3,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,6,5,2,7,3] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,4,6,5,7,2,3] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,2,3,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,2,5,3] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,3,2,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,3,5,2] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,5,2,3] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,4,7,2,3,5,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,2,3,6,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,2,5,3,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,2,5,6,3] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,2,6,3,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,2,6,5,3] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,2,5,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,2,6,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,5,2,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,5,6,2] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,6,2,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,3,6,5,2] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,5,2,3,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,5,2,6,3] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,5,3,2,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,5,3,6,2] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,4,7,5,6,2,3] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,7,5,6,3,2] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,7,6,2,3,5] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,4,7,6,2,5,3] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,7,6,3,2,5] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,4,7,6,3,5,2] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,4,7,6,5,2,3] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,2,3,6,7,4] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,3,7,6,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,4,3,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,4,3,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,4,6,3,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,2,4,6,7,3] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,2,4,7,3,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,2,4,7,6,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,2,6,4,3,7] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,2,6,4,7,3] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,6,7,3,4] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,6,7,4,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,7,3,4,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,2,7,3,6,4] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,2,7,4,3,6] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,7,4,6,3] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,2,7,6,3,4] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,2,7,6,4,3] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,2,4,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,2,4,7,6] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,2,6,4,7] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,3,2,6,7,4] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,2,7,4,6] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,2,7,6,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,4,2,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,4,2,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,4,6,2,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,3,4,6,7,2] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,3,4,7,2,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,3,4,7,6,2] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,6,2,4,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,6,2,7,4] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,3,6,4,2,7] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,3,6,4,7,2] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,6,7,2,4] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,6,7,4,2] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,7,2,4,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,3,7,2,6,4] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,3,7,4,2,6] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,7,4,6,2] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,3,7,6,2,4] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,3,7,6,4,2] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,4,2,3,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,2,3,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,2,6,3,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,4,2,6,7,3] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,4,2,7,3,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,4,2,7,6,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,4,3,7,2,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,4,6,2,3,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,6,2,7,3] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,4,6,7,2,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,4,7,2,3,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,4,7,2,6,3] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,4,7,3,2,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,4,7,3,6,2] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,4,7,6,2,3] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,2,3,7,4] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,5,6,2,4,3,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,6,2,4,7,3] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,6,2,7,3,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,2,7,4,3] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,3,2,4,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,3,2,7,4] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,5,6,3,4,2,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,6,3,4,7,2] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[1,5,6,3,7,2,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,3,7,4,2] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,4,2,3,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,4,2,7,3] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,5,6,4,7,2,3] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,7,2,4,3] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,7,3,2,4] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,7,3,4,2] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[1,5,6,7,4,2,3] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,2,3,4,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,2,3,6,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,2,4,3,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,7,2,4,6,3] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,7,2,6,3,4] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,2,6,4,3] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,7,3,2,4,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,3,2,6,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,3,4,2,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,7,3,4,6,2] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[1,5,7,3,6,2,4] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,3,6,4,2] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,7,4,2,3,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,4,2,6,3] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,4,3,2,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,4,3,6,2] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,4,6,2,3] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,4,6,3,2] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,5,7,6,2,3,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,6,2,4,3] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,6,3,2,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,6,3,4,2] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[1,5,7,6,4,2,3] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,3,4,7,5] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,3,5,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,3,5,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,3,7,5,4] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,4,3,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,4,3,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,4,5,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,4,5,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,2,4,7,3,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,4,7,5,3] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,2,5,3,4,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,5,3,7,4] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,5,4,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,5,4,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,2,5,7,3,4] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,5,7,4,3] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,7,3,4,5] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,7,3,5,4] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,2,7,4,5,3] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,2,7,5,4,3] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,2,4,5,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,2,4,7,5] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,2,5,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,2,5,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,3,2,7,4,5] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,2,7,5,4] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,4,2,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,4,2,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,4,5,2,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,4,5,7,2] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,3,4,7,2,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,4,7,5,2] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,3,5,2,4,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,5,2,7,4] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,5,4,2,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,5,4,7,2] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,3,5,7,2,4] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,5,7,4,2] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,7,2,4,5] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,7,2,5,4] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,3,7,4,2,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,3,7,4,5,2] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,3,7,5,4,2] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,4,2,3,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,2,3,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,4,2,5,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,2,5,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,2,7,3,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,2,7,5,3] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,3,2,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,3,2,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,4,3,5,2,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,3,5,7,2] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,3,7,2,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,3,7,5,2] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,5,2,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,5,2,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,5,3,2,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,5,3,7,2] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,4,5,7,2,3] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,5,7,3,2] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,7,2,3,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,4,7,2,5,3] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,7,3,2,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,4,7,3,5,2] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,4,7,5,3,2] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[1,6,5,2,3,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,2,3,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,2,4,3,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,2,4,7,3] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,2,7,3,4] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,2,7,4,3] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,3,2,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,3,2,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,3,4,2,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,3,4,7,2] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,3,7,2,4] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,3,7,4,2] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,4,2,3,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,4,2,7,3] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[1,6,5,4,7,2,3] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,7,2,3,4] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,7,2,4,3] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,7,3,2,4] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,7,3,4,2] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,5,7,4,2,3] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,7,2,3,4,5] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,2,3,5,4] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,2,4,3,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,2,4,5,3] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,7,2,5,3,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,2,5,4,3] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,3,2,4,5] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,3,2,5,4] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,3,4,2,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,3,4,5,2] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,7,3,5,2,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,3,5,4,2] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,2,3,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,2,5,3] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,3,2,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,3,5,2] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,5,2,3] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,4,5,3,2] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,5,2,3,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,5,2,4,3] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,7,5,3,2,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,5,3,4,2] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[1,6,7,5,4,2,3] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,4,6,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,5,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,5,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,6,4,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,3,6,5,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,3,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,3,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,5,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,5,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,6,3,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,4,6,5,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,3,4,6] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,3,6,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,4,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,4,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,6,3,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,5,6,4,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,3,4,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,3,5,4] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,4,3,5] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,4,5,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,5,3,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,2,6,5,4,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,4,5,6] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,4,6,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,5,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,5,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,6,4,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,2,6,5,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,2,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,2,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,5,2,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,6,2,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,2,4,6] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,2,6,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,4,2,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,6,2,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,2,4,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,2,5,4] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,4,2,5] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,4,5,2] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,5,2,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,3,6,5,4,2] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,3,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,3,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,5,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,5,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,6,3,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,2,6,5,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,2,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,2,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,5,2,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,6,2,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,2,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,2,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,3,2,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,6,2,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,2,3,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,2,5,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,3,2,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,3,5,2] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,5,2,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,4,6,5,3,2] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,3,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,3,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,4,3,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,4,6,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,6,3,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,2,6,4,3] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,2,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,2,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,4,2,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,4,6,2] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,6,2,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,3,6,4,2] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,2,3,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,2,6,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,3,2,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,3,6,2] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,6,2,3] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,4,6,3,2] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,2,3,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,2,4,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,3,2,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,3,4,2] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,4,2,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,5,6,4,3,2] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,3,4,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,3,5,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,4,3,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,4,5,3] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,5,3,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,2,5,4,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,2,4,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,2,5,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,4,2,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,4,5,2] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,5,2,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,3,5,4,2] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,2,3,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,2,5,3] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,3,2,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,3,5,2] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,5,2,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,4,5,3,2] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,2,3,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,2,4,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,3,2,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,3,4,2] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,4,2,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,7,4,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,7,5,4,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,7,6,4,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,7,3,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,7,5,3,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,7,6,3,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,3,6,4,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,3,7,4,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,3,7,6,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,4,7,3,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,1,5,6,7,3,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,5,7,3,4,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,1,5,7,3,6,4] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,1,5,7,4,3,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,1,5,7,4,6,3] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,1,5,7,6,3,4] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,3,4,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,3,5,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,3,5,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,1,6,3,7,4,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,3,7,5,4] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,4,3,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,4,3,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,4,5,3,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,4,5,7,3] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,1,6,4,7,3,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,4,7,5,3] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,5,3,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,5,3,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,1,6,5,7,3,4] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,7,3,5,4] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,7,4,5,3] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,4,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,5,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,5,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,6,4,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,3,6,5,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,3,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,3,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,5,3,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,5,6,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,6,3,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,4,6,5,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,3,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,3,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,4,3,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,4,6,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,6,3,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,5,6,4,3] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,3,4,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,3,5,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,4,3,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,4,5,3] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,5,3,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,7,4,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,7,5,4,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,7,6,4,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => ([],7) => [1,1,1,1,1,1,1] => 0

[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,7,1,6,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,7,5,1,6] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,1,6,4,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,1,7,6,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,4,7,1,6] => [1,2,3,5,7,6,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,5,7,1,4,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,3,5,7,1,6,4] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,3,5,7,4,1,6] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,3,5,7,4,6,1] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,3,5,7,6,1,4] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,1,4,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,1,4,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,1,5,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,1,5,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,3,6,1,7,4,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,1,7,5,4] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,4,1,5,7] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,4,1,7,5] => [1,2,3,6,7,5,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,4,5,1,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,4,5,7,1] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,3,6,4,7,1,5] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,4,7,5,1] => [1,2,3,6,5,7,4] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,5,1,4,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,5,1,7,4] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,3,6,5,7,1,4] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,7,1,4,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,7,1,5,4] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,7,4,1,5] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,7,4,5,1] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,3,6,7,5,1,4] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,4,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,4,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,5,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,5,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,6,4,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,1,6,5,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,1,5,6] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,1,6,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,5,1,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,6,1,5] => [1,2,3,7,5,6,4] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,4,6,5,1] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,1,4,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,1,6,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,4,1,6] => [1,2,3,7,6,4,5] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,4,6,1] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,6,1,4] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,1,4,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,1,5,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,4,1,5] => [1,2,3,7,5,4,6] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,4,5,1] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,5,1,4] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,1,3,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,1,3,5,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,1,3,6,5,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,1,3,6,7,5] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,1,3,7,5,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,1,3,7,6,5] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,1,5,3,6,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,1,5,3,7,6] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,1,5,6,3,7] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,5,7,6,3] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,1,6,3,5,7] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,1,6,3,7,5] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,6,5,3,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,1,6,5,7,3] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,6,7,3,5] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,1,6,7,5,3] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,3,5,6] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,3,6,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,5,3,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,5,6,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,6,3,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,1,7,6,5,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,3,1,7,5,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,5,7,1,6] => [1,2,4,5,7,6,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,3,6,1,5,7] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,3,6,1,7,5] => [1,2,4,6,7,5,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,6,7,1,5] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,1,5,6] => [1,2,4,7,6,5,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,1,6,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,5,1,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,5,6,1] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,6,1,5] => [1,2,4,7,5,6,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,5,1,3,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,1,3,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,1,6,3,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,1,6,7,3] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,1,7,3,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,5,1,7,6,3] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[2,4,5,3,7,1,6] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,5,6,1,7,3] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,5,6,7,1,3] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,4,5,7,1,3,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,5,7,1,6,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,5,7,3,1,6] => [1,2,4,7,6,3,5] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,5,7,3,6,1] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,5,7,6,1,3] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,6,1,3,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,1,3,7,5] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,6,1,5,3,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,1,5,7,3] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,6,1,7,3,5] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,1,7,5,3] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,3,1,5,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,3,1,7,5] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,6,3,5,1,7] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,3,5,7,1] => [1,2,4,3,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,6,3,7,1,5] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,3,7,5,1] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[2,4,6,5,1,3,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,6,5,1,7,3] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,4,6,5,7,1,3] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,1,3,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,1,5,3] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,3,1,5] => [1,2,4,7,5,3,6] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,3,5,1] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,5,1,3] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,4,7,1,3,5,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,1,3,6,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,1,5,3,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,1,5,6,3] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,1,6,3,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,1,6,5,3] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,1,5,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,1,6,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,5,1,6] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,5,6,1] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,6,1,5] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,3,6,5,1] => [1,2,4,3,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,5,1,3,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,5,1,6,3] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,5,3,1,6] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,5,3,6,1] => [1,2,4,5,3,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,4,7,5,6,1,3] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,7,5,6,3,1] => [1,2,4,5,6,3,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,7,6,1,3,5] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,4,7,6,1,5,3] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,7,6,3,1,5] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,4,7,6,3,5,1] => [1,2,4,6,5,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,4,7,6,5,1,3] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,1,3,4,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,3,4,7,6] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,3,6,4,7] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,1,3,6,7,4] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,3,7,6,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,4,3,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,4,3,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,4,6,3,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,1,4,6,7,3] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,1,4,7,3,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,1,4,7,6,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,6,3,4,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,6,3,7,4] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,1,6,4,3,7] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,1,6,4,7,3] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,6,7,3,4] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,6,7,4,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,7,3,4,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,1,7,3,6,4] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,1,7,4,3,6] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,7,4,6,3] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,1,7,6,3,4] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,1,7,6,4,3] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,1,4,6,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,1,4,7,6] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,1,6,4,7] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,3,1,6,7,4] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,1,7,4,6] => [1,2,5,7,6,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,1,7,6,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,4,1,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,4,1,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,4,6,1,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,3,4,6,7,1] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,3,4,7,1,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,3,4,7,6,1] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,6,1,4,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,6,1,7,4] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,3,6,4,1,7] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,3,6,4,7,1] => [1,2,5,4,6,7,3] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,6,7,1,4] => [1,2,5,7,4,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,6,7,4,1] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,7,1,4,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,3,7,1,6,4] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,3,7,4,1,6] => [1,2,5,4,7,6,3] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,7,4,6,1] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,3,7,6,1,4] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,3,7,6,4,1] => [1,2,5,6,4,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,4,1,3,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,1,3,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,1,6,3,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,4,1,6,7,3] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,4,1,7,3,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,4,1,7,6,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,4,3,7,1,6] => [1,2,5,7,6,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,4,6,1,3,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,6,1,7,3] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,4,6,7,1,3] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,4,7,1,3,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,4,7,1,6,3] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,4,7,3,1,6] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,4,7,3,6,1] => [1,2,5,3,4,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,4,7,6,1,3] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,1,3,7,4] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,5,6,1,4,3,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,6,1,4,7,3] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,6,1,7,3,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,1,7,4,3] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,3,1,4,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,3,1,7,4] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,5,6,3,4,1,7] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,6,3,4,7,1] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[2,5,6,3,7,1,4] => [1,2,5,7,4,3,6] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,3,7,4,1] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,4,1,3,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,4,1,7,3] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,5,6,4,7,1,3] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,7,1,4,3] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,7,3,1,4] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,7,3,4,1] => [1,2,5,3,6,4,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[2,5,6,7,4,1,3] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,1,3,4,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,1,3,6,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,1,4,3,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,7,1,4,6,3] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,7,1,6,3,4] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,1,6,4,3] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,7,3,1,4,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,3,1,6,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,3,4,1,6] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,7,3,4,6,1] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[2,5,7,3,6,1,4] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,3,6,4,1] => [1,2,5,6,4,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,7,4,1,3,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,4,1,6,3] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,4,3,1,6] => [1,2,5,3,7,6,4] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,4,3,6,1] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,4,6,1,3] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,4,6,3,1] => [1,2,5,6,3,7,4] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,5,7,6,1,3,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,6,1,4,3] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,6,3,1,4] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,6,3,4,1] => [1,2,5,3,7,4,6] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[2,5,7,6,4,1,3] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,3,4,5,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,3,5,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,3,5,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,1,3,7,4,5] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,3,7,5,4] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,4,3,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,4,3,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,4,5,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,4,5,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,1,4,7,3,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,4,7,5,3] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,1,5,3,4,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,5,3,7,4] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,5,4,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,5,4,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,1,5,7,3,4] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,5,7,4,3] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,7,3,4,5] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,7,3,5,4] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,1,7,4,3,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,1,7,4,5,3] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,1,7,5,3,4] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,1,7,5,4,3] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,1,4,5,7] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,1,4,7,5] => [1,2,6,7,5,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,1,5,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,1,5,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,3,1,7,4,5] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,1,7,5,4] => [1,2,6,5,7,4,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,4,1,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,4,1,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,4,5,1,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,4,5,7,1] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,3,4,7,1,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,4,7,5,1] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,3,5,1,4,7] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,5,1,7,4] => [1,2,6,7,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,5,4,1,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,5,4,7,1] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,3,5,7,1,4] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,5,7,4,1] => [1,2,6,4,5,7,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,7,1,4,5] => [1,2,6,4,7,5,3] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,7,1,5,4] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,3,7,4,1,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,3,7,4,5,1] => [1,2,6,5,4,7,3] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,3,7,5,4,1] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,4,1,3,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,1,3,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,4,1,5,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,1,5,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,1,7,3,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,1,7,5,3] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,3,1,5,7] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,3,1,7,5] => [1,2,6,7,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,4,3,5,1,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,3,5,7,1] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,3,7,1,5] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,3,7,5,1] => [1,2,6,5,7,3,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,5,1,3,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,5,1,7,3] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,5,3,1,7] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,5,3,7,1] => [1,2,6,7,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,4,5,7,1,3] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,4,7,1,5,3] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,7,3,1,5] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,4,7,3,5,1] => [1,2,6,5,3,4,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,4,7,5,1,3] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[2,6,5,1,3,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,1,3,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,1,4,3,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,1,4,7,3] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,1,7,3,4] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,1,7,4,3] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,3,1,4,7] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,3,1,7,4] => [1,2,6,7,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,3,4,1,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,3,4,7,1] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,3,7,1,4] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,3,7,4,1] => [1,2,6,4,3,5,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,4,1,3,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,4,1,7,3] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[2,6,5,4,7,1,3] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,7,1,3,4] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,7,1,4,3] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,7,3,1,4] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,7,3,4,1] => [1,2,6,4,7,3,5] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,5,7,4,1,3] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,1,3,5,4] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,1,4,3,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,1,4,5,3] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,7,1,5,3,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,1,5,4,3] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,3,1,4,5] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,3,1,5,4] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,3,4,1,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,3,4,5,1] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,7,3,5,1,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,3,5,4,1] => [1,2,6,4,3,7,5] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,1,3,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,1,5,3] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,3,1,5] => [1,2,6,3,7,5,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,3,5,1] => [1,2,6,5,3,7,4] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,5,1,3] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,4,5,3,1] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,5,1,3,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,5,1,4,3] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,7,5,3,1,4] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,5,3,4,1] => [1,2,6,4,5,3,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[2,6,7,5,4,1,3] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,4,6,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,5,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,5,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,6,4,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,3,6,5,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,3,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,3,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,5,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,5,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,6,3,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,4,6,5,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,3,4,6] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,3,6,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,4,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,4,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,6,3,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,5,6,4,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,3,4,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,3,5,4] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,4,3,5] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,4,5,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,5,3,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,1,6,5,4,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,4,5,6] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,4,6,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,5,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,5,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,6,4,5] => [1,2,7,5,6,4,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,1,6,5,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,1,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,1,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,5,1,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,6,1,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,1,4,6] => [1,2,7,6,4,5,3] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,1,6,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,4,1,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,6,1,4] => [1,2,7,4,5,6,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,1,4,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,1,5,4] => [1,2,7,4,6,5,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,4,1,5] => [1,2,7,5,4,6,3] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,4,5,1] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,5,1,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,3,6,5,4,1] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,3,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,3,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,5,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,5,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,6,3,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,1,6,5,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,1,5,6] => [1,2,7,6,5,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,1,6,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,5,1,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,6,1,5] => [1,2,7,5,6,3,4] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,1,3,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,1,6,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,3,1,6] => [1,2,7,6,3,4,5] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,1,3,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,1,5,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,3,1,5] => [1,2,7,5,3,4,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,3,5,1] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,5,1,3] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,3,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,3,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,4,3,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,4,6,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,1,6,4,3] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,1,4,6] => [1,2,7,6,4,3,5] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,1,6,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,4,1,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,4,6,1] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,6,1,4] => [1,2,7,4,3,5,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,3,6,4,1] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,1,3,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,1,6,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,3,1,6] => [1,2,7,6,3,5,4] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,3,6,1] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,6,1,3] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,4,6,3,1] => [1,2,7,3,5,6,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,1,3,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,1,4,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,3,1,4] => [1,2,7,4,6,3,5] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,3,4,1] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,4,1,3] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,5,6,4,3,1] => [1,2,7,3,5,4,6] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,3,4,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,3,5,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,4,3,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,4,5,3] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,5,3,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,1,5,4,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,1,4,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,1,5,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,4,1,5] => [1,2,7,5,4,3,6] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,4,5,1] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,5,1,4] => [1,2,7,4,3,6,5] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,3,5,4,1] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,1,3,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,1,5,3] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,3,1,5] => [1,2,7,5,3,6,4] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,3,5,1] => [1,2,7,3,6,5,4] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,5,1,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,4,5,3,1] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,1,3,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,1,4,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,3,1,4] => [1,2,7,4,5,3,6] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,3,4,1] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,4,1,3] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,4,7,6,5] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,1,2,5,7,4,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,5,7,6,4] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,6,4,7,5] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,6,5,4,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,6,5,7,4] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,6,7,4,5] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,6,7,5,4] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,7,4,6,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,7,5,4,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,7,5,6,4] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,7,6,4,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,2,7,6,5,4] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,1,4,2,5,7,6] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,1,4,2,6,5,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,1,4,2,6,7,5] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,1,4,2,7,5,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,4,2,7,6,5] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,1,4,5,2,6,7] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,1,4,5,2,7,6] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,1,4,5,6,2,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,5,7,6,2] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,1,4,6,2,5,7] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,6,5,2,7] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,4,6,5,7,2] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,6,7,2,5] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,4,6,7,5,2] => [1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,7,2,6,5] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,7,5,2,6] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,7,5,6,2] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,4,7,6,5,2] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,1,5,2,4,6,7] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,2,4,7,6] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,2,6,4,7] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,2,7,6,4] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,4,2,6,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,4,2,7,6] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,4,6,2,7] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,5,4,6,7,2] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,1,5,4,7,2,6] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,1,5,4,7,6,2] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,6,2,4,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,6,2,7,4] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,1,5,6,4,2,7] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,5,6,4,7,2] => [1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,6,7,2,4] => [1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,6,7,4,2] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,7,2,4,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,1,5,7,2,6,4] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,1,5,7,4,2,6] => [1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,7,4,6,2] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,5,7,6,2,4] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,5,7,6,4,2] => [1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,2,4,5,7] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,2,5,4,7] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,2,5,7,4] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,2,7,4,5] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,2,7,5,4] => [1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,4,2,5,7] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,4,2,7,5] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,4,5,2,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,6,4,5,7,2] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,4,7,2,5] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,6,4,7,5,2] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,1,6,5,2,4,7] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,5,4,2,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,6,5,4,7,2] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,5,7,2,4] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,1,6,5,7,4,2] => [1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,7,2,4,5] => [1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,7,2,5,4] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,1,6,7,4,2,5] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,7,4,5,2] => [1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,7,5,2,4] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,1,6,7,5,4,2] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,4,6,5] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,5,4,6] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,5,6,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,2,6,5,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,4,2,5,6] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,4,2,6,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,4,5,2,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,1,7,4,6,2,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,5,2,6,4] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,5,4,2,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,6,2,5,4] => [1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,6,4,2,5] => [1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,6,4,5,2] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,6,5,2,4] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,1,7,6,5,4,2] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,4,7,5,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,2,1,5,7,4,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,6,4,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,6,4,7,5] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,6,7,4,5] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,2,1,7,4,5,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,7,4,6,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,7,5,4,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,7,5,6,4] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,7,6,4,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,2,4,1,7,5,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,5,7,1,6] => [1,3,4,5,7,6,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,2,4,6,1,5,7] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,4,6,1,7,5] => [1,3,4,6,7,5,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,6,7,1,5] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,7,1,5,6] => [1,3,4,7,6,5,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,7,1,6,5] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,7,5,1,6] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,7,5,6,1] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,2,4,7,6,1,5] => [1,3,4,7,5,6,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,2,5,1,4,6,7] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,1,4,7,6] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,1,6,4,7] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,5,1,6,7,4] => [1,3,5,6,7,4,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,1,7,4,6] => [1,3,5,7,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,1,7,6,4] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,2,5,4,7,1,6] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,6,1,4,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,6,1,7,4] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,6,7,1,4] => [1,3,5,7,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,7,1,4,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,2,5,7,1,6,4] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,2,5,7,4,1,6] => [1,3,5,4,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,7,4,6,1] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,5,7,6,1,4] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,1,4,5,7] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,1,4,7,5] => [1,3,6,7,5,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,1,5,4,7] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,1,5,7,4] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,1,7,4,5] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,1,7,5,4] => [1,3,6,5,7,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,4,1,5,7] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,4,1,7,5] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,4,5,1,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,6,4,5,7,1] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,4,7,1,5] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,6,4,7,5,1] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,2,6,5,1,4,7] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,5,1,7,4] => [1,3,6,7,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,5,7,1,4] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,7,1,4,5] => [1,3,6,4,7,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,7,1,5,4] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,2,6,7,4,1,5] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,7,4,5,1] => [1,3,6,5,4,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,7,5,1,4] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,4,6,5] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,5,4,6] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,5,6,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,6,4,5] => [1,3,7,5,6,4,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,1,6,5,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,4,1,5,6] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,4,1,6,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,4,5,1,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,2,7,4,6,1,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,2,7,5,1,4,6] => [1,3,7,6,4,5,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,5,1,6,4] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,5,4,1,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,2,7,5,6,1,4] => [1,3,7,4,5,6,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,2,7,6,1,4,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,6,1,5,4] => [1,3,7,4,6,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,6,4,1,5] => [1,3,7,5,4,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,6,4,5,1] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,6,5,1,4] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,2,7,5,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,2,7,6,5] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,1,5,7,2,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,5,7,6,2] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,6,2,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,6,2,7,5] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,6,5,2,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,6,5,7,2] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,6,7,2,5] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,6,7,5,2] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,1,7,2,5,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,7,2,6,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,7,5,2,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,7,5,6,2] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,7,6,2,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,1,7,6,5,2] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,1,7,5,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => ([(5,6)],7) => [2,1,1,1,1,1] => 1

[3,4,2,5,7,1,6] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,6,1,5,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,6,1,7,5] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,6,7,1,5] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,4,2,7,1,5,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,7,1,6,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,7,5,1,6] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,7,5,6,1] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,7,6,1,5] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,1,2,7,6] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,1,6,2,7] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,5,1,6,7,2] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,5,1,7,2,6] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,5,1,7,6,2] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,5,2,7,1,6] => [1,3,5,7,6,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,5,6,1,2,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,6,1,7,2] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[3,4,5,6,7,1,2] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,5,7,1,2,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,4,5,7,1,6,2] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,4,5,7,2,1,6] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,4,5,7,2,6,1] => [1,3,5,2,4,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,4,5,7,6,1,2] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,6,1,2,5,7] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,6,1,2,7,5] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,1,5,2,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,1,5,7,2] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,1,7,2,5] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,1,7,5,2] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,6,2,1,5,7] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,6,2,1,7,5] => [1,3,6,7,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,2,5,1,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,2,5,7,1] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,2,7,1,5] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,2,7,5,1] => [1,3,6,5,7,2,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,4,6,5,1,2,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,5,1,7,2] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,5,7,1,2] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,4,6,7,1,2,5] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,7,1,5,2] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,6,7,2,1,5] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,7,2,5,1] => [1,3,6,5,2,4,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,4,6,7,5,1,2] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,1,2,5,6] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,1,2,6,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,1,5,2,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,1,6,2,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,2,1,5,6] => [1,3,7,6,5,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,2,1,6,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,2,5,1,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,2,6,1,5] => [1,3,7,5,6,2,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,5,1,2,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,5,2,1,6] => [1,3,7,6,2,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,4,7,6,1,2,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,6,1,5,2] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,6,2,1,5] => [1,3,7,5,2,4,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,6,2,5,1] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,6,5,1,2] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,2,4,7,6] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,2,6,4,7] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,1,2,6,7,4] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,1,2,7,4,6] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,1,2,7,6,4] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,1,4,2,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,4,2,7,6] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,4,6,2,7] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,1,4,6,7,2] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,1,4,7,2,6] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,1,4,7,6,2] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,1,6,2,4,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,6,2,7,4] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,6,4,2,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,6,4,7,2] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,1,6,7,4,2] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,1,7,2,4,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,1,7,2,6,4] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,1,7,4,2,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,1,7,4,6,2] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,1,7,6,2,4] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,1,7,6,4,2] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,2,1,4,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,1,4,7,6] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,1,6,4,7] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,2,1,6,7,4] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,2,1,7,4,6] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,2,1,7,6,4] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,2,4,1,6,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,4,1,7,6] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,4,6,1,7] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,2,4,6,7,1] => [1,3,2,5,6,7,4] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,2,4,7,1,6] => [1,3,2,5,7,6,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,5,2,4,7,6,1] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,2,6,1,4,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,6,1,7,4] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,6,4,1,7] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,6,4,7,1] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => [2,2,1,1,1] => 1

[3,5,2,6,7,1,4] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,2,6,7,4,1] => [1,3,2,5,7,4,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,5,2,7,1,4,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,2,7,1,6,4] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,2,7,4,1,6] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,2,7,4,6,1] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => 1

