Identifier
-
Mp00069:
Permutations
—complement⟶
Permutations
Mp00223: Permutations —runsort⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St000298: Posets ⟶ ℤ
Values
[1] => [1] => [1] => ([],1) => 1
[1,2] => [2,1] => [1,2] => ([(0,1)],2) => 1
[2,1] => [1,2] => [1,2] => ([(0,1)],2) => 1
[1,2,3] => [3,2,1] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,3,2] => [3,1,2] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[2,1,3] => [2,3,1] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[2,3,1] => [2,1,3] => [1,3,2] => ([(0,1),(0,2)],3) => 2
[3,1,2] => [1,3,2] => [1,3,2] => ([(0,1),(0,2)],3) => 2
[3,2,1] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,2,3,4] => [4,3,2,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,4,3] => [4,3,1,2] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,3,2,4] => [4,2,3,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,3,4,2] => [4,2,1,3] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[1,4,2,3] => [4,1,3,2] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[1,4,3,2] => [4,1,2,3] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[2,1,3,4] => [3,4,2,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[2,1,4,3] => [3,4,1,2] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[2,3,1,4] => [3,2,4,1] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[2,3,4,1] => [3,2,1,4] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[2,4,1,3] => [3,1,4,2] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[2,4,3,1] => [3,1,2,4] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[3,1,2,4] => [2,4,3,1] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[3,1,4,2] => [2,4,1,3] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[3,2,1,4] => [2,3,4,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[3,2,4,1] => [2,3,1,4] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[3,4,1,2] => [2,1,4,3] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[3,4,2,1] => [2,1,3,4] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 2
[4,1,2,3] => [1,4,3,2] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[4,1,3,2] => [1,4,2,3] => [1,4,2,3] => ([(0,2),(0,3),(3,1)],4) => 2
[4,2,1,3] => [1,3,4,2] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 2
[4,2,3,1] => [1,3,2,4] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[4,3,1,2] => [1,2,4,3] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,3,4,5] => [5,4,3,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,5,4] => [5,4,3,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,4,3,5] => [5,4,2,3,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,4,5,3] => [5,4,2,1,3] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,2,5,3,4] => [5,4,1,3,2] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,2,5,4,3] => [5,4,1,2,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,3,2,4,5] => [5,3,4,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,3,2,5,4] => [5,3,4,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,3,4,2,5] => [5,3,2,4,1] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,3,4,5,2] => [5,3,2,1,4] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,3,5,2,4] => [5,3,1,4,2] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,3,5,4,2] => [5,3,1,2,4] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,4,2,3,5] => [5,2,4,3,1] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,4,2,5,3] => [5,2,4,1,3] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,4,3,2,5] => [5,2,3,4,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,4,3,5,2] => [5,2,3,1,4] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,4,5,2,3] => [5,2,1,4,3] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,4,5,3,2] => [5,2,1,3,4] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,5,2,3,4] => [5,1,4,3,2] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,5,2,4,3] => [5,1,4,2,3] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,5,3,2,4] => [5,1,3,4,2] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,5,3,4,2] => [5,1,3,2,4] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,5,4,2,3] => [5,1,2,4,3] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,5,4,3,2] => [5,1,2,3,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,1,3,4,5] => [4,5,3,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,1,3,5,4] => [4,5,3,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,1,4,3,5] => [4,5,2,3,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,1,4,5,3] => [4,5,2,1,3] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[2,1,5,3,4] => [4,5,1,3,2] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[2,1,5,4,3] => [4,5,1,2,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,3,1,4,5] => [4,3,5,2,1] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[2,3,1,5,4] => [4,3,5,1,2] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[2,3,4,1,5] => [4,3,2,5,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[2,3,4,5,1] => [4,3,2,1,5] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,3,5,1,4] => [4,3,1,5,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,3,5,4,1] => [4,3,1,2,5] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[2,4,1,3,5] => [4,2,5,3,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[2,4,1,5,3] => [4,2,5,1,3] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[2,4,3,1,5] => [4,2,3,5,1] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[2,4,3,5,1] => [4,2,3,1,5] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,4,5,1,3] => [4,2,1,5,3] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,4,5,3,1] => [4,2,1,3,5] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[2,5,1,3,4] => [4,1,5,3,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,5,1,4,3] => [4,1,5,2,3] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[2,5,3,1,4] => [4,1,3,5,2] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[2,5,3,4,1] => [4,1,3,2,5] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[2,5,4,1,3] => [4,1,2,5,3] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[2,5,4,3,1] => [4,1,2,3,5] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[3,1,2,4,5] => [3,5,4,2,1] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[3,1,2,5,4] => [3,5,4,1,2] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[3,1,4,2,5] => [3,5,2,4,1] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[3,1,4,5,2] => [3,5,2,1,4] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[3,1,5,2,4] => [3,5,1,4,2] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[3,1,5,4,2] => [3,5,1,2,4] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[3,2,1,4,5] => [3,4,5,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,2,1,5,4] => [3,4,5,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,2,4,1,5] => [3,4,2,5,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[3,2,4,5,1] => [3,4,2,1,5] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[3,2,5,1,4] => [3,4,1,5,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[3,2,5,4,1] => [3,4,1,2,5] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[3,4,1,2,5] => [3,2,5,4,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[3,4,1,5,2] => [3,2,5,1,4] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[3,4,2,1,5] => [3,2,4,5,1] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[3,4,2,5,1] => [3,2,4,1,5] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
[3,4,5,1,2] => [3,2,1,5,4] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[3,4,5,2,1] => [3,2,1,4,5] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[3,5,1,2,4] => [3,1,5,4,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[3,5,1,4,2] => [3,1,5,2,4] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
>>> Load all 2453 entries. <<<[3,5,2,1,4] => [3,1,4,5,2] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[3,5,2,4,1] => [3,1,4,2,5] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[3,5,4,1,2] => [3,1,2,5,4] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[3,5,4,2,1] => [3,1,2,4,5] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[4,1,2,3,5] => [2,5,4,3,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[4,1,2,5,3] => [2,5,4,1,3] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[4,1,3,2,5] => [2,5,3,4,1] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[4,1,3,5,2] => [2,5,3,1,4] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[4,1,5,2,3] => [2,5,1,4,3] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[4,1,5,3,2] => [2,5,1,3,4] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[4,2,1,3,5] => [2,4,5,3,1] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[4,2,1,5,3] => [2,4,5,1,3] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[4,2,3,1,5] => [2,4,3,5,1] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[4,2,3,5,1] => [2,4,3,1,5] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
[4,2,5,1,3] => [2,4,1,5,3] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
[4,2,5,3,1] => [2,4,1,3,5] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[4,3,1,2,5] => [2,3,5,4,1] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[4,3,1,5,2] => [2,3,5,1,4] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[4,3,2,1,5] => [2,3,4,5,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,3,2,5,1] => [2,3,4,1,5] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[4,3,5,1,2] => [2,3,1,5,4] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[4,3,5,2,1] => [2,3,1,4,5] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[4,5,1,2,3] => [2,1,5,4,3] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[4,5,1,3,2] => [2,1,5,3,4] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[4,5,2,1,3] => [2,1,4,5,3] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[4,5,2,3,1] => [2,1,4,3,5] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[4,5,3,1,2] => [2,1,3,5,4] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[4,5,3,2,1] => [2,1,3,4,5] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,1,2,3,4] => [1,5,4,3,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,1,2,4,3] => [1,5,4,2,3] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,1,3,2,4] => [1,5,3,4,2] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,1,3,4,2] => [1,5,3,2,4] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