[3,5,2,7,6,1,4] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,2,7,6,4,1] => [1,3,2,5,6,4,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,4,1,2,6,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,1,2,7,6] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,1,6,2,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,1,6,7,2] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,1,7,2,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,4,1,7,6,2] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[3,5,4,2,7,1,6] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,5,4,6,1,2,7] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,5,4,6,1,7,2] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,4,6,7,1,2] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[3,5,4,7,1,2,6] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,4,7,1,6,2] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,5,4,7,2,1,6] => [1,3,4,7,6,2,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,4,7,2,6,1] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,5,4,7,6,1,2] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[3,5,6,1,2,4,7] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,1,2,7,4] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,1,4,7,2] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,1,7,2,4] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,1,7,4,2] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,2,1,4,7] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,2,1,7,4] => [1,3,6,7,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,2,4,7,1] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,2,7,1,4] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,2,7,4,1] => [1,3,6,4,2,5,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,4,1,2,7] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,4,1,7,2] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,4,7,1,2] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,7,1,2,4] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,7,1,4,2] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,7,2,1,4] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,7,2,4,1] => [1,3,6,4,7,2,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,6,7,4,1,2] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,5,7,1,2,4,6] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,1,2,6,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,1,4,2,6] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,1,4,6,2] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,1,6,2,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,1,6,4,2] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,1,4,6] => [1,3,7,6,4,2,5] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,1,6,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,4,1,6] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,4,6,1] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,6,1,4] => [1,3,7,4,2,5,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,2,6,4,1] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,1,2,6] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,1,6,2] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,2,1,6] => [1,3,7,6,2,5,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,2,6,1] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,6,1,2] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,4,6,2,1] => [1,3,7,2,5,6,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,1,2,4] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,1,4,2] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,2,1,4] => [1,3,7,4,6,2,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,2,4,1] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,4,1,2] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,1,2,4,5,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,2,4,7,5] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,1,2,5,4,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,2,5,7,4] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,1,2,7,4,5] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,2,7,5,4] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,1,4,2,5,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,4,2,7,5] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,1,4,5,2,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,4,5,7,2] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,1,4,7,2,5] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,4,7,5,2] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,1,5,2,4,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,5,2,7,4] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,1,5,4,2,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,5,4,7,2] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,1,5,7,2,4] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,5,7,4,2] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,7,2,4,5] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,1,7,2,5,4] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,7,4,2,5] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,1,7,4,5,2] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,1,7,5,2,4] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,1,7,5,4,2] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,2,1,4,5,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,1,4,7,5] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,2,1,5,4,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,1,5,7,4] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,2,1,7,4,5] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,1,7,5,4] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,2,4,1,5,7] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,4,1,7,5] => [1,3,2,6,7,5,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,2,4,5,1,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,4,5,7,1] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,2,4,7,1,5] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,4,7,5,1] => [1,3,2,6,5,7,4] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,6,2,5,1,4,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,5,1,7,4] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,2,5,4,1,7] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,5,4,7,1] => [1,3,2,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[3,6,2,5,7,1,4] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,5,7,4,1] => [1,3,2,6,4,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,7,1,4,5] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,2,7,1,5,4] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,7,4,1,5] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,2,7,4,5,1] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,2,7,5,1,4] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,2,7,5,4,1] => [1,3,2,6,4,7,5] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[3,6,4,1,2,5,7] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,1,2,7,5] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,6,4,1,5,2,7] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,1,5,7,2] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,6,4,1,7,2,5] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,1,7,5,2] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,2,1,5,7] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,2,1,7,5] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,6,4,2,5,1,7] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,2,5,7,1] => [1,3,4,2,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,6,4,2,7,1,5] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,2,7,5,1] => [1,3,4,2,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[3,6,4,5,1,2,7] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,4,5,1,7,2] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,4,5,2,1,7] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,4,5,2,7,1] => [1,3,4,5,2,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,4,5,7,1,2] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,6,4,5,7,2,1] => [1,3,4,5,7,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[3,6,4,7,1,2,5] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,4,7,1,5,2] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,4,7,2,1,5] => [1,3,4,7,5,2,6] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,4,7,2,5,1] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,4,7,5,1,2] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,4,7,5,2,1] => [1,3,4,7,2,6,5] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,5,1,2,4,7] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,1,2,7,4] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,6,5,1,4,2,7] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,5,1,4,7,2] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,5,1,7,2,4] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,5,1,7,4,2] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,6,5,2,1,4,7] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,2,1,7,4] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,6,5,2,4,1,7] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,5,2,4,7,1] => [1,3,5,4,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[3,6,5,2,7,1,4] => [1,3,5,7,4,2,6] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,5,2,7,4,1] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,6,5,4,1,2,7] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,4,1,7,2] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,6,5,4,7,1,2] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,6,5,7,1,2,4] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,7,1,4,2] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,7,2,1,4] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,7,2,4,1] => [1,3,5,2,6,4,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[3,6,5,7,4,1,2] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,2,4,5] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,2,5,4] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,4,2,5] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,4,5,2] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,5,2,4] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,1,5,4,2] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,1,4,5] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,1,5,4] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,4,1,5] => [1,3,7,5,4,2,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,4,5,1] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,5,1,4] => [1,3,7,4,2,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,2,5,4,1] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,1,2,5] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,1,5,2] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,2,1,5] => [1,3,7,5,2,6,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,2,5,1] => [1,3,7,2,6,5,4] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,5,1,2] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,4,5,2,1] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,1,2,4] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,1,4,2] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,2,1,4] => [1,3,7,4,5,2,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,2,4,1] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,4,1,2] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,1,2,4,5,6] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,2,4,6,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,2,5,4,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,2,5,6,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,2,6,4,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,2,6,5,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,2,5,6] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,2,6,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,5,2,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,5,6,2] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,6,2,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,4,6,5,2] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,2,4,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,2,6,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,4,2,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,4,6,2] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,6,2,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,5,6,4,2] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,2,4,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,2,5,4] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,4,2,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,4,5,2] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,5,2,4] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,1,6,5,4,2] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,4,5,6] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,4,6,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,5,4,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,5,6,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,6,4,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,1,6,5,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,1,5,6] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,1,6,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,5,1,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,5,6,1] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,6,1,5] => [1,3,2,7,5,6,4] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,4,6,5,1] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,1,4,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,1,6,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,4,1,6] => [1,3,2,7,6,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,4,6,1] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,6,1,4] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,5,6,4,1] => [1,3,2,7,4,5,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,1,4,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,1,5,4] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,4,1,5] => [1,3,2,7,5,4,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,4,5,1] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,5,1,4] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,2,6,5,4,1] => [1,3,2,7,4,6,5] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,4,1,2,5,6] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,1,2,6,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,1,5,2,6] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,1,5,6,2] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,1,6,2,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,1,6,5,2] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,1,5,6] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,1,6,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,5,1,6] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,5,6,1] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,6,1,5] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,2,6,5,1] => [1,3,4,2,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[3,7,4,5,1,2,6] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,4,5,1,6,2] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,4,5,2,1,6] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,4,5,2,6,1] => [1,3,4,5,2,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,4,5,6,1,2] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,4,5,6,2,1] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,4,6,1,2,5] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,7,4,6,1,5,2] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,4,6,2,1,5] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,7,4,6,2,5,1] => [1,3,4,6,5,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,4,6,5,1,2] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,7,4,6,5,2,1] => [1,3,4,6,2,7,5] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[3,7,5,1,2,4,6] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,1,2,6,4] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,1,4,2,6] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,5,1,4,6,2] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,5,1,6,2,4] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,1,6,4,2] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,5,2,1,4,6] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,2,1,6,4] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,2,4,1,6] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,5,2,4,6,1] => [1,3,5,4,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[3,7,5,2,6,1,4] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,2,6,4,1] => [1,3,5,6,4,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,5,4,1,2,6] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,4,1,6,2] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,4,2,1,6] => [1,3,5,2,7,6,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,4,2,6,1] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,4,6,1,2] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,4,6,2,1] => [1,3,5,6,2,7,4] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,5,6,1,2,4] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,6,1,4,2] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,6,2,1,4] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,6,2,4,1] => [1,3,5,2,7,4,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[3,7,5,6,4,1,2] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,5,6,4,2,1] => [1,3,5,4,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,6,1,2,4,5] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,1,2,5,4] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,6,1,4,2,5] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,1,4,5,2] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,6,1,5,2,4] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,1,5,4,2] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,2,1,4,5] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,2,1,5,4] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,6,2,4,1,5] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,2,4,5,1] => [1,3,6,5,4,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,6,2,5,1,4] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,2,5,4,1] => [1,3,6,4,2,7,5] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,4,1,2,5] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,4,1,5,2] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,6,4,2,1,5] => [1,3,6,2,7,5,4] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,4,2,5,1] => [1,3,6,5,2,7,4] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[3,7,6,4,5,1,2] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,4,5,2,1] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,5,1,2,4] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,5,1,4,2] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,6,5,2,1,4] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,5,2,4,1] => [1,3,6,4,5,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[3,7,6,5,4,1,2] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,2,3,6,7,5] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,2,3,7,6,5] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,2,5,3,6,7] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,1,2,5,3,7,6] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,1,2,5,6,3,7] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,2,5,6,7,3] => [1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,5,7,3,6] => [1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,5,7,6,3] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,6,3,5,7] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,6,5,3,7] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,2,6,5,7,3] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,6,7,3,5] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,2,6,7,5,3] => [1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,3,6,5] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,5,3,6] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,5,6,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,6,3,5] => [1,4,7,5,6,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,2,7,6,5,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,3,2,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,3,2,5,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,3,2,6,5,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,3,2,6,7,5] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,3,2,7,5,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,3,2,7,6,5] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,3,5,2,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,1,3,5,2,7,6] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,1,3,5,6,2,7] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,1,3,5,6,7,2] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,5,7,2,6] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,5,7,6,2] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,3,6,2,5,7] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,1,3,6,2,7,5] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,6,5,2,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,6,7,2,5] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,3,6,7,5,2] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,7,2,5,6] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,7,2,6,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,3,7,5,2,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,3,7,6,2,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,5,2,6,7,3] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,1,5,2,7,3,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,5,2,7,6,3] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,5,3,2,6,7] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,1,5,3,2,7,6] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,1,5,3,6,2,7] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,5,3,6,7,2] => [1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,3,7,2,6] => [1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,3,7,6,2] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,6,2,3,7] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,5,6,2,7,3] => [1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,6,3,2,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,5,6,3,7,2] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,1,5,6,7,2,3] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,5,6,7,3,2] => [1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,2,3,6] => [1,4,7,6,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,2,6,3] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,3,2,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,6,2,3] => [1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,5,7,6,3,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,2,3,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,6,2,3,7,5] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,6,2,5,3,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,6,2,5,7,3] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,6,2,7,3,5] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,6,2,7,5,3] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,1,6,3,2,5,7] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,6,3,2,7,5] => [1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,3,5,2,7] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,6,3,5,7,2] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,3,7,2,5] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,6,3,7,5,2] => [1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,5,2,3,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,1,6,5,2,7,3] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,1,6,5,3,2,7] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,1,6,5,3,7,2] => [1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,5,7,2,3] => [1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,5,7,3,2] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,2,3,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,2,5,3] => [1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,3,2,5] => [1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,3,5,2] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,5,2,3] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,6,7,5,3,2] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,2,3,5,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,2,3,6,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,2,5,3,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,2,5,6,3] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,2,6,3,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,2,6,5,3] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,1,7,3,2,5,6] => [1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,3,2,6,5] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,3,5,2,6] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,3,5,6,2] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,3,6,2,5] => [1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,3,6,5,2] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,5,2,3,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,1,7,5,2,6,3] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,1,7,5,3,2,6] => [1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,5,3,6,2] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,5,6,2,3] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,1,7,5,6,3,2] => [1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,6,2,3,5] => [1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,6,2,5,3] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,1,7,6,3,2,5] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,6,3,5,2] => [1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,6,5,2,3] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,1,7,6,5,3,2] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,3,5,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,1,3,5,7,6] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,1,3,6,5,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,1,3,6,7,5] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,1,3,7,5,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,1,3,7,6,5] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,1,5,3,6,7] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,2,1,5,3,7,6] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,2,1,5,6,3,7] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,1,5,6,7,3] => [1,4,5,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,5,7,3,6] => [1,4,5,7,6,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,5,7,6,3] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,6,3,5,7] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,1,6,3,7,5] => [1,4,6,7,5,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,6,5,3,7] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,1,6,5,7,3] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,6,7,3,5] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,1,6,7,5,3] => [1,4,6,5,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,3,6,5] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,5,3,6] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,5,6,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,6,3,5] => [1,4,7,5,6,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,1,7,6,5,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,3,1,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,3,1,5,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,3,1,6,5,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,3,1,6,7,5] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,3,1,7,5,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,3,1,7,6,5] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,3,5,1,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,2,3,5,1,7,6] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,2,3,5,6,1,7] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,2,3,5,6,7,1] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,5,7,1,6] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,5,7,6,1] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,3,6,1,5,7] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,2,3,6,1,7,5] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,6,5,1,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,6,7,1,5] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,3,6,7,5,1] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,7,1,5,6] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,7,1,6,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,3,7,5,1,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,3,7,6,1,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,1,3,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,5,1,3,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,5,1,6,3,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,5,1,6,7,3] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,2,5,1,7,3,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,5,1,7,6,3] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,5,3,1,6,7] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,2,5,3,1,7,6] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,2,5,3,6,1,7] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,5,3,6,7,1] => [1,4,3,5,6,7,2] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,3,7,1,6] => [1,4,3,5,7,6,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,3,7,6,1] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,6,1,3,7] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,5,6,1,7,3] => [1,4,6,7,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,6,3,1,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,5,6,3,7,1] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,2,5,6,7,1,3] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,5,6,7,3,1] => [1,4,6,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,1,3,6] => [1,4,7,6,3,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,1,6,3] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,3,1,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,6,1,3] => [1,4,7,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,1,3,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,6,1,3,7,5] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,6,1,5,3,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,6,1,5,7,3] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,6,1,7,3,5] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,6,1,7,5,3] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,2,6,3,1,5,7] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,6,3,1,7,5] => [1,4,3,6,7,5,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,3,5,1,7] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,6,3,5,7,1] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,3,7,1,5] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,6,3,7,5,1] => [1,4,3,6,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,5,1,3,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,2,6,5,1,7,3] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,2,6,5,3,1,7] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,2,6,5,3,7,1] => [1,4,5,3,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,5,7,1,3] => [1,4,5,7,3,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,5,7,3,1] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,1,3,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,1,5,3] => [1,4,7,3,6,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,3,1,5] => [1,4,7,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,3,5,1] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,5,1,3] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,6,7,5,3,1] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,1,3,5,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,1,3,6,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,1,5,3,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,1,5,6,3] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,1,6,3,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,1,6,5,3] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,2,7,3,1,5,6] => [1,4,3,7,6,5,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,3,1,6,5] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,3,5,1,6] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,3,5,6,1] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,3,6,1,5] => [1,4,3,7,5,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,3,6,5,1] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,5,1,3,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,2,7,5,1,6,3] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,2,7,5,3,1,6] => [1,4,5,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,5,3,6,1] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,5,6,1,3] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,2,7,5,6,3,1] => [1,4,5,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,6,1,3,5] => [1,4,6,3,7,5,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,6,1,5,3] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,2,7,6,3,1,5] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,6,3,5,1] => [1,4,6,5,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,6,5,1,3] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,2,7,6,5,3,1] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,1,2,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,1,2,5,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,1,2,6,5,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,1,2,6,7,5] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,1,2,7,5,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,1,2,7,6,5] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,1,5,2,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,1,5,2,7,6] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,1,5,6,2,7] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,1,5,6,7,2] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,5,7,2,6] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,5,7,6,2] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,1,6,2,5,7] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,1,6,2,7,5] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,6,5,2,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,1,6,5,7,2] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,6,7,2,5] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,1,6,7,5,2] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,7,2,5,6] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,7,2,6,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,1,7,5,2,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,1,7,6,2,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,2,1,7,5,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,5,7,1,6] => [1,4,5,7,6,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,2,6,1,5,7] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,2,6,1,7,5] => [1,4,6,7,5,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,6,7,1,5] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,2,6,7,5,1] => [1,4,6,5,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,7,1,5,6] => [1,4,7,6,5,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,7,1,6,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,2,7,5,1,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,2,7,6,1,5] => [1,4,7,5,6,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,1,2,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,1,2,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,1,6,2,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,1,6,7,2] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,1,7,2,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,5,1,7,6,2] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => ([(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,3,5,2,7,1,6] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,5,6,1,2,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,3,5,6,7,1,2] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,3,5,7,1,2,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,7,1,6,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,7,2,1,6] => [1,4,7,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,7,2,6,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,1,2,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,1,2,7,5] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,6,1,5,2,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,1,5,7,2] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,6,1,7,2,5] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,1,7,5,2] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,2,1,5,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,2,1,7,5] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,6,2,5,1,7] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,2,5,7,1] => [1,4,2,3,6,7,5] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,6,2,7,1,5] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,2,7,5,1] => [1,4,2,3,6,5,7] => ([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,3,6,5,1,2,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,6,5,1,7,2] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => 1

[4,3,6,5,7,1,2] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,1,2,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,1,5,2] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,2,1,5] => [1,4,7,5,2,3,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,2,5,1] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,5,1,2] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,6,7,5,2,1] => [1,4,7,2,3,6,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,7,1,2,5,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,1,2,6,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,1,5,2,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,1,5,6,2] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,1,6,2,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,1,6,5,2] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,1,5,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,1,6,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,5,1,6] => [1,4,2,3,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,5,6,1] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,6,1,5] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,2,6,5,1] => [1,4,2,3,7,5,6] => ([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => 1

[4,3,7,5,1,2,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,3,7,5,1,6,2] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,3,7,5,2,1,6] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,3,7,5,2,6,1] => [1,4,5,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => 2

[4,3,7,5,6,1,2] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,7,5,6,2,1] => [1,4,5,6,2,3,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,7,6,1,2,5] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,7,6,1,5,2] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,7,6,2,1,5] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,7,6,2,5,1] => [1,4,6,5,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[4,3,7,6,5,1,2] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,2,3,6,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,1,2,3,7,6] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,1,2,6,3,7] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,1,2,6,7,3] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,5,1,2,7,3,6] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,2,7,6,3] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,3,2,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,1,3,2,7,6] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,1,3,6,2,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,1,3,6,7,2] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,1,3,7,2,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,5,1,3,7,6,2] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,5,1,6,2,3,7] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,1,6,2,7,3] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,6,3,2,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,1,6,3,7,2] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,5,1,6,7,2,3] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,6,7,3,2] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,1,7,2,3,6] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,7,2,6,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,7,3,2,6] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,7,3,6,2] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,7,6,2,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,1,7,6,3,2] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,1,3,6,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,2,1,3,7,6] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,2,1,6,3,7] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,2,1,6,7,3] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,5,2,1,7,3,6] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,1,7,6,3] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,3,1,6,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,2,3,1,7,6] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,2,3,6,1,7] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,2,3,6,7,1] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => 1

[4,5,2,3,7,1,6] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,5,2,3,7,6,1] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,5,2,6,1,3,7] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,2,6,1,7,3] => [1,4,6,7,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,6,3,1,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,2,6,3,7,1] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,5,2,6,7,1,3] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,6,7,3,1] => [1,4,6,3,2,5,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,2,7,1,3,6] => [1,4,7,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,7,1,6,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,7,3,1,6] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,7,3,6,1] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,7,6,1,3] => [1,4,7,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,2,7,6,3,1] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,1,2,6,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,3,1,2,7,6] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,3,1,6,2,7] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,3,1,6,7,2] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,5,3,1,7,2,6] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,1,7,6,2] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,5,3,2,7,1,6] => [1,4,2,5,7,6,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,6,1,2,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,3,6,1,7,2] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,5,3,6,7,1,2] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,1,2,6] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,1,6,2] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,2,1,6] => [1,4,7,6,2,5,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,2,6,1] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,6,1,2] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,1,2,3,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,1,2,7,3] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,1,3,2,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,1,3,7,2] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,1,7,2,3] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,1,7,3,2] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,2,1,3,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,2,1,7,3] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,2,3,1,7] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,2,3,7,1] => [1,4,2,5,3,6,7] => ([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => 1

[4,5,6,2,7,1,3] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,2,7,3,1] => [1,4,2,5,7,3,6] => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,3,1,2,7] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,6,3,1,7,2] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,3,7,1,2] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,6,7,1,2,3] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,7,1,3,2] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,7,2,1,3] => [1,4,7,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,7,2,3,1] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,7,3,1,2] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,1,2,3,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,1,2,6,3] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,1,3,2,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,1,3,6,2] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,1,6,2,3] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,7,1,6,3,2] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,7,2,1,3,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,2,1,6,3] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,2,3,1,6] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,2,3,6,1] => [1,4,2,5,3,7,6] => ([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => 2

[4,5,7,2,6,1,3] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,7,2,6,3,1] => [1,4,2,5,6,3,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[4,5,7,3,1,2,6] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,3,1,6,2] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,3,2,1,6] => [1,4,3,7,6,2,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,3,2,6,1] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,3,6,1,2] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,3,6,2,1] => [1,4,3,7,2,5,6] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,6,1,2,3] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,7,6,1,3,2] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,6,2,1,3] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,7,6,2,3,1] => [1,4,6,3,7,2,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,5,7,6,3,1,2] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,1,2,3,5,7] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,1,2,3,7,5] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,2,5,3,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,1,2,5,7,3] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,2,7,3,5] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,1,2,7,5,3] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,3,2,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,1,3,2,7,5] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,6,1,3,5,2,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,1,3,5,7,2] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,6,1,3,7,2,5] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,1,3,7,5,2] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,1,5,2,3,7] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,1,5,2,7,3] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,5,3,2,7] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,1,5,3,7,2] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,1,5,7,2,3] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,5,7,3,2] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,6,1,7,2,3,5] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,7,2,5,3] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,7,3,2,5] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,7,3,5,2] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,7,5,2,3] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,1,7,5,3,2] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,1,3,5,7] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,2,1,3,7,5] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,1,5,3,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,2,1,5,7,3] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,1,7,3,5] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,2,1,7,5,3] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,3,1,5,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,2,3,1,7,5] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,6,2,3,5,1,7] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,2,3,5,7,1] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,6,2,3,7,1,5] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,2,3,7,5,1] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => 2

[4,6,2,5,1,3,7] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,2,5,1,7,3] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,5,3,1,7] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,2,5,3,7,1] => [1,4,5,3,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,2,5,7,1,3] => [1,4,5,7,3,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,5,7,3,1] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,6,2,7,1,3,5] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,7,1,5,3] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,7,3,1,5] => [1,4,7,5,3,2,6] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,7,3,5,1] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,7,5,1,3] => [1,4,7,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,2,7,5,3,1] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,1,2,5,7] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,3,1,2,7,5] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,1,5,2,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,3,1,5,7,2] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,1,7,2,5] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,3,1,7,5,2] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,2,1,5,7] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,3,2,1,7,5] => [1,4,2,6,7,5,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,2,5,1,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,3,2,5,7,1] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,2,7,1,5] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,3,2,7,5,1] => [1,4,2,6,5,7,3] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,5,1,2,7] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,3,5,1,7,2] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,5,2,1,7] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,3,5,2,7,1] => [1,4,5,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,5,7,1,2] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,6,3,5,7,2,1] => [1,4,5,7,2,6,3] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[4,6,3,7,1,2,5] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,7,1,5,2] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,7,2,1,5] => [1,4,7,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,7,2,5,1] => [1,4,7,2,6,5,3] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,7,5,1,2] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,3,7,5,2,1] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,1,2,3,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,1,2,7,3] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,1,3,2,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,1,3,7,2] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,1,7,2,3] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,1,7,3,2] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,2,1,3,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,2,1,7,3] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,2,3,1,7] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,2,3,7,1] => [1,4,2,6,7,3,5] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,2,7,1,3] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,2,7,3,1] => [1,4,2,6,3,5,7] => ([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => 1

[4,6,5,3,1,2,7] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,5,3,1,7,2] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[4,6,5,3,7,1,2] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,1,2,3] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,1,3,2] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,2,1,3] => [1,4,7,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,2,3,1] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,3,1,2] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,5,7,3,2,1] => [1,4,7,2,6,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,7,1,2,3,5] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,1,2,5,3] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,1,3,2,5] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,1,3,5,2] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,1,5,2,3] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,1,5,3,2] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,2,1,3,5] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,2,1,5,3] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,2,3,1,5] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,2,3,5,1] => [1,4,2,6,5,3,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,2,5,1,3] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,2,5,3,1] => [1,4,2,6,3,7,5] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => 1

[4,6,7,3,1,2,5] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,7,3,1,5,2] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,6,7,3,2,1,5] => [1,4,3,7,5,2,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,6,7,3,2,5,1] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,6,7,3,5,1,2] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,6,7,3,5,2,1] => [1,4,3,7,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,6,7,5,1,2,3] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,5,1,3,2] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,5,2,1,3] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,5,2,3,1] => [1,4,5,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,6,7,5,3,1,2] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,2,3,5,6] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,2,3,6,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,2,5,3,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,2,5,6,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,1,2,6,3,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,2,6,5,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,1,3,2,5,6] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => 1

[4,7,1,3,2,6,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,1,3,5,2,6] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => 1

[4,7,1,3,5,6,2] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,1,3,6,2,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,1,3,6,5,2] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,1,5,2,3,6] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,5,2,6,3] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,5,3,2,6] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,1,5,3,6,2] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,1,5,6,2,3] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,1,5,6,3,2] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,1,6,2,3,5] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,6,2,5,3] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,1,6,3,2,5] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,1,6,3,5,2] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,1,6,5,2,3] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,1,6,5,3,2] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,1,3,5,6] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,1,3,6,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,1,5,3,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,1,5,6,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,2,1,6,3,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,1,6,5,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,2,3,1,5,6] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => 1

[4,7,2,3,1,6,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,2,3,5,1,6] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => 1

[4,7,2,3,5,6,1] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,2,3,6,1,5] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,2,3,6,5,1] => [1,4,3,2,7,5,6] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => 1

[4,7,2,5,1,3,6] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,5,1,6,3] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,5,3,1,6] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,2,5,3,6,1] => [1,4,5,3,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,2,5,6,1,3] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,2,5,6,3,1] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,2,6,1,3,5] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,6,1,5,3] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,2,6,3,1,5] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,2,6,3,5,1] => [1,4,6,5,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,2,6,5,1,3] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,2,6,5,3,1] => [1,4,6,3,2,7,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,1,2,5,6] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,1,2,6,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,1,5,2,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,1,5,6,2] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,3,1,6,2,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,1,6,5,2] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,3,2,1,5,6] => [1,4,2,7,6,5,3] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,2,1,6,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,2,5,1,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,2,5,6,1] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,3,2,6,1,5] => [1,4,2,7,5,6,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,2,6,5,1] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,3,5,1,2,6] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,5,1,6,2] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,5,2,1,6] => [1,4,5,2,7,6,3] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,5,2,6,1] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,5,6,1,2] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,3,5,6,2,1] => [1,4,5,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,3,6,1,2,5] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,6,1,5,2] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,3,6,2,1,5] => [1,4,6,2,7,5,3] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,3,6,2,5,1] => [1,4,6,5,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,3,6,5,1,2] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,3,6,5,2,1] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,1,2,3,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,5,1,2,6,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,1,3,2,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,5,1,3,6,2] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,1,6,2,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,1,6,3,2] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,2,1,3,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,5,2,1,6,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,2,3,1,6] => [1,4,2,7,6,3,5] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,5,2,3,6,1] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,2,6,1,3] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,2,6,3,1] => [1,4,2,7,3,5,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,3,1,2,6] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,5,3,1,6,2] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,5,3,2,1,6] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,5,3,2,6,1] => [1,4,3,5,2,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[4,7,5,3,6,1,2] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,5,3,6,2,1] => [1,4,3,5,6,2,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,5,6,1,2,3] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,6,1,3,2] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,5,6,2,1,3] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,6,2,3,1] => [1,4,6,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,5,6,3,1,2] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,5,6,3,2,1] => [1,4,6,2,7,3,5] => ([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[4,7,6,1,2,3,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,1,2,5,3] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,1,3,2,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,1,3,5,2] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,1,5,2,3] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,1,5,3,2] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,2,1,3,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,2,1,5,3] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,2,3,1,5] => [1,4,2,7,5,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,2,3,5,1] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,2,5,1,3] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,2,5,3,1] => [1,4,2,7,3,6,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,3,1,2,5] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,3,1,5,2] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,6,3,2,1,5] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,3,2,5,1] => [1,4,3,6,5,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,6,3,5,1,2] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,3,5,2,1] => [1,4,3,6,2,7,5] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[4,7,6,5,1,2,3] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,5,1,3,2] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,5,2,1,3] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,5,2,3,1] => [1,4,5,2,7,3,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[4,7,6,5,3,1,2] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,2,3,4,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,3,4,7,6] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,3,6,4,7] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,3,7,6,4] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,4,3,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,4,3,7,6] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,4,6,3,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,2,4,6,7,3] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,4,7,3,6] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,4,7,6,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,2,6,3,4,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,6,3,7,4] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,2,6,4,3,7] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,2,6,4,7,3] => [1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,6,7,3,4] => [1,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,6,7,4,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,2,7,3,4,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,2,7,3,6,4] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,7,4,6,3] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,2,7,6,3,4] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,2,4,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,2,4,7,6] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,2,6,4,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,3,2,6,7,4] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,2,7,4,6] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,2,7,6,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,4,2,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,4,2,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,4,6,2,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,3,4,6,7,2] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,1,3,4,7,2,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,4,7,6,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,3,6,2,4,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,6,2,7,4] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,3,6,4,2,7] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,3,6,4,7,2] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,3,6,7,2,4] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,3,6,7,4,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,3,7,4,2,6] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,3,7,4,6,2] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,3,7,6,2,4] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,3,7,6,4,2] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,4,2,3,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,2,3,7,6] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,2,6,3,7] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,4,2,6,7,3] => [1,5,6,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,2,7,3,6] => [1,5,7,6,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,2,7,6,3] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,3,2,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,3,2,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,3,6,2,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,4,3,6,7,2] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,1,4,3,7,2,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,3,7,6,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,4,6,2,3,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,6,2,7,3] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,4,6,3,2,7] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,4,6,3,7,2] => [1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,6,7,2,3] => [1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,6,7,3,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,4,7,3,2,6] => [1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,7,3,6,2] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,4,7,6,2,3] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,4,7,6,3,2] => [1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,2,3,4,7] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,6,2,3,7,4] => [1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,2,4,3,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,6,2,4,7,3] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,1,6,2,7,3,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,2,7,4,3] => [1,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,3,2,4,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,1,6,3,2,7,4] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,1,6,3,4,2,7] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,6,3,4,7,2] => [1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,3,7,2,4] => [1,5,7,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,3,7,4,2] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,1,6,4,2,3,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,1,6,4,2,7,3] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,1,6,4,3,2,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,6,4,3,7,2] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,1,6,4,7,2,3] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,4,7,3,2] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,1,6,7,2,3,4] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,1,6,7,2,4,3] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,1,6,7,3,2,4] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,6,7,3,4,2] => [1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,7,4,2,3] => [1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,6,7,4,3,2] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,2,3,4,6] => [1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,2,3,6,4] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,2,4,3,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,7,2,4,6,3] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,1,7,2,6,3,4] => [1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,2,6,4,3] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,1,7,3,2,4,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,3,2,6,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,1,7,3,4,2,6] => [1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,3,4,6,2] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,3,6,2,4] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,3,6,4,2] => [1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,4,2,3,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,4,2,6,3] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,1,7,4,3,2,6] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,4,3,6,2] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,7,4,6,2,3] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,4,6,3,2] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,7,6,2,3,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,1,7,6,2,4,3] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,1,7,6,3,2,4] => [1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,1,7,6,3,4,2] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,1,7,6,4,2,3] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,1,7,6,4,3,2] => [1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,3,4,6,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,3,4,7,6] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,3,6,4,7] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,1,3,6,7,4] => [1,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,3,7,6,4] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,4,3,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,4,3,7,6] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,4,6,3,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,1,4,6,7,3] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,4,7,3,6] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,4,7,6,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,1,6,3,4,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,6,3,7,4] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,1,6,4,3,7] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,1,6,4,7,3] => [1,5,4,6,7,3,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,6,7,3,4] => [1,5,7,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,6,7,4,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,1,7,3,4,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,1,7,3,6,4] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,1,7,4,3,6] => [1,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,7,4,6,3] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,1,7,6,3,4] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,1,4,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,1,4,7,6] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,1,6,4,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,3,1,6,7,4] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,1,7,4,6] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,1,7,6,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,4,1,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,4,1,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,4,6,1,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,2,3,4,7,1,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,3,6,1,4,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,6,1,7,4] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,3,6,4,1,7] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,3,6,4,7,1] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,3,6,7,1,4] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,3,6,7,4,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,3,7,1,4,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,3,7,1,6,4] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,3,7,4,1,6] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,3,7,4,6,1] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,3,7,6,1,4] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,3,7,6,4,1] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,4,1,3,6,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,1,3,7,6] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,1,6,3,7] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,4,1,6,7,3] => [1,5,6,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,1,7,3,6] => [1,5,7,6,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,1,7,6,3] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,3,1,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,3,1,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,3,6,1,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,2,4,3,7,1,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,4,6,1,3,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,6,1,7,3] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,4,6,3,1,7] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,4,6,3,7,1] => [1,5,3,4,6,7,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,6,7,1,3] => [1,5,7,3,4,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,4,7,3,1,6] => [1,5,3,4,7,6,2] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,7,3,6,1] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,4,7,6,1,3] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,4,7,6,3,1] => [1,5,6,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,1,3,4,7] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,6,1,3,7,4] => [1,5,3,6,7,4,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,1,4,3,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,6,1,4,7,3] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,2,6,1,7,3,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,1,7,4,3] => [1,5,7,3,6,4,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,3,1,4,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,2,6,3,1,7,4] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,2,6,3,4,1,7] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,6,3,4,7,1] => [1,5,4,3,6,7,2] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,3,7,1,4] => [1,5,7,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,3,7,4,1] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,2,6,4,1,3,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,2,6,4,1,7,3] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,2,6,4,3,1,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,6,4,3,7,1] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,2,6,4,7,1,3] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,4,7,3,1] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,2,6,7,1,3,4] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,2,6,7,1,4,3] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,2,6,7,3,1,4] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,6,7,3,4,1] => [1,5,3,6,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,7,4,1,3] => [1,5,4,7,3,6,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,6,7,4,3,1] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,1,3,4,6] => [1,5,3,7,6,4,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,1,3,6,4] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,1,4,3,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,7,1,4,6,3] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,2,7,1,6,3,4] => [1,5,6,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,1,6,4,3] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,2,7,3,1,4,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,3,1,6,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,2,7,3,4,1,6] => [1,5,4,3,7,6,2] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,3,4,6,1] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,3,6,1,4] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,3,6,4,1] => [1,5,6,4,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,4,1,3,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,4,1,6,3] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,2,7,4,3,1,6] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,4,3,6,1] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,7,4,6,1,3] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,4,6,3,1] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,7,6,1,3,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,2,7,6,1,4,3] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,2,7,6,3,1,4] => [1,5,3,7,4,6,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,2,7,6,3,4,1] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,2,7,6,4,1,3] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,2,7,6,4,3,1] => [1,5,4,6,3,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,2,4,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,2,4,7,6] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,2,6,4,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,3,1,2,6,7,4] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,2,7,4,6] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,2,7,6,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,4,2,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,4,2,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,4,6,2,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,1,4,6,7,2] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,3,1,4,7,2,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,4,7,6,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,1,6,2,4,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,6,2,7,4] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,1,6,4,2,7] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,1,6,4,7,2] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,1,6,7,2,4] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,1,6,7,4,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,1,7,2,6,4] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,1,7,4,2,6] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,1,7,4,6,2] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,1,7,6,2,4] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,1,7,6,4,2] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,1,4,6,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,1,4,7,6] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,1,6,4,7] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,3,2,1,6,7,4] => [1,5,6,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,2,1,7,4,6] => [1,5,7,6,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,2,1,7,6,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,2,4,1,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,4,1,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,4,6,1,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,3,2,4,7,1,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,6,1,4,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,6,1,7,4] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,2,6,4,1,7] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,2,6,4,7,1] => [1,5,4,6,7,2,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,6,7,1,4] => [1,5,7,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,6,7,4,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,2,7,4,1,6] => [1,5,4,7,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,2,7,4,6,1] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,2,7,6,1,4] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,2,7,6,4,1] => [1,5,6,4,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,4,1,2,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,1,2,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,1,6,2,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,3,4,1,7,2,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,4,2,1,6,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,2,1,7,6] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,2,6,1,7] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => 1

[5,3,4,2,7,1,6] => [1,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,4,6,1,2,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,6,1,7,2] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,6,2,1,7] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,6,2,7,1] => [1,5,2,3,4,6,7] => ([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,4,6,7,2,1] => [1,5,7,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,3,4,7,1,2,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,4,7,1,6,2] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,4,7,2,1,6] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,4,7,2,6,1] => [1,5,2,3,4,7,6] => ([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,4,7,6,1,2] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,4,7,6,2,1] => [1,5,6,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,6,1,2,4,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,1,2,7,4] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,1,4,2,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,6,1,4,7,2] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,6,1,7,2,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,6,1,7,4,2] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,2,1,4,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,2,1,7,4] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,2,4,1,7] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,6,2,4,7,1] => [1,5,4,2,3,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,3,6,2,7,1,4] => [1,5,7,4,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,6,2,7,4,1] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,4,1,2,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,4,1,7,2] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,4,2,1,7] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,4,2,7,1] => [1,5,2,3,6,7,4] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,4,7,1,2] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,4,7,2,1] => [1,5,7,2,3,6,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,3,6,7,1,2,4] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,7,1,4,2] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,7,2,1,4] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,7,2,4,1] => [1,5,2,3,6,4,7] => ([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => 1

[5,3,6,7,4,1,2] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,6,7,4,2,1] => [1,5,4,7,2,3,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,1,2,4,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,1,2,6,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,1,4,2,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,7,1,4,6,2] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,7,1,6,2,4] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,1,6,4,2] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,3,7,2,1,4,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,2,1,6,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,2,4,1,6] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,7,2,4,6,1] => [1,5,4,2,3,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,3,7,2,6,1,4] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,2,6,4,1] => [1,5,6,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,3,7,4,1,2,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,4,1,6,2] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,4,2,1,6] => [1,5,2,3,7,6,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,4,2,6,1] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,4,6,1,2] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,4,6,2,1] => [1,5,6,2,3,7,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,3,7,6,1,2,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,6,1,4,2] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,6,2,1,4] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,6,2,4,1] => [1,5,2,3,7,4,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => 1

[5,3,7,6,4,1,2] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,3,7,6,4,2,1] => [1,5,4,6,2,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,1,2,3,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,2,3,7,6] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,2,6,3,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,1,2,6,7,3] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,2,7,3,6] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,2,7,6,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,1,3,2,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,3,2,7,6] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,3,6,2,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,1,3,6,7,2] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,3,7,2,6] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,3,7,6,2] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,1,6,2,3,7] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,1,6,2,7,3] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,6,3,2,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,6,3,7,2] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,1,6,7,2,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,1,6,7,3,2] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,7,2,3,6] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,7,2,6,3] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,7,3,2,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,1,7,3,6,2] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,1,7,6,2,3] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,1,7,6,3,2] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,2,1,3,6,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,1,3,7,6] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,1,6,3,7] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,2,1,6,7,3] => [1,5,6,7,3,2,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,1,7,3,6] => [1,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,1,7,6,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,2,3,1,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,3,1,7,6] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,3,6,1,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,2,3,6,7,1] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,3,7,1,6] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,3,7,6,1] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,2,6,1,3,7] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,2,6,1,7,3] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,6,3,1,7] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,6,3,7,1] => [1,5,3,2,4,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,2,6,7,1,3] => [1,5,7,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,2,6,7,3,1] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,7,1,3,6] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,7,1,6,3] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,7,3,1,6] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,2,7,3,6,1] => [1,5,3,2,4,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,2,7,6,1,3] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,2,7,6,3,1] => [1,5,6,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,3,1,2,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,3,1,2,7,6] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,3,1,6,2,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,3,1,6,7,2] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,1,7,2,6] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,1,7,6,2] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,3,2,1,6,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,3,2,1,7,6] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,3,2,6,1,7] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,3,2,6,7,1] => [1,5,6,7,2,4,3] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,2,7,1,6] => [1,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,3,6,1,2,7] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,3,6,1,7,2] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,6,2,1,7] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,3,6,2,7,1] => [1,5,2,4,6,7,3] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,6,7,1,2] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,6,7,2,1] => [1,5,7,2,4,6,3] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,1,2,6] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,1,6,2] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,2,1,6] => [1,5,2,4,7,6,3] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,2,6,1] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,6,1,2] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,3,7,6,2,1] => [1,5,6,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,1,2,3,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,1,2,7,3] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,1,3,2,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,6,1,3,7,2] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,4,6,1,7,2,3] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,1,7,3,2] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,6,2,1,3,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,2,1,7,3] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,2,3,1,7] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,6,2,3,7,1] => [1,5,3,6,7,2,4] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,4,6,2,7,1,3] => [1,5,7,3,6,2,4] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,2,7,3,1] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,6,3,1,2,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,3,1,7,2] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,3,2,1,7] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,3,2,7,1] => [1,5,2,4,3,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,4,6,3,7,1,2] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,6,7,1,2,3] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,7,1,3,2] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,7,2,1,3] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,7,2,3,1] => [1,5,2,4,7,3,6] => ([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,4,6,7,3,1,2] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,6,7,3,2,1] => [1,5,3,6,2,4,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,7,1,2,3,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,1,2,6,3] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,1,3,2,6] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,7,1,3,6,2] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,7,1,6,2,3] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,7,1,6,3,2] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,7,2,1,3,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,2,1,6,3] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,2,3,1,6] => [1,5,3,7,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,4,7,2,3,6,1] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,7,2,6,1,3] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,7,2,6,3,1] => [1,5,6,3,7,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,7,3,1,2,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,3,1,6,2] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,3,2,1,6] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,3,2,6,1] => [1,5,2,4,3,7,6] => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,4,7,3,6,1,2] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,7,3,6,2,1] => [1,5,6,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => 1

[5,4,7,6,1,2,3] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,7,6,1,3,2] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,7,6,2,1,3] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,7,6,2,3,1] => [1,5,2,4,6,3,7] => ([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,4,7,6,3,1,2] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,4,7,6,3,2,1] => [1,5,3,7,2,4,6] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,1,2,3,4,7] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,2,3,7,4] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,2,4,3,7] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,2,4,7,3] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,2,7,3,4] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,2,7,4,3] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,3,2,4,7] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,3,2,7,4] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,3,4,2,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,1,3,4,7,2] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,1,3,7,2,4] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,3,7,4,2] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,4,2,3,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,4,2,7,3] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,4,3,2,7] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,4,3,7,2] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,4,7,2,3] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,4,7,3,2] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,1,7,2,3,4] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,7,2,4,3] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,7,3,2,4] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,7,3,4,2] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,1,7,4,2,3] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,1,7,4,3,2] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,1,3,4,7] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,1,3,7,4] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,1,4,3,7] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,1,4,7,3] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,1,7,3,4] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,1,7,4,3] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,3,1,4,7] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,3,1,7,4] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,3,4,1,7] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,2,3,4,7,1] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,2,3,7,1,4] => [1,5,7,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,3,7,4,1] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,4,1,3,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,4,1,7,3] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,4,3,1,7] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,4,3,7,1] => [1,5,3,2,6,7,4] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,4,7,1,3] => [1,5,7,3,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,4,7,3,1] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,2,7,1,3,4] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,7,1,4,3] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,7,3,1,4] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,7,3,4,1] => [1,5,3,2,6,4,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,2,7,4,1,3] => [1,5,4,7,3,2,6] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,2,7,4,3,1] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,1,2,4,7] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,1,2,7,4] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,1,4,2,7] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,1,4,7,2] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,1,7,2,4] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,1,7,4,2] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,2,1,4,7] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,2,1,7,4] => [1,5,2,6,7,4,3] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,2,4,1,7] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,2,4,7,1] => [1,5,4,2,6,7,3] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,2,7,1,4] => [1,5,7,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,2,7,4,1] => [1,5,7,2,6,4,3] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,4,1,2,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,4,1,7,2] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,4,2,1,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,4,2,7,1] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,4,7,1,2] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,3,4,7,2,1] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,3,7,1,2,4] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,7,1,4,2] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,7,2,1,4] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,3,7,2,4,1] => [1,5,2,6,4,7,3] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,7,4,1,2] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,3,7,4,2,1] => [1,5,4,7,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,1,2,3,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,1,2,7,3] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,1,3,2,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,4,1,3,7,2] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,4,1,7,2,3] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,1,7,3,2] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,4,2,1,3,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,2,1,7,3] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,2,3,1,7] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,4,2,3,7,1] => [1,5,3,4,2,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => 1

[5,6,4,2,7,1,3] => [1,5,7,3,4,2,6] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,2,7,3,1] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,4,3,1,2,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,3,1,7,2] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,3,2,1,7] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,3,2,7,1] => [1,5,2,6,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,3,7,1,2] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,4,3,7,2,1] => [1,5,7,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,6,4,7,1,2,3] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,7,1,3,2] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,7,2,1,3] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,7,2,3,1] => [1,5,2,6,3,4,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,4,7,3,1,2] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,4,7,3,2,1] => [1,5,3,4,7,2,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,1,2,3,4] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,1,2,4,3] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,1,3,2,4] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,1,3,4,2] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,6,7,1,4,2,3] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,1,4,3,2] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,2,1,3,4] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,2,1,4,3] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,2,3,1,4] => [1,5,3,7,4,2,6] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,2,3,4,1] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,6,7,2,4,1,3] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,2,4,3,1] => [1,5,4,2,6,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,3,1,2,4] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,3,1,4,2] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,3,2,1,4] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,3,2,4,1] => [1,5,2,6,4,3,7] => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,6,7,3,4,1,2] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,3,4,2,1] => [1,5,4,3,7,2,6] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,4,1,2,3] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,4,1,3,2] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,4,2,1,3] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,4,2,3,1] => [1,5,2,6,3,7,4] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,6,7,4,3,1,2] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[5,7,1,2,3,4,6] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,7,1,2,3,6,4] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,2,4,3,6] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,2,4,6,3] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,2,6,3,4] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,2,6,4,3] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,3,2,4,6] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,3,2,6,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,3,4,2,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,1,3,4,6,2] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,1,3,6,2,4] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,3,6,4,2] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,1,4,2,3,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,4,2,6,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,4,3,2,6] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,7,1,4,3,6,2] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,4,6,2,3] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,4,6,3,2] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,6,2,3,4] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,6,3,2,4] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,6,3,4,2] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,6,4,2,3] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,1,6,4,3,2] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,2,1,3,4,6] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,7,2,1,3,6,4] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,1,4,3,6] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,1,4,6,3] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,1,6,3,4] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,1,6,4,3] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,3,1,4,6] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,3,1,6,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,3,4,1,6] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,2,3,4,6,1] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,2,3,6,1,4] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,3,6,4,1] => [1,5,6,4,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,2,4,1,3,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,4,1,6,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,4,3,1,6] => [1,5,3,2,7,6,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => 1

[5,7,2,4,3,6,1] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,4,6,1,3] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,4,6,3,1] => [1,5,6,3,2,7,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,6,1,3,4] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,7,2,6,1,4,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,6,3,1,4] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,6,3,4,1] => [1,5,3,2,7,4,6] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,6,4,1,3] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,2,6,4,3,1] => [1,5,4,6,3,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,3,1,2,4,6] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,1,2,6,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,1,4,2,6] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,1,4,6,2] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,1,6,2,4] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,1,6,4,2] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,2,1,4,6] => [1,5,2,7,6,4,3] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,2,1,6,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,2,4,1,6] => [1,5,4,2,7,6,3] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,2,4,6,1] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,2,6,1,4] => [1,5,6,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,2,6,4,1] => [1,5,6,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,4,1,2,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,4,1,6,2] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,4,2,1,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,4,2,6,1] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,4,6,1,2] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,4,6,2,1] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,6,1,2,4] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,6,2,1,4] => [1,5,2,7,4,6,3] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,6,4,1,2] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,3,6,4,2,1] => [1,5,4,6,2,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,1,2,3,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,4,1,2,6,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,1,3,2,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,4,1,3,6,2] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,1,6,3,2] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,4,2,1,3,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,4,2,1,6,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,2,3,1,6] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,4,2,3,6,1] => [1,5,3,4,2,7,6] => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => 2

[5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,2,6,3,1] => [1,5,6,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,4,3,1,2,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,4,3,1,6,2] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,3,2,1,6] => [1,5,2,7,6,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,4,3,2,6,1] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,6,1,2,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,6,1,3,2] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,6,2,1,3] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,4,6,3,1,2] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,4,6,3,2,1] => [1,5,3,4,6,2,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,6,1,2,3,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,1,2,4,3] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,1,3,2,4] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,1,3,4,2] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,6,1,4,2,3] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,6,1,4,3,2] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,6,2,1,3,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,2,1,4,3] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,2,3,1,4] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,2,3,4,1] => [1,5,3,6,4,2,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,6,2,4,1,3] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,6,2,4,3,1] => [1,5,4,2,7,3,6] => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[5,7,6,3,1,2,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,3,1,4,2] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,3,2,1,4] => [1,5,2,7,4,3,6] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,3,2,4,1] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,3,4,1,2] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,6,3,4,2,1] => [1,5,4,3,6,2,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[5,7,6,4,1,2,3] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,4,1,3,2] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,4,2,1,3] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,4,2,3,1] => [1,5,2,7,3,6,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,4,3,1,2] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,2,3,4,5,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,3,5,4,7] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,3,5,7,4] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,2,3,7,4,5] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,4,3,5,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,4,3,7,5] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,4,5,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,4,5,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,2,4,7,3,5] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,4,7,5,3] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,5,3,4,7] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,5,3,7,4] => [1,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,5,4,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,5,4,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,2,5,7,3,4] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,5,7,4,3] => [1,6,4,5,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,7,3,4,5] => [1,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,7,3,5,4] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,2,7,4,3,5] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,7,4,5,3] => [1,6,5,4,7,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,7,5,3,4] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,2,7,5,4,3] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,3,2,4,5,7] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,2,4,7,5] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,3,2,5,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,2,5,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,2,7,4,5] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,2,7,5,4] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,3,4,2,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,4,2,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,3,4,5,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,4,7,2,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,4,7,5,2] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,3,5,2,4,7] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,5,2,7,4] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,5,4,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,5,7,2,4] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,5,7,4,2] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,7,2,4,5] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,7,2,5,4] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,3,7,4,2,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,1,3,7,4,5,2] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,1,3,7,5,4,2] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,4,2,3,5,7] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,2,3,7,5] => [1,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,2,5,3,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,2,5,7,3] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,4,2,7,3,5] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,2,7,5,3] => [1,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,3,2,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,3,2,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,3,5,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,4,3,7,2,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,3,7,5,2] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,5,2,3,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,5,2,7,3] => [1,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,5,3,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,4,5,7,2,3] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,5,7,3,2] => [1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,7,2,3,5] => [1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,7,2,5,3] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,4,7,3,2,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,1,4,7,3,5,2] => [1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,4,7,5,2,3] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,1,4,7,5,3,2] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,2,3,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,2,3,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,5,2,4,3,7] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,2,4,7,3] => [1,6,7,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,2,7,3,4] => [1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,2,7,4,3] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,3,2,4,7] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,3,2,7,4] => [1,6,7,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,3,4,2,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,3,4,7,2] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,5,3,7,2,4] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,3,7,4,2] => [1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,4,2,3,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,4,2,7,3] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,5,4,3,2,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,4,3,7,2] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,5,4,7,2,3] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,4,7,3,2] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,7,2,3,4] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,7,2,4,3] => [1,6,4,7,3,5,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,5,7,3,2,4] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,7,3,4,2] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,1,5,7,4,2,3] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,5,7,4,3,2] => [1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,2,3,4,5] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,2,3,5,4] => [1,6,5,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,2,4,3,5] => [1,6,3,7,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,2,4,5,3] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,7,2,5,3,4] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,2,5,4,3] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,2,4,5] => [1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,2,5,4] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,4,2,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,4,5,2] => [1,6,5,4,3,7,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,3,5,4,2] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,2,3,5] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,2,5,3] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,3,2,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,3,5,2] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,4,5,3,2] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,1,7,5,2,3,4] => [1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,5,2,4,3] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,5,3,4,2] => [1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,1,7,5,4,3,2] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,1,3,4,5,7] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,3,5,4,7] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,3,5,7,4] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,1,3,7,4,5] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,3,7,5,4] => [1,6,5,7,4,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,4,3,5,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,4,3,7,5] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,4,5,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,4,5,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,1,4,7,3,5] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,4,7,5,3] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,5,3,4,7] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,5,3,7,4] => [1,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,5,4,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,5,4,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,1,5,7,3,4] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,5,7,4,3] => [1,6,4,5,7,3,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,7,3,4,5] => [1,6,4,7,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,7,3,5,4] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,1,7,4,3,5] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,7,4,5,3] => [1,6,5,4,7,3,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,7,5,3,4] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,1,7,5,4,3] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,3,1,4,5,7] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,1,4,7,5] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,3,1,5,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,1,5,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,1,7,4,5] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,1,7,5,4] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,3,4,1,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,4,1,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,3,4,5,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,4,7,1,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,4,7,5,1] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,3,5,1,4,7] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,5,1,7,4] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,5,4,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,5,7,1,4] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,5,7,4,1] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,7,1,4,5] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,7,1,5,4] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,3,7,4,1,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,3,7,4,5,1] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,3,7,5,1,4] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,3,7,5,4,1] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,4,1,3,5,7] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,1,3,7,5] => [1,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,1,5,3,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,1,5,7,3] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,4,1,7,3,5] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,1,7,5,3] => [1,6,5,7,3,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,3,1,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,3,1,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,3,5,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,4,3,7,1,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,3,7,5,1] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,5,1,3,7] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,5,1,7,3] => [1,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,5,3,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,4,5,7,1,3] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,5,7,3,1] => [1,6,3,4,5,7,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,7,1,3,5] => [1,6,3,4,7,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,7,1,5,3] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,4,7,3,5,1] => [1,6,5,3,4,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,4,7,5,3,1] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,1,3,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,1,3,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,5,1,4,3,7] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,1,4,7,3] => [1,6,7,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,1,7,3,4] => [1,6,3,5,7,4,2] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,1,7,4,3] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,3,1,4,7] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,3,1,7,4] => [1,6,7,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,3,4,1,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,3,4,7,1] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,5,3,7,1,4] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,3,7,4,1] => [1,6,4,3,5,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,4,1,3,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,4,1,7,3] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,5,4,3,1,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,4,3,7,1] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,5,4,7,1,3] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,4,7,3,1] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,7,1,3,4] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,7,1,4,3] => [1,6,4,7,3,5,2] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,5,7,3,1,4] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,7,3,4,1] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,2,5,7,4,1,3] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,5,7,4,3,1] => [1,6,3,5,4,7,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,1,3,4,5] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,1,3,5,4] => [1,6,5,3,7,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,1,4,3,5] => [1,6,3,7,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,1,4,5,3] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,7,1,5,3,4] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,1,5,4,3] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,1,4,5] => [1,6,4,3,7,5,2] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,1,5,4] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,4,1,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,3,5,4,1] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,1,3,5] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,1,5,3] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,3,1,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,3,5,1] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,4,5,3,1] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,2,7,5,1,3,4] => [1,6,3,7,4,5,2] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,5,1,4,3] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,2,7,5,3,1,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,5,3,4,1] => [1,6,4,5,3,7,2] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,5,4,1,3] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,2,7,5,4,3,1] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,1,2,4,5,7] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,2,4,7,5] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,1,2,5,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,2,5,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,2,7,4,5] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,2,7,5,4] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,1,4,2,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,4,2,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,1,4,5,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,4,7,2,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,4,7,5,2] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,1,5,2,4,7] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,5,2,7,4] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,5,4,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,5,4,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,5,7,2,4] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,5,7,4,2] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,7,2,4,5] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,7,2,5,4] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,1,7,4,2,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,1,7,4,5,2] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,1,7,5,2,4] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,1,7,5,4,2] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,1,4,5,7] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,1,4,7,5] => [1,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,2,1,5,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,1,5,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,1,7,4,5] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,1,7,5,4] => [1,6,5,7,4,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,2,4,1,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,4,1,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,2,4,5,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,4,7,1,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,4,7,5,1] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,2,5,1,4,7] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,5,1,7,4] => [1,6,7,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,5,4,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,5,7,1,4] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,5,7,4,1] => [1,6,4,5,7,2,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,7,1,4,5] => [1,6,4,7,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,7,1,5,4] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,2,7,4,5,1] => [1,6,5,4,7,2,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,2,7,5,4,1] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,4,1,2,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,1,2,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,4,1,5,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,4,1,7,2,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,1,7,5,2] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,4,2,1,5,7] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,2,1,7,5] => [1,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,4,2,5,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,4,2,7,1,5] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,2,7,5,1] => [1,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,4,5,1,2,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,4,5,2,1,7] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,4,5,7,1,2] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,5,7,2,1] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,7,1,2,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,4,7,1,5,2] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,7,2,1,5] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,4,7,2,5,1] => [1,6,5,2,3,4,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,4,7,5,2,1] => [1,6,2,3,4,7,5] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,3,5,1,2,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,1,2,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,1,4,2,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,1,4,7,2] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,1,7,2,4] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,5,1,7,4,2] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,2,1,4,7] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,2,1,7,4] => [1,6,7,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,2,4,1,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,2,4,7,1] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,2,7,1,4] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,5,2,7,4,1] => [1,6,4,2,3,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,4,1,2,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,4,1,7,2] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,4,2,1,7] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,4,2,7,1] => [1,6,7,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,4,7,1,2] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,5,4,7,2,1] => [1,6,2,3,5,7,4] => ([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,5,7,1,2,4] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,7,1,4,2] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,7,2,1,4] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,7,2,4,1] => [1,6,4,7,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,3,5,7,4,1,2] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,5,7,4,2,1] => [1,6,2,3,5,4,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,7,1,2,4,5] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,1,2,5,4] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,1,4,2,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,1,4,5,2] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,7,1,5,2,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,1,5,4,2] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,2,1,4,5] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,2,1,5,4] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,2,4,1,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,2,4,5,1] => [1,6,5,4,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,2,5,4,1] => [1,6,4,2,3,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,1,2,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,1,5,2] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,2,1,5] => [1,6,2,3,7,5,4] => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,2,5,1] => [1,6,5,2,3,7,4] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,5,1,4,2] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,5,2,4,1] => [1,6,4,5,2,3,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,3,7,5,4,2,1] => [1,6,2,3,7,4,5] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,2,3,5,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,2,3,7,5] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,2,5,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,2,5,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,1,2,7,3,5] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,2,7,5,3] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,3,2,5,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,3,2,7,5] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,3,5,2,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,3,5,7,2] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,1,3,7,2,5] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,3,7,5,2] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,5,2,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,5,2,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,1,5,3,2,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,5,3,7,2] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,1,5,7,2,3] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,5,7,3,2] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,7,2,3,5] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,7,2,5,3] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,7,3,2,5] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,7,3,5,2] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,1,7,5,2,3] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,1,7,5,3,2] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,1,3,5,7] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,1,3,7,5] => [1,6,7,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,1,5,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,1,5,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,2,1,7,3,5] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,1,7,5,3] => [1,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,3,1,5,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,3,1,7,5] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,3,5,1,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,3,5,7,1] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,2,3,7,1,5] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,3,7,5,1] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,5,1,3,7] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,5,1,7,3] => [1,6,7,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,2,5,3,1,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,5,3,7,1] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,2,5,7,1,3] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,5,7,3,1] => [1,6,3,2,4,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,7,1,3,5] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,7,1,5,3] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,7,3,1,5] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,7,3,5,1] => [1,6,5,3,2,4,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,2,7,5,1,3] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,2,7,5,3,1] => [1,6,3,2,4,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,1,2,5,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,1,2,7,5] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,1,5,2,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,1,5,7,2] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,3,1,7,2,5] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,1,7,5,2] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,2,1,5,7] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,2,1,7,5] => [1,6,7,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,2,5,1,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,2,5,7,1] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,3,2,7,1,5] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,2,7,5,1] => [1,6,5,7,2,4,3] => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,5,1,2,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,5,1,7,2] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,3,5,2,1,7] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,3,5,2,7,1] => [1,6,7,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,3,5,7,1,2] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,5,7,2,1] => [1,6,2,4,5,7,3] => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,1,2,5] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,1,5,2] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,2,1,5] => [1,6,2,4,7,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,2,5,1] => [1,6,5,2,4,7,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,5,1,2] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,3,7,5,2,1] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,1,2,3,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,1,2,7,3] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,1,3,2,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,1,3,7,2] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,1,7,2,3] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,1,7,3,2] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,2,1,3,7] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,2,1,7,3] => [1,6,7,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,2,3,1,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,2,3,7,1] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,2,7,1,3] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,2,7,3,1] => [1,6,3,5,7,2,4] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,3,1,2,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,3,1,7,2] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,3,2,1,7] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,3,2,7,1] => [1,6,7,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,4,5,3,7,1,2] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,3,7,2,1] => [1,6,2,4,3,5,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,7,1,2,3] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,7,1,3,2] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,7,2,1,3] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,7,2,3,1] => [1,6,3,5,2,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,5,7,3,1,2] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,5,7,3,2,1] => [1,6,2,4,7,3,5] => ([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,1,2,3,5] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,1,2,5,3] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,1,3,2,5] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,1,3,5,2] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,1,5,2,3] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,1,5,3,2] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,4,7,2,1,3,5] => [1,6,3,7,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,2,1,5,3] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,2,3,1,5] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,2,3,5,1] => [1,6,5,3,7,2,4] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,2,5,1,3] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,2,5,3,1] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,4,7,3,1,2,5] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,3,1,5,2] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,3,2,1,5] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,3,2,5,1] => [1,6,5,2,4,3,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,3,5,1,2] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,3,5,2,1] => [1,6,2,4,3,7,5] => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,4,7,5,1,2,3] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,5,1,3,2] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,4,7,5,2,1,3] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,5,2,3,1] => [1,6,3,7,2,4,5] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => 1

[6,4,7,5,3,1,2] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,4,7,5,3,2,1] => [1,6,2,4,5,3,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,2,3,4,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,2,3,7,4] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,2,4,3,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,2,4,7,3] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,2,7,3,4] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,2,7,4,3] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,3,2,4,7] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,3,2,7,4] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,3,4,2,7] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,3,4,7,2] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,3,7,2,4] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,3,7,4,2] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,4,2,3,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,4,2,7,3] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,4,3,2,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,4,3,7,2] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,1,4,7,2,3] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,4,7,3,2] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,7,2,3,4] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,7,2,4,3] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,7,3,2,4] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,1,7,3,4,2] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,7,4,2,3] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,1,7,4,3,2] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,1,3,4,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,1,3,7,4] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,1,4,3,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,1,4,7,3] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,1,7,3,4] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,1,7,4,3] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,3,1,4,7] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,3,1,7,4] => [1,6,7,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,3,4,1,7] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,3,4,7,1] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,3,7,1,4] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,3,7,4,1] => [1,6,4,3,2,5,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,4,1,3,7] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,4,1,7,3] => [1,6,7,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,4,3,1,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,4,3,7,1] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,2,4,7,1,3] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,4,7,3,1] => [1,6,3,2,5,7,4] => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,7,1,3,4] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,7,1,4,3] => [1,6,4,7,3,2,5] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,7,3,1,4] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,2,7,3,4,1] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,7,4,1,3] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,2,7,4,3,1] => [1,6,3,2,5,4,7] => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,1,2,4,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,1,2,7,4] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,1,4,2,7] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,1,4,7,2] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,1,7,2,4] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,1,7,4,2] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,2,1,4,7] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,2,1,7,4] => [1,6,7,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,2,4,1,7] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,2,4,7,1] => [1,6,7,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,2,7,1,4] => [1,6,2,5,7,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,2,7,4,1] => [1,6,4,2,5,7,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,4,1,2,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,4,1,7,2] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,4,2,1,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,4,2,7,1] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,3,4,7,1,2] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,4,7,2,1] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,7,1,2,4] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,7,1,4,2] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,7,2,1,4] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,3,7,2,4,1] => [1,6,4,7,2,5,3] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,7,4,1,2] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,3,7,4,2,1] => [1,6,2,5,4,7,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,1,2,3,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,1,2,7,3] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,1,3,2,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,1,3,7,2] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,1,7,2,3] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,1,7,3,2] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,2,1,3,7] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,2,1,7,3] => [1,6,7,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,2,3,1,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,2,3,7,1] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,2,7,1,3] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,2,7,3,1] => [1,6,3,4,2,5,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,3,1,2,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,3,1,7,2] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,3,2,1,7] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,3,2,7,1] => [1,6,7,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,5,4,3,7,1,2] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,3,7,2,1] => [1,6,2,5,7,3,4] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,7,1,2,3] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,7,1,3,2] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,7,2,1,3] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,7,2,3,1] => [1,6,3,4,7,2,5] => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,4,7,3,1,2] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,4,7,3,2,1] => [1,6,2,5,3,4,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,1,2,3,4] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,1,2,4,3] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,1,3,2,4] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,1,3,4,2] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,1,4,2,3] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,1,4,3,2] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,2,1,3,4] => [1,6,3,7,4,2,5] => ([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,2,1,4,3] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,2,3,1,4] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,2,3,4,1] => [1,6,4,2,5,3,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,2,4,1,3] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,2,4,3,1] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,3,1,2,4] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,3,1,4,2] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,3,2,1,4] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,3,2,4,1] => [1,6,4,3,7,2,5] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,3,4,1,2] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,3,4,2,1] => [1,6,2,5,4,3,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,5,7,4,1,2,3] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,4,1,3,2] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,4,2,1,3] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,4,2,3,1] => [1,6,3,7,2,5,4] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,4,3,1,2] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,5,7,4,3,2,1] => [1,6,2,5,3,7,4] => ([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,3,4,5] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,3,5,4] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,4,3,5] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,4,5,3] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,5,3,4] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,2,5,4,3] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,3,2,4,5] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,3,2,5,4] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,3,4,2,5] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,3,4,5,2] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,1,3,5,2,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,1,3,5,4,2] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,4,2,3,5] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,4,2,5,3] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,4,3,2,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,4,3,5,2] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,1,4,5,3,2] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,5,2,3,4] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,5,2,4,3] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,5,3,2,4] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,1,5,3,4,2] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,1,5,4,2,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,1,5,4,3,2] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,3,4,5] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,3,5,4] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,4,3,5] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,4,5,3] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,5,3,4] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,1,5,4,3] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,3,1,4,5] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,3,1,5,4] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,3,4,1,5] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,3,4,5,1] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,2,3,5,1,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,2,3,5,4,1] => [1,6,4,3,2,7,5] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,4,1,3,5] => [1,6,3,2,7,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,4,1,5,3] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,4,3,1,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,4,3,5,1] => [1,6,5,3,2,7,4] => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,4,5,1,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,2,4,5,3,1] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,5,1,3,4] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,5,1,4,3] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,5,3,1,4] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,2,5,3,4,1] => [1,6,4,5,3,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,2,5,4,1,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,2,5,4,3,1] => [1,6,3,2,7,4,5] => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,1,2,4,5] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,1,2,5,4] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,1,4,2,5] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,1,4,5,2] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,1,5,2,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,3,1,5,4,2] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,2,1,4,5] => [1,6,4,2,7,5,3] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,2,1,5,4] => [1,6,5,2,7,4,3] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,2,4,1,5] => [1,6,2,7,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,2,4,5,1] => [1,6,5,4,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,2,5,1,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,3,2,5,4,1] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,4,1,2,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,4,1,5,2] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,4,2,1,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,4,2,5,1] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,4,5,1,2] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,3,4,5,2,1] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,3,5,1,2,4] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,5,1,4,2] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,5,2,1,4] => [1,6,2,7,4,5,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,5,2,4,1] => [1,6,4,5,2,7,3] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,3,5,4,1,2] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,3,5,4,2,1] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,1,2,3,5] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,1,2,5,3] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,1,3,2,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,1,3,5,2] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,4,1,5,2,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,1,5,3,2] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,2,1,3,5] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,2,1,5,3] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,2,3,1,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,2,3,5,1] => [1,6,5,3,4,2,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,2,5,3,1] => [1,6,3,4,2,7,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,3,1,2,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,3,1,5,2] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,3,2,1,5] => [1,6,2,7,5,3,4] => ([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,3,2,5,1] => [1,6,5,2,7,3,4] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,4,3,5,1,2] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,3,5,2,1] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,5,1,3,2] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,4,5,2,1,3] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,5,2,3,1] => [1,6,3,4,5,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,4,5,3,1,2] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,4,5,3,2,1] => [1,6,2,7,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,1,2,3,4] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,1,2,4,3] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,1,3,2,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,1,3,4,2] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,1,4,2,3] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,1,4,3,2] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,5,2,1,3,4] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,2,1,4,3] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,2,3,1,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,2,3,4,1] => [1,6,4,2,7,3,5] => ([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,2,4,1,3] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,2,4,3,1] => [1,6,3,5,4,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,5,3,1,2,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,3,1,4,2] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,5,3,2,1,4] => [1,6,2,7,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,3,2,4,1] => [1,6,4,3,5,2,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => 1