[5,1,4,2,3] => [1,5,2,4,3] => [1,5,2,4,3] => ([(0,3),(0,4),(4,1),(4,2)],5) => 2
[5,1,4,3,2] => [1,5,2,3,4] => [1,5,2,3,4] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,2,1,3,4] => [1,4,5,3,2] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[5,2,1,4,3] => [1,4,5,2,3] => [1,4,5,2,3] => ([(0,3),(0,4),(3,2),(4,1)],5) => 2
[5,2,3,1,4] => [1,4,3,5,2] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[5,2,3,4,1] => [1,4,3,2,5] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[5,2,4,1,3] => [1,4,2,5,3] => [1,4,2,5,3] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[5,2,4,3,1] => [1,4,2,3,5] => [1,4,2,3,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[5,3,1,2,4] => [1,3,5,4,2] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[5,3,1,4,2] => [1,3,5,2,4] => [1,3,5,2,4] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[5,3,2,1,4] => [1,3,4,5,2] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 2
[5,3,2,4,1] => [1,3,4,2,5] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[5,3,4,1,2] => [1,3,2,5,4] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[5,3,4,2,1] => [1,3,2,4,5] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[5,4,1,2,3] => [1,2,5,4,3] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[5,4,1,3,2] => [1,2,5,3,4] => [1,2,5,3,4] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[5,4,2,1,3] => [1,2,4,5,3] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[5,4,2,3,1] => [1,2,4,3,5] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[5,4,3,1,2] => [1,2,3,5,4] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,6,5] => [6,5,4,3,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,5,4,6] => [6,5,4,2,3,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,5,6,4] => [6,5,4,2,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,2,3,6,4,5] => [6,5,4,1,3,2] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,2,3,6,5,4] => [6,5,4,1,2,3] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,4,3,6,5] => [6,5,3,4,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,4,5,3,6] => [6,5,3,2,4,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,4,5,6,3] => [6,5,3,2,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,4,6,3,5] => [6,5,3,1,4,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,4,6,5,3] => [6,5,3,1,2,4] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,5,3,4,6] => [6,5,2,4,3,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,5,3,6,4] => [6,5,2,4,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,2,5,4,3,6] => [6,5,2,3,4,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,5,4,6,3] => [6,5,2,3,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,5,6,3,4] => [6,5,2,1,4,3] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,5,6,4,3] => [6,5,2,1,3,4] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,6,3,4,5] => [6,5,1,4,3,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,6,3,5,4] => [6,5,1,4,2,3] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,6,4,3,5] => [6,5,1,3,4,2] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,6,4,5,3] => [6,5,1,3,2,4] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,2,6,5,3,4] => [6,5,1,2,4,3] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,6,5,4,3] => [6,5,1,2,3,4] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,3,2,4,5,6] => [6,4,5,3,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,3,2,4,6,5] => [6,4,5,3,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,3,2,5,6,4] => [6,4,5,2,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,3,2,6,4,5] => [6,4,5,1,3,2] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,3,2,6,5,4] => [6,4,5,1,2,3] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,3,4,2,5,6] => [6,4,3,5,2,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,3,4,2,6,5] => [6,4,3,5,1,2] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,3,4,5,2,6] => [6,4,3,2,5,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,3,4,5,6,2] => [6,4,3,2,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,4,6,2,5] => [6,4,3,1,5,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,4,6,5,2] => [6,4,3,1,2,5] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,3,5,2,6,4] => [6,4,2,5,1,3] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,3,5,4,2,6] => [6,4,2,3,5,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,3,5,4,6,2] => [6,4,2,3,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,5,6,2,4] => [6,4,2,1,5,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,5,6,4,2] => [6,4,2,1,3,5] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,3,6,2,4,5] => [6,4,1,5,3,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,6,2,5,4] => [6,4,1,5,2,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,3,6,4,2,5] => [6,4,1,3,5,2] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,3,6,4,5,2] => [6,4,1,3,2,5] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,3,6,5,2,4] => [6,4,1,2,5,3] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,3,6,5,4,2] => [6,4,1,2,3,5] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,4,2,3,5,6] => [6,3,5,4,2,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,4,2,3,6,5] => [6,3,5,4,1,2] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,4,2,5,6,3] => [6,3,5,2,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,4,2,6,3,5] => [6,3,5,1,4,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,4,2,6,5,3] => [6,3,5,1,2,4] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,4,3,2,5,6] => [6,3,4,5,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,4,3,2,6,5] => [6,3,4,5,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,4,3,5,2,6] => [6,3,4,2,5,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,4,3,5,6,2] => [6,3,4,2,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,4,3,6,2,5] => [6,3,4,1,5,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,4,3,6,5,2] => [6,3,4,1,2,5] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,4,5,2,6,3] => [6,3,2,5,1,4] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,4,5,3,2,6] => [6,3,2,4,5,1] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,4,5,3,6,2] => [6,3,2,4,1,5] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,4,5,6,2,3] => [6,3,2,1,5,4] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,4,5,6,3,2] => [6,3,2,1,4,5] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,4,6,2,3,5] => [6,3,1,5,4,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,4,6,2,5,3] => [6,3,1,5,2,4] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,4,6,3,2,5] => [6,3,1,4,5,2] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,4,6,3,5,2] => [6,3,1,4,2,5] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,4,6,5,2,3] => [6,3,1,2,5,4] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,4,6,5,3,2] => [6,3,1,2,4,5] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,5,2,3,4,6] => [6,2,5,4,3,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,5,2,3,6,4] => [6,2,5,4,1,3] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,5,2,4,3,6] => [6,2,5,3,4,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,5,2,4,6,3] => [6,2,5,3,1,4] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,5,2,6,3,4] => [6,2,5,1,4,3] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,5,2,6,4,3] => [6,2,5,1,3,4] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,5,3,2,4,6] => [6,2,4,5,3,1] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,5,3,2,6,4] => [6,2,4,5,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,5,3,4,6,2] => [6,2,4,3,1,5] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,5,3,6,2,4] => [6,2,4,1,5,3] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,5,3,6,4,2] => [6,2,4,1,3,5] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,5,4,2,3,6] => [6,2,3,5,4,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,5,4,2,6,3] => [6,2,3,5,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,5,4,3,6,2] => [6,2,3,4,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,5,4,6,2,3] => [6,2,3,1,5,4] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,5,4,6,3,2] => [6,2,3,1,4,5] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,5,6,2,3,4] => [6,2,1,5,4,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,5,6,2,4,3] => [6,2,1,5,3,4] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,5,6,3,2,4] => [6,2,1,4,5,3] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,5,6,3,4,2] => [6,2,1,4,3,5] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,5,6,4,2,3] => [6,2,1,3,5,4] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,5,6,4,3,2] => [6,2,1,3,4,5] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,2,3,4,5] => [6,1,5,4,3,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,2,3,5,4] => [6,1,5,4,2,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,2,4,3,5] => [6,1,5,3,4,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,2,4,5,3] => [6,1,5,3,2,4] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,6,2,5,3,4] => [6,1,5,2,4,3] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[1,6,2,5,4,3] => [6,1,5,2,3,4] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,3,2,4,5] => [6,1,4,5,3,2] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,6,3,2,5,4