[6,7,5,3,4,1,2] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,3,4,2,1] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,4,1,2,3] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,4,1,3,2] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,4,2,1,3] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,4,2,3,1] => [1,6,3,5,2,7,4] => ([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[6,7,5,4,3,1,2] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[6,7,5,4,3,2,1] => [1,6,2,7,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => 1

[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,3,4,6,5] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,3,5,4,6] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,3,5,6,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,3,6,4,5] => [1,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,3,6,5,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,3,5,6] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,3,6,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,5,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,5,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,6,3,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,4,6,5,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,3,6,4] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,4,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,4,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,5,6,4,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,3,4,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,4,5,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,5,3,4] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,2,6,5,4,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,4,5,6] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,4,6,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,5,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,5,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,6,4,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,2,6,5,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,2,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,2,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,5,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,6,2,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,2,4,6] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,2,6,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,4,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,6,2,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,2,4,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,2,5,4] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,4,2,5] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,4,5,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,5,2,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,3,6,5,4,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,3,5,6] => [1,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,3,6,5] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,5,3,6] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,5,6,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,6,3,5] => [1,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,2,6,5,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,2,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,2,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,5,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,6,2,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,2,3,6] => [1,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,2,6,3] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,3,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,6,2,3] => [1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,2,5,3] => [1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,3,2,5] => [1,7,5,3,4,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,3,5,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,5,2,3] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,4,6,5,3,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,3,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,3,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,4,3,6] => [1,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,4,6,3] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,6,3,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,2,6,4,3] => [1,7,3,5,6,4,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,2,4,6] => [1,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,2,6,4] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,4,2,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,4,6,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,6,2,4] => [1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,3,6,4,2] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,2,3,6] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,2,6,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,3,2,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,3,6,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,6,2,3] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,4,6,3,2] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,2,3,4] => [1,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,2,4,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,3,2,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,3,4,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,4,2,3] => [1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,5,6,4,3,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,3,4,5] => [1,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,3,5,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,4,3,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,5,3,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,2,5,4,3] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,2,4,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,2,5,4] => [1,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,4,5,2] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,5,2,4] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,3,5,4,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,2,3,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,2,5,3] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,3,2,5] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,3,5,2] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,5,2,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,4,5,3,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,2,3,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,2,4,3] => [1,7,3,6,4,5,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,3,4,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,4,2,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,1,6,5,4,3,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,4,6,5] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,5,4,6] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,5,6,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,6,4,5] => [1,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,3,6,5,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,3,5,6] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,3,6,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,5,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,5,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,6,3,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,4,6,5,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,3,4,6] => [1,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,3,6,4] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,4,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,4,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,6,3,4] => [1,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,5,6,4,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,3,4,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,3,5,4] => [1,7,4,6,5,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,4,3,5] => [1,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,4,5,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,5,3,4] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,1,6,5,4,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,4,5,6] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,4,6,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,5,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,5,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,6,4,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,1,6,5,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,1,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,1,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,5,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,6,1,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,1,4,6] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,1,6,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,4,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,6,1,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,1,4,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,1,5,4] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,4,1,5] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,4,5,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,5,1,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,3,6,5,4,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,3,5,6] => [1,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,3,6,5] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,5,3,6] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,5,6,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,6,3,5] => [1,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,1,6,5,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,1,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,1,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,5,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,6,1,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,1,3,6] => [1,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,1,6,3] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,3,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,6,1,3] => [1,7,3,4,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,1,3,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,1,5,3] => [1,7,3,4,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,3,1,5] => [1,7,5,3,4,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,3,5,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,5,1,3] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,4,6,5,3,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,3,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,3,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,4,3,6] => [1,7,6,3,5,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,4,6,3] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,6,3,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,1,4,6] => [1,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,1,6,4] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,4,1,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,4,6,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,6,1,4] => [1,7,4,3,5,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,3,6,4,1] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,1,3,6] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,1,6,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,3,1,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,3,6,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,6,1,3] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,4,6,3,1] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,1,3,4] => [1,7,4,6,3,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,1,4,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,3,1,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,3,4,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,4,1,3] => [1,7,3,5,4,6,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,5,6,4,3,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,3,4,5] => [1,7,5,3,6,4,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,3,5,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,4,3,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,4,5,3] => [1,7,3,6,5,4,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,5,3,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,1,5,4,3] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,1,4,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,4,5,1] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,5,1,4] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,3,5,4,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,1,3,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,1,5,3] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,3,1,5] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,3,5,1] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,5,1,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,4,5,3,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,1,3,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,1,4,3] => [1,7,3,6,4,5,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,3,1,4] => [1,7,4,5,3,6,2] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,3,4,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,4,1,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,2,6,5,4,3,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,4,5,6] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,4,6,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,5,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,5,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,6,4,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,2,6,5,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,2,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,2,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,5,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,6,2,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,2,4,6] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,2,6,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,4,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,6,2,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,2,5,4] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,4,2,5] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,4,5,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,5,2,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,1,6,5,4,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,4,5,6] => [1,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,4,6,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,5,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,5,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,6,4,5] => [1,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,1,6,5,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,1,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,1,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,5,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,6,1,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,1,4,6] => [1,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,1,6,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,4,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,6,1,4] => [1,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,1,4,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,1,5,4] => [1,7,4,6,5,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,4,1,5] => [1,7,5,4,6,2,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,4,5,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,5,1,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,2,6,5,4,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,2,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,2,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,5,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,6,2,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,1,5,6] => [1,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,1,6,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,5,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,6,1,5] => [1,7,5,6,2,3,4] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,1,2,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,2,1,6] => [1,7,6,2,3,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,1,5,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,2,1,5] => [1,7,5,2,3,4,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,2,5,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,5,1,2] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,4,6,5,2,1] => [1,7,2,3,4,6,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,2,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,2,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,4,2,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,4,6,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,6,2,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,1,6,4,2] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,1,4,6] => [1,7,6,4,2,3,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,1,6,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,4,1,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,4,6,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,6,1,4] => [1,7,4,2,3,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,2,6,4,1] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,1,2,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,1,6,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,2,1,6] => [1,7,6,2,3,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,2,6,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,6,1,2] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,4,6,2,1] => [1,7,2,3,5,6,4] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,1,2,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,1,4,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,2,1,4] => [1,7,4,6,2,3,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,2,4,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,4,1,2] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,5,6,4,2,1] => [1,7,2,3,5,4,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,2,4,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,2,5,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,4,2,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,4,5,2] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,5,2,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,1,5,4,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,1,4,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,1,5,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,4,1,5] => [1,7,5,4,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,4,5,1] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,5,1,4] => [1,7,4,2,3,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,2,5,4,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,1,2,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,1,5,2] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,2,1,5] => [1,7,5,2,3,6,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,2,5,1] => [1,7,2,3,6,5,4] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,5,1,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,4,5,2,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,1,2,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,1,4,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,2,1,4] => [1,7,4,5,2,3,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,2,4,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,4,1,2] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,3,6,5,4,2,1] => [1,7,2,3,6,4,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,3,5,6] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,3,6,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,5,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,5,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,6,3,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,2,6,5,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,2,5,6] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,2,6,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,5,2,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,5,6,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,6,2,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,3,6,5,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,2,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,2,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,3,2,6] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,3,6,2] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,6,2,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,5,6,3,2] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,2,3,5] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,2,5,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,3,2,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,3,5,2] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,5,2,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,1,6,5,3,2] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,3,5,6] => [1,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,3,6,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,5,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,5,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,6,3,5] => [1,7,5,6,3,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,1,6,5,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,1,5,6] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,1,6,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,5,1,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,5,6,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,6,1,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,3,6,5,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,1,3,6] => [1,7,6,3,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,1,6,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,3,1,6] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,3,6,1] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,6,1,3] => [1,7,3,2,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,5,6,3,1] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,1,3,5] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,1,5,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,3,1,5] => [1,7,5,3,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,3,5,1] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,5,1,3] => [1,7,3,2,4,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,2,6,5,3,1] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,2,5,6] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,2,6,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,5,2,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,5,6,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,6,2,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,1,6,5,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,1,5,6] => [1,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,1,6,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,5,1,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,5,6,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,6,1,5] => [1,7,5,6,2,4,3] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,2,6,5,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,1,2,6] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,1,6,2] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,2,1,6] => [1,7,6,2,4,5,3] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,2,6,1] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,6,1,2] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,5,6,2,1] => [1,7,2,4,5,6,3] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,1,2,5] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,1,5,2] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,2,1,5] => [1,7,5,2,4,6,3] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,2,5,1] => [1,7,2,4,6,5,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,5,1,2] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,3,6,5,2,1] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,2,3,6] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,2,6,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,3,2,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,3,6,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,6,2,3] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,1,6,3,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,1,3,6] => [1,7,6,3,5,2,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,1,6,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,3,1,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,3,6,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,6,1,3] => [1,7,3,5,6,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,2,6,3,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,1,2,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,1,6,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,2,1,6] => [1,7,6,2,4,3,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,2,6,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,6,1,2] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,3,6,2,1] => [1,7,2,4,3,5,6] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,1,2,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,1,3,2] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,2,1,3] => [1,7,3,5,2,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,2,3,1] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,3,1,2] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,5,6,3,2,1] => [1,7,2,4,6,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,2,3,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,2,5,3] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,3,2,5] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,3,5,2] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,5,2,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,1,5,3,2] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,1,3,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,1,5,3] => [1,7,3,6,5,2,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,3,1,5] => [1,7,5,3,6,2,4] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,3,5,1] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,5,1,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,2,5,3,1] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,1,2,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,1,5,2] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,2,1,5] => [1,7,5,2,4,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,2,5,1] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,5,1,2] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,3,5,2,1] => [1,7,2,4,3,6,5] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,1,2,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,1,3,2] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,2,1,3] => [1,7,3,6,2,4,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,2,3,1] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,3,1,2] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,4,6,5,3,2,1] => [1,7,2,4,5,3,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,3,4,6] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,3,6,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,4,3,6] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,4,6,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,6,3,4] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,2,6,4,3] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,2,4,6] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,2,6,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,4,2,6] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,4,6,2] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,6,2,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,3,6,4,2] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,2,3,6] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,2,6,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,3,2,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,3,6,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,6,2,3] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,4,6,3,2] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,2,3,4] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,2,4,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,3,2,4] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,3,4,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,4,2,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,1,6,4,3,2] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,3,4,6] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,3,6,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,4,3,6] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,4,6,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,6,3,4] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,1,6,4,3] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,1,4,6] => [1,7,6,4,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,1,6,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,4,1,6] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,4,6,1] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,6,1,4] => [1,7,4,3,2,5,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,3,6,4,1] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,1,3,6] => [1,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,1,6,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,3,1,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,3,6,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,6,1,3] => [1,7,3,2,5,6,4] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,4,6,3,1] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,1,3,4] => [1,7,4,6,3,2,5] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,1,4,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,3,1,4] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,3,4,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,4,1,3] => [1,7,3,2,5,4,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,2,6,4,3,1] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,2,4,6] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,2,6,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,4,2,6] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,4,6,2] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,6,2,4] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,1,6,4,2] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,1,4,6] => [1,7,6,4,2,5,3] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,1,6,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,4,1,6] => [1,7,6,2,5,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,4,6,1] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,6,1,4] => [1,7,4,2,5,6,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,2,6,4,1] => [1,7,2,5,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,1,2,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,1,6,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,2,1,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,2,6,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,6,1,2] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,4,6,2,1] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,1,2,4] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,1,4,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,2,1,4] => [1,7,4,6,2,5,3] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,2,4,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,4,1,2] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,3,6,4,2,1] => [1,7,2,5,4,6,3] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,2,3,6] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,2,6,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,3,2,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,3,6,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,6,2,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,1,6,3,2] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,1,3,6] => [1,7,6,3,4,2,5] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,1,6,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,3,1,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,3,6,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,6,1,3] => [1,7,3,4,2,5,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,2,6,3,1] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,1,2,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,1,6,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,2,1,6] => [1,7,6,2,5,3,4] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,2,6,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,6,1,2] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,3,6,2,1] => [1,7,2,5,6,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,1,2,3] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,1,3,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,2,1,3] => [1,7,3,4,6,2,5] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,2,3,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,3,1,2] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,4,6,3,2,1] => [1,7,2,5,3,4,6] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,2,3,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,2,4,3] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,3,2,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,3,4,2] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,4,2,3] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,1,4,3,2] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,1,3,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,1,4,3] => [1,7,3,6,4,2,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,3,1,4] => [1,7,4,2,5,3,6] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,3,4,1] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,4,1,3] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,2,4,3,1] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,1,2,4] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,1,4,2] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,2,1,4] => [1,7,4,3,6,2,5] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,2,4,1] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,4,1,2] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,3,4,2,1] => [1,7,2,5,4,3,6] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,1,2,3] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,1,3,2] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,2,1,3] => [1,7,3,6,2,5,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,2,3,1] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,3,1,2] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,5,6,4,3,2,1] => [1,7,2,5,3,6,4] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,3,4,5] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,3,5,4] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,4,3,5] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,4,5,3] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,5,3,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,2,5,4,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,2,4,5] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,2,5,4] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,4,2,5] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,4,5,2] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,5,2,4] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,3,5,4,2] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,2,3,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,2,5,3] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,3,2,5] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,3,5,2] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,5,2,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,4,5,3,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,2,3,4] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,2,4,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,3,2,4] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,3,4,2] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,4,2,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,1,5,4,3,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,3,4,5] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,3,5,4] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,4,3,5] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,4,5,3] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,5,3,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,1,5,4,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,1,4,5] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,1,5,4] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,4,1,5] => [1,7,5,4,3,2,6] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,4,5,1] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,5,1,4] => [1,7,4,3,2,6,5] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,3,5,4,1] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,1,3,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,1,5,3] => [1,7,3,2,6,5,4] => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,3,1,5] => [1,7,5,3,2,6,4] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,3,5,1] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,5,1,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,4,5,3,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,1,3,4] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,1,4,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,3,1,4] => [1,7,4,5,3,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,3,4,1] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,4,1,3] => [1,7,3,2,6,4,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,2,5,4,3,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,2,4,5] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,2,5,4] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,4,2,5] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,4,5,2] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,5,2,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,1,5,4,2] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,1,4,5] => [1,7,5,2,6,4,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,1,5,4] => [1,7,4,2,6,5,3] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,4,1,5] => [1,7,5,4,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,4,5,1] => [1,7,2,6,5,4,3] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,5,1,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,2,5,4,1] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,1,2,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,1,5,2] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,2,1,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,2,5,1] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,5,1,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,4,5,2,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,1,2,4] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,1,4,2] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,2,1,4] => [1,7,4,5,2,6,3] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,2,4,1] => [1,7,2,6,4,5,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,4,1,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,3,5,4,2,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,2,3,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,2,5,3] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,3,2,5] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,3,5,2] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,5,2,3] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,1,5,3,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,1,3,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,1,5,3] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,3,1,5] => [1,7,5,3,4,2,6] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,3,5,1] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,5,1,3] => [1,7,3,4,2,6,5] => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,2,5,3,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,1,2,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,1,5,2] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,2,1,5] => [1,7,5,2,6,3,4] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,2,5,1] => [1,7,2,6,5,3,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,5,1,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,3,5,2,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,1,3,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,2,1,3] => [1,7,3,4,5,2,6] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,2,3,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,3,1,2] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,4,5,3,2,1] => [1,7,2,6,3,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,2,3,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,2,4,3] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,3,2,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,3,4,2] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,4,2,3] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,1,4,3,2] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,1,3,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,1,4,3] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,3,1,4] => [1,7,4,2,6,3,5] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,3,4,1] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,4,1,3] => [1,7,3,5,4,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,2,4,3,1] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,1,2,4] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,1,4,2] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,2,1,4] => [1,7,4,3,5,2,6] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,2,4,1] => [1,7,2,6,4,3,5] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,4,1,2] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,3,4,2,1] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,1,2,3] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,1,3,2] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,2,1,3] => [1,7,3,5,2,6,4] => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,2,3,1] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,3,1,2] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => 1

[8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,4,3,2,1] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,4,3,2,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,4,3,2,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,4,3,2,1] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,4,5,3,2,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,4,5,3,2,1] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,4,6,3,2,1] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,6,3,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,7,3,2,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,5,8,3,2,1] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,5,3,4,2,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,3,4,2,1] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,3,4,2,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,7,8,3,4,2,1] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[8,7,6,4,3,5,2,1] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,3,4,5,2,1] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,4,3,6,2,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,3,6,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,4,6,2,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,3,5,6,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,4,5,6,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,3,4,5,6,2,1] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,4,6,3,7,2,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,6,7,2,1] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,6,3,8,2,1] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,4,7,3,8,2,1] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,3,4,5,7,8,2,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,6,5,4,2,3,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,6,4,2,3,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,4,2,3,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,4,5,2,3,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,4,6,2,3,1] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,6,2,3,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,5,6,2,3,1] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,4,5,7,2,3,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,3,2,4,1] => [1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,3,2,4,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,2,3,4,1] => [1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,2,3,4,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,7,8,3,2,4,5,1] => [1,6,4,3,8,2,7,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[8,7,4,3,5,2,6,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,2,4,6,1] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,3,4,5,6,1] => [1,8,2,7,6,5,4,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,3,2,7,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,3,2,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,6,3,2,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,3,4,2,7,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,3,5,2,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,4,5,2,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,2,3,7,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,2,3,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,3,2,4,7,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,3,2,5,7,1] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,2,3,5,7,1] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,3,2,6,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,4,2,6,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,3,6,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,5,7,2,8,1] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,4,5,2,7,8,1] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[3,4,5,6,2,7,8,1] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,4,6,2,3,7,8,1] => [1,5,3,6,7,8,2,4] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,5,6,2,3,7,8,1] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,6,2,3,4,7,8,1] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[6,2,3,4,5,7,8,1] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[5,4,3,2,6,7,8,1] => [1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,3,4,2,6,7,8,1] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[3,4,5,2,6,7,8,1] => [1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,4,2,3,6,7,8,1] => [1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,3,2,4,6,7,8,1] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[5,2,3,4,6,7,8,1] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[8,7,6,5,4,3,1,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,4,3,1,2] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,4,3,1,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,4,3,1,2] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,4,3,1,2] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,4,5,3,1,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,4,5,3,1,2] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,4,6,3,1,2] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,5,6,3,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,6,4,5,7,3,1,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,5,8,3,1,2] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,5,3,4,1,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,3,4,1,2] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,3,4,1,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,7,8,3,4,1,2] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[8,7,6,3,4,5,1,2] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,3,6,1,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,5,3,6,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,4,3,5,6,1,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,3,5,6,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,3,4,5,6,1,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,3,4,5,6,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,4,6,3,7,1,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,6,7,1,2] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,6,3,8,1,2] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,4,7,3,8,1,2] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,5,6,3,4,8,1,2] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,6,8,1,2] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,4,3,5,7,8,1,2] => [1,6,8,2,4,5,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,5,7,8,1,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,6,5,4,2,1,3] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,5,8,4,2,1,3] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,4,5,6,2,1,3] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,5,8,2,1,3] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,6,5,4,1,2,3] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,5,8,4,1,2,3] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,5,4,6,1,2,3] => [1,8,3,5,6,2,7,4] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,6,1,2,3] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,5,6,1,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,4,5,8,1,2,3] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,5,3,2,1,4] => [1,8,4,5,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,3,2,1,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,3,2,1,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,3,2,1,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,3,2,1,4] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,7,8,3,2,1,4] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[7,8,6,5,2,3,1,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,6,5,7,2,3,1,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,2,3,1,4] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,5,3,1,2,4] => [1,8,4,5,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,6,5,3,1,2,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,5,6,3,1,2,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,3,1,2,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,3,1,2,4] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,7,8,3,1,2,4] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[7,6,8,5,2,1,3,4] => [1,7,3,8,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,6,2,1,3,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,8,5,1,2,3,4] => [1,7,3,8,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,6,1,2,3,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,3,4,2,1,5] => [1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,3,4,1,2,5] => [1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,2,3,1,6] => [1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,3,4,5,1,6] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,3,2,1,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,3,2,1,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,6,3,2,1,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,3,4,2,1,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,6,3,4,2,1,7] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,3,5,2,1,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,6,2,1,7] => [1,8,7,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,2,3,1,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,2,3,1,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,3,2,5,1,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,2,3,5,1,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,3,2,6,1,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,2,6,1,7] => [1,8,7,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,3,6,1,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,2,4,6,1,7] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,3,4,6,1,7] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,3,1,2,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,3,1,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,3,4,1,2,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,6,3,4,1,2,7] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,4,5,1,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,6,1,2,7] => [1,8,7,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,2,1,3,7] => [1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,2,1,3,7] => [1,8,7,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,1,2,3,7] => [1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,1,2,3,7] => [1,8,7,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,3,2,1,4,7] => [1,8,7,4,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,2,3,1,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,2,1,3,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,2,3,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,2,3,1,5,7] => [1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,3,4,1,5,7] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,3,2,1,6,7] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,5,2,1,6,7] => [1,8,7,6,2,4,5,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,5,2,1,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,2,3,1,6,7] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,3,4,1,6,7] => [1,8,7,6,2,5,4,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,3,5,1,6,7] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,5,1,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,5,1,2,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,1,3,6,7] => [1,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,2,3,6,7] => [1,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,2,1,5,6,7] => [1,8,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,2,1,5,6,7] => [1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,3,1,5,6,7] => [1,8,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,1,5,6,7] => [1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,1,2,5,6,7] => [1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,3,5,6,7] => [1,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,3,5,6,7] => [1,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,4,5,6,7] => [1,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,4,5,6,7] => [1,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,7,4,3,2,1,8] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[7,6,4,5,3,2,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,6,3,2,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,4,6,7,3,2,1,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,6,5,3,4,2,1,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,6,3,4,2,1,8] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,4,3,5,2,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,3,4,5,2,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,6,2,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,4,2,3,1,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,4,5,2,3,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,6,2,3,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,3,2,4,1,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,7,3,2,4,1,8] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,2,3,4,1,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,7,2,3,4,1,8] => [1,5,3,7,2,6,4,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[7,5,4,3,2,6,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,2,6,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,4,2,6,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,3,5,2,6,1,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,2,3,6,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,2,3,6,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,2,4,6,1,8] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,2,3,5,6,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,4,5,2,7,1,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,4,5,6,2,7,1,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[6,3,2,4,5,7,1,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,2,3,4,5,7,1,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,2,3,4,6,7,1,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[4,3,2,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,2,3,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[7,6,5,4,3,1,2,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,4,5,3,1,2,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,4,6,7,3,1,2,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,6,5,3,4,1,2,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,6,3,4,1,2,8] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,4,5,7,1,2,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,4,5,3,2,1,6,8] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,3,5,2,1,6,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,5,2,1,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,2,3,5,1,6,8] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,4,5,1,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,4,5,2,1,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,4,5,6,2,1,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,4,6,2,3,1,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,6,2,3,4,1,7,8] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[6,2,3,4,5,1,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,2,4,5,6,1,7,8] => [1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,4,5,6,1,2,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,2,1,3,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,1,2,3,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,3,2,1,6,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,5,2,1,6,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,3,2,5,1,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,2,3,5,1,6,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,4,5,1,2,6,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,2,1,3,6,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,1,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,2,1,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[5,1,2,3,4,6,7,8] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[5,8,7,6,4,3,2,1] => [1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,8,7,6,4,2,1] => [1,3,8,2,5,6,4,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,7,6,5,8,4,2,1] => [1,3,6,4,5,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,4,8,7,6,5,2,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,6,5,4,3,1] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,7,8,5,4,3,1] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[2,6,5,7,8,4,3,1] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,2,8,7,6,5,4,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,2,6,8,7,5,4,1] => [1,3,6,5,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,6,5,8,7,4,1] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,5,6,7,8,4,1] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,7,8,6,5,1] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,6,7,8,5,1] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,3,5,2,8,7,6,1] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,4,5,3,7,8,6,1] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,2,5,7,8,6,1] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,5,4,3,2,8,7,1] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,3,5,6,4,8,7,1] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,4,6,5,8,7,1] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,5,3,6,8,7,1] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,2,5,6,8,7,1] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,5,4,7,6,3,8,1] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,4,5,6,7,3,8,1] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,2,6,5,7,4,8,1] => [1,3,6,4,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,2,6,7,5,8,1] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,4,7,6,5,8,1] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[3,5,4,2,7,6,8,1] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,5,2,7,6,8,1] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,4,3,6,7,8,1] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,2,5,4,6,7,8,1] => [1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,7,6,5,4,3,2] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,7,8,5,4,3,2] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[1,6,5,7,8,4,3,2] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,3,6,7,5,8,4,2] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,3,5,6,7,8,4,2] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,3,7,6,8,5,2] => [1,2,4,7,5,6,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,4,6,7,8,5,2] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,5,3,7,8,6,2] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,3,6,8,7,2] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,6,7,3,8,2] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,4,7,6,5,8,2] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,4,3,6,7,8,2] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,1,6,7,5,8,4,3] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,1,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,6,4,8,7,3] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,5,7,8,6,4] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,5,6,8,7,4] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,6,7,5,8,4] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,2,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,2,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,3,2,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,2,1,7,6,8,5] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,4,2,1,7,8,6,5] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,2,1,6,8,7,5] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,1,7,8,6,5] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,1,6,8,7,5] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,4,1,8,7,6,5] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,4,1,7,6,8,5] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,4,3,2,6,8,7,5] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,4,7,8,6,5] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,4,6,8,7,5] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,4,5,2,1,7,8,6] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,5,3,1,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,5,4,1,7,8,6] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,5,4,1,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,3,2,5,1,7,8,6] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[3,4,2,5,1,8,7,6] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,4,5,3,2,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,4,2,1,5,8,7,6] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,1,5,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,4,3,2,5,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,4,5,8,7,6] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,3,6,5,2,1,8,7] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,5,3,6,2,1,8,7] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,4,5,6,2,1,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,6,4,3,1,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,2,6,5,1,8,7] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,6,5,1,8,7] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,5,6,4,3,2,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,6,5,4,8,7] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,5,3,2,1,6,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,5,2,1,6,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,2,5,4,1,6,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,5,7,6,3,2,1,8] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,5,4,7,6,3,1,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,4,5,6,7,3,1,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,2,5,7,6,4,1,8] => [1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,6,5,7,4,1,8] => [1,3,6,4,5,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,6,7,5,4,1,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,5,6,7,4,1,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,2,6,7,5,1,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,2,5,7,6,1,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,5,6,7,1,8] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,5,4,7,6,3,2,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,4,5,6,7,3,2,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,6,7,5,4,2,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,6,7,4,2,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,4,7,6,2,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,6,5,4,7,2,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,4,3,5,6,7,2,8] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,6,7,5,4,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,4,3,2,7,6,5,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,4,7,6,5,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,5,3,2,1,7,6,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,5,2,1,7,6,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,2,5,4,1,7,6,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[4,3,6,5,2,1,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,4,5,6,3,1,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,3,6,5,1,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,6,4,3,2,7,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,5,6,3,2,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,3,6,5,2,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,1,6,5,4,7,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[3,2,5,4,1,6,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([],8) => [1,1,1,1,1,1,1,1] => 0