] => [6,1,4,5,2,3] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[1,6,3,4,2,5] => [6,1,4,3,5,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,6,3,4,5,2] => [6,1,4,3,2,5] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,6,3,5,2,4] => [6,1,4,2,5,3] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,6,3,5,4,2] => [6,1,4,2,3,5] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,6,4,2,3,5] => [6,1,3,5,4,2] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,6,4,2,5,3] => [6,1,3,5,2,4] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,6,4,3,2,5] => [6,1,3,4,5,2] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[1,6,4,3,5,2] => [6,1,3,4,2,5] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,6,4,5,2,3] => [6,1,3,2,5,4] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,6,4,5,3,2] => [6,1,3,2,4,5] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,6,5,2,3,4] => [6,1,2,5,4,3] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,6,5,2,4,3] => [6,1,2,5,3,4] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,6,5,3,2,4] => [6,1,2,4,5,3] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,6,5,3,4,2] => [6,1,2,4,3,5] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,6,5,4,2,3] => [6,1,2,3,5,4] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,6,5,4,3,2] => [6,1,2,3,4,5] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,3,4,5,6] => [5,6,4,3,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,3,5,4,6] => [5,6,4,2,3,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,3,5,6,4] => [5,6,4,2,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[2,1,3,6,4,5] => [5,6,4,1,3,2] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[2,1,3,6,5,4] => [5,6,4,1,2,3] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,4,3,5,6] => [5,6,3,4,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,4,5,3,6] => [5,6,3,2,4,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[2,1,4,5,6,3] => [5,6,3,2,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,4,6,3,5] => [5,6,3,1,4,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,4,6,5,3] => [5,6,3,1,2,4] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[2,1,5,3,4,6] => [5,6,2,4,3,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[2,1,5,3,6,4] => [5,6,2,4,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[2,1,5,4,3,6] => [5,6,2,3,4,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,5,4,6,3] => [5,6,2,3,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,5,6,3,4] => [5,6,2,1,4,3] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,5,6,4,3] => [5,6,2,1,3,4] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,6,3,4,5] => [5,6,1,4,3,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,6,3,5,4] => [5,6,1,4,2,3] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,6,4,3,5] => [5,6,1,3,4,2] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[2,1,6,4,5,3] => [5,6,1,3,2,4] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[2,1,6,5,3,4] => [5,6,1,2,4,3] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[2,1,6,5,4,3] => [5,6,1,2,3,4] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,3,1,4,5,6] => [5,4,6,3,2,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,3,1,4,6,5] => [5,4,6,3,1,2] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,3,1,5,4,6] => [5,4,6,2,3,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,3,1,5,6,4] => [5,4,6,2,1,3] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[2,3,1,6,5,4] => [5,4,6,1,2,3] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,3,4,1,5,6] => [5,4,3,6,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,3,4,1,6,5] => [5,4,3,6,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,3,4,5,1,6] => [5,4,3,2,6,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,3,4,5,6,1] => [5,4,3,2,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,4,6,1,5] => [5,4,3,1,6,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,4,6,5,1] => [5,4,3,1,2,6] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,3,5,1,4,6] => [5,4,2,6,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,3,5,1,6,4] => [5,4,2,6,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[2,3,5,4,1,6] => [5,4,2,3,6,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,3,5,4,6,1] => [5,4,2,3,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,5,6,1,4] => [5,4,2,1,6,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,5,6,4,1] => [5,4,2,1,3,6] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,6,1,5,4] => [5,4,1,6,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,3,6,4,1,5] => [5,4,1,3,6,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,3,6,4,5,1] => [5,4,1,3,2,6] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[2,3,6,5,1,4] => [5,4,1,2,6,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,3,6,5,4,1] => [5,4,1,2,3,6] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,4,1,3,5,6] => [5,3,6,4,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,4,1,3,6,5] => [5,3,6,4,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,4,1,5,3,6] => [5,3,6,2,4,1] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[2,4,1,5,6,3] => [5,3,6,2,1,4] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,4,1,6,5,3] => [5,3,6,1,2,4] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[2,4,3,1,5,6] => [5,3,4,6,2,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,4,3,1,6,5] => [5,3,4,6,1,2] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,4,3,5,1,6] => [5,3,4,2,6,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,4,3,5,6,1] => [5,3,4,2,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,4,3,6,1,5] => [5,3,4,1,6,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,4,3,6,5,1] => [5,3,4,1,2,6] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,4,5,1,3,6] => [5,3,2,6,4,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,4,5,1,6,3] => [5,3,2,6,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,4,5,3,1,6] => [5,3,2,4,6,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[2,4,5,3,6,1] => [5,3,2,4,1,6] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,4,5,6,1,3] => [5,3,2,1,6,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,4,5,6,3,1] => [5,3,2,1,4,6] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,4,6,1,5,3] => [5,3,1,6,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,4,6,3,1,5] => [5,3,1,4,6,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,4,6,3,5,1] => [5,3,1,4,2,6] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,4,6,5,1,3] => [5,3,1,2,6,4] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,4,6,5,3,1] => [5,3,1,2,4,6] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[2,5,1,3,4,6] => [5,2,6,4,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,5,1,3,6,4] => [5,2,6,4,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[2,5,1,4,3,6] => [5,2,6,3,4,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,5,1,4,6,3] => [5,2,6,3,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,5,1,6,3,4] => [5,2,6,1,4,3] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,5,1,6,4,3] => [5,2,6,1,3,4] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,5,3,1,4,6] => [5,2,4,6,3,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[2,5,3,1,6,4] => [5,2,4,6,1,3] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[2,5,3,4,1,6] => [5,2,4,3,6,1] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[2,5,3,4,6,1] => [5,2,4,3,1,6] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,5,3,6,1,4] => [5,2,4,1,6,3] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,5,3,6,4,1] => [5,2,4,1,3,6] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,5,4,1,3,6] => [5,2,3,6,4,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,5,4,1,6,3] => [5,2,3,6,1,4] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,5,4,3,1,6] => [5,2,3,4,6,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,5,4,3,6,1] => [5,2,3,4,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,5,4,6,1,3] => [5,2,3,1,6,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,5,4,6,3,1] => [5,2,3,1,4,6] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,5,6,1,3,4] => [5,2,1,6,4,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,5,6,1,4,3] => [5,2,1,6,3,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,5,6,3,1,4] => [5,2,1,4,6,3] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,5,6,3,4,1] => [5,2,1,4,3,6] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,5,6,4,1,3] => [5,2,1,3,6,4] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,5,6,4,3,1] => [5,2,1,3,4,6] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[2,6,1,3,4,5] => [5,1,6,4,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,6,1,3,5,4] => [5,1,6,4,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,6,1,4,3,5] => [5,1,6,3,4,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,6,1,4,5,3] => [5,1,6,3,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,6,1,5,3,4] => [5,1,6,2,4,3] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[2,6,1,5,4,3] => [5,1,6,2,3,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[2,6,3,1,4,5] => [5,1,4,6,3,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,6,3,1,5,4] => [5,1,4,6,2,3] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,6,3,4,5,1] => [5,1,4,3,2,6] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,6,3,5,1,4] => [5,1,4,2,6,3] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,6,3,5,4,1] => [5,1,4,2,3,6] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,6,4,1,3,5] => [5,1,3,6,4,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,6,4,1,5,3] => [5,1,3,6,2,4] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[2,6,4,3,5,1] => [5,1,3,4,2,6] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,6,4,5,1,3] => [5,1,3,2,6,4] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[2,6,4,5,3,1] => [5,1,3,2,4,6] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[2,6,5,1,3,4] => [5,1,2,6,4,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,6,5,1,4,3] => [5,1,2,6,3,4] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[2,6,5,3,1,4] => [5,1,2,4,6,3] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[2,6,5,3,4,1] => [5,1,2,4,3,6] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[2,6,5,4,1,3] => [5,1,2,3,6,4] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,6,5,4,3,1] => [5,1,2,3,4,6] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[3,1,2,4,5,6] => [4,6,5,3,2,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[3,1,2,4,6,5] => [4,6,5,3,1,2] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[3,1,2,5,4,6] => [4,6,5,2,3,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[3,1,2,6,4,5] => [4,6,5,1,3,2] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[3,1,2,6,5,4] => [4,6,5,1,2,3] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[3,1,4,2,5,6] => [4,6,3,5,2,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[3,1,4,2,6,5] => [4,6,3,5,1,2] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[3,1,4,5,2,6] => [4,6,3,2,5,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[3,1,4,5,6,2] => [4,6,3,2,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,4,6,2,5] => [4,6,3,1,5,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,4,6,5,2] => [4,6,3,1,2,5] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[3,1,5,2,4,6] => [4,6,2,5,3,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[3,1,5,4,2,6] => [4,6,2,3,5,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[3,1,5,4,6,2] => [4,6,2,3,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,5,6,2,4] => [4,6,2,1,5,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,5,6,4,2] => [4,6,2,1,3,5] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[3,1,6,2,4,5] => [4,6,1,5,3,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,6,2,5,4] => [4,6,1,5,2,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[3,1,6,4,2,5] => [4,6,1,3,5,2] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[3,1,6,4,5,2] => [4,6,1,3,2,5] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[3,1,6,5,2,4] => [4,6,1,2,5,3] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[3,1,6,5,4,2] => [4,6,1,2,3,5] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[3,2,1,4,5,6] => [4,5,6,3,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,2,1,4,6,5] => [4,5,6,3,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,2,1,5,4,6] => [4,5,6,2,3,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,2,1,5,6,4] => [4,5,6,2,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[3,2,1,6,4,5] => [4,5,6,1,3,2] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[3,2,4,1,5,6] => [4,5,3,6,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,2,4,1,6,5] => [4,5,3,6,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,2,4,5,1,6] => [4,5,3,2,6,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,2,4,5,6,1] => [4,5,3,2,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,4,6,1,5] => [4,5,3,1,6,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,4,6,5,1] => [4,5,3,1,2,6] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,2,5,1,4,6] => [4,5,2,6,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,2,5,1,6,4] => [4,5,2,6,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,2,5,4,1,6] => [4,5,2,3,6,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,2,5,4,6,1] => [4,5,2,3,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,5,6,1,4] => [4,5,2,1,6,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,5,6,4,1] => [4,5,2,1,3,6] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[3,2,6,1,4,5] => [4,5,1,6,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,2,6,4,1,5] => [4,5,1,3,6,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[3,2,6,4,5,1] => [4,5,1,3,2,6] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,2,6,5,1,4] => [4,5,1,2,6,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,2,6,5,4,1] => [4,5,1,2,3,6] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,4,1,2,5,6] => [4,3,6,5,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,4,1,2,6,5] => [4,3,6,5,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,4,1,5,2,6] => [4,3,6,2,5,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[3,4,1,5,6,2] => [4,3,6,2,1,5] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,4,1,6,2,5] => [4,3,6,1,5,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,4,1,6,5,2] => [4,3,6,1,2,5] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[3,4,2,1,5,6] => [4,3,5,6,2,1] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,4,2,1,6,5] => [4,3,5,6,1,2] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,4,2,5,1,6] => [4,3,5,2,6,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[3,4,2,5,6,1] => [4,3,5,2,1,6] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,4,2,6,1,5] => [4,3,5,1,6,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,4,2,6,5,1] => [4,3,5,1,2,6] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[3,4,5,1,2,6] => [4,3,2,6,5,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,4,5,1,6,2] => [4,3,2,6,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,4,5,2,1,6] => [4,3,2,5,6,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[3,4,5,2,6,1] => [4,3,2,5,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,4,5,6,1,2] => [4,3,2,1,6,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,4,5,6,2,1] => [4,3,2,1,5,6] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,4,6,1,2,5] => [4,3,1,6,5,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,4,6,1,5,2] => [4,3,1,6,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,4,6,2,1,5] => [4,3,1,5,6,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,4,6,2,5,1] => [4,3,1,5,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,4,6,5,1,2] => [4,3,1,2,6,5] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,4,6,5,2,1] => [4,3,1,2,5,6] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[3,5,1,2,4,6] => [4,2,6,5,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,5,1,2,6,4] => [4,2,6,5,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,5,1,4,2,6] => [4,2,6,3,5,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[3,5,1,4,6,2] => [4,2,6,3,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,5,1,6,4,2] => [4,2,6,1,3,5] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[3,5,2,1,4,6] => [4,2,5,6,3,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[3,5,2,1,6,4] => [4,2,5,6,1,3] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,5,2,4,1,6] => [4,2,5,3,6,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[3,5,2,4,6,1] => [4,2,5,3,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,5,2,6,1,4] => [4,2,5,1,6,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,5,2,6,4,1] => [4,2,5,1,3,6] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[3,5,4,1,2,6] => [4,2,3,6,5,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,5,4,1,6,2] => [4,2,3,6,1,5] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,5,4,2,1,6] => [4,2,3,5,6,1] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,5,4,2,6,1] => [4,2,3,5,1,6] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,5,4,6,1,2] => [4,2,3,1,6,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,5,4,6,2,1] => [4,2,3,1,5,6] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,5,6,1,4,2] => [4,2,1,6,3,5] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,5,6,2,1,4] => [4,2,1,5,6,3] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,5,6,2,4,1] => [4,2,1,5,3,6] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,5,6,4,1,2] => [4,2,1,3,6,5] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[3,5,6,4,2,1] => [4,2,1,3,5,6] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,6,1,2,4,5] => [4,1,6,5,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,6,1,2,5,4] => [4,1,6,5,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[3,6,1,4,2,5] => [4,1,6,3,5,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,6,1,4,5,2] => [4,1,6,3,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,6,1,5,2,4] => [4,1,6,2,5,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[3,6,1,5,4,2] => [4,1,6,2,3,5] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[3,6,2,1,4,5] => [4,1,5,6,3,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,6,2,1,5,4] => [4,1,5,6,2,3] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[3,6,2,4,1,5] => [4,1,5,3,6,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,6,2,4,5,1] => [4,1,5,3,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,6,2,5,4,1] => [4,1,5,2,3,6] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[3,6,4,1,2,5] => [4,1,3,6,5,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[3,6,4,1,5,2] => [4,1,3,6,2,5] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[3,6,4,2,1,5] => [4,1,3,5,6,2] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[3,6,4,2,5,1] => [4,1,3,5,2,6] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[3,6,4,5,1,2] => [4,1,3,2,6,5] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,6,4,5,2,1] => [4,1,3,2,5,6] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[3,6,5,1,2,4] => [4,1,2,6,5,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[3,6,5,1,4,2] => [4,1,2,6,3,5] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[3,6,5,2,4,1] => [4,1,2,5,3,6] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[3,6,5,4,1,2] => [4,1,2,3,6,5] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[3,6,5,4,2,1] => [4,1,2,3,5,6] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