[1,2,3,7,5,6,8,4] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,4,7,5,6,8,3] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,2,7,5,6,8,4] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,3,6,4,5,7,2,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,3,8,4,5,6,7,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,4,6,5,7,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,4,6,7,5,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,5,4,6,7,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,5,4,7,6,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,5,6,7,4,2] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,5,3,4,6,2,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,3,4,6,2,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,3,4,6,7,8,2] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,7,3,4,5,6,2,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,7,3,4,5,6,8,2] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,3,4,7,6,5,2] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,3,5,4,6,2,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,3,5,7,6,4,2] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,6,5,4,7,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,4,3,6,5,8,2] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,7,4,5,3,6,8,2] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,7,4,5,6,3,2,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,7,4,5,6,3,8,2] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,4,6,5,3,7,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,6,5,7,3,2] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,3,6,7,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,3,7,6,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,6,3,7,2] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,6,7,3,2] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,4,5,3,7,2] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,4,5,6,3,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,4,6,5,3,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,5,4,3,7,2] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,5,4,6,3,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,5,6,4,3,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,4,5,7,6,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,4,6,5,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,1,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,4,7,5,6,8,1] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,8,4,5,6,7,1] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,4,6,7,5,1] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,5,4,6,7,1] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,5,6,4,7,1] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,5,6,7,4,1] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,5,3,4,6,7,8,1] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,6,3,4,5,7,8,1] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[2,7,3,4,5,6,1,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,6,3,5,4,7,8,1] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[2,7,3,5,4,6,8,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,7,3,5,6,4,8,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,8,3,5,7,6,4,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,4,3,5,7,8,1] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[2,7,4,3,5,6,8,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,7,4,3,6,5,8,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,8,4,3,7,6,5,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,4,5,3,7,8,1] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[2,7,4,5,6,3,1,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,7,4,5,6,3,8,1] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,8,4,6,5,3,7,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,4,3,6,7,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,4,3,7,6,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,4,6,7,3,1] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,4,5,6,3,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,4,6,5,3,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,4,6,3,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,6,4,3,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,4,1,8,6,7,5] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,8,6,5,7,4,1] => [1,3,8,2,4,6,7,5] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,7,5,6,4,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,2,3,1,7,6,8,5] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,3,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,3,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,3,5,1,6,8,7] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,2,3,5,1,7,8,6] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[6,2,3,4,5,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,3,4,5,8,7,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,2,3,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,3,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,3,5,4,7,1,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,2,3,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[7,2,3,6,5,4,1,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,7,5,6,4,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,7,6,5,4,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,4,3,6,7,1,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[6,2,4,3,5,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,4,5,3,1,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,4,5,3,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,4,5,3,8,7,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,2,4,6,5,3,1,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,7,5,6,3,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,7,6,5,3,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,4,3,6,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,4,5,3,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,4,5,3,7,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,6,5,4,3,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,5,4,3,7,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,2,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,3,2,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,2,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,2,5,4,7,1,8] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,2,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[6,3,2,5,4,8,7,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,3,2,6,5,7,4,1] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,7,5,6,4,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,7,6,5,4,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,2,5,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,4,5,2,1,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,4,5,2,8,7,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,3,4,6,5,2,1,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,4,7,6,5,2,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,5,4,2,6,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,4,6,7,2,1] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,6,4,5,2,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,4,5,2,7,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,6,5,4,2,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,5,4,2,7,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,3,2,6,5,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,4,2,7,6,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,4,6,5,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,5,4,2,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,3,5,4,2,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,4,6,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,6,4,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,5,4,2,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,3,2,7,6,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,3,6,5,2,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,5,3,2,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,6,1,3,5,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,3,6,8,5,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,6,3,8,5,7] => [1,2,4,6,8,7,5,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,4,6,8,3,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,6,1,3,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,6,7,3,5,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,1,6,3,7,8,5] => [1,2,4,6,7,8,5,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,1,6,7,3,8,5] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,6,1,7,3,8,5] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,6,7,8,3,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,1,3,7,8,5,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,7,8,3,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,5,1,7,3,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,5,7,3,8,6] => [1,2,4,5,7,8,6,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,1,7,8,3,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,8,3,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,8,1,3,5,6,7] => [1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[2,4,1,5,8,3,6,7] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,6,1,3,8,7] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,1,5,6,8,3,7] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,1,6,8,3,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,5,6,1,3,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,1,5,6,7,3,8] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,4,5,6,7,1,3,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,5,6,7,1,8,3] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,6,1,3,4,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,1,3,6,8,4,7] => [1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,5,6,7,3,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,5,1,3,6,7,8,4] => [1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,6,7,1,3,8,4] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,6,7,8,3,4] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,1,7,3,4,8,6] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,1,5,3,7,8,4,6] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,7,3,8,4,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,7,1,4,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,7,1,8,4,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,1,4,8,6,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,6,1,8,4,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,6,7,1,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,5,1,6,7,8,4] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,5,6,7,8,1,4] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,6,7,8,3,4,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,6,7,1,4,5,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,6,1,3,4,7,8,5] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,3,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,6,7,8,1,4,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,6,8,4,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,6,1,3,4,5,8,7] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,6,8,1,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,6,1,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,6,7,8,1,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,7,8,1,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,7,3,4,5,6,8] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,7,1,4,5,6,8] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,8,4,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,1,8,4,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,4,8,1,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,1,6,2,5,8,7] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,2,6,8,5,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,6,7,2,5,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,4,6,2,7,8,5] => [1,3,4,6,7,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,1,6,7,2,8,5] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,4,2,7,5,8,6] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,4,1,2,7,8,5,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,2,7,5,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,5,7,2,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,5,1,2,7,8,6] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,4,5,7,2,8,6] => [1,3,4,5,7,8,6,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,1,5,7,8,2,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,4,8,2,5,6,7] => [1,3,4,8,7,6,5,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,1,8,2,5,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[3,4,1,2,5,8,6,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,5,2,8,6,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,5,1,2,6,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,4,5,6,2,8,7] => [1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,4,5,6,1,2,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,1,5,6,8,2,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,4,5,6,2,7,8] => [1,3,4,5,6,2,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,4,5,6,1,7,2,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,5,1,6,7,8,2] => [1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,5,6,1,7,8,2] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,5,6,2,4,8,7] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,1,6,2,4,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,5,2,6,8,4,7] => [1,3,5,6,8,7,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,5,6,2,4,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,1,6,2,4,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,6,2,7,4,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,5,2,6,7,8,4] => [1,3,5,6,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,5,6,2,7,8,4] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,1,6,2,7,8,4] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,5,2,7,4,8,6] => [1,3,5,7,8,6,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,5,2,7,4,6,8] => [1,3,5,7,6,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,1,2,4,7,6,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,5,7,4,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,2,4,7,8,6] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,5,7,8,4,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,2,7,8,4,6] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,7,2,8,4,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,5,2,8,4,6,7] => [1,3,5,8,7,6,4,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,5,2,4,8,6,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,2,4,6,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,5,6,8,4,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,6,2,8,4,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,2,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,6,7,2,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,2,6,7,8,4] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,5,6,7,8,2,4] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,6,2,4,7,5,8] => [1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,6,2,4,7,8,5] => [1,3,6,7,8,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,2,6,7,4,8,5] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,2,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,6,7,8,2,4,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,6,2,4,8,5,7] => [1,3,6,8,7,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,2,6,8,4,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,6,4,5,8,7] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,4,6,8,5,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,6,8,2,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,6,7,8,2,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,7,2,4,5,8,6] => [1,3,7,8,6,5,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,2,4,7,8,5,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,4,7,8,2,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,7,1,2,4,5,6,8] => [1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[1,3,7,2,4,5,6,8] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,2,4,7,5,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,8,2,4,5,6,7] => [1,3,8,7,6,5,4,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,2,8,4,5,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[1,3,2,8,4,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,4,8,2,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[3,1,2,4,5,8,6,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,5,6,1,2,3,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,1,2,7,3,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,1,2,7,8,3] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,1,5,2,7,3,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,5,1,2,3,7,6,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,5,2,7,3,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,2,5,7,3,8,6] => [1,2,4,5,7,8,6,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,5,2,7,8,3,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,2,3,8,6,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,1,2,5,8,3,6,7] => [1,4,5,8,7,6,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,2,5,8,3,6,7] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,1,2,3,6,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,5,6,2,3,8,7] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,5,6,8,3,7] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,5,2,6,8,3,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,6,2,3,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,5,6,7,3,8] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,4,5,6,7,2,3,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,5,6,7,2,8,3] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,1,6,2,3,7,5,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,2,6,3,7,5,8] => [1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,2,6,7,3,5,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,6,2,7,3,5,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,1,2,6,3,7,8,5] => [1,4,6,7,8,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,2,7,3,8,5] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,1,2,6,3,8,5,7] => [1,4,6,8,7,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,2,6,3,8,5,7] => [1,2,4,6,8,7,5,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,6,2,3,5,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,4,6,8,3,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,6,2,3,5,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,4,6,7,8,3,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,1,7,2,3,8,5,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,7,1,2,3,5,8,6] => [1,4,2,7,8,6,5,3] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,2,7,3,5,8,6] => [1,4,7,8,6,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,2,3,7,8,5,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,4,7,8,3,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,3,7,5,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,1,8,2,3,5,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[4,1,2,8,3,5,6,7] => [1,4,8,7,6,5,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,8,2,3,5,6,7] => [1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[4,1,2,3,8,5,6,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[1,2,4,8,3,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,3,5,8,6,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,5,6,7,2,3,4,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,6,7,2,3,8,4] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,1,2,6,8,3,4,7] => [1,5,8,7,4,6,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,6,2,3,4,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,2,3,6,8,4,7] => [1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,5,6,3,8,4,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,5,6,2,3,4,7,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,1,2,3,6,7,4,8] => [1,5,6,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,2,3,6,7,8,4] => [1,5,6,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,3,6,7,8,4] => [1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,5,6,7,8,3,4] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,1,7,2,8,3,4,6] => [1,5,8,6,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,7,3,4,8,6] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,2,5,3,7,8,4,6] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,5,7,3,8,4,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,1,2,3,4,7,8,6] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[5,1,2,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,5,3,4,8,6,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,1,2,3,4,6,8,7] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[6,1,7,2,3,8,4,5] => [1,6,8,5,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,6,7,8,3,4,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,6,7,3,4,5,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[6,1,2,3,4,7,8,5] => [1,6,7,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,2,3,4,7,8,5] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,3,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[6,1,2,3,4,8,5,7] => [1,6,8,7,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,3,6,8,4,5,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,6,2,3,4,5,8,7] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,6,2,3,4,5,7,8] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,1,2,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,7,3,4,5,6,8] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,8,4,5,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[7,4,5,2,3,8,1,6] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,3,2,8,1,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,4,3,7,2,5,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,3,8,2,1,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,3,1,8,2,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,8,4,3,6,5,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,3,2,6,8,4,1,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,8,1,7,2,5,3] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[7,3,5,1,2,4,6,8] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,8,1,4,5,6,7] => [1,3,8,7,6,5,4,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,1,3,5,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[8,2,4,1,3,5,6,7] => [1,8,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,7,1,2,3,5,6] => [1,8,6,3,7,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,1,2,3,4,6] => [1,8,6,3,7,4,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,6,1,3,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,6,1,2,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,6,1,3,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,6,1,2,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,6,1,2,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,1,3,6,8] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,2,6,1,4,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,5,1,4,6,7] => [1,8,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,5,1,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,6,1,4,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,7,1,2,4,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,7,1,2,3,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,1,2,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,6,3,5,8,1,2,7] => [1,4,5,8,7,2,6,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,8,4,6,7,1,2,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[7,6,3,5,8,1,2,4] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,5,7,1,4,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,5,7,1,2,4] => [1,8,4,5,7,2,6,3] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,7,2,6,1,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,5,4,2,6,1,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,2,8,1,3,6] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,3,8,1,2,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,4,2,6,1,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,2,5,1,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,2,4,1,3,7] => [1,8,7,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,2,7,1,4,5] => [1,8,5,7,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,7,2,6,1,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,8,4,7,2,5,1,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,5,3,8,2,6,1,4] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,8,2,6,1,3] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,7,2,5,1,4] => [1,8,4,7,2,6,5,3] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,7,3,5,1,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,3,5,1,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,3,2,6,1,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,2,4,1,3] => [1,8,3,6,4,5,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,3,6,4,8,5] => [1,7,8,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,6,7,4,5] => [1,8,5,6,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,2,8,3,7,5,6] => [1,4,8,6,7,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,3,4,6,7] => [1,8,7,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,5,3,4,8,6] => [1,7,8,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,6,3,4,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,6,3,7,4,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,2,5,3,7,8,4] => [1,6,7,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,6,3,4,7] => [1,8,7,4,5,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,7,3,4,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,2,5,8,7,3,6] => [1,4,5,8,6,7,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,6,7,3,4] => [1,8,4,5,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,2,6,4,5,7] => [1,3,8,7,5,6,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,2,6,7,4,5] => [1,3,8,5,6,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,3,5,6,7] => [1,8,7,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,2,3,5,8,6] => [1,7,8,6,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,3,7,5,6] => [1,8,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,2,3,7,8,5] => [1,6,7,8,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,6,3,5,7] => [1,8,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,7,3,5,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,6,3,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,6,7,3,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,4,2,6,7,8,3] => [1,5,6,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,2,3,6,7] => [1,8,7,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,2,3,8,6] => [1,7,8,6,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,6,2,3,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,5,2,8,3,7] => [1,6,8,7,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,2,7,3,6] => [1,8,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,5,2,7,8,3] => [1,6,7,8,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,5,6,2,4,7] => [1,3,8,7,4,5,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,6,2,3,7] => [1,8,7,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,7,2,3,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,6,2,8,3] => [1,7,8,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,1,4,5,8,7,2,6] => [1,3,4,5,8,6,7,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,4,8,6,7,2,5] => [1,3,4,8,5,6,7,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,5,6,7,2,4] => [1,3,8,4,5,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,1,3,7,4,5,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,1,3,8,7,4,6] => [1,2,5,8,6,7,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,3,6,7,4,5] => [1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,6,3,7,4,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,5,6,3,4,7] => [1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,1,5,8,7,3,6] => [1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,1,8,6,7,3,5] => [1,2,4,8,5,6,7,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,5,6,7,3,4] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,2,4,5,8,6] => [1,7,8,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,4,7,5,6] => [1,8,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,6,4,5,7] => [1,8,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,7,4,5,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,3,1,2,6,7,8,4] => [1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,4,1,2,3,8,5,7] => [1,6,8,7,5,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,7,3,5,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,4,1,2,6,7,8,3] => [1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,1,5,2,4,6,7] => [1,8,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,6,2,4,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,2,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,5,6,2,4,7] => [1,8,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,5,7,2,4,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,6,2,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,1,6,3,8,5] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,8,5,1,6,7,3,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,4,1,6,7,8,3] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,4,1,2,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,1,2,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,1,2,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,1,7,2,5,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,1,6,2,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,6,2,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,1,6,7,2,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,1,6,7,2,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,6,7,2,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,3,4,1,6,7,8,2] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,8,4,5,1,3,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,5,1,3,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,1,7,3,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,4,5,1,7,8,3] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[7,3,4,5,1,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,5,1,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,4,5,1,7,2,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,1,7,2,3] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,5,1,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,3,4,7,6,1,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,8,4,5,6,1,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,6,1,3,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,4,5,6,1,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,3,4,5,7,1,2,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,8,5,6,7,1,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[] => [] => ([],0) => [] => 0

[3,5,2,6,1,4,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,2,6,4,1,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,5,6,2,3,1,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,2,1,3,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,1,6,4,2,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,5,6,1,3,2,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,5,7,4,8,3,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,5,7,4,8,6,3] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,6,7,8,4,5,3] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,6,7,8,4,3,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,2,1,7,8,5,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,2,7,8,6,5] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,5,7,3,8,6,4] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,4,7,6,2,3,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,5,4,7,6,1,8,3] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[5,3,4,8,6,7,1,2] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[6,2,8,3,1,5,7,4] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,3,7,1,6,8,4] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,1,2,8,7,5,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,5,4,1,2,8,3,6] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,1,2,8,3,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,6,8,1,7,2,3,5] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[6,3,8,2,1,5,7,4] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,2,1,8,7,5,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,2,1,7,5,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,2,1,8,5,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,6,8,4,7,2,5,3] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,8,3,4,6,5,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,5,2,8,3,7,6,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,6,8,4,7,1,5,3] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,5,1,8,3,7,6,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,3,8,1,7,6,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,3,4,8,7,6,1,2] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[4,1,3,2,8,7,6,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,1,2,8,7,6,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,5,3,8,2,7,6,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,6,8,2,7,1,5,3] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[3,1,4,2,8,7,6,5] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,3,2,5,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,5,3,7,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,1,4,3,7,6] => [1,8,6,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,1,4,3,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,3,8,2,6,5] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,3,7,2,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,6,3,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,3,2,7,5,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,1,4,2,8,5,7,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,3,2,8,5,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,3,7,1,4,2,6,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,5,2,8,3,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,1,7,3,8,2,6,4] => [1,5,8,4,3,7,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,8,3,6,1] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,8,2,6,1] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,1,8,2,6] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,5,8,3,6,2] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,7,4,8,3,5,2,1] => [1,6,5,3,4,8,2,7] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,7,8,3,1,4,5,2] => [1,6,4,3,8,2,7,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[5,1,6,7,3,2,8,4] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,4,2,5,1,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,3,4,2,5,7] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,6,2,4,1,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,5,8,3,6,1] => [1,7,6,3,4,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,5,6,1,3,7] => [1,8,7,3,4,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,4,5,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,1,3,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,6,4,1,2,7] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,6,3,2,7] => [1,8,7,2,4,5,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,5,8,3,2,6,1] => [1,7,6,2,4,8,3,5] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,3,6,7,2,8,5] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[6,2,4,1,7,8,5,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,7,2,1,3,5,8,6] => [1,4,2,7,8,6,5,3] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,2,7,8,1,5,3] => [1,4,7,5,8,3,2,6] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,2,7,3,5,1,8] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,6,7,4,5,1,8] => [1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,8,6,5,1,4,7] => [1,3,8,7,4,6,2,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,7,4,5,3,2] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,7,4,5,2,3] => [1,8,3,6,5,4,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,6,8,4,2,5,3] => [1,7,5,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,7,2,8,4,6,3] => [1,5,8,3,7,6,4,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,2,7,8,5,6,3] => [1,4,7,6,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,6,8,4,3,5,2] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,7,8,3,4,5,2] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[8,5,7,3,1,4,2,6] => [1,8,6,4,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,7,3,8,4,6,2] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,3,7,8,5,6,2] => [1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,2,3,8,1,6,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[7,4,3,1,8,2,6,5] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,7,3,5,2,4] => [1,8,4,7,2,6,5,3] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,8,7,2,5,4,3] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,2,8,3,6,5] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,2,8,4,6,3] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,7,4,6,2] => [1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,5,2,7,4,6,3] => [1,8,3,5,7,6,4,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,7,3,6,5] => [1,8,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,7,2,3,5,4] => [1,8,4,7,5,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,2,7,4,6,5] => [1,3,8,5,7,6,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,6,3,4,5,2] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,5,4,7,1,8,6] => [1,3,5,7,8,6,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,3,5,2,7,1,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,5,1,7,2,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,1,5,4,7,2,8,6] => [1,3,5,7,8,6,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,3,5,1,7,6,8,2] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,5,1,7,3,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,5,1,7,4,8,6] => [1,3,5,7,8,6,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,4,1,7,5,8,6] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,1,4,2,7,6,8,5] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,6,1,7,5,8,4] => [1,3,6,5,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,5,1,7,6,8,3] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,5,2,7,6,8,3] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,1,6,2,7,5,8,4] => [1,3,6,5,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,6,5,7,4,8,2] => [1,3,6,4,5,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,2,1,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,5,2,4,1,7] => [1,8,7,2,6,4,5,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,2,4,6,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,6,5,3,1,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,5,1,4,2,7] => [1,8,7,2,6,4,5,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,4,5,3,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,6,4,3,2,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,1,4,6,2] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,7,6,3,5,2,1] => [1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,5,8,6,7,4,2] => [1,3,5,6,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,4,1,8,7,5,2] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,2,6,1,4,7,5,3] => [1,8,3,6,7,5,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,3,5,6,8,2,4] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,6,7,5,8,2,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,6,8,5,7,2,4,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,2,6,1,4,7,8,5] => [1,3,6,7,8,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,3,2,1,5,8,6] => [1,4,2,7,8,6,5,3] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,3,2,1,6,4] => [1,8,4,3,7,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,5,7,4,1,3] => [1,8,3,6,4,5,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,7,6,4,3,1] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,5,6,4,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,7,2,1,4,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,5,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,3,1,2,5,6,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,8,1,5,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,1,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,2,4,3,6,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,5,3,8,2,4,1,6] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,3,6,2,8,1,4] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,2,4,7,6,1,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[5,7,3,6,1,8,2,4] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,1,8,5,3,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,1,4,2,5,6,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,3,7,2,8,4,1] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,2,5,1,6,8,4,7] => [1,3,5,6,8,7,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,6,2,8,7,5,1] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,5,4,3,1,8,2,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,6,8,4,2,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,6,2,4,7,5,1] => [1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,7,1,4,6,2,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,2,5,4,1] => [1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,7,5,1,3,4] => [1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,2,7,6,4,3,1] => [1,5,6,4,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,1,8,2,6,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,4,6,1,5,3,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,1,6,4,3,2] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,6,3,5,1,8] => [1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,2,6,3,1,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,6,4,1,5,7] => [1,3,8,7,5,4,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,2,8,3,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,2,1,3,4,6] => [1,8,6,3,7,4,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,4,2,1,3,8,5,7] => [1,6,8,7,5,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,7,3,5,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,6,1,4,8,5,7] => [1,3,6,8,7,5,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,6,2,8,3,1] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,4,8,6,5,7,1,2] => [1,3,8,2,4,6,7,5] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,4,6,3,7,5,8,1] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,3,1,2,5,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,8,1,6,7,5,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,3,7,2,6,8,5,1] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,7,2,3,8,5,6,1] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[2,8,1,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,8,7,4,2,6,1] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,3,6,1,4,2,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,1,6,5,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,4,1,5,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[4,5,2,6,3,1,8,7] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,5,2,7,4,1,6,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,2,1,6,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,3,4,1,6,5] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,6,7,4,8,5,3] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,1,6,3,2,5,4,7] => [1,8,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,7,5,3,6] => [1,8,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,5,1,7,4,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,6,3,8,1,4] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,2,8,4,3,1,7] => [1,5,4,8,7,2,6,3] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,1,4,5,6,3] => [1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,3,7,2,6,5] => [1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,8,4,2,5,7,1] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,2,3,5,1,6,7] => [1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[2,8,4,1,6,5,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,3,4,7,6,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,6,1,4,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,3,6,1,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,3,4,6,1,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,3,4,6,7,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,2,6,3,1,7,8] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[4,1,2,3,8,6,5,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[7,5,2,8,3,4,1,6] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,6,5,8,3,2,4] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,2,5,6,8,7,3] => [1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,7,2,5,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,8,2,5,6,4,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,3,4,5,8,7,1,2] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,2,3,5,4,8,1,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,1,3,4,5,8,7,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,7,2,4,1,6,3,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,1,7,2,6,5,3,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,8,2,1,5,6,3,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,6,3,5,7,1,2] => [1,4,3,6,7,2,8,5] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,8,1,6,4,5,3,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,1,4,3,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,6,1,8,2,4] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,2,4,7,1,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,2,6,1,8,3,4] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,5,3,7,1,8,2,4] => [1,6,8,4,7,2,5,3] => ([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,3,8,1,6,2,4] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,7,5,2,3,4] => [1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,8,2,7,1,3,5] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[4,7,1,8,6,2,3,5] => [1,4,8,5,6,2,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,8,6,4,1,2,3] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,3,4,7,1,5] => [1,8,5,4,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,3,6,2,4,7] => [1,8,7,4,3,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,1,3,6,2,4,8] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,3,2,6,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,3,2,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,3,2,5,6,7] => [1,8,7,6,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,4,1,7,8,2,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,4,1,3,2,8,6,5] => [1,7,6,8,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,4,3,1,2,8,5,7] => [1,6,8,7,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,7,4,2,1,6,3] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[1,8,2,5,3,6,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,2,6,3,7,4,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,2,8,3,7,4,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,6,3,7,2,5,1,8] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,3,5,6,1,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,5,7,3,4,2,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[6,3,4,5,7,1,8,2] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,2,1,4,3,6,5,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,1,2,6,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,3,2,5,4,1,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,2,5,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,1,6,2,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,6,1,5,4,2,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,6,5,1,3,2,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,8,5,1,3,7,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,8,7,4,3,6,5,2] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,5,6,3,4,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,8,5,7,3,1,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,4,6,2,7,3,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,2,6,7,4,5] => [1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,5,1,8,2,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,6,1,8,7,2,5] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,7,5,8,6,2,4,1] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,5,7,6,2,4,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,7,8,6,5,3] => [1,4,7,5,8,3,2,6] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,2,7,5,8,3] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,6,1,7,5,8,3] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,8,2,6,5,7,1,3] => [1,4,6,7,2,8,3,5] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[4,3,1,2,7,6,8,5] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,6,1,5,8,3,2,4] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,2,5,8,3,1,4] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,3,2,7,6,8,5] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,2,4,3,6,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,4,5,7,6] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,4,2,8,7,1,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,4,1,2,3,8,5,6] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,2,5,6,8,1,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,8,2,1,7,3,5,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,7,5,3,4,6,2] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,3,5,4,6,2] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,4,7,2,1,6,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,7,5,4,3,6,2] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,7,3,1,2,6,4] => [1,8,4,3,7,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,7,1,2,6,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,8,4,7,1,6,2,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,7,4,5,3,6,2] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,1,5,4,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,5,4,2,1,7,6,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,2,7,6,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,1,6,5,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,3,7,6,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,3,1,7,6,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,8,5,3,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,3,2,7,6,4,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,2,4,3,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,3,7,6,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,2,6,5,3,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,7,6,4,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,7,6,5,4,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,5,4,7,2,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,5,4,7,1,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,3,6,5,1,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,3,1,4,2] => [1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,1,3,4,2] => [1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,1,4,3,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,4,1,3,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,5,1,4,2,3] => [1,8,3,6,4,5,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,5,1,8,4,6,2] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,3,1,7,8,6,4] => [1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,1,3,8,4,2,6] => [1,7,2,5,8,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,1,4,8,3,2,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,4,1,5,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,3,4,1,5,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,1,7,3,6,2,8,5] => [1,4,3,7,8,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,2,3,1,7,5,8,6] => [1,4,2,3,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,1,4,2,8,6,7,5] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,5,2,8,6,7,3] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,1,8,4,6,2,7,3] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,1,8,5,6,3,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,8,2,4,5,6,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,3,5,6,4,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,7,5,1,3,6,8,2] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,3,6,2,4,1,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,8,5,6,7,1,2] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,2,8,4,5,6,1,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,3,6,2,5,7] => [1,4,3,8,7,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,4,8,2,6,5] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,1,7,8,6,3] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,1,6,5,3,8,4,2] => [1,7,4,5,3,6,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,6,3,8,1,4] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,4,2,5,3,6,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,1,4,2,5,7,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,6,3,7,5,4,2,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,3,1,6,4,5,2,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,4,1,5,3,6,8] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,5,4,1,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,2,4,1,5,7,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[2,5,3,7,6,1,8,4] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[5,2,8,4,6,1,7,3] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,6,7,5,3,2] => [1,4,6,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,3,8,7,6,2,4,1] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,8,7,2,5,1,4] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,3,7,1,6,4,2] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,1,3,8,6,7,2,4] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[2,8,6,4,1,5,7,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,6,2,8,1,3] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,3,8,4,6,1,7,2] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,2,6,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,8,4,7,1,5,3,2] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,8,4,7,2,5,3,1] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,3,8,7,6,1,2,4] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,6,5,1,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,6,1,5,3,7] => [1,8,7,3,4,6,5,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,6,2,5,3,7] => [1,8,7,3,4,6,5,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,6,5,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,6,5,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,6,5,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,6,5,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,6,5,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,6,5,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,1,8,3,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,7,6,3,8,4] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,4,8,5,2,7,3,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,6,2,1,7,3,4,5] => [1,8,5,7,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,2,6,3,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,8,5,3,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,7,3,8,6,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,1,8,7,6,2,4,3] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,6,3,4,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,1,6,2,4,3,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,1,4,5,3,8,7,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,4,5,3,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[6,1,4,8,3,5,7,2] => [1,6,5,3,4,8,2,7] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,3,8,6,2] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,4,1,5,2,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,1,6,2,4,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,2,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,8,5,6,1,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,3,5,6,2,8,1,4] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,1,2,8,4,6] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,1,5,2,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,1,6,3,4,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,6,5,4,3,1,7,2] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,4,1,6,3,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,1,5,4,3,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,4,8,2,7,3,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,6,1,3,4,2,7,8] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,1,2,3,4,5,7,6] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,5,1,6,3,7] => [1,8,7,3,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,5,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,4,6,5,7] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,7,4,8,3,6,2] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,7,1,8,4,6,3] => [1,5,8,3,7,6,4,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,7,8,5,6,3] => [1,4,7,6,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,2,7,8,6,5,3] => [1,4,7,5,8,3,2,6] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,8,5,2,7,4,1] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,5,2,8,4,7,3,1] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,4,5,8,7,2,1] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,3,8,5,6,7,2,1] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,6,4,2,8,7,5,1] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,3,7,4,2,8,5,1] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,2,6,4,7,3,1] => [1,8,2,5,4,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,6,4,5,2,8,1] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,2,1,8,3,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,8,2,6,4,7,3,1] => [1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,5,2,6,4,3,1] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,8,3,5,4,6] => [1,7,4,8,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,5,8,3,6,7] => [1,4,5,8,7,6,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,6,5,3,4,1] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,6,5,4,2,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,6,7,4,5,1,2] => [1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,7,4,5,1,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,7,4,5,2,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,4,7,1,5,2,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,8,1,6,2,7,3,5] => [1,4,6,7,3,2,8,5] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,8,2,6,1,7,3,5] => [1,4,6,7,3,2,8,5] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,7,4,8,3,5,1,2] => [1,6,5,3,4,8,2,7] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,6,2,3,1,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,7,4,6,3,8,1,2] => [1,5,3,4,6,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,6,3,7,1,2] => [1,5,3,4,6,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,4,5,2,6,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,8,4,6,2,3,1,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,8,3,6,2,4,1,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,8,3,5,2,6,1,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,7,3,6,2,8,1,4] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,7,3,6,2,4,1,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,7,3,4,2,6,1,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,7,3,4,2,8,1,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,8,4,6,2,3,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,3,6,2,4,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,3,4,2,6,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,8,3,4,2,6,1,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,4,6,1,3,2,8,7] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[4,6,8,1,7,3,2,5] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[8,6,5,7,4,1,3,2] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,7,6,8,3,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,1,3,7,4,6,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,4,5,6,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,6,2,4,8,5,3,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,7,4,1,3,5,6] => [1,8,6,3,7,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,8,2,4,6,3,7] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[6,2,3,4,1,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,2,3,1,4,5,8,6] => [1,7,8,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,5,2,8,7,3,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,2,4,6,5,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,4,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,6,4,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,5,2,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,4,2,8,6,7,3,5] => [1,2,4,8,5,6,7,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,3,6,8,5,7,4] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,3,7,2,1,5,4] => [1,8,4,7,5,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,4,3,2,1,8,5,7] => [1,6,8,7,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,3,2,1,8,6,5] => [1,7,6,8,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,4,2,7,8,1,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,4,2,6,7,1,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,2,4,1,7,6,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,4,2,7,6,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,2,4,1,3,7,8,5] => [1,6,7,8,5,3,4,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,4,1,2,7,5,8] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,6,1,4,7,5,8] => [1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,5,6,2,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,8,5,3,1,7,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,8,4,6,3,7,2,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,6,3,7,5,2] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,6,2,8,7,5,1] => [1,3,6,7,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,3,2,6,7,5,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,6,1,8,7,5,2] => [1,3,6,7,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,4,6,2,7,5,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,3,7,1,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,5,1,7,4,6,8] => [1,3,5,7,6,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,5,1,8,4,6,7] => [1,3,5,8,7,6,4,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,4,1,8,7,5,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,5,1,6,7,8,4] => [1,3,5,6,7,8,4,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,4,1,8,5,7,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,5,1,6,7,4,8] => [1,3,5,6,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,5,7,3,2,4] => [1,8,4,5,7,2,6,3] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,4,1,8,5,3,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,3,7,2,6,8,1,5] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,7,4,8,1,6,3] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,2,7,1,4,8,5] => [1,6,4,7,8,5,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,3,8,2,1,5,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[8,4,5,2,3,1,7,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,2,4,1,6,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,1,3,2,7,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,4,6,2,5,1] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,4,6,1,5,2] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,1,6,4,5,2] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,3,6,4,5,2] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,2,6,4,5,1] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,3,6,4,5,1] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,2,4,3,6,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,4,3,7,6] => [1,8,6,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,1,4,3,6,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,5,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,3,1,8,5,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,3,2,8,6,7,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,2,7,5,6,1,4,3] => [1,8,3,7,4,5,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,5,6,2,4,3] => [1,8,3,7,4,5,6,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,2,6,4,5,3] => [1,8,3,7,5,6,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,1,6,4,5,3] => [1,8,3,7,5,6,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,4,6,3,5,1] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,4,6,3,5,2] => [1,8,2,3,7,5,6,4] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,8,4,6,5,3] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,1,5,7,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,3,8,5,6,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[2,8,3,5,4,1,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,5,3,1,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,6,8,4,3,5,1] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,1,5,6,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,3,8,4,6,5,1] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,4,1,6,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,3,5,1,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,4,5,1,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,5,3,4,7,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,2,5,3,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,5,3,2,4,6,7] => [1,8,7,6,4,3,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,5,4,3,8,6,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,8,1,4,3,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,2,8,7,4,3,5] => [1,6,4,8,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,1,7,6,4,3,5] => [1,2,8,5,6,4,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,3,4,1,6,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,7,3,4,1,8,2,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,8,3,4,1,6,2,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,7,3,4,1,6,2,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,7,1,4,2,6,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,4,1,6,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,8,1,4,7,6,2,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[8,4,3,7,6,1,5,2] => [1,8,2,4,7,5,6,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,7,6,1,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,3,7,6,1,5,2] => [1,4,7,5,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,8,7,6,1,5,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,5,8,2,6,4] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,5,8,3,6,4] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,4,3,7,6,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,4,7,6,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,4,7,6,5] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,6,3,5,1,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,6,3,1,5,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,6,5,3,8,7] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,4,6,1,5,3,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,2,6,5,1,3,8,7] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,2,6,5,8,1,3,7] => [1,4,5,8,7,3,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,4,6,8,5,7,3] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,6,8,5,3,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,6,1,8,5,7] => [1,2,4,6,8,7,5,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,3,1,6,8,5,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,1,3,6,8,7,5] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,4,6,3,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,6,8,3,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,1,6,4,8,7,3,5] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[8,1,6,3,7,2,4,5] => [1,8,5,7,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,6,4,5,7] => [1,8,7,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,5,1,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,5,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,6,1,7,3,5] => [1,4,6,7,3,8,5,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,1,6,7,4,5] => [1,3,8,5,6,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,1,7,4,6,5] => [1,3,8,5,7,6,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,5,4,6,1,2] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[7,1,2,5,8,3,6,4] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,6,2,8,7,5,3] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,5,1,6,4,3,2,8] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,7,6,4,3,2,8] => [1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,8,5,6,3,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,3,6,1,5,7,2,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,4,6,3,7,1,8,5] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,6,4,8,7,2,5] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,2,3,5,4,1,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,4,7,5,1,3,8,6] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,8,4,6,1,3,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,5,1,4,3,2,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,6,3,7,5,8,2] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,6,1,7,5,3,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,5,4,6,2,8,1,3] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,4,1,6,3,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[3,7,5,8,2,1,4,6] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[3,5,2,1,4,7,6,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,3,5,2,1,8,4,6] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,2,1,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,2,1,4,6,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,8,3,5,4,6,1,2] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,7,1,6,2,8,3,4] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,3,5,1,8,6,4,2] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,3,4,8,5,1,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[7,4,8,6,1,5,2,3] => [1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,1,4,2,6,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,2,1,5,4,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,7,3,2,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,1,4,7,2,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,1,4,3,6,5] => [1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,1,4,2,6,5,3] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,4,5,3,2,8,1,6] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,3,6,1,4,2,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,2,8,3,6,5,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,1,3,4,5,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,6,3,1,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,8,1,5,6,3,7,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,5,6,3,7,4] => [1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,6,5,4,1,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,3,5,4,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,7,4,1,5,6,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,4,6,2,5,1,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,3,5,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[6,1,3,4,5,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[7,2,6,4,5,1,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,1,6,2,5,7,3,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,1,3,6,8,4,2,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,6,7,4,5,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,8,3,1,7,5,6] => [1,4,3,8,6,7,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,1,4,5,6,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,5,4,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,6,2,7,4,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,3,7,4,5,1] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,1,6,2,4,5,3] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,7,3,6,5] => [1,8,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,1,4,3,8,5,7] => [1,6,8,7,5,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,4,3,6,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,1,3,6,5,7] => [1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,3,6,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,1,6,3,5,7] => [1,8,7,5,6,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,6,3,8,5,7] => [1,4,6,8,7,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,3,8,6,5,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[8,2,1,6,4,3,5,7] => [1,8,7,5,4,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,5,2,8,1,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,6,3,4,2,7,5] => [1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,2,6,1,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,1,5,3,7,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,6,3,5,4,1] => [1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,2,6,7,4,3] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,7,6,4,3,1] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,6,4,5,3,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,3,6,1,2,8,7] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,3,4,5,7,2,1,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,6,3,8,2,1] => [1,5,3,4,6,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,6,3,7,1,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,3,7,1,8,4,2] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,1,6,7,5,8,3,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,8,7,6,4,3,1,2] => [1,5,4,6,3,7,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,2,1,6,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,2,6,1,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,5,6,4,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,1,5,7,4,8,3] => [1,6,4,5,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,2,1,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,5,4,8,3,7,2,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,7,8,4,5,2,6,1] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,1,8,6,2,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,3,1,4,2,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,1,8,3,4,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,3,8,1,7,4,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,5,3,8,2,4,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,5,4,8,2,7,6,3] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,6,1,8,7,3,5] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,3,1,5,4,2,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,8,2,5,4,6,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,3,5,4,8,7,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,2,6,7,4,8,5,3] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,2,8,5,4,6,1,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,6,5,2,1,8,4] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,7,3,5,8,6] => [1,4,7,8,6,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,5,4,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,1,3,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,3,2,8,1,6] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,7,3,1,6,5,4,2] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,7,6,4,2,1] => [1,8,2,5,6,4,7,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,8,6,4,3,2,1] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,6,5,4,1,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,5,8,2,4,1,6] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[7,5,3,8,1,4,2,6] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,2,3,7,5,8,4] => [1,6,5,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,2,4,1,6,5] => [1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,3,6,8,5,4] => [1,7,5,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,3,8,5,6,4] => [1,7,6,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,2,6,3,4,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,1,7,5,4,3,2,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,4,5,3,2,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,2,3,7,8,6,4] => [1,5,7,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,2,4,7,1,5] => [1,8,5,4,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,6,5,4,2,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,6,5,4,2,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,2,3,6,5,4,8] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,1,2,7,3,5,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,5,3,8,7,4,6,1] => [1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,3,8,7,6,2,4] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,4,8,7,6,5,1,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,4,8,7,6,2,5,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,6,7,5,3,4] => [1,8,4,6,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,7,1,3,6,4] => [1,8,4,7,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,8,3,7,1,5,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,8,6,4,7,1,5,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,7,1,4,6,3,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,8,3,7,2,5,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,5,4,7,1,2,6,3] => [1,8,3,4,7,6,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,5,7,2,6,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,3,4,6,2,5] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,2,4,6,1,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,5,7,1,6,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,3,4,5,1,6,2] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,3,4,6,1,5] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,2,3,7,6] => [1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,4,2,8,1,7,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,5,3,2,8,7,1,6] => [1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,4,3,6,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,7,5,6,2,4,8] => [1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,8,6,5,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,6,4,3,1,5,7,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,1,7,2,4,5] => [1,8,5,7,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,2,4,7,3,5] => [1,8,5,4,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,3,6,4,7,2] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,2,5,4,3,6] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,8,1,3,4,6,2] => [1,5,3,8,2,7,6,4] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[7,1,5,3,2,8,6,4] => [1,7,6,8,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,2,8,6,3] => [1,7,6,8,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,1,7,2,4,6,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,1,8,6,4,7,5,2] => [1,3,8,2,4,6,7,5] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,8,6,4,5,3] => [1,7,5,6,4,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,7,6,4,5,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,2,3,6,8,5,4,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,5,3,1,6,4,2,8] => [1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,1,8,4,2,6] => [1,7,2,5,8,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,8,3,6,4,1,2] => [1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,6,1,4,2,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,6,4,1,2,8] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,4,1,6,2,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,4,1,8,2,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,1,4,8,2,6] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,1,4,6,2,8] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,2,5,4,8,6,1] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,8,4,3,6,5,2,1] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,1,7,3,2,5,8,6] => [1,4,3,7,8,6,5,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,1,2,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,6,2,7,5,4] => [1,2,8,4,6,7,5,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,1,6,5,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,3,6,4,1,2] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,6,4,3,7,5] => [1,8,5,4,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,6,5,2,4,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,2,5,4,6,3] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,7,3,5,4,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,6,4,3,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,2,4,7,3,5,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,1,4,5,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,1,5,4,3,8,2,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,6,5,4,3,2,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,2,5,4,3,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,1,5,7,6,2,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,2,3,4,1,6,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,8,3,6,1,5,7] => [1,4,3,8,7,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,5,7,2,4,3,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,5,6,7,2,4,8,3] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,3,5,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,6,8,5,2,3,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,4,1,6,7,5,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,4,2,7,5,3] => [1,8,3,2,6,7,5,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,3,7,2,5,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,4,2,8,5,6] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,3,7,2,5,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,3,8,7,6,1,4] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,7,5,8,6,2,1,4] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,4,6,5,7,2,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,1,5,4,6,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,2,6,5,3,7,4,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,4,3,2,5,8,6,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,8,2,4,3,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,2,3,7,6,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,6,5,2,1,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,5,3,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,7,2,4,8,5,1] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,8,5,2,7,4,3] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,1,8,3,6,7,5,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,1,2,7,3,5,6,4] => [1,8,4,7,6,5,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,4,1,3,2,8,5,7] => [1,6,8,7,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,4,3,8,1,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,2,4,5,3,7] => [1,8,7,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,6,5,8,2,3,7] => [1,4,5,8,7,3,6,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,3,7,6,1,2] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[8,7,4,3,1,6,2,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,3,4,8,2,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,1,7,4,5,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,4,3,1,6,7,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,2,3,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,2,5,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,1,5,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,1,5,6,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,8,3,5,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[5,8,3,6,7,4,1,2] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,3,1,6,8,4,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,3,6,5,8,2,1,4] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,3,5,8,2,1,4] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,4,8,2,6,7,3] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,6,4,7,3,5,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,5,3,8,2,6] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,5,3,2,6,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,5,3,6,2,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,5,4,3,6,2,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,3,6,5,7,1,2] => [1,4,6,7,2,8,3,5] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[4,8,1,6,5,7,2,3] => [1,4,6,7,2,8,3,5] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[7,8,4,5,1,6,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,1,5,3,6,2,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,3,6,2,7,4,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,2,5,1,8,6,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,3,7,5,1,2,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,7,1,6,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,7,3,1,4,6,2] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[8,4,2,1,3,7,6,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,1,2,6,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,1,7,2,6,5] => [1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,1,4,2,6,5] => [1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,4,7,6,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,4,7,6,3,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[3,1,8,2,7,5,4,6] => [1,3,8,6,5,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,3,4,6,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,6,1,8,2,3] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,4,6,3,7,5,1,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,6,3,7,5,4,1,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,5,2,8,3,4,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,2,6,3,8,7,4,5] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,3,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,7,6,4,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,2,3,8,7,4,6] => [1,2,5,8,6,7,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,8,3,7,5,6] => [1,4,8,6,7,5,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,7,4,5,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,5,7,1,4,3,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,1,6,5,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,1,2,6,7,5,3,8] => [1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,6,7,5,3,8] => [1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,7,3,8,4,2,5] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,8,1,6,7,5,3,2] => [1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,3,6,4,5,2,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,1,6,8,3,5] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,4,6,5,1,3,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,7,4,5,2,6,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,5,4,3,6,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,6,4,3,1,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,7,6,8,3,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,3,7,6,8,1,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,3,7,6,8,2,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,1,2,6,8,5,4,3] => [1,7,4,6,5,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,6,8,5,4,3] => [1,7,4,6,5,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,4,1,5,8,7,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,1,4,5,3,7,2,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,1,5,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,1,7,2,4,5,6,3] => [1,8,3,7,6,5,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,2,1,6,5,3] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,2,3,4,8,7,1,5] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,2,5,8,7,1,4] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,2,3,4,5,8,1,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,1,4,2,7,8,5,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,7,1,3,4,2,6,8] => [1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[5,8,1,3,4,2,6,7] => [1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[4,8,2,6,3,7,5,1] => [1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,2,8,3,5,4,1] => [1,7,4,8,2,6,5,3] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[1,7,3,8,4,6,5,2] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,8,5,2,6,3] => [1,7,6,2,4,8,3,5] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,5,7,3,6,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,8,1,2,5,6,3,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,3,6,2,7,8,5] => [1,2,4,6,7,8,5,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,2,3,6,7,4,1] => [1,5,6,7,4,3,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,1,6,3,7,5,4] => [1,8,4,6,7,5,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,5,6,4,3,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,7,3,8,6,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,1,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,2,6,1,4,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,2,7,1,5,6,3,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,8,1,6,5,7,3,2] => [1,4,6,7,3,2,8,5] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[2,8,1,6,5,4,3,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,5,7,2,4,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,5,4,6,7] => [1,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,6,7,8,1,5,4] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,1,4,2,8,3,6,5] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,7,6,3,2,4,5] => [1,8,5,3,7,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,5,2,7,4,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,7,4,2,6,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,2,6,1,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,2,4,8,6,3,1,7] => [1,5,6,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,2,6,3,8,5,1,7] => [1,4,3,6,5,8,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,7,4,6,1,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,4,1,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,3,1,8,6,5] => [1,7,6,8,5,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,1,3,4,2,6] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,1,4,7,3,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,4,5,1,2,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,3,6,1,8,5] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,4,7,5,1,6,3] => [1,8,3,4,7,6,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,6,5,7,1,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,3,5,8,7,1,6] => [1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,6,7,5,8,3,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[4,5,1,6,3,2,8,7] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,5,1,6,3,8,2,4] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,1,8,2,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,1,6,7,3,8,5,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,7,5,4,8,1,6,2] => [1,3,5,8,2,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[6,5,4,3,1,8,7,2] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,3,4,6,2,1,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,3,2,8,4,1,6] => [1,7,2,5,8,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,7,2,4,1,8,5,3] => [1,6,8,3,2,7,5,4] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,3,1,2,7,8,4] => [1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,1,3,2,7,8,4] => [1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,3,2,1,7,8,4] => [1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,5,8,1,2,6,3] => [1,7,6,2,4,8,3,5] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,3,2,8,7,4,6] => [1,2,5,8,6,7,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,7,4,1,2,6,3] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[2,1,8,5,6,7,3,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,2,8,3,5,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,4,2,3,7,1,5,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,5,6,7,1,3] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,6,4,1,3,2,5,7] => [1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,6,5,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,6,5,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,5,2,4,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,8,5,1,4,7,6,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,1,3,6,4,7,5] => [1,8,5,6,4,3,2,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,7,2,1,3,5,6] => [1,8,6,3,7,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,4,6,5,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,4,1,5,6,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,2,8,4,5,6,1] => [1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[4,1,6,3,8,5,2,7] => [1,4,3,6,5,8,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,3,2,5,6,7] => [1,4,3,8,7,6,5,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,2,3,1,5,6,7] => [1,4,3,2,8,7,6,5] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[5,6,2,3,8,4,1,7] => [1,5,8,7,2,6,4,3] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,2,3,4,8,6,1] => [1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[5,8,2,3,4,1,6,7] => [1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[6,1,2,3,8,5,4,7] => [1,6,5,8,7,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,7,3,4,8,5,2] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,8,3,4,5,2,7] => [1,6,5,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,8,4,5,6,3] => [1,7,6,5,4,8,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,8,3,4,5,6,2] => [1,7,6,5,4,3,8,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,5,7,2,6,4,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,8,6,1,2,4,7] => [1,3,8,7,4,6,2,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,5,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,2,5,6,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,8,7,5,4,6,2,1] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[2,8,7,6,4,3,5,1] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,7,4,5,6,2,1] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[2,8,7,6,3,4,5,1] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,4,8,3,1,5] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,3,4,7,2,5,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,5,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,3,4,5,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,4,1,5,2,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,2,6,8,3,1] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,4,5,1,7,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,1,8,4,7,3,2] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,3,1,4,7,2,8,5] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,3,4,2,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,6,3,2,5,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,1,5,2,8,6,4,3] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,4,5,2,7,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,6,2,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,2,7,8,5,6,3] => [1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,7,4,8,6,5,3] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,4,2,5,8,7,3,6] => [1,2,4,5,8,6,7,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,6,4,8,7,3,5] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,8,3,5,1,4,7,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,1,2,8,5,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,2,3,8,5,4,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,3,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,3,1,2,8,6,7,5] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,1,3,6,8,5,7,4] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,6,2,8,7,5,4] => [1,3,6,7,5,8,4,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,3,5,4,2,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,3,6,4,2,1] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,2,6,4,3,1] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,2,5,4,3,1] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,4,5,1,3,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,3,6,1,4,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,2,5,3,6,1,4] => [1,7,2,8,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,8,1,4,3,6,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,7,5,8,1,4,2,6] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[3,7,5,8,2,6,1,4] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[4,8,3,5,6,7,2,1] => [1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[5,8,3,7,2,6,4,1] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,6,8,2,5,3,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,2,5,3,4,7,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,2,3,8,7,5,4] => [1,6,7,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,1,6,8,4,3,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,6,4,7,2,5,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,8,7,4,6,3] => [1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,1,7,5,6,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,7,6,4,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,6,4,8,1,3] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,5,8,2,6,4] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,6,7,5,4,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,1,4,6,3,8,5] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,1,3,2,8,5,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,6,8,4,7,2,5,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,8,4,2,5,1] => [1,7,5,4,8,2,6,3] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[2,8,3,6,4,5,7,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,1,6,4,7,8,2] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,6,7,5,8,1,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,2,6,7,3,8,5,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,2,5,7,3,8,6,4] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,2,6,1,8,7,5,3] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,3,6,5,8,7,1,4] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,7,3,4,5,8,1,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,3,5,2,4,8,1,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,2,8,4,6,5] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,2,3,6,1,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,7,2,3,6,4] => [1,8,4,7,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,8,3,4,5,6,1] => [1,7,6,5,4,3,8,2] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,1,3,8,5,6,2] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[5,3,4,8,7,1,2,6] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[7,8,3,6,2,4,5,1] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,1,2,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,3,6,5,7,4,2] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,5,3,2,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,5,7,3,4,2] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,5,8,7,3,6] => [1,4,5,8,6,7,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,3,7,2,8,5] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,6,2,5,4,3,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,4,7,6,2,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,8,3,6,1,7,5,4] => [1,2,8,4,6,7,5,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,6,2,8,5,4] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,8,6,2,7,5,4] => [1,3,8,4,6,7,5,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,6,1,7,5,4] => [1,3,8,4,6,7,5,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,2,6,5,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,1,6,5,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,6,3,8,5,4] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,1,7,6,4,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,7,4,3,5,8,1,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,4,2,1,8,3,6,5] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,2,6,4,1,7] => [1,8,7,2,5,6,4,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,6,4,3,1,8] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,8,2,7,3,1,5] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[6,8,1,7,2,5,4,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,8,7,4,5,6,1,2] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[1,8,6,5,3,2,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,4,7,2,6,3,1] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,5,7,4,8,2,6,3] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,5,6,8,7,3] => [1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,2,8,4,6,5] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,2,4,3,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,7,5,4,6,3] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,7,2,6,3,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,8,5,4,3,6,2,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,7,2,6,3] => [1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,2,6,7,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,1,7,3,8,2,4] => [1,6,8,4,7,2,5,3] => ([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,1,5,2,7,6,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,3,1,5,2,6,8,7] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[5,4,2,1,6,7,8,3] => [1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,4,3,1,6,7,8,2] => [1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,3,8,1,2,5,7,4] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,3,2,1,7,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,5,6,1,4,7,8] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,2,6,1,4,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,3,2,5,4,1,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,4,1,3,2,8] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,1,5,2,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,1,6,8,7,3] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,2,5,6,8,7,4] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,2,6,8,7,3] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,1,5,2,6,8,4,3] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,5,8,1,6,2] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,4,6,8,3,2] => [1,7,3,5,6,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,6,1,8,3,2] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,3,4,5,8,2,6,1] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,1,6,4,5,7,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,5,7,8,4,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,7,5,1,6,8,3] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,1,5,6,8,4,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,1,5,7,4,6,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,4,3,6,1,7,5,2] => [1,8,2,4,6,7,5,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,7,3,5,4,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,1,6,7,4,5,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,8,5,1,6,7,3] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,1,8,4,5,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[1,2,5,3,7,6,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,5,1,7,2,4,6,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,6,5,1,4,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,6,3,1,5,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,4,3,6,5,2,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,6,5,3,2,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,2,1,6,5,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,3,5,2,6,8] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,2,7,6,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,2,6,8,5,1,4] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,2,4,6,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,8,3,6,2,1] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,6,7,8,1,4,5,3] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[6,3,2,5,4,8,1,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,7,5,3,6] => [1,8,6,5,7,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,1,6,7,3,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,5,1,6,7,3] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,3,4,8,1,6,5] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,5,8,1,6,4] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,1,4,2,3,8] => [1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,1,3,4,2,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,4,5,1,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,6,4,2,1,7,5,8] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,6,5,1,4,8,3,2] => [1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,1,8,4,2,3] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,4,7,3,5,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,1,8,7,4,6,3] => [1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,1,8,4,5,6,2] => [1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[8,1,3,2,5,6,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,2,5,1,7,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,1,5,3,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[2,8,5,3,6,7,1,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,5,6,4,1,3,2] => [1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,8,7,6,1,4,2] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,6,3,1,8] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,8,5,1,7,4,3] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,2,5,6,4,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,1,5,3,7,6,4] => [1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,4,6,7,8,3] => [1,2,5,6,7,8,3,4] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,1,6,5,3,7,2,4] => [1,8,4,5,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,3,1,6,7,8,4] => [1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,5,3,2,6,7,8,4] => [1,2,5,6,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,5,6,1,7,8,4] => [1,3,5,2,4,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,8,7,5,6,1,2,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,5,4,2,7,1,8,6] => [1,3,4,2,5,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,6,4,1,3,5,2,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,5,6,4,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,5,4,7,2,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,2,1,4,6,7,8,3] => [1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[5,4,1,3,6,7,8,2] => [1,5,6,7,8,2,4,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,1,4,3,5,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,5,4,7,2,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,1,3,4,6,7,8,2] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,7,1,5,8,4,6,3] => [1,2,7,6,4,5,8,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,8,5,1,4,7,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,1,8,7,6,4,3,2] => [1,5,6,4,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,5,7,3,1,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,3,8,6,1,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,1,3,4,5,2,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,8,4,1,5,7,3] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,8,5,2,6,7,3] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,1,4,6,3,8,5,2] => [1,7,5,3,4,6,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,8,4,1,2,5,7,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,3,6,2,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,8,1,5,3,6] => [1,7,3,4,8,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,6,1,5,4,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,8,7,6,1,4,3] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,7,6,5,4,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,2,8,7,1,5,4,3] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,2,7,6,1,5,3] => [1,4,7,5,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,1,4,2,3,6,5,7] => [1,8,7,5,3,4,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,6,1,4,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,2,4,5,1,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,4,1,3,5,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,1,4,3,5,8,7,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,2,1,6,3,5,7,4] => [1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,4,3,5,7,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,6,3,5,7,2] => [1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,3,5,7,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,8,3,6,5,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,6,4,3,5,7,2] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,4,3,5,7,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,1,3,5,7,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,3,5,7,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,4,1,8,6,3,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,8,1,4,5,3,7,2] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,1,2,7,6,5,8] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,1,2,6,8,7,5] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,8,4,2,6,5,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,3,7,1,4,8,5,2] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,1,2,5,8,7,6] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,7,4,6,3,2,1,5] => [1,8,5,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,7,3,2,1,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,5,2,1,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,6,8,5,2,4] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,2,8,1,7,3,4] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,3,7,4,2,6,5,1] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,3,1,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,3,1,7,6,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,7,6,2,5,3,1] => [1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,3,5,2,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,8,5,1,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,6,8,5,1,3,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,3,5,4,1,8,6,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,8,4,6,3,5,2,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,1,6,8,4,2] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,1,5,6,8,7,2] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,8,4,5,2,6,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,4,7,1,6,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,4,6,1,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,4,5,2,3,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,8,5,3,2,6,1] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,4,5,3,2,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,4,5,3,6,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,3,4,5,2,6] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,4,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,6,1,5,4,7] => [1,3,8,7,4,6,5,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,4,2,5,1] => [1,8,2,7,5,4,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,4,5,6,3,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,6,3,4,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,1,3,8,2,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,2,3,5,8,4,6] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,8,1,3,2,6] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,3,1,8,5,4,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,4,7,5,1,3,2,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,4,7,2,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,6,4,7,1,5] => [1,2,8,5,4,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,6,4,8,1,2,5] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,6,4,8,2,1,5] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,1,7,3,5,2,8] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,7,1,6,5,2,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[8,3,2,4,7,1,5,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,6,8,4,2,3,7] => [1,5,4,8,7,3,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,5,8,1,6,2,4] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[4,6,8,7,1,5,2,3] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,6,5,1,4,2,3] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,2,7,1,5,3,4,6] => [1,8,6,3,7,4,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,1,5,4,2,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,2,1,5,3,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,2,8,6,4,5] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,6,1,4,3,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,1,6,5,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,2,3,1,5,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,8,4,3,6,2] => [1,7,6,3,5,4,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,1,4,5,3,7] => [1,8,7,3,6,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,6,8,3,2] => [1,7,3,4,5,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,7,1,4,5,3,8] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[7,2,4,5,1,3,6,8] => [1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,8,3,5,6,7,1,2] => [1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,3,5,6,7,2,4] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,8,1,5,6,7,2,3] => [1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,1,3,5,6,7,2,8] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,5,4,1,6,2,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,6,7,4,2] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,1,5,6,7,3,2] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,5,6,7,3,2] => [1,4,5,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,8,5,6,7,3,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,5,3,8,6,7,4,2] => [1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,8,5,6,7,2,3] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,6,3,1,4,5,8,7] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[4,7,1,5,6,8,2,3] => [1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,6,3,7,1,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,7,8,5,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,2,1,6,3,7,5,8] => [1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,1,6,3,7,8,5] => [1,4,6,7,8,5,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,1,8,3,5,6,7] => [1,4,8,7,6,5,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,1,5,4,7,8,3] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[7,1,6,8,4,5,3,2] => [1,7,3,6,5,4,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,6,5,2,8,1,3] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,6,4,2,3,8] => [1,7,3,5,4,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,6,8,1,3,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,7,5,3,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,8,6,1,7,3,2] => [1,4,6,7,3,8,2,5] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,2,5,3,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,3,6,7,1,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,1,4,6,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,5,1,6,2,4,8] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,1,4,7,3,5,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,3,4,5,7,1] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,7,6,1,4,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,7,2,3,6,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,8,3,6,1,4,5,2] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,4,6,3,7,2,5,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,2,5,3,1,7,4] => [1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,5,1,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,4,1,6,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,3,5,7,2,4,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,3,7,4,1,6,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,4,5,7,6] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,1,3,2,6,4,8] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,6,1,3,2,7,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,8,1,3,4,6,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,8,2,6,5,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,4,2,5,3,8,1,6] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,1,6,8,3,4,7] => [1,5,8,7,4,6,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,6,8,4,1,3,7] => [1,5,4,8,7,3,6,2] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,4,7,1,8,5,3] => [1,6,8,3,4,7,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,5,3,6,2,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,7,5,2,6,8,3] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,4,7,1,6,8,3] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,6,4,7,2,5,3,1] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,2,6,7,5,3,1] => [1,4,6,5,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,7,5,3,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,7,4,5,3,1] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,8,6,7,5,3,1] => [1,4,6,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,4,7,5,3,1] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,4,7,5,3,1] => [1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,6,7,3,5,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,6,5,7,4,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,8,2,5,3,7,1] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[3,7,5,1,8,4,6,2] => [1,3,5,8,2,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[5,7,4,3,8,6,2,1] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,2,5,1,8,3,7,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,5,4,8,7,1,6] => [1,3,5,8,6,7,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,1,5,4,8,7,2,6] => [1,3,5,8,6,7,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,5,4,1,8,7,2,6] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,4,5,1,8,7,2,6] => [1,3,5,8,6,7,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,5,2,8,7,1,6] => [1,3,5,8,6,7,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,2,4,5,8,7,1,6] => [1,3,4,5,8,6,7,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,6,3,4,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,6,2,4,1,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,4,6,5,7] => [1,8,7,5,4,3,2,6] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,6,7,3,4,8,2] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[6,8,3,4,1,5,7,2] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,8,2,5,7,4,1,3] => [1,6,4,5,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,2,8,3,1,5,6,7] => [1,4,3,8,7,6,5,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,7,3,8,4,6,1] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,8,4,3,1,6,2] => [1,5,3,8,2,7,6,4] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[4,3,7,2,5,8,1,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,6,4,3,8,5,1,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,1,3,4,5,7,6] => [1,8,6,5,4,3,2,7] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,4,8,3,7,6,2] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,7,5,3,6,4,2,1] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,3,6,7,4,1] => [1,8,2,5,6,7,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,4,8,1,7,6,3] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,2,1,3,8,7,5,4] => [1,6,7,5,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,8,1,6,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,4,1,2,5,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,7,5,1,6,2,8,3] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,3,7,1,6,8,5,2] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,4,8,6,7,1,5] => [1,3,4,8,5,6,7,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,7,1,6,8,2,5] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,7,2,6,8,5,3] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,7,3,6,1,8,5] => [1,4,3,7,8,5,6,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,5,3,4,1,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,3,5,2,8,1,6] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,2,3,4,8,1,6] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,3,5,4,6,2] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,2,4,5,3,6] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,5,4,3,6,8] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,5,4,2,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,3,2,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,3,5,2,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,4,5,3,6,8] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,4,5,2,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,5,4,2,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,2,4,1,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,3,4,1,5,2,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,4,6,1,5,3,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,7,1,3,5,2,6,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[5,7,1,4,2,6,3,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,5,2,7,1,6,4,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,6,1,5,3,8,4,2] => [1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,1,7,2,6,4,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,1,6,3,4,7,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,8,1,5,3,7,2] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[8,6,5,1,4,3,7,2] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,1,8,2,4,6,3] => [1,7,6,4,8,3,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,2,5,3,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,1,8,6,7,4,3] => [1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,4,6,7,1,2] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,5,8,6,7,4,1] => [1,3,5,6,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,6,7,1,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,2,7,3,8,4,1,5] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,2,5,3,1,6,8] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,2,5,4,1,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,2,7,6,5,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,4,8,3,2,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,8,4,1,7,6,2,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[1,8,5,6,2,4,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,4,5,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,6,4,5,3,2] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,3,6,5,4,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,4,6,5,3,2,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,7,2,6,8,5,1] => [1,3,7,5,6,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,4,7,1,6,8,5,2] => [1,3,7,5,6,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,8,3,2,5,6,1,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,3,8,7,4,1,6,2] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,7,5,3,6,2,4,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,1,8,5,4,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[4,2,1,6,8,7,5,3] => [1,4,6,7,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,7,1,8,3,4,6] => [1,5,8,6,3,7,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,4,1,6,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,8,5,7,6,2,1] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,5,6,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,2,1,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,6,3,1,7,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,7,2,1,4,6,3] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[1,5,3,8,2,6,7,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,4,2,1,3,6,7,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,6,1,3,4,2,8,7] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,2,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,2,4,5,6,3] => [1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,3,2,8,7,5,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,3,6,7,4,2,5,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,2,4,7,1,8,6,5] => [1,3,4,7,6,8,5,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,2,6,3,4,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,8,5,6,3,2,1] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,2,5,4,7,8,3] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[1,8,2,5,6,3,7,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,5,2,3,6,8] => [1,7,6,3,2,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,1,8,4,3,2,7] => [1,5,4,8,7,2,6,3] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,5,2,7,6,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,7,4,6,2,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,7,4,2,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,4,7,8,2,6] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,5,7,4,8,2,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,7,4,8,6,2] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,5,7,2,8,6,4] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,7,2,8,6,5,4] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,2,4,8,1,5,6,7] => [1,3,4,8,7,6,5,2] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,2,3,1,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,7,6,2,3,1,4] => [1,8,4,6,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,8,5,3,1,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,3,6,1,8,7,5,2] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,2,8,5,7,3,1,4] => [1,6,3,8,4,5,7,2] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,3,6,7,4,8,5,1] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,3,7,8,4,5,6,1] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[7,3,2,1,4,5,8,6] => [1,7,8,6,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,3,4,7,6,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,3,4,6,7,5] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,1,3,5,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,1,4,5,7,6] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,7,3,5,2,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,5,3,1,6,7] => [1,8,7,6,2,4,5,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,5,4,1,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,8,2,7,4,3,6] => [1,5,7,3,8,6,4,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,3,4,1,7,5] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,3,5,4,2,6] => [1,8,6,4,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,3,4,7,1,5] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,1,2,6,5,3] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,3,7,2,6,5,1,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,6,8,5,7,3,4,2] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,4,8,5,3,1,6,2] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,1,6,8,5,7,4] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,3,1,2,4,7,6,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,2,4,1,7,8,6] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,1,2,8,6,5,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,3,4,8,2,1,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,5,1,8,6,4,3] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,2,6,5,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,4,1,6,7,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,4,6,5,2,1] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[2,8,7,6,3,5,4,1] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,5,3,2,4,7] => [1,8,7,4,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,1,5,3,2,4,6] => [1,7,4,5,3,2,8,6] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,1,5,2,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,1,8,2,3,6] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,7,3,2,4,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,1,7,2,3,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,5,3,6,8,1,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,7,1,3,4,8,2,6] => [1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[5,7,1,3,4,6,8,2] => [1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[1,6,7,3,4,5,8,2] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[3,5,2,6,1,7,8,4] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,2,4,5,1,7,8,3] => [1,6,7,8,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,7,1,2,5,6,8,3] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,5,3,2,4,8,1,6] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,4,2,1,6,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,4,1,6,2,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,2,1,8,3,6] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,4,6,7,3,1,8,2] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,7,5,8,6,1,4,2] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,7,5,8,6,4,1,2] => [1,3,5,6,4,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,8,5,6,3,4,2] => [1,7,4,5,6,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,1,5,3,6,4,2] => [1,7,4,5,3,2,8,6] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,5,8,1,6,4,2] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[5,7,3,4,8,6,1,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,1,4,3,5,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,7,8,1,5,4,6,2] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,5,7,1,4,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,3,1,8,7,5,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,2,1,5,6,8,4,3] => [1,7,4,5,6,8,3,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,8,3,7,4,1,2] => [1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[1,3,4,6,2,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,4,6,3,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,1,5,2,8,7,6,3] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,6,5,2,1,4,3,7] => [1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,3,7,5,4,2] => [1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,7,4,3,6,5] => [1,8,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,1,5,4,3,6] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,8,3,1,5,6,7] => [1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[8,2,1,7,6,4,3,5] => [1,8,5,6,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,6,5,4,3,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,2,7,1,6,4,3] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,6,3,7,5,2,1,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,7,5,1,6] => [1,8,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,7,1,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,5,7,6,1,3] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,7,6,4,5,1,8,2] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,5,1,2,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,5,1,6,3,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,1,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,3,4,1,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,4,5,6,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,6,1,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,4,2,5,6,3] => [1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,1,5,6,2,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,2,8,6,7,5,1,4] => [1,3,8,4,6,5,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,4,5,1,6,2] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,4,1,5,6,3] => [1,8,3,2,7,6,5,4] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,7,5,6,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,8,6,7,4,3] => [1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,2,6,7,5,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,4,3,5,7,1] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,4,6,3,2,5,1] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,1,3,4,6,2,8] => [1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[6,8,3,7,2,5,4,1] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,6,1,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,6,4,2,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,3,1,5,6,2,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,4,6,7,2,1,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[3,6,8,5,7,1,4,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,5,6,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,1,5,8,6,2] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,5,1,6,4,7,2,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,2,6,1,7,4,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,2,6,4,7,1,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,1,6,8,5,4,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,3,6,2,8,7,4,5] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,4,1,7,8,5,6,3] => [1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,6,2,1,7,5,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,2,6,4,3,1,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,1,6,4,3,2,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,3,2,1,5,4,6,8] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,2,1,5,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,7,2,5,6,1,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,4,2,6,7,1,5,8] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,7,2,5,4,3,6,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,5,3,7,8,2,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,7,3,6,1,5,4,2] => [1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,3,8,6,7,1,5] => [1,2,4,8,5,6,7,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,6,3,4,2,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,6,4,7,2,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,4,7,2,3,6,1] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,8,3,4,7,5,2] => [1,6,7,5,4,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,2,3,4,1,8,6] => [1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[6,1,2,7,4,5,8,3] => [1,6,5,4,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,8,3,4,1,6,7] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[1,2,5,7,3,6,4,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,6,8,4,5,2,7,3] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,2,5,6,3,8,7,4] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,2,4,3,1,6,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,4,6,5,3,7] => [1,8,7,3,2,4,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,1,8,7,4,3,5] => [1,6,4,8,5,7,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,1,5,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,4,2,3,6,7] => [1,8,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,5,3,2,6,7] => [1,8,7,6,2,4,5,3] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,8,4,5,6,3] => [1,7,6,5,4,8,3,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,3,5,6,4,8] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,3,5,6,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,2,6,7,5,8,4] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,7,6,5,3,2,4] => [1,8,4,6,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,3,4,5,8,6,1] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,5,7,1,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,6,8,5,1,2] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,6,8,4,1,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,5,7,1,4,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,6,3,7,5,2] => [1,8,2,4,6,7,5,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,2,1,6,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,2,7,4,1,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,6,7,5,2,4] => [1,3,8,4,6,5,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,4,7,6,5,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,8,2,5,1,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[8,2,4,3,5,1,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,5,2,4,7,8,3] => [1,6,7,8,3,5,4,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,5,1,3,6,2,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,8,5,6,2,1,3] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,8,4,7,3,5,1] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,5,4,1,8,6,3,2] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,5,6,3,4,7] => [1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,2,6,4,7,8,3] => [1,2,5,4,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,5,7,1,4,8,3] => [1,6,4,7,8,3,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,5,7,3,4,1,8] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,5,4,2,6,3,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,8,7,6,2,5,4,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,8,5,3,7,1,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,4,5,3,2,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,1,5,2,8,7,6] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,4,6,3,7,2,5] => [1,8,5,3,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,6,3,7,5,2] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,6,7,5,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,6,2,7,5,3] => [1,8,3,4,6,7,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,2,4,7,3,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,2,4,7,3,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,6,3,4,7,2,5] => [1,8,5,4,3,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,3,4,7,2,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,2,5,4,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,1,2,5,4,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,1,5,4,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,6,3,4,7,1,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,1,4,7,3,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,5,4,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,3,5,4,8,2,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,6,3,1,4,7,2,5] => [1,8,5,4,2,6,7,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,3,2,7,8,5,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,3,1,7,8,5,6] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,7,3,5,4,8,1,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,2,1,4,7,8,5,6] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,7,6,4,3,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,2,7,1,3] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,1,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,8,6,4,2,1,3] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,2,1,4,6,8] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,2,5,1,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,6,1,4,7,5,2] => [1,3,6,7,5,4,2,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,8,7,6,2,3,4] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,7,6,2,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,1,8,2,7,3,4] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,4,2,3,6,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,2,1,5,7,8,3] => [1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[4,2,7,1,6,3,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,8,4,3,1,5,7,2] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,8,4,2,1,5,7,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,2,1,4,6,8,5,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,3,2,1,6,7,8,4] => [1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,4,5,7,2,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,2,8,5,1,6,3,4] => [1,7,3,8,4,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,6,5,7,3,4,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,5,3,8,1,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,6,5,7,1,4,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,6,2,4,7,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,1,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,8,1,6,3,4,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,4,2,1,6,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,6,1,3,2,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[2,8,5,4,6,1,7,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,4,6,1,3,7,8,2] => [1,5,3,6,7,8,2,4] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,2,1,5,7,3,4,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,4,8,1,3,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,1,7,2,6,8,3,5] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,3,2,4,6,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,8,7,4,2,6,3] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,2,1,8,7,3,4,6] => [1,5,7,4,8,6,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,2,7,1,6,5] => [1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,5,3,1,7,4] => [1,8,4,5,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,6,1,3,5,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,4,1,7,6,8,5,3] => [1,2,4,7,5,6,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,2,4,5,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,2,5,3,1,6,4,7] => [1,8,7,4,3,5,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,3,2,4,7] => [1,8,7,4,2,6,3,5] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,4,5,2,1,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,6,1,4,7,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,8,7,5,6,2,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,5,7,2,4,8,3] => [1,6,4,7,8,3,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,4,5,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,6,3,8,2,4] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,1,3,7,4,6,2] => [1,8,2,5,7,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,8,1,5,4,2] => [1,7,4,8,2,6,5,3] => ([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[7,2,1,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,6,5,3,2,1,7] => [1,8,7,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,1,6,4,3,2,8,7] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,3,7,1,4,6,5,2] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,6,4,7,5,1] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,5,6,2,4,7] => [1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,4,1,3,6,2,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,4,1,6,3,8,5,2] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,4,1,3,2,7,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,2,3,6,8,7,5] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,8,6,4,7,1,5] => [1,3,8,5,4,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,6,3,2,1,5] => [1,7,2,8,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,2,5,3,6,7,1,4] => [1,8,4,3,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,5,2,6,8,1,3] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,2,3,8,1,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,6,7,3,1,4,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,3,7,8,2,5,6,4] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[4,8,5,1,6,2,3,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,4,2,1,5,6,7] => [1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[3,4,2,8,1,5,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[4,8,5,2,6,1,3,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,4,8,5,3,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,1,3,4,7,2,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,4,7,5,6,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,2,3,6,5,4,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,7,4,3,6,5] => [1,8,5,4,7,6,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,2,8,5,4,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,4,2,8,7,5,3,6] => [1,2,4,8,6,5,7,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,6,5,8,4,3,2] => [1,7,3,6,4,5,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,2,5,3,6,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,5,4,6,1,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,4,7,5,1,3] => [1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,7,4,1,8,5,2] => [1,6,8,2,3,7,5,4] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,2,6,3,7,4,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,2,4,7,5,1] => [1,8,2,6,7,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,5,1,3,8,7,6] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,3,1,8,7,4,2,6] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[1,8,5,2,7,4,6,3] => [1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,8,5,2,1,6,3] => [1,7,6,2,4,5,3,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,8,5,7,3,2,6] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,7,5,8,6,1,2,4] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,7,5,6,2,3,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,8,5,7,1,3,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,2,8,6,7,1,3,4] => [1,5,7,3,8,4,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,8,7,6,1,3,4] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,3,5,2,8,7,1,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,5,6,4,7,2,3] => [1,8,3,5,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,2,6,1,8,5,4] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,4,3,6,8,1,5] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,4,6,1,5,3,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,1,6,3,2,5,7] => [1,8,7,5,3,2,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,4,5,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,8,4,6,1,7,5,2] => [1,3,4,6,7,5,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,5,8,4,1,3] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,7,3,4,6,5,1] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,1,7,2,8,5] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,2,4,3,5,1,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,1,5,3,2,8,4,7] => [1,6,8,7,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,1,5,8,3,6] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,6,4,5,2,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,3,1,8,6,4] => [1,7,6,8,4,3,5,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,3,2,8,1,6,5] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,6,1,4,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,8,4,1,5,3] => [1,7,5,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,7,2,1,6,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,1,3,5,4,2,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[5,2,6,3,4,7,1,8] => [1,5,4,3,6,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,6,7,4,8,5,2] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[6,3,1,5,4,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[1,7,4,2,6,3,8,5] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,7,6,5,1,2,8,4] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,2,8,7,6,4,3,1] => [1,5,6,4,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,6,1,5,4,3] => [1,8,3,7,4,6,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,7,3,8,4,2,1] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,4,6,1,5,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,1,6,7,5,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,1,5,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,7,2,5,6,3] => [1,8,3,4,7,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,3,7,4,6,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[3,2,7,1,4,5,8,6] => [1,3,7,8,6,5,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,3,6,8,4,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,3,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,4,3,7,5,6,2] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,6,4,7,3,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,8,6,4,7,3,1] => [1,5,4,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,8,6,5,7,3,1] => [1,4,6,7,3,8,2,5] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,8,2,7,4,5,6,3] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,8,5,6,7,3,1] => [1,4,5,6,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,5,7,4,6,2] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,4,6,8,3,2,1] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[4,2,7,1,3,8,5,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,4,2,3,8,1,6,5] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,3,7,1,4,5] => [1,8,5,7,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,7,1,3,5,4] => [1,8,4,7,5,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,5,8,1,2,4,6] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[5,8,7,1,2,4,6,3] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[6,1,3,4,7,2,5,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,2,1,5,7,4,3,8] => [1,6,4,5,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,4,8,7,5,6,1,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,5,7,8,2] => [1,6,7,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[5,7,4,1,2,6,3,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,1,2,4,6,8,7,5] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,3,8,5,7,6,1,2] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,5,1,6,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,3,4,6,7,2,8] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[8,2,4,1,7,3,5,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,3,8,2,6,5] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,7,1,3,8,2,6,5] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[8,7,1,3,4,2,6,5] => [1,8,5,4,3,2,7,6] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,3,6,2,8,5] => [1,2,7,8,5,6,3,4] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,3,4,2,6,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,3,5,4,7,1,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,3,2,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,2,6,5,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,4,8,6,3,2,7] => [1,5,6,3,4,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,2,6,5,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,1,4,8,6,3,2] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,5,3,6,1,4,7,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,7,2,6,4,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,1,5,4,2,6] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,7,3,1,4,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,3,8,4,6,2] => [1,7,6,4,3,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,4,3,5,6,7] => [1,8,7,6,5,3,2,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,2,5,7,4,8,3] => [1,6,4,5,7,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,2,6,7,1,8,5] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,8,2,4,1,6,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,2,5,6,1,4,7] => [1,8,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,1,8,3,6,5] => [1,7,6,3,4,2,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,6,3,5,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,4,1,6,2,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,4,1,5,2,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,2,5,8,6,1] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,2,6,7,3] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,4,8,6,7,1,3] => [1,5,6,7,2,3,4,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[7,3,5,2,4,6,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,2,5,4,6,8] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,2,7,4,1,6,8] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,3,1,2,5,4,6,8] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,4,2,6,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,4,7,6,5,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,2,7,6,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,4,2,8,1,6] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,6,2,4,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,3,6,8,5,4] => [1,2,7,5,6,8,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,4,2,8,7,1,5] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,6,4,1,8,7,2,5] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,6,4,3,8,5,2,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,1,3,2,5,8,4,6] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,4,2,8,5,3,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,2,3,5,4,8,6,1] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,6,5,8,1,3,2,4] => [1,7,2,6,3,5,4,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,3,5,2,7,8,6] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,3,6,1,2,7,5,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,2,6,1,3,7,5,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,2,4,5,1,8,3,7] => [1,6,8,7,3,4,5,2] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,1,6,7,4,5,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,1,6,4,7,5,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,1,4,8,5,3,7] => [1,2,6,5,8,7,3,4] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,4,2,6,7,3,1,5] => [1,8,5,7,2,4,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,2,3,8,4,1,5] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,6,5,1,7,3,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,8,2,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,4,7,3,6,8,2] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,4,3,8,5,2,6,1] => [1,7,6,2,4,8,3,5] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,7,2,5,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,8,3,4,7,5,1] => [1,6,7,5,4,3,8,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,1,8,4,2,5] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,2,7,6,4,3,5] => [1,2,8,5,6,4,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,7,6,4,2,1] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,2,4,6,3,1] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,4,7,5,2,1] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,8,7,4,1,6,3] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,6,3,1,4,7,5,2] => [1,8,2,6,7,5,4,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,5,7,6,4,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,2,6,4,7,5,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,6,3,5,2,8] => [1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,8,4,6,1,7,2] => [1,3,8,2,5,6,4,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,7,1,6,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,8,6,1,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,1,3,4,2,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,5,7,6,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,5,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,3,6,8,2,5] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,4,6,3,7,5,1] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,3,6,5,4,2] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,8,5,7,4,1,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,5,6,4,2,1] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[2,8,7,6,4,5,3,1] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,6,5,3,4,2] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,3,7,1,5,4,2] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,2,6,7,8,4,3,5] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,6,8,4,7,1,5,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,5,6,3,2,4] => [1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,4,6,5,3,1] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,1,8,4,6,5,3] => [1,2,7,5,4,8,3,6] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,6,1,4,5,3,2] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,1,3,8,4,2,5] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,3,1,8,6,4,5] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,1,6,5,8,4,7,2] => [1,3,6,4,5,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,2,6,5,8,4,7,1] => [1,3,6,4,5,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,7,6,2,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,5,6,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,3,4,6,7,5] => [1,8,5,4,3,2,6,7] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,4,2,6,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,2,5,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,4,5,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,4,3,6,7,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,3,2,1,7,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,4,8,1,6,7,3] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,2,6,5,8,7,3,4] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,3,4,6,8,5,7,1] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,7,4,8,6,1] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,2,4,5,1,3,7,6] => [1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,4,5,7,2,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,3,5,4,1,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,1,5,4,2,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,6,5,4,1,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,8,7,1,6,5,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,1,4,5,6,3] => [1,8,3,7,6,5,4,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,3,5,2,6,4] => [1,8,4,3,7,6,2,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,3,2,4,6,7] => [1,8,7,6,4,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,4,8,2,3,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,4,1,2,6,8,3,5] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,6,1,5,2,8,4] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,5,1,4,8,2,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,2,3,8,4,1,6] => [1,7,2,5,8,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,4,6,8,5,7,3] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,8,7,4,6,5,1,2] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[5,2,4,8,7,6,1,3] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[7,3,4,6,8,1,2,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,6,3,4,7,1] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,3,5,4,7,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,5,8,4,6,3] => [1,7,6,4,5,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,4,7,6,2,8,3] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,3,2,5,8,1,6,4] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,7,6,3,5,1,2] => [1,8,2,4,6,5,3,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,4,2,3,5,6] => [1,8,6,3,7,5,2,4] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,7,4,3,2] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,5,6,1,4,2] => [1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,2,4,6,8,3,5] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,6,4,2,7,3,5,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,8,3,5,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,1,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,6,3,1,4,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,4,7,8,5,3,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,3,1,6,5,7,4,2] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,2,6,4,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,1,6,5,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,3,4,1,6,5,2] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,7,3,4,2,6,5,1] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,4,1,7,6,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,2,4,7,6,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,2,4,1,6,5,3] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,2,8,3,5,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,2,5,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,8,1,5,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,1,4,5,7,2,3,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,2,1,5,3,7,4,6] => [1,8,6,7,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,8,5,7,2,3,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,6,5,3,8,4,1,2] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,1,3,7,8,6,4] => [1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,2,1,5,7,4,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,7,4,5,3,6] => [1,8,6,5,4,7,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,7,5,6,4,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,8,2,5,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,6,7,2,5,4,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,2,4,6,1,5,3] => [1,8,3,2,7,5,6,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,3,7,4,5,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,5,7,3,4,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,6,1,5,2,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,8,4,1,5,2,6,7] => [1,3,4,2,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[2,5,6,4,1,3,7,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,1,2,5,4,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,1,6,5,3,7,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,2,1,5,6,3,7,4] => [1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,1,6,4,7,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,4,5,3,2,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,5,2,4,3,1,7,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,2,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,2,6,3,7,5,4] => [1,2,8,4,6,7,5,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,6,4,7,5,2] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,1,4,2,6,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,1,2,6,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,1,5,3,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,1,3,2,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,5,1,6,2,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[8,5,4,7,2,1,3,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,6,5,1,3,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,5,2,4,8,3,7] => [1,6,8,7,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,5,6,8,2,3] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,6,8,5,4,2,7,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,5,6,7,1,4] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,1,2,5,7,8,3] => [1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[2,6,4,1,5,7,8,3] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[7,3,2,5,4,1,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,7,3,8,6,2,1,5] => [1,4,8,5,6,2,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,3,7,2,1,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,3,4,6,7,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,5,3,1,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,7,4,6,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,2,4,8,3,6] => [1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,4,6,7,2,3] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,4,3,2,6,5,1] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,8,4,3,2,6,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,3,2,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,3,2,5,4,7,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,3,7,6,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,5,3,6,4,2] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,4,2,6,5,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,2,1,5,6,7,3,4] => [1,8,4,5,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,5,6,7,2,3] => [1,4,5,6,7,2,3,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,2,5,6,7,3,4] => [1,2,8,4,5,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,4,1,6,5,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,1,4,2,6,5,3,7] => [1,8,7,3,4,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,4,8,3,7,6,1] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,5,2,3,8,6,1,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[1,8,2,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,4,5,6,2,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,8,5,6,3,4,1] => [1,7,4,5,6,3,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,6,4,7,2,5] => [1,3,8,5,4,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,4,1,5,7,8,3,2] => [1,6,8,2,4,5,7,3] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,7,1,5,6,3] => [1,8,3,4,7,6,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,4,7,1,5,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,6,2,4,1] => [1,8,2,7,4,5,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,5,2,3,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,7,6,1,4,2] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,2,7,4,3,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,7,6,4,1,2] => [1,8,2,5,6,4,7,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,5,7,3,1,4] => [1,8,4,5,7,2,6,3] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,5,4,3,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,3,5,8,4,6,2] => [1,2,7,6,4,5,8,3] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,6,1,4,3,2,8] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,6,1,4,3,2,7] => [1,8,7,2,5,4,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,1,4,3,2,6] => [1,8,6,3,5,4,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,4,3,2,7] => [1,8,7,2,6,3,5,4] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,7,2,5,3,4] => [1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,8,7,2,5,1,3] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,6,3,8,4,1,2,7] => [1,5,4,8,7,2,6,3] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,1,6,4,2] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,1,8,3,2,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,4,7,6,3,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,5,4,6,1,3,2,8] => [1,7,2,5,3,4,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,8,5,1,7,3,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,8,3,5,1,6,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,6,3,7,5,1] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,2,7,5,3,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,2,7,5,1,4,6,3] => [1,8,3,7,6,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,2,5,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,2,4,6,3,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,8,3,2,4,6,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,7,1,4,3,5,6] => [1,8,6,3,7,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,3,6,8,4,5] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,2,6,5,4,3,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,7,6,5,4,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,8,7,1,5,4,2] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,7,1,5,3,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,8,7,3,1,4,2,5] => [1,6,4,3,7,2,8,5] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[6,7,1,2,4,8,5,3] => [1,6,8,3,2,7,5,4] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,2,6,3,8,5,4] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,6,3,7,5,4] => [1,8,4,6,7,5,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,5,8,4,6,3] => [1,7,6,4,5,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,6,1,7,4,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,1,4,3,6,7] => [1,8,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,1,3,6,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,4,3,2,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,5,4,3,1,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,4,2,6,1] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,8,6,2,7,3,1] => [1,4,6,7,3,8,2,5] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,7,8,4,5,1,6,2] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,8,5,4,1,6,2] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,2,5,1,7,4,8] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,6,1,7,5,3,2,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,3,4,7,1,8,5] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[6,3,2,4,7,1,8,5] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,5,3,7,2,6,8,4] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,3,5,1,7,4,2,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,3,4,1,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,6,4,3,2,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,5,6,4,1,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,6,5,2,7,4,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,7,2,5,6,8,3,4] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,8,4,1,5,6,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,3,1,4,7,2,5,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,5,1,4,8,3,7] => [1,6,8,7,3,5,4,2] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,3,6,7,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,7,5,6,4,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,2,3,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,4,6,7,2,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,3,2,8,5,6] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,8,5,6,3,1,2] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,6,2,8,4,1,5] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,4,8,1,6,2,3] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,1,2,4,6,7,8,3] => [1,5,6,7,8,3,2,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,4,2,6,3,7,5,1] => [1,8,2,4,6,7,5,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,7,1,5,4,2] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,3,7,6,2,5,1] => [1,4,7,5,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,6,3,2,4,5,7,8] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[1,5,2,4,6,3,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,3,8,2,7,4,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,4,8,3,2,5,6,7] => [1,2,4,3,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[6,3,1,5,8,7,2,4] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,6,3,5,8,2,1,7] => [1,4,5,8,7,2,6,3] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,2,7,3,5,4,1,8] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,5,3,4,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,6,5,2,3,4] => [1,8,4,6,2,7,3,5] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,8,2,7,3,5,1] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[8,5,4,2,1,6,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,2,6,4,7,8,1] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,1,6,4,8,7,5,2] => [1,3,6,7,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,5,1,4,2,7,8,6] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,8,7,4,5,1,6,3] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,8,5,2,6,7,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,1,2,5,3,6,7,4] => [1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,6,3,7,2,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,2,4,3,5,6] => [1,8,6,3,7,5,4,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,6,2,8,7,1,5] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,2,7,5,6,8,4,1] => [1,3,7,4,5,6,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,6,5,2,7,8,3] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[8,7,2,6,3,5,1,4] => [1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,6,3,5,4,2,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,3,5,6,8,4,2] => [1,2,7,4,5,6,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,6,4,5,2,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,7,6,4,1,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,1,6,8,3,2] => [1,7,3,5,6,8,2,4] => ([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,2,5,3,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,5,4,2,6,3,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,5,4,7,2,6,8,3] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,6,5,3,4,7,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,3,4,7,2] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,3,5,4,7,2] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,2,4,6,5,1,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,6,5,3,1,4,2,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,6,4,2,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,6,7,5,4,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,2,5,4,6,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,7,6,4,2,5,3,1] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,6,2,3,5,1] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,4,6,5,1,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,3,4,6,5,1] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,2,4,3,6,5] => [1,8,5,4,2,7,6,3] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,1,2,4,3,6] => [1,8,6,4,2,7,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,5,6,3,4,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,6,3,1,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,3,6,4,1] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,6,1,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,2,4,3,6,5,1] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,6,4,1,2] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,4,3,6,5,2] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,4,1,6,5,2] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,3,2,8,4,1,5] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,5,2,4,6,7] => [1,8,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,4,7,8,5,3,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,7,2,5,6,3,1,4] => [1,8,4,5,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,6,4,3,2,5] => [1,8,5,4,6,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,6,4,3,1,5] => [1,8,5,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,6,4,3,2,5] => [1,8,5,4,6,3,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,5,6,2,7,3] => [1,8,3,4,5,6,2,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,5,1,7,6,3,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,3,5,1,4,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,7,1,3,6,8,5,4] => [1,2,7,5,6,8,4,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,7,5,1,2,6,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,6,2,1,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,3,5,6,1,4,2] => [1,8,2,7,4,5,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,7,6,1,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,1,6,4,7,2] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,1,4,5,6,2] => [1,8,2,7,6,5,4,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,1,7,4,5,2] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,1,6,7,4,2] => [1,8,2,5,6,7,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,1,6,4,2,7] => [1,8,7,2,5,6,4,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,4,5,2,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,7,4,3,5,6,8] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,2,1,6,5,3,4,7] => [1,8,7,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,1,6,4,5,7] => [1,3,8,7,5,6,4,2] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,8,6,5,7,2,1] => [1,3,8,2,4,6,7,5] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,2,5,7,4,3,6,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,4,8,5,6,7,1,3] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,4,8,5,6,7,3,2] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,6,8,5,4,2,7,3] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,1,3,5,4,2,8,7] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[5,7,2,3,4,6,8,1] => [1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[1,8,6,4,2,5,7,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,5,2,1,4,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,3,1,6,2,8,5,4] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,5,6,2,7,4] => [1,2,8,4,5,6,3,7] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,7,2,6,5,1,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[5,8,4,7,1,6,3,2] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,8,6,5,7,4,1,2] => [1,3,6,4,5,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,5,7,4,3,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,3,1,4,6,2] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,1,2,8,7,3,6] => [1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,7,1,4,2,8,5,3] => [1,6,8,3,2,7,5,4] => ([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,3,2,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,6,4,7,2,5] => [1,2,8,5,4,6,7,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,8,3,5,2,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,2,1,8,6,4,5,3] => [1,7,5,6,4,8,3,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,6,1,7,8,2,5,3] => [1,4,7,5,8,3,2,6] => ([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,7,6,3,4,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,8,1,7,6,2,5,3] => [1,4,7,5,6,2,8,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,1,7,6,4,3,2] => [1,8,2,5,6,4,7,3] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,4,1,6,2] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,3,1,8,7,2,6] => [1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,7,1,3,2,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,2,6,4,3,1,7] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,5,2,1,7,3] => [1,8,3,4,5,2,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,1,4,5,7,3] => [1,2,8,3,6,5,4,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,6,4,8,7,5,1] => [1,3,6,7,5,8,2,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,1,2,6,8,7,5,3] => [1,4,6,7,5,8,3,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,2,5,6,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,3,5,6,2,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,8,1,5,3,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,8,2,1,5,3,7,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,4,8,5,3,6,7,1] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[4,3,5,2,8,6,7,1] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,5,4,2,8,6,7,1] => [1,3,4,2,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,1,2,8,5,6,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,5,4,8,3,6,7,1] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,1,8,3,5,4,7,2] => [1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[7,4,8,5,6,1,2,3] => [1,7,2,4,5,6,3,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,2,5,1,3,7,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,3,6,2,4,1,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,7,8,3,5,4,2,1] => [1,6,4,3,8,2,7,5] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[8,5,2,4,3,6,1,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,7,6,5,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,1,6,7,4,2,3] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[1,5,6,4,2,3,7,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,7,3,6,8,4,2,1] => [1,5,8,2,7,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,2,7,6,8,4,5,3] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,3,8,2,6,1,7,4] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,6,2,4,5,3,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,2,3,5,4,1,8] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,2,7,1,5,3,4] => [1,8,4,7,3,2,6,5] => ([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,7,1,5,2,4] => [1,8,4,7,2,6,5,3] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,7,3,8,4,1,2] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,7,1,3,4,2,8,6] => [1,5,4,3,2,7,8,6] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[7,3,5,6,4,8,1,2] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,6,3,4,2,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,6,4,1,2,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,2,5,7,8,6,4] => [1,3,2,4,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,3,5,1,2,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,5,7,1,6,4,8] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,5,3,7,4,2,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,4,6,3,7,2] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,1,5,6,4,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,5,3,2,6,7,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,6,7,3,2,8,4] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,2,3,7,8,5,4,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,4,5,6,2,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,7,5,2,6,1,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[1,8,7,6,4,3,5,2] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,7,3,2,4,1,5] => [1,6,4,3,7,2,8,5] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[2,8,7,6,4,5,1,3] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,5,2,8,4,6,1] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,1,6,4,7,2] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,4,2,1,6,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,7,3,5,4,2,1] => [1,6,4,3,7,2,8,5] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[7,3,1,2,5,8,4,6] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,2,5,6,7,3,1] => [1,8,2,4,5,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,1,6,4,7,3,2] => [1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,1,4,7,3,5,2] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,2,4,6,8,3,1,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,4,3,2,8,5,7] => [1,6,8,7,5,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,3,5,7,1,4,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,1,3,6,8,5,2,4] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,1,3,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,3,7,4,5,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,5,2,7,1,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,2,6,3,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,5,3,6,4,1,7] => [1,8,7,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,6,2,5,4,1,8] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,8,3,6,4,1,7] => [1,5,6,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,4,6,5,1,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,6,3,8,4,1,5] => [1,7,2,3,6,4,5,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,5,3,7,4,1,6] => [1,8,6,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,3,7,5,1,6] => [1,8,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,3,1,6,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,1,3,6,4,2,7] => [1,8,7,2,5,6,4,3] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,3,2,5,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,3,2,4,7,8,5] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,2,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,2,3,7,1,6,5] => [1,8,5,7,6,2,4,3] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,4,8,7,3,1,6] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[4,8,1,6,3,7,5,2] => [1,4,6,7,5,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,2,6,1,4,7] => [1,8,7,4,2,3,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,6,2,7,4,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,4,6,7,1,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,2,1,8,5,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,7,3,4,5,8,2,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,5,8,7,6,4,1,2] => [1,3,8,2,5,6,4,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,8,1,7,6,4,3,2] => [1,5,6,4,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,1,6,3,4,2,7] => [1,8,7,2,5,3,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,1,3,7,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,6,3,7,1,5] => [1,8,5,3,4,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,2,5,8,7,3] => [1,6,8,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,2,3,5,1,4,6,7] => [1,8,7,6,4,5,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,8,5,7,6,2,3] => [1,4,5,7,2,3,8,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,8,4,5,1,3,6,2] => [1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,7,1,5,4,6,2] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,3,4,6,1,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,4,2,5,3,1,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,2,6,3,4,5,8] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,5,1,6,3,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,8,5,2,4,7,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,7,8,4,3,2,6,1] => [1,5,3,8,2,7,6,4] => ([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[3,2,1,4,5,8,6,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,5,3,2,6,8,4,7] => [1,2,5,6,8,7,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,4,6,5,1,3,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,3,4,5,1,6] => [1,8,6,5,4,3,7,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,2,4,6,3,7] => [1,8,7,3,5,4,2,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,1,2,4,6,7,5] => [1,8,5,4,2,3,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,6,4,2,3,7] => [1,8,7,3,5,4,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,6,5,4,3,2,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,3,8,4,6,1] => [1,7,6,4,3,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,8,1,7,4,5,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,2,5,4,6,1] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,2,1,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,7,5,3,1,4] => [1,8,4,7,2,6,3,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,8,1,5,2,6,7] => [1,4,2,3,8,7,6,5] => ([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[7,1,4,5,8,2,6,3] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,3,8,5,1,7,4,2] => [1,6,7,4,5,2,3,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[8,2,3,5,6,1,4,7] => [1,8,7,4,5,6,2,3] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,1,4,6,5,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,7,1,2,6,5,8,3] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,5,8,3,7,4,2,1] => [1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[8,2,5,1,6,3,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,2,7,8,5,4,6] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,7,8,5,4,2,6,1] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,5,7,4,8,1,6] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,3,5,1,8,7,2,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,8,4,5,3,6,1,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,8,1,6,4,2,3] => [1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,6,3,4,1,7,5] => [1,8,5,4,3,6,2,7] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,3,4,7,8,5,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,2,1,3,7,5,8,4] => [1,6,5,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,3,2,5,8,1,6] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,4,7,2,8,5,3] => [1,6,8,3,4,7,5,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,6,1,7,4,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,6,5,1,8,2,3] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,2,6,8,4,5] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,3,7,4,2,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,5,3,8,4,2,1] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,2,4,6,5,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,8,5,2,7,4,3,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,2,4,1,6,7,8,3] => [1,5,6,7,8,3,4,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,2,7,1,6,8,3,5] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,1,3,4,7,2,8,5] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[8,4,7,2,5,3,1,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,5,2,1,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,1,4,7,3,5,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,7,5,2,3,8,6] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,8,4,6,1,7,5,3] => [1,2,8,3,4,6,7,5] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,4,7,3,5,1] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,1,4,6,5,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,4,6,8,5,3,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,2,8,5,6,7,1,4] => [1,3,8,4,5,6,7,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,4,7,5,6] => [1,8,6,7,5,4,2,3] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,6,4,5,7,2] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,7,2,5,3,4,6] => [1,8,6,3,7,4,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,7,4,5,6,2] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,3,7,4,5,8,2] => [1,2,6,5,4,7,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,3,7,1,5,2,8] => [1,4,7,2,6,5,3,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,8,5,4,1,7,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,1,2,4,3,7] => [1,8,7,3,5,2,6,4] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,2,5,3,6,7] => [1,8,7,6,3,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,7,4,5,6,1] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,4,5,3,1,6,7] => [1,8,7,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,1,3,2,6,7] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,1,6,4,2,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[6,3,2,5,7,1,4,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,5,4,1,6,3,7,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,5,3,4,8,7,6] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,2,7,8,3,5,6,4] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,1,7,8,4,5,6,3] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,2,1,4,3,7,6,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,5,1,8,6,7,3] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,8,6,3,5,4,7,1] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,1,3,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,6,5,8,4,3,1] => [1,7,3,6,4,5,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,2,3,4,6,1,7] => [1,5,4,3,2,8,7,6] => ([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => 1