,1,2,3,5,6] => [3,6,5,4,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,1,2,3,6,5] => [3,6,5,4,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,1,2,5,3,6] => [3,6,5,2,4,1] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[4,1,2,6,3,5] => [3,6,5,1,4,2] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[4,1,2,6,5,3] => [3,6,5,1,2,4] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[4,1,3,2,5,6] => [3,6,4,5,2,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,1,3,2,6,5] => [3,6,4,5,1,2] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,1,3,5,2,6] => [3,6,4,2,5,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,1,3,5,6,2] => [3,6,4,2,1,5] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[4,1,3,6,2,5] => [3,6,4,1,5,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[4,1,3,6,5,2] => [3,6,4,1,2,5] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,1,5,2,3,6] => [3,6,2,5,4,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[4,1,5,3,2,6] => [3,6,2,4,5,1] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,1,5,3,6,2] => [3,6,2,4,1,5] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[4,1,5,6,2,3] => [3,6,2,1,5,4] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[4,1,5,6,3,2] => [3,6,2,1,4,5] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[4,1,6,2,3,5] => [3,6,1,5,4,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[4,1,6,2,5,3] => [3,6,1,5,2,4] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[4,1,6,3,2,5] => [3,6,1,4,5,2] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[4,1,6,3,5,2] => [3,6,1,4,2,5] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[4,1,6,5,2,3] => [3,6,1,2,5,4] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,1,6,5,3,2] => [3,6,1,2,4,5] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,2,1,3,5,6] => [3,5,6,4,2,1] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,2,1,3,6,5] => [3,5,6,4,1,2] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[4,2,1,5,3,6] => [3,5,6,2,4,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[4,2,1,5,6,3] => [3,5,6,2,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[4,2,1,6,3,5] => [3,5,6,1,4,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[4,2,3,1,5,6] => [3,5,4,6,2,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[4,2,3,1,6,5] => [3,5,4,6,1,2] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[4,2,3,5,1,6] => [3,5,4,2,6,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[4,2,3,5,6,1] => [3,5,4,2,1,6] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[4,2,3,6,1,5] => [3,5,4,1,6,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[4,2,3,6,5,1] => [3,5,4,1,2,6] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[4,2,5,1,3,6] => [3,5,2,6,4,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[4,2,5,1,6,3] => [3,5,2,6,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[4,2,5,3,1,6] => [3,5,2,4,6,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,2,5,3,6,1] => [3,5,2,4,1,6] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[4,2,5,6,1,3] => [3,5,2,1,6,4] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[4,2,5,6,3,1] => [3,5,2,1,4,6] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,2,6,1,3,5] => [3,5,1,6,4,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[4,2,6,3,1,5] => [3,5,1,4,6,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,2,6,3,5,1] => [3,5,1,4,2,6] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[4,2,6,5,1,3] => [3,5,1,2,6,4] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[4,2,6,5,3,1] => [3,5,1,2,4,6] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,3,1,2,5,6] => [3,4,6,5,2,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[4,3,1,2,6,5] => [3,4,6,5,1,2] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[4,3,1,5,2,6] => [3,4,6,2,5,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,3,1,5,6,2] => [3,4,6,2,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[4,3,1,6,2,5] => [3,4,6,1,5,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[4,3,1,6,5,2] => [3,4,6,1,2,5] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,3,2,1,5,6] => [3,4,5,6,2,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,3,2,1,6,5] => [3,4,5,6,1,2] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[4,3,2,5,1,6] => [3,4,5,2,6,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,3,2,5,6,1] => [3,4,5,2,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,3,2,6,1,5] => [3,4,5,1,6,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,3,2,6,5,1] => [3,4,5,1,2,6] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,3,5,1,2,6] => [3,4,2,6,5,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,3,5,1,6,2] => [3,4,2,6,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,3,5,2,1,6] => [3,4,2,5,6,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[4,3,5,2,6,1] => [3,4,2,5,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,3,5,6,1,2] => [3,4,2,1,6,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,3,5,6,2,1] => [3,4,2,1,5,6] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,3,6,1,2,5] => [3,4,1,6,5,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,3,6,1,5,2] => [3,4,1,6,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,3,6,2,1,5] => [3,4,1,5,6,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,3,6,2,5,1] => [3,4,1,5,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,3,6,5,1,2] => [3,4,1,2,6,5] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,3,6,5,2,1] => [3,4,1,2,5,6] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[4,5,1,2,3,6] => [3,2,6,5,4,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,5,1,2,6,3] => [3,2,6,5,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[4,5,1,3,2,6] => [3,2,6,4,5,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,5,1,3,6,2] => [3,2,6,4,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,5,1,6,3,2] => [3,2,6,1,4,5] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,5,2,1,3,6] => [3,2,5,6,4,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[4,5,2,1,6,3] => [3,2,5,6,1,4] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[4,5,2,3,1,6] => [3,2,5,4,6,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,5,2,3,6,1] => [3,2,5,4,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,5,2,6,1,3] => [3,2,5,1,6,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,5,2,6,3,1] => [3,2,5,1,4,6] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[4,5,3,1,2,6] => [3,2,4,6,5,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,5,3,1,6,2] => [3,2,4,6,1,5] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[4,5,3,2,1,6] => [3,2,4,5,6,1] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,5,3,2,6,1] => [3,2,4,5,1,6] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,5,3,6,1,2] => [3,2,4,1,6,5] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[4,5,3,6,2,1] => [3,2,4,1,5,6] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,5,6,1,3,2] => [3,2,1,6,4,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,5,6,2,1,3] => [3,2,1,5,6,4] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,5,6,2,3,1] => [3,2,1,5,4,6] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[4,5,6,3,1,2] => [3,2,1,4,6,5] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,5,6,3,2,1] => [3,2,1,4,5,6] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,6,1,2,3,5] => [3,1,6,5,4,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,6,1,2,5,3] => [3,1,6,5,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[4,6,1,3,2,5] => [3,1,6,4,5,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[4,6,1,3,5,2] => [3,1,6,4,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,6,1,5,2,3] => [3,1,6,2,5,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,6,1,5,3,2] => [3,1,6,2,4,5] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[4,6,2,1,3,5] => [3,1,5,6,4,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,6,2,1,5,3] => [3,1,5,6,2,4] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[4,6,2,3,1,5] => [3,1,5,4,6,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[4,6,2,3,5,1] => [3,1,5,4,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[4,6,2,5,3,1] => [3,1,5,2,4,6] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[4,6,3,1,2,5] => [3,1,4,6,5,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,6,3,1,5,2] => [3,1,4,6,2,5] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[4,6,3,2,1,5] => [3,1,4,5,6,2] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[4,6,3,2,5,1] => [3,1,4,5,2,6] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[4,6,3,5,1,2] => [3,1,4,2,6,5] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[4,6,3,5,2,1] => [3,1,4,2,5,6] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[4,6,5,1,2,3] => [3,1,2,6,5,4] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,6,5,1,3,2] => [3,1,2,6,4,5] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[4,6,5,2,3,1] => [3,1,2,5,4,6] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[4,6,5,3,1,2] => [3,1,2,4,6,5] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[4,6,5,3,2,1] => [3,1,2,4,5,6] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,1,2,3,4,6] => [2,6,5,4,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,1,2,3,6,4] => [2,6,5,4,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[5,1,2,4,3,6] => [2,6,5,3,4,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,1,2,4,6,3] => [2,6,5,3,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,2,6,3,4] => [2,6,5,1,4,3] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,2,6,4,3] => [2,6,5,1,3,4] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[5,1,3,2,4,6] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,1,3,2,6,4] => [2,6,4,5,1,3] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[5,1,3,4,2,6] => [2,6,4,3,5,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,3,6,2,4] => [2,6,4,1,5,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,3,6,4,2] => [2,6,4,1,3,5] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,4,2,3,6] => [2,6,3,5,4,1] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[5,1,4,2,6,3] => [2,6,3,5,1,4] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,4,3,2,6] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,4,6,2,3] => [2,6,3,1,5,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,4,6,3,2] => [2,6,3,1,4,5] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,1,6,2,3,4] => [2,6,1,5,4,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,6,2,4,3] => [2,6,1,5,3,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,1,6,3,2,4] => [2,6,1,4,5,3] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,1,6,3,4,2] => [2,6,1,4,3,5] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,6,4,2,3] => [2,6,1,3,5,4] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[5,1,6,4,3,2] => [2,6,1,3,4,5] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[5,2,1,3,4,6] => [2,5,6,4,3,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[5,2,1,3,6,4] => [2,5,6,4,1,3] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[5,2,1,4,3,6] => [2,5,6,3,4,1] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[5,2,1,4,6,3] => [2,5,6,3,1,4] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,2,1,6,3,4] => [2,5,6,1,4,3] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,2,1,6,4,3] => [2,5,6,1,3,4] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[5,2,3,1,4,6] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[5,2,3,1,6,4] => [2,5,4,6,1,3] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[5,2,3,4,1,6] => [2,5,4,3,6,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[5,2,3,4,6,1] => [2,5,4,3,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,3,6,1,4] => [2,5,4,1,6,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,3,6,4,1] => [2,5,4,1,3,6] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[5,2,4,1,3,6] => [2,5,3,6,4,1] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[5,2,4,1,6,3] => [2,5,3,6,1,4] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[5,2,4,3,1,6] => [2,5,3,4,6,1] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[5,2,4,3,6,1] => [2,5,3,4,1,6] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,4,6,1,3] => [2,5,3,1,6,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,4,6,3,1] => [2,5,3,1,4,6] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[5,2,6,1,3,4] => [2,5,1,6,4,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,6,1,4,3] => [2,5,1,6,3,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,2,6,3,1,4] => [2,5,1,4,6,3] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[5,2,6,3,4,1] => [2,5,1,4,3,6] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[5,2,6,4,1,3] => [2,5,1,3,6,4] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[5,2,6,4,3,1] => [2,5,1,3,4,6] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,3,1,2,4,6] => [2,4,6,5,3,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[5,3,1,2,6,4] => [2,4,6,5,1,3] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[5,3,1,4,2,6] => [2,4,6,3,5,1] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[5,3,1,4,6,2] => [2,4,6,3,1,5] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[5,3,1,6,2,4] => [2,4,6,1,5,3] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[5,3,2,1,4,6] => [2,4,5,6,3,1] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[5,3,2,1,6,4] => [2,4,5,6,1,3] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[5,3,2,4,1,6] => [2,4,5,3,6,1] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[5,3,2,4,6,1] => [2,4,5,3,1,6] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,3,2,6,1,4] => [2,4,5,1,6,3] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[5,3,2,6,4,1] => [2,4,5,1,3,6] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,3,4,1,2,6] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[5,3,4,1,6,2] => [2,4,3,6,1,5] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[5,3,4,2,1,6] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[5,3,4,2,6,1] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[5,3,4,6,1,2] => [2,4,3,1,6,5] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[5,3,4,6,2,1] => [2,4,3,1,5,6] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[5,3,6,1,2,4] => [2,4,1,6,5,3] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[5,3,6,2,1,4] => [2,4,1,5,6,3] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[5,3,6,2,4,1] => [2,4,1,5,3,6] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[5,3,6,4,1,2] => [2,4,1,3,6,5] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,3,6,4,2,1] => [2,4,1,3,5,6] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,4,1,2,3,6] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[5,4,1,2,6,3] => [2,3,6,5,1,4] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[5,4,1,3,2,6] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[5,4,1,3,6,2] => [2,3,6,4,1,5] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,4,1,6,2,3] => [2,3,6,1,5,4] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[5,4,2,1,3,6] => [2,3,5,6,4,1] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[5,4,2,1,6,3] => [2,3,5,6,1,4] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[5,4,2,3,1,6] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[5,4,2,3,6,1] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[5,4,2,6,1,3] => [2,3,5,1,6,4] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[5,4,2,6,3,1] => [2,3,5,1,4,6] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,4,3,1,2,6] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[5,4,3,1,6,2] => [2,3,4,6,1,5] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[5,4,3,2,1,6] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[5,4,3,2,6,1] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,4,3,6,1,2] => [2,3,4,1,6,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,4,3,6,2,1] => [2,3,4,1,5,6] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,4,6,1,2,3] => [2,3,1,6,5,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,4,6,2,1,3] => [2,3,1,5,6,4] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,4,6,2,3,1] => [2,3,1,5,4,6] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[5,4,6,3,1,2] => [2,3,1,4,6,5] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,4,6,3,2,1] => [2,3,1,4,5,6] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,6,1,2,3,4] => [2,1,6,5,4,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,6,1,2,4,3] => [2,1,6,5,3,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,6,1,3,2,4] => [2,1,6,4,5,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,6,1,3,4,2] => [2,1,6,4,3,5] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[5,6,1,4,2,3] => [2,1,6,3,5,4] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[5,6,1,4,3,2] => [2,1,6,3,4,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[5,6,2,1,3,4] => [2,1,5,6,4,3] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,6,2,1,4,3] => [2,1,5,6,3,4] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,6,2,3,1,4] => [2,1,5,4,6,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[5,6,2,3,4,1] => [2,1,5,4,3,6] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,6,2,4,1,3] => [2,1,5,3,6,4] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,6,2,4,3,1] => [2,1,5,3,4,6] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[5,6,3,1,2,4] => [2,1,4,6,5,3] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,6,3,1,4,2] => [2,1,4,6,3,5] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[5,6,3,2,1,4] => [2,1,4,5,6,3] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[5,6,3,2,4,1] => [2,1,4,5,3,6] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[5,6,3,4,2,1] => [2,1,4,3,5,6] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[5,6,4,1,2,3] => [2,1,3,6,5,4] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,6,4,1,3,2] => [2,1,3,6,4,5] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[5,6,4,2,1,3] => [2,1,3,5,6,4] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[5,6,4,2,3,1] => [2,1,3,5,4,6] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[5,6,4,3,2,1] => [2,1,3,4,5,6] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,2,3,5,4] => [1,6,5,4,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,2,4,3,5] => [1,6,5,3,4,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,2,4,5,3] => [1,6,5,3,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[6,1,2,5,3,4] => [1,6,5,2,4,3] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[6,1,2,5,4,3] => [1,6,5,2,3,4] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,3,2,4,5] => [1,6,4,5,3,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,3,2,5,4] => [1,6,4,5,2,3] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,3,4,2,5] => [1,6,4,3,5,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[6,1,3,4,5,2] => [1,6,4,3,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,3,5,2,4] => [1,6,4,2,5,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,3,5,4,2] => [1,6,4,2,3,5] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[6,1,4,2,3,5] => [1,6,3,5,4,2] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[6,1,4,2,5,3] => [1,6,3,5,2,4] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[6,1,4,3,2,5] => [1,6,3,4,5,2] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,1,4,3,5,2] => [1,6,3,4,2,5] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,4,5,2,3] => [1,6,3,2,5,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,4,5,3,2] => [1,6,3,2,4,5] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,5,2,3,4] => [1,6,2,5,4,3] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,5,2,4,3] => [1,6,2,5,3,4] => [1,6,2,5,3,4] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,5,3,2,4] => [1,6,2,4,5,3] => [1,6,2,4,5,3] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