[1,5,6,3,2,4,7,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,7,4,3,2,6,1,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,7,4,2,1,6,3,8] => [1,5,2,7,3,4,6,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,4,8,6,3,5,2,1] => [1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,2,4,5,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,2,1,5,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,6,1,4,5,3,2,8] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,6,4,3,2,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,2,3,6,8,4,5] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,4,2,5,3,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,2,5,3,1,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,3,2,5,6,8,1] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,2,6,1,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,5,3,8,4,6] => [1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,8,2,4,3,6,7] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[3,6,8,4,5,1,7,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,1,2,8,6,4,5] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,5,2,4,6,3] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,7,5,2,6,3] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,1,4,2,6,5,8] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,1,4,2,7,3,8] => [1,6,7,3,2,5,4,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,3,7,8,4,5,6,2] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,8,6,4,5,1,7,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,1,5,6,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,4,2,7,8,5,1] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,4,5,1,6,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,3,6,8,4,1] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,6,5,3,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,2,5,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,3,2,6,8,5,4,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,7,4,2,6,5,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,3,6,4,5,2,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,7,3,4,5,2,6] => [1,8,6,5,4,3,7,2] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,3,4,6,2,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,1,3,4,7,8,5] => [1,6,7,8,5,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,4,3,8,7,2,5] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,5,3,4,7,6,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,7,3,5,4,6,2] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,1,4,6,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,6,5,1,2,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,5,7,4,8,6,3] => [1,2,3,5,4,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,7,5,4,8,2,6,1] => [1,3,5,8,2,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[6,3,8,7,2,5,4,1] => [1,6,5,2,3,8,4,7] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,6,2,4,7,5,3] => [1,8,3,6,7,5,4,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,6,1,7,5,3] => [1,8,3,4,6,7,5,2] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,7,3,5,6,2] => [1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,7,5,6,4,1,2] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,8,7,5,6,2,1,4] => [1,3,7,2,8,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,8,7,5,6,2,4,1] => [1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,7,5,6,4,1,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,1,3,6,2,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,1,8,3,4,2,6] => [1,7,2,5,3,4,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,2,8,1,7,4,3,6] => [1,5,7,3,8,6,4,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,3,7,1,4,6,2] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,8,4,5,7,2,6,1] => [1,3,4,5,7,6,2,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,8,6,3,7,5,1] => [1,4,6,7,5,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,2,1,8,7,3,6] => [1,4,2,5,8,6,7,3] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,3,6,4,7,2] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,4,1,5,7,2,8] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,6,5,2,8,4,1,3] => [1,7,2,6,4,3,5,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,2,4,5,3,7,1] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,2,5,1,8,7,3,6] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,2,5,4,7,8,3,6] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,3,4,8,5,2,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,6,3,5,4,1,2,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,1,7,4,6,2,3] => [1,8,3,2,5,4,7,6] => ([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,3,5,4,1,2] => [1,8,2,7,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,4,8,3,1,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,5,4,8,1,7,3,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,6,2,5,3,8,4,1] => [1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,1,3,8,6,2,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[7,2,6,8,4,5,3,1] => [1,7,3,6,5,4,8,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,2,8,1,4,6,3] => [1,7,6,4,8,3,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,6,3,5,7,4,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,2,4,6,8,3,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,4,3,6,7,2,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,2,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,6,5,7,8,4,2,3] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[3,1,8,5,4,6,2,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,6,8,5,4,3,7,1] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,6,8,2,5,4,7,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,2,6,7,4,3,5,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[3,4,8,2,5,6,1,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,6,7,4,5,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,5,1,6,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,4,6,2,3,1,8,7] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,1,7,6,8,4,5,3] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[2,8,3,1,7,4,5,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,6,3,5,7,4,8,2] => [1,2,6,4,5,7,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,6,5,3,4,7] => [1,8,7,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,6,3,5,7,4] => [1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,2,8,5,1,6,7] => [1,3,2,4,8,7,6,5] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[1,8,4,5,7,6,2,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,2,5,4,7,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,8,2,5,4,6,1] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,4,1,5,3,2] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,3,4,8,1,6] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,3,7,5,6,1] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,8,5,7,6,4,2,1] => [1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,6,3,5,4,2,1] => [1,7,2,8,3,6,4,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[3,1,5,8,6,4,7,2] => [1,3,5,6,4,8,2,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,1,6,4,2,7] => [1,8,7,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,5,8,3,6,4,2,1] => [1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,7,5,8,2,6,4,1] => [1,3,5,2,7,4,8,6] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[7,2,4,1,6,5,3,8] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,2,6,8,4,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,4,3,7,1,5,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,1,3,2,5,6,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[1,7,2,5,6,8,4,3] => [1,2,7,4,5,6,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,6,4,5,2,8] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,2,6,5,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,1,8,2,6,5] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,4,3,5,2,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,7,6,8,1,4,3] => [1,5,8,3,7,4,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,5,4,1,2,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,5,3,7,6,4] => [1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,3,8,7,4,1,6] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[3,7,5,4,6,1,2,8] => [1,3,5,6,2,7,4,8] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,1,4,8,7,3,2,6] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[6,1,3,4,2,7,8,5] => [1,6,7,8,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,5,2,8,3,6,7,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,4,8,5,3,6,7,2] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,8,1,5,6,4,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,1,6,2,3,4,7] => [1,8,7,4,6,3,2,5] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,4,7,3,5,2,1] => [1,8,2,6,5,3,4,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,8,7,6,2,4,1] => [1,3,8,2,5,6,4,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,3,2,1,8,6,4,5] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,7,4,5,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,2,3,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,2,7,8,4,5,6,3] => [1,2,3,7,6,5,4,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[2,3,6,5,1,7,4,8] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,6,5,2,1,7,8,3] => [1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[4,2,6,5,1,7,8,3] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,3,6,5,1,7,8,2] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[5,3,8,4,6,2,7,1] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,1,6,5,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,5,1,8,6,7,2] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,7,1,6,3,5,4,2] => [1,8,2,7,4,6,5,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,7,1,5,6,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,5,7,8,4,1,3] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,5,8,2,6,4,1,3] => [1,7,2,5,6,4,3,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,8,7,6,2,1,4] => [1,5,6,2,3,8,4,7] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,6,2,5,3,1,4,8] => [1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,5,3,1,8,6,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,2,3,7,4,1,6,8] => [1,5,4,7,6,2,3,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,5,1,6,3,2,7,8] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,3,4,8,7,6,2,1] => [1,5,7,2,3,4,8,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[1,8,2,6,7,4,5,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,3,6,4,7,2,1] => [1,8,2,5,4,6,7,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,5,3,6,7,4,1] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,5,1,4,6,3,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,3,6,4,2,5] => [1,8,5,6,4,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,3,2,7,5,8,4] => [1,2,6,5,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,3,6,4,7,8,1] => [1,2,5,4,6,7,8,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,6,2,3,5,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,8,6,5,2,4,7,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,6,5,1,3,7,8,2] => [1,4,2,6,7,8,3,5] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => 1