[6,1,5,3,4,2] => [1,6,2,4,3,5] => [1,6,2,4,3,5] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 2
[6,1,5,4,2,3] => [1,6,2,3,5,4] => [1,6,2,3,5,4] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 2
[6,1,5,4,3,2] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,2,1,3,4,5] => [1,5,6,4,3,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,2,1,3,5,4] => [1,5,6,4,2,3] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,2,1,4,3,5] => [1,5,6,3,4,2] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,2,1,4,5,3] => [1,5,6,3,2,4] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[6,2,1,5,3,4] => [1,5,6,2,4,3] => [1,5,6,2,4,3] => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
[6,2,1,5,4,3] => [1,5,6,2,3,4] => [1,5,6,2,3,4] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,2,3,1,4,5] => [1,5,4,6,3,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[6,2,3,1,5,4] => [1,5,4,6,2,3] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[6,2,3,4,1,5] => [1,5,4,3,6,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,3,5,1,4] => [1,5,4,2,6,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,3,5,4,1] => [1,5,4,2,3,6] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,2,4,1,3,5] => [1,5,3,6,4,2] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,2,4,1,5,3] => [1,5,3,6,2,4] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[6,2,4,3,1,5] => [1,5,3,4,6,2] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,4,5,1,3] => [1,5,3,2,6,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,4,5,3,1] => [1,5,3,2,4,6] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[6,2,5,1,3,4] => [1,5,2,6,4,3] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,5,1,4,3] => [1,5,2,6,3,4] => [1,5,2,6,3,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,2,5,3,1,4] => [1,5,2,4,6,3] => [1,5,2,4,6,3] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
[6,2,5,3,4,1] => [1,5,2,4,3,6] => [1,5,2,4,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 2
[6,2,5,4,1,3] => [1,5,2,3,6,4] => [1,5,2,3,6,4] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,2,5,4,3,1] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[6,3,1,2,4,5] => [1,4,6,5,3,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,1,2,5,4] => [1,4,6,5,2,3] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,1,4,2,5] => [1,4,6,3,5,2] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,1,4,5,2] => [1,4,6,3,2,5] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[6,3,1,5,2,4] => [1,4,6,2,5,3] => [1,4,6,2,5,3] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2
[6,3,1,5,4,2] => [1,4,6,2,3,5] => [1,4,6,2,3,5] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,2,1,4,5] => [1,4,5,6,3,2] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,3,2,1,5,4] => [1,4,5,6,2,3] => [1,4,5,6,2,3] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2
[6,3,2,4,1,5] => [1,4,5,3,6,2] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[6,3,2,4,5,1] => [1,4,5,3,2,6] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,2,5,1,4] => [1,4,5,2,6,3] => [1,4,5,2,6,3] => ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [1,4,5,2,3,6] => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
[6,3,4,1,2,5] => [1,4,3,6,5,2] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[6,3,4,1,5,2] => [1,4,3,6,2,5] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[6,3,4,2,1,5] => [1,4,3,5,6,2] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[6,3,4,2,5,1] => [1,4,3,5,2,6] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,3,4,5,1,2] => [1,4,3,2,6,5] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,3,4,5,2,1] => [1,4,3,2,5,6] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,3,5,1,2,4] => [1,4,2,6,5,3] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,3,5,1,4,2] => [1,4,2,6,3,5] => [1,4,2,6,3,5] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,3,5,2,1,4] => [1,4,2,5,6,3] => [1,4,2,5,6,3] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [1,4,2,5,3,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[6,3,5,4,1,2] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[6,3,5,4,2,1] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[6,4,1,2,3,5] => [1,3,6,5,4,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,4,1,2,5,3] => [1,3,6,5,2,4] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,4,1,3,2,5] => [1,3,6,4,5,2] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,4,1,3,5,2] => [1,3,6,4,2,5] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[6,4,1,5,2,3] => [1,3,6,2,5,4] => [1,3,6,2,5,4] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 2
[6,4,1,5,3,2] => [1,3,6,2,4,5] => [1,3,6,2,4,5] => ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 2
[6,4,2,1,3,5] => [1,3,5,6,4,2] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,4,2,1,5,3] => [1,3,5,6,2,4] => [1,3,5,6,2,4] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
[6,4,2,3,1,5] => [1,3,5,4,6,2] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[6,4,2,3,5,1] => [1,3,5,4,2,6] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,4,2,5,1,3] => [1,3,5,2,6,4] => [1,3,5,2,6,4] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [1,3,5,2,4,6] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[6,4,3,1,2,5] => [1,3,4,6,5,2] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,4,3,1,5,2] => [1,3,4,6,2,5] => [1,3,4,6,2,5] => ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 2
[6,4,3,2,1,5] => [1,3,4,5,6,2] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
[6,4,3,2,5,1] => [1,3,4,5,2,6] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
[6,4,3,5,1,2] => [1,3,4,2,6,5] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[6,4,3,5,2,1] => [1,3,4,2,5,6] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[6,4,5,1,2,3] => [1,3,2,6,5,4] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[6,4,5,1,3,2] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[6,4,5,2,1,3] => [1,3,2,5,6,4] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[6,4,5,3,1,2] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[6,4,5,3,2,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[6,5,1,2,3,4] => [1,2,6,5,4,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[6,5,1,2,4,3] => [1,2,6,5,3,4] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[6,5,1,3,2,4] => [1,2,6,4,5,3] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[6,5,1,3,4,2] => [1,2,6,4,3,5] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[6,5,1,4,2,3] => [1,2,6,3,5,4] => [1,2,6,3,5,4] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 2
[6,5,1,4,3,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[6,5,2,1,3,4] => [1,2,5,6,4,3] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[6,5,2,1,4,3] => [1,2,5,6,3,4] => [1,2,5,6,3,4] => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2
[6,5,2,3,1,4] => [1,2,5,4,6,3] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[6,5,2,3,4,1] => [1,2,5,4,3,6] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[6,5,2,4,1,3] => [1,2,5,3,6,4] => [1,2,5,3,6,4] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[6,5,2,4,3,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[6,5,3,1,2,4] => [1,2,4,6,5,3] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[6,5,3,1,4,2] => [1,2,4,6,3,5] => [1,2,4,6,3,5] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[6,5,3,2,1,4] => [1,2,4,5,6,3] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2
[6,5,3,2,4,1] => [1,2,4,5,3,6] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[6,5,3,4,1,2] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[6,5,4,1,2,3] => [1,2,3,6,5,4] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[6,5,4,1,3,2] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[6,5,4,2,1,3] => [1,2,3,5,6,4] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[6,5,4,2,3,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[6,5,4,3,1,2] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,4,5,3,6,7] => [7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,4,5,3,7,6] => [7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,4,6,3,7,5] => [7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,2,4,6,5,3,7] => [7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,4,7,5,6,3] => [7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,2,4,7,6,5,3] => [7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,7,5,6,3,4] => [7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,3,4,2,6,7,5] => [7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,3,4,2,7,5,6] => [7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,3,4,6,7,5,2] => [7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,4,7,5,2,6] => [7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,5,6,4,7,2] => [7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,5,7,2,6,4] => [7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,6,4,2,7,5] => [7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,3,6,4,5,7,2] => [7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,6,4,7,2,5] => [7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,6,4,7,5,2] => [7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,6,7,5,2,4] => [7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,7,2,5,6,4] => [7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,7,2,6,4,5] => [7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,3,7,5,2,4,6] => [7