[4,7,2,1,6,5,8,3] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,2,3,6,8] => [1,7,6,3,4,5,2,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,1,2,4,5,7,6] => [1,8,6,5,4,2,3,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,5,1,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[3,5,8,6,2,1,4,7] => [1,3,8,7,4,6,2,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,3,1,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,3,4,6,5,2,1] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,1,4,5,3,6,2] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,6,8,5,7,4,2,1] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,7,5,6,3,4] => [1,8,4,7,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,1,4,8,3,6] => [1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,8,5,2,7,6,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,6,1,5,7,4,8,3] => [1,2,6,4,5,7,8,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,6,5,1,3,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[4,1,6,5,3,7,8,2] => [1,4,5,3,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,6,5,2,7,3,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[8,4,3,6,7,2,1,5] => [1,8,5,7,2,4,6,3] => ([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,4,5,3,7,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,4,5,3,1,7] => [1,8,7,2,6,3,4,5] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,6,2,4,5,7] => [1,8,7,5,2,3,4,6] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,4,6,7,5,2,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,2,1,5,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,4,7,3,6,5] => [1,8,5,7,6,3,2,4] => ([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,1,6,7,4,8,5] => [1,3,2,4,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,8,5,3,6,4,7,1] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,3,6,5,4,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,5,3,4,8,6] => [1,7,8,6,4,5,3,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,2,7,3,5,6,1] => [1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,6,4,7,5,3,2] => [1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,1,7,4,6,3] => [1,2,8,3,5,7,6,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,4,7,5,2,3] => [1,2,8,3,6,5,7,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,8,6,3,7,5,2] => [1,4,6,7,5,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,6,1,7,3,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,5,3,7,1,2,6] => [1,8,6,2,4,3,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,6,4,2,8,3,1,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,1,4,3,7,6,2] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,6,5,1,3,2,7] => [1,8,7,2,4,5,3,6] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,5,1,4,2,6,8,7] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,5,1,4,2,6,7,8] => [1,3,2,5,4,6,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,6,2,4,5,7,1,3] => [1,8,3,2,6,7,4,5] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,2,3,4,1,8,5,6] => [1,7,5,2,3,4,6,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,1,2,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,7,6,2,4,1] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,2,7,8,4,3,5] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,7,1,5,4,6,3,2] => [1,8,2,7,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,3,5,6,8,1,7] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,5,6,4,3,1,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,6,2,4,1,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,5,3,4,1,6] => [1,8,6,4,5,3,7,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,6,2,1,7,8,3] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,6,2,1,7,3,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[2,5,1,8,3,7,4,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,7,4,5,6,8,1,3] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,3,4,6,8,1,7,5] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,2,1,8,5,6,4,3] => [1,7,4,8,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,5,1,4,6,3,8,7] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[2,1,4,7,3,6,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[8,1,4,2,6,5,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,3,4,5,6,2] => [1,8,2,7,6,5,4,3] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,5,4,6,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,5,3,8,1,6,7,4] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[1,6,4,2,5,7,8,3] => [1,2,6,7,8,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => 1

[4,3,1,5,2,7,8,6] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[8,3,5,1,4,6,2,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,2,7,4,5,8,3] => [1,2,6,5,4,7,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,2,7,1,5,4,3] => [1,6,5,2,8,3,4,7] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[3,1,5,7,6,4,2,8] => [1,3,5,6,4,7,2,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,4,2,5,7,1,8] => [1,3,4,2,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[5,8,4,7,1,3,6,2] => [1,5,2,8,3,4,7,6] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,8,1,2,5,3,7,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,5,2,3,7,8,6,4] => [1,2,5,7,6,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,4,1,3,7,8,6,5] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[5,4,6,1,3,2,7,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,2,6,7,8,4,5,3] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,2,3,1,8,4,6,5] => [1,7,6,4,2,3,5,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,3,4,5,1,8,6,2] => [1,7,6,8,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,2,4,5,3,8,1,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[6,8,1,5,2,3,7,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[1,8,5,4,6,2,7,3] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,8,2,4,7,3,5,1] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[2,4,8,5,6,7,3,1] => [1,2,4,5,6,7,3,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,5,4,7,6,1,3,8] => [1,2,5,6,3,4,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[5,6,2,3,1,7,8,4] => [1,5,2,6,7,8,4,3] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,7,2,3,4,1,6,8] => [1,5,4,3,2,7,6,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[8,5,2,3,1,6,4,7] => [1,8,7,4,3,2,5,6] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,4,5,6,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,1,3,2,6,7,8,4] => [1,5,6,7,8,4,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,2,1,3,5,8,4,6] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,7,3,4,5,1,8] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[5,2,1,3,6,7,8,4] => [1,5,6,7,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,2,6,4,5,1,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,3,6,4,7,5] => [1,8,5,6,4,3,2,7] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,5,8,6,1,4,3] => [1,7,4,8,3,5,6,2] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,3,1,4,6,7,8,2] => [1,5,6,7,8,2,3,4] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[5,6,1,3,4,7,2,8] => [1,5,4,3,2,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[4,2,6,1,5,7,3,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,5,7,3,1,4,2,8] => [1,6,4,3,7,2,5,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,4,7,2,8,3,1] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,5,6,1,4,8,2,3] => [1,7,2,5,4,3,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,1,2,3,6,7,5] => [1,8,5,3,2,4,6,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,3,5,8,1,6,7] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,2,6,8,7,1,4] => [1,5,8,4,6,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,1,5,4,7,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,5,2,4,6,3,8] => [1,7,3,5,4,2,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,5,1,7,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,1,3,6,5,2,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,4,6,8,5,1,7] => [1,2,3,4,6,5,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,4,1,2,5,3,7,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,4,5,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[2,8,7,5,4,1,6,3] => [1,2,8,3,7,6,4,5] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,4,1,2,3,7,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,3,5,6,1,4,7] => [1,2,8,7,4,5,6,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,8,5,6,1,4,7] => [1,3,8,7,4,5,6,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,6,2,7,3] => [1,8,3,4,2,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,7,3,5,1,4] => [1,8,4,7,2,6,5,3] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,6,3,5,1,7] => [1,2,8,7,3,4,6,5] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,2,6,3,4,7,1] => [1,8,2,5,3,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,5,2,6,3,8,1] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,6,2,4,5,3,1] => [1,8,2,7,3,6,5,4] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,1,4,6,2] => [1,8,2,7,6,4,5,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,2,4,6,1] => [1,8,2,7,6,4,5,3] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,3,8,7,4,6,2] => [1,2,5,7,6,4,8,3] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,5,1,6,4,3,2] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,6,3,7,5,2,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,1,5,4,6,7,3,2] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,1,3,7,6,4] => [1,2,8,4,3,5,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,3,5,4,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[1,8,7,3,4,6,5,2] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,7,4,8,3,6,1] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,7,1,2,8,5,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[3,8,6,2,7,5,4,1] => [1,3,6,5,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,8,5,2,3,7,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[7,1,4,2,6,8,3,5] => [1,7,3,4,2,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,8,5,7,4,3,2] => [1,6,4,5,7,3,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,6,7,1,4,8,3] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,6,2,4,8,3,1,5] => [1,7,2,6,3,4,5,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,7,6,1,3,2,4] => [1,8,4,6,3,7,2,5] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,6,7,2,4,3,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,7,4,5,1,3,2,6] => [1,8,6,3,4,5,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,7,5,3,6,8,1] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,7,2,4,6,3,5] => [1,8,5,4,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,4,7,8,6,3,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,6,2,3,7,5,8,4] => [1,2,6,5,7,8,4,3] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,5,4,6,7,8,2] => [1,3,5,6,7,8,2,4] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,4,2,1,3,8,5,6] => [1,7,5,3,2,4,6,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,1,5,4,7,6] => [1,2,8,6,4,3,5,7] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,2,4,3,7,5] => [1,2,8,5,4,3,6,7] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,6,5,2,3,7,8] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,1,5,2,3,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,6,7,3,2,4,8] => [1,5,3,6,2,4,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,3,2,4,7,1,6,5] => [1,8,5,7,6,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,5,3,4,2,6] => [1,2,8,6,4,5,3,7] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,7,4,1,5,8,3,6] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,8,4,5,6,1,3,2] => [1,7,3,4,5,6,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,7,6,3,4,5,1] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,3,7,8,5,6,1] => [1,2,4,7,6,5,8,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,3,8,6,7,4,1] => [1,2,5,6,7,4,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,5,3,7,2,4] => [1,8,4,5,3,2,6,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,8,6,3,1,5,4] => [1,7,5,3,8,4,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,5,2,8,1,6,3] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,6,7,4,5,2,8] => [1,3,6,5,4,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,5,2,4,3,8,7,1] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[7,2,4,6,3,8,5,1] => [1,7,5,3,4,6,8,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,2,8,7,4,6,5,1] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[5,2,1,7,6,4,3,8] => [1,5,6,4,7,3,2,8] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,1,4,3,5,2,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,2,5,3,6,7] => [1,8,7,6,3,4,2,5] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,1,5,3,6,7] => [1,2,8,7,6,3,4,5] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,4,1,3,5,2,6,7] => [1,8,7,6,2,4,3,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,2,5,1,8,7,6,3] => [1,4,2,3,5,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,3,4,2,6,7,1,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,6,5,7,4,3,1] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,6,5,7,4,1,3] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,5,3,8,1,4,7,6] => [1,2,5,3,4,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,2,4,3,5,7,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,2,5,6,4,1] => [1,8,2,7,4,3,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,1,3,2,5,6,7] => [1,8,7,6,5,2,4,3] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,6,4,3,7,2] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,8,4,5,1,7,3] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[2,3,5,1,7,6,4,8] => [1,2,3,5,7,4,6,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,5,2,3,1,6,4,8] => [1,7,4,3,2,5,6,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,5,3,6,1,4,7] => [1,8,7,4,3,5,6,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,1,2,6,5,3,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,7,8,5,1,4,6,2] => [1,3,8,2,7,6,4,5] => ([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,6,4,2,1,7] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,5,4,2,6,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,7,6,3,1,8,2] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,3,8,5,6,7,2,4] => [1,2,3,8,4,5,6,7] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,5,4,7,3,1,8,6] => [1,2,5,3,4,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,5,4,7,3,1,2,6] => [1,8,6,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,7,2,5,6,1] => [1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,5,1,7,3,6] => [1,8,6,7,3,4,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,4,3,7,1,5,6,2] => [1,8,2,4,7,6,5,3] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,4,7,2,6,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,3,7,6,4,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,7,6,2,4,5,1] => [1,8,2,3,7,5,4,6] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,6,3,1,4,5] => [1,8,5,3,7,4,6,2] => ([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,7,3,6,5,1] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,7,3,6,5,2] => [1,8,2,3,4,7,5,6] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,4,7,5,6,3] => [1,2,8,3,4,5,7,6] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,5,6,4,8,2,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[3,4,8,5,6,1,2,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,4,8,5,6,2,1,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,4,3,1,5,8,6,7] => [1,2,4,3,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,3,5,4,6,1,2,7] => [1,8,7,2,3,5,6,4] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,7,4,5,2,6,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,4,2,6,5,3,8,7] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,2,6,3,4,1,5,7] => [1,8,7,5,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,2,4,8,1,6,5] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,2,4,5,7,1,6] => [1,8,6,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,6,5,4,1,3,7,2] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,5,1,4,3,8,7,2] => [1,6,8,2,5,3,4,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[6,3,2,4,5,8,1,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,3,5,2,8,1,4,6] => [1,7,4,2,3,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,2,6,7,5,3,4,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,2,1,4,5,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,6,7,3,4,2,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,6,7,8,2,4,5,3] => [1,2,6,4,8,3,7,5] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => 1

[8,2,7,4,5,3,6,1] => [1,8,2,3,7,6,4,5] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,2,7,4,5,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,5,2,1,6,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,7,3,2,4,6,1] => [1,5,2,8,3,7,6,4] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[3,4,2,1,6,8,5,7] => [1,3,2,4,5,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[4,6,8,1,5,2,7,3] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[8,6,5,2,4,3,7,1] => [1,8,2,6,3,5,4,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,3,2,6,4,7,1] => [1,8,2,5,6,4,3,7] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,5,6,4,1,3,8,7] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,3,7,5,1,6,2,4] => [1,8,4,5,2,3,7,6] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,7,1,5,6,8,4,3] => [1,2,7,4,5,6,8,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,4,6,7,3,5,1] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,7,6,2,5,4,3] => [1,8,3,7,4,6,5,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,4,7,5,2,6,3] => [1,8,3,4,7,6,2,5] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,4,7,8,6,3,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[1,8,5,6,4,2,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,6,2,4,5,3] => [1,2,8,3,7,5,4,6] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,3,4,1,7,6,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,6,7,1,4,5,8,3] => [1,2,6,5,4,3,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[8,7,1,6,3,5,2,4] => [1,8,4,6,5,3,2,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,2,8,3,4,5,1,7] => [1,6,5,4,3,8,7,2] => ([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,4,6,8,2,1,5] => [1,7,2,3,4,6,5,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,2,7,5,4,1] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,3,6,7,1,8,5,4] => [1,2,3,6,8,4,7,5] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,5,1,2,4,3,6,7] => [1,8,7,6,3,2,5,4] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,2,5,3,6,1,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,4,6,3,7,8,2] => [1,5,3,4,6,7,8,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,3,6,7,2,4] => [1,8,4,3,5,6,7,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,4,6,7,1,3] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,8,4,2,1,6,3,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,7,2,6,4,5,3,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,3,7,1,6,2,5,8] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[6,3,1,5,7,2,4,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,5,2,1,3,7,6,8] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,1,6,5,4,2,8,3] => [1,7,8,3,6,2,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,6,8,1,7,3,5,2] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[2,8,3,1,6,7,4,5] => [1,2,8,5,6,7,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,3,4,5,2,7,8] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,2,5,1,3,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,5,3,6,4,2,1,8] => [1,7,2,5,4,6,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,6,7,5,2,4,8] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[5,8,4,3,2,6,1,7] => [1,5,2,8,7,3,4,6] => ([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,2,3,1,6,8,4,5] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,7,5,6,1,4,8] => [1,3,7,4,5,6,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,3,5,4,1,6,2] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,5,4,1,7,3,2,6] => [1,8,6,3,4,2,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,3,7,6,8,4,5,2] => [1,2,3,7,5,8,4,6] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[1,8,7,6,3,5,4,2] => [1,2,8,3,7,4,6,5] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,5,7,6,4,3,2] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,4,1,8,5,3,6] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,5,3,1,2,6,8,7] => [1,4,2,5,3,6,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[4,5,1,3,8,2,6,7] => [1,4,3,2,5,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[2,4,3,6,7,1,5,8] => [1,2,4,6,3,5,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[7,3,5,2,1,6,4,8] => [1,7,4,2,3,5,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,5,4,6,1,3,2] => [1,8,2,7,3,5,6,4] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,2,6,7,5,4,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,2,8,1,7,5,4,6] => [1,3,8,6,5,7,4,2] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,5,6,8,3,2] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,3,7,8,9,2,4,5,6] => [1,2,3,7,4,8,5,9,6] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => 1

[1,7,4,5,6,8,3,2] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[7,2,4,5,6,8,3,1] => [1,7,3,4,5,6,8,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,7,4,5,6,8,3,1] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,4,3,5,6,8,2,7] => [1,2,4,5,6,8,7,3] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,8,4,6,1,3,5,2] => [1,7,5,2,8,3,4,6] => ([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[7,1,4,5,8,3,6,2] => [1,7,6,3,4,5,8,2] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,2,5,6,8,1,3] => [1,4,5,6,8,3,2,7] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,8,2,5,6,7,1,3] => [1,4,5,6,7,2,8,3] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,7,3,6,1,4,2,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,1,5,6,3,8,7,4] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,5,8,3,4,6,2,7] => [1,2,5,4,3,8,7,6] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[1,4,2,3,7,8,6,5] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,6,3,2,5,8,7] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[2,8,1,7,5,4,6,3] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,4,5,6,3,2,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,6,8,1,5,4,7,2] => [1,3,8,2,6,4,5,7] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,7,2,5,6,4,3,8] => [1,2,7,3,4,5,6,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[1,6,8,5,4,3,7,2] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[1,6,8,5,3,2,7,4] => [1,2,6,3,8,4,5,7] => ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[7,3,5,4,1,6,2,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,2,4,6,5,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,3,7,1,5,8,2,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,6,3,7,5,4,2] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,5,4,2,1,7] => [1,8,7,2,3,6,4,5] => ([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,1,3,5,7,2,8,4] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[2,8,1,5,6,4,3,7] => [1,2,8,7,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,2,1,3,6,8,5,4] => [1,7,5,6,8,4,3,2] => ([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,7,3,5,6,1] => [1,2,8,3,4,7,6,5] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,1,7,2,5,8,3,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,8,5,3,6,7,4,1] => [1,2,8,3,5,6,7,4] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,5,2,6,7,4,1] => [1,8,2,3,5,6,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,5,4,8,7,2] => [1,6,8,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,5,1,6,4,3,2,7] => [1,8,7,2,5,4,6,3] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,2,5,6,4,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,2,7,1,5,8,3,6] => [1,4,2,3,7,5,6,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,4,6,3,5,1,7,8] => [1,2,4,3,6,5,7,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[1,4,5,3,7,2,6,8] => [1,2,4,3,5,7,6,8] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[7,4,2,3,6,5,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,5,7,2,8,4,6,3] => [1,2,5,8,3,7,6,4] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,4,5,6,2,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,1,5,6,4,8,3,7] => [1,2,3,5,4,6,8,7] => ([(4,7),(5,6)],8) => [2,2,1,1,1,1] => 1

[8,2,4,5,3,1,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,5,2,6,4,7] => [1,2,8,7,4,5,3,6] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,3,5,7,4,2,6] => [1,2,8,6,4,5,7,3] => ([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,3,1,6,5,2,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,2,1,3,7,4,6,5] => [1,8,5,7,6,4,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,1,3,7,5,6] => [1,8,6,7,5,3,4,2] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,7,5,2,4,6,3] => [1,8,3,7,6,4,5,2] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,3,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,7,5,6,4,1,3,2] => [1,8,2,7,3,5,4,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,2,3,6,5,1] => [1,8,2,7,5,3,4,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,2,4,5,3,1,6,8] => [1,7,6,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,2,7,3,5,4,6] => [1,8,6,5,3,2,4,7] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,6,4,7,5,1] => [1,8,2,3,4,6,7,5] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,2,1,6,4,7,3,8] => [1,5,4,6,7,3,2,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,1,3,5,4,2,8,6] => [1,7,8,6,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,3,2,4,8,7,1,5] => [1,6,7,2,3,4,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[5,1,6,8,7,2,4,3] => [1,5,7,4,8,3,6,2] => ([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,5,7,6,1,2,8,3] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[7,4,8,6,3,5,1,2] => [1,7,2,4,6,5,3,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,3,4,7,8,6,1,5] => [1,2,3,4,7,5,8,6] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,1,5,2,7,4,3,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,2,8,5,3,6] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[3,1,6,8,7,5,4,2] => [1,3,6,5,7,4,8,2] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,1,8,7,5,6,4,2] => [1,3,8,2,4,7,5,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,1,6,4,5,3] => [1,8,3,2,7,5,6,4] => ([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,1,6,4,3,5,2] => [1,8,2,7,5,4,6,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[3,8,5,2,6,7,4,1] => [1,3,5,6,7,4,2,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,2,6,3,1,8] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,3,4,5,1,7,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,3,5,4,1,7,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,4,5,1,3,6,2] => [1,8,2,7,6,3,4,5] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,5,3,1,4,7] => [1,8,7,4,5,3,2,6] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,3,5,1,6,4,2] => [1,8,2,7,4,5,3,6] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,4,3,6,1,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[7,4,5,3,8,1,6,2] => [1,7,6,2,4,3,5,8] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,4,8,5,3,2,7,6] => [1,2,4,5,3,8,6,7] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[2,7,1,5,6,4,8,3] => [1,2,7,8,3,4,5,6] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[3,7,2,8,1,5,6,4] => [1,3,2,7,6,5,4,8] => ([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => 2

[3,7,6,5,4,1,8,2] => [1,3,6,2,7,8,4,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[7,4,3,5,1,6,2,8] => [1,7,2,4,5,3,6,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,3,4,2,5,7] => [1,8,7,5,4,3,6,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,5,6,7,3,2,4,8] => [1,2,5,3,6,4,7,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,2,4,3,1,7,5,6] => [1,8,6,7,5,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,1,6,4,7,3,5] => [1,8,5,4,6,7,3,2] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,4,3,7,6,2,1] => [1,5,7,2,8,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => 1

[2,7,6,1,5,3,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[6,2,4,5,7,1,8,3] => [1,6,2,3,4,5,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => 1

[4,6,8,2,3,1,7,5] => [1,4,2,6,3,8,5,7] => ([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => 1

[1,3,2,7,4,6,8,5] => [1,2,3,4,7,8,5,6] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,4,5,1,6,8,2,3] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,1,5,3,7,8,4] => [1,6,7,8,4,5,3,2] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,3,5,6,1,4,2,8] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[2,8,5,6,4,1,7,3] => [1,2,8,3,5,4,6,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,1,8,6,7,2,3,4] => [1,5,7,3,8,4,6,2] => ([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,1,6,5,2,3,8,7] => [1,4,5,2,3,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[1,4,7,5,3,2,8,6] => [1,2,4,5,3,7,8,6] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

[8,1,3,6,4,5,2,7] => [1,8,7,2,3,4,6,5] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,5,8,2,3,4,6] => [1,7,4,8,6,3,5,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,4,1,2,5,6,3,8] => [1,7,3,2,4,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,3,6,5,7,4,2,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,5,7,4,3,1] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,3,7,5,4,1] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,6,5,8,7,3,4] => [1,2,3,6,7,4,5,8] => ([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => 1

[7,3,5,6,1,8,2,4] => [1,7,2,3,5,4,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,3,2,7,4,5,1] => [1,8,2,6,4,3,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[4,7,5,2,3,6,8,1] => [1,4,2,7,8,3,5,6] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[6,8,2,5,7,3,1,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[4,8,5,2,3,6,1,7] => [1,4,2,8,7,3,5,6] => ([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[5,8,6,3,4,7,2,1] => [1,5,4,3,6,7,2,8] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,5,2,3,7,4,6,1] => [1,8,2,5,7,6,4,3] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,3,1,5,4,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[8,3,1,4,7,5,2,6] => [1,8,6,5,7,2,3,4] => ([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,6,3,1,5,4,7] => [1,8,7,4,3,6,5,2] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,1,6,5,7,4] => [1,8,4,2,3,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,3,6,1,7,4,5,2] => [1,8,2,3,6,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,7,5,4,6,2,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,1,6,4,7,5,3,2] => [1,8,2,3,6,5,7,4] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,3,8,5,4,6,7] => [1,2,3,4,8,7,6,5] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => 1

[7,1,2,5,3,8,4,6] => [1,7,4,5,3,2,6,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[4,5,7,6,2,1,3,8] => [1,4,6,2,5,3,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[8,1,5,3,4,6,2,7] => [1,8,7,2,3,5,4,6] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,3,5,4,6,1] => [1,8,2,7,6,4,3,5] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,7,2,6,1,4,3,5] => [1,8,5,2,7,3,4,6] => ([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,4,6,7,1,5,3] => [1,2,8,3,4,6,5,7] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,7,6,2,5,3,8,4] => [1,2,7,8,4,3,6,5] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => 1

[4,7,2,3,5,1,6,8] => [1,4,3,2,7,6,5,8] => ([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => 1

[8,6,2,4,3,5,1,7] => [1,8,7,2,6,5,3,4] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,2,4,7,3,5,6] => [1,8,6,3,2,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[6,8,1,5,7,3,2,4] => [1,6,3,2,8,4,5,7] => ([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,4,7,5,2,3,1,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,7,4,5,3,1,6] => [1,8,6,3,7,2,4,5] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[2,1,7,8,9,3,4,5,6] => [1,2,3,7,4,8,5,9,6] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => 1

[7,4,1,3,6,8,2,5] => [1,7,2,4,3,5,6,8] => ([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[3,1,8,4,5,6,2,7] => [1,3,8,7,2,4,5,6] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,1,4,2,8,6,3,5] => [1,7,3,4,2,5,8,6] => ([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[2,8,5,7,6,3,4,1] => [1,2,8,3,5,6,4,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,7,4,6,2,5,3,1] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,4,6,3,1,7,5] => [1,8,5,3,4,6,2,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[7,8,1,4,5,6,2,3] => [1,7,2,8,3,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => 1

[8,3,1,2,5,4,7,6] => [1,8,6,4,2,3,5,7] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,3,7,4,2,6] => [1,8,6,4,3,5,7,2] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,2,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => ([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => 1

[8,7,4,6,5,3,1,2] => [1,8,2,7,3,4,6,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,1,5,7,6,4,3,2] => [1,8,2,3,5,6,4,7] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,6,3,7,8,4,2,5] => [1,2,6,4,7,3,5,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => 1

[5,2,1,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,4,3,5,8,2,6,7] => [1,2,4,5,8,7,6,3] => ([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,1,4,3,5,8,2,7] => [1,6,8,7,2,3,4,5] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => 1

[2,6,3,1,4,7,8,5] => [1,2,6,7,8,5,4,3] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[8,6,4,5,1,3,7,2] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,2,3,5,4,1,7,6] => [1,8,6,2,3,4,5,7] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[8,6,2,5,7,3,4,1] => [1,8,2,6,3,4,5,7] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => 1

[1,8,5,4,2,6,3,7] => [1,2,8,7,3,5,4,6] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[5,3,1,7,6,8,2,4] => [1,5,6,8,4,7,2,3] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[1,8,3,6,2,4,7,5] => [1,2,8,5,3,4,6,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,7,5,6,4,2,3] => [1,2,8,3,7,4,5,6] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[1,8,6,3,7,4,5,2] => [1,2,8,3,6,4,5,7] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => 1

[6,2,8,3,7,4,5,1] => [1,6,4,3,8,2,5,7] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => 1

[8,3,1,4,6,7,2,5] => [1,8,5,6,7,2,3,4] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => 1

[4,3,6,2,5,7,1,8] => [1,4,2,3,6,7,5,8] => ([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => 1

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Description

The number of lower covers of a partition in dominance order.
According to [1], Corollary 2.4, the maximum number of elements one element (apparently for $n\neq 2$) can cover is
$$ \frac{1}{2}(\sqrt{1+8n}-3) $$
and an element which covers this number of elements is given by $(c+i,c,c-1,\dots,3,2,1)$, where $1\leq i\leq c+2$.

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.

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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.

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to partition of connected components

Description

Return the partition of the sizes of the connected components of the graph.