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,7,5,2,6,4] => [7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,3,7,5,6,4,2] => [7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,4,2,3,6,7,5] => [7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,4,3,6,7,5,2] => [7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,4,3,7,5,2,6] => [7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,4,6,7,5,2,3] => [7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,4,7,5,2,3,6] => [7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,5,3,4,2,6,7] => [7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,5,3,4,2,7,6] => [7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,5,3,6,4,7,2] => [7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,5,3,7,2,6,4] => [7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,5,4,3,2,6,7] => [7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,5,4,3,2,7,6] => [7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,5,6,3,2,7,4] => [7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,5,6,3,7,4,2] => [7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,5,6,4,7,2,3] => [7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,5,6,4,7,3,2] => [7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,5,7,2,3,6,4] => [7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,5,7,3,2,6,4] => [7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,5,7,4,6,3,2] => [7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,3,2,5,7,4] => [7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,3,4,2,7,5] => [7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,6,3,5,7,4,2] => [7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,6,4,3,7,5,2] => [7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,4,5,3,7,2] => [7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,6,4,5,7,2,3] => [7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,6,4,5,7,3,2] => [7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,6,4,7,2,3,5] => [7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,6,4,7,2,5,3] => [7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,6,4,7,3,2,5] => [7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,6,4,7,5,2,3] => [7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,5,3,4,2,7] => [7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,6,7,5,2,4,3] => [7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,2,3,5,6,4] => [7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,7,2,3,6,4,5] => [7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,7,2,5,3,6,4] => [7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,7,2,6,4,5,3] => [7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[1,7,3,2,5,6,4] => [7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,7,3,2,6,4,5] => [7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,7,4,2,6,3,5] => [7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,5,2,4,3,6] => [7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,5,2,6,4,3] => [7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[1,7,5,6,3,4,2] => [7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,7,6,5,3,4,2] => [7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,7,6,5,4,3,2] => [7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,4,5,6,7] => [6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,4,6,5,7] => [6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,4,7,6,5] => [6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,5,4,6,7] => [6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,5,4,7,6] => [6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,6,5,4,7] => [6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,3,7,6,5,4] => [6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,4,3,5,6,7] => [6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,4,3,5,7,6] => [6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,4,3,6,5,7] => [6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,4,3,7,6,5] => [6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,4,5,3,6,7] => [6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,4,5,3,7,6] => [6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,4,6,3,7,5] => [6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[2,1,4,6,5,3,7] => [6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,4,7,5,6,3] => [6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[2,1,4,7,6,5,3] => [6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,5,3,4,6,7] => [6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,5,3,4,7,6] => [6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,5,4,3,6,7] => [6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,6,3,4,7,5] => [6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[2,1,6,5,3,4,7] => [6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,6,5,4,3,7] => [6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,1,7,5,6,3,4] => [6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[2,1,7,6,5,3,4] => [6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[2,1,7,6,5,4,3] => [6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[2,3,1,4,5,6,7] => [6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,4,5,7,6] => [6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,4,6,5,7] => [6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,4,7,6,5] => [6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,5,4,6,7] => [6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,5,4,7,6] => [6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,5,6,7,4] => [6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,5,7,4,6] => [6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,6,5,4,7] => [6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,1,6,5,7,4] => [6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,6,7,4,5] => [6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,6,7,5,4] => [6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,7,4,5,6] => [6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,7,4,6,5] => [6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,7,5,4,6] => [6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,3,1,7,6,5,4] => [6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,3,4,1,5,6,7] => [6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,4,1,5,7,6] => [6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,4,1,6,5,7] => [6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,4,1,7,6,5] => [6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,4,5,1,6,7] => [6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,4,5,1,7,6] => [6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,4,5,6,1,7] => [6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,4,5,6,7,1] => [6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,5,7,1,6] => [6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,5,7,6,1] => [6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,4,6,1,5,7] => [6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,4,6,5,1,7] => [6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,4,6,5,7,1] => [6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,6,7,1,5] => [6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,7,1,5,6] => [6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,7,1,6,5] => [6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,4,7,6,1,5] => [6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,4,7,6,5,1] => [6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,5,1,4,6,7] => [6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,5,1,4,7,6] => [6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,5,4,1,6,7] => [6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,5,4,1,7,6] => [6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,5,4,6,1,7] => [6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,5,4,6,7,1] => [6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,5,4,7,1,6] => [6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,5,4,7,6,1] => [6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,5,6,1,4,7] => [6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,5,6,7,1,4] => [6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,5,7,1,4,6] => [6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,5,7,6,1,4] => [6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,6,1,4,5,7] => [6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,6,1,5,4,7] => [6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,6,5,1,4,7] => [6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,6,5,4,1,7] => [6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,6,5,4,7,1] => [6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,6,5,7,1,4] => [6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,6,7,1,4,5] => [6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,6,7,1,5,4] => [6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,7,1,4,5,6] => [6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,7,1,4,6,5] => [6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,7,1,5,4,6] => [6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,7,1,6,5,4] => [6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,3,7,6,1,4,5] => [6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,7,6,1,5,4] => [6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,3,7,6,5,1,4] => [6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,3,7,6,5,4,1] => [6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,4,1,3,5,6,7] => [6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,4,1,3,5,7,6] => [6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,4,1,3,6,5,7] => [6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,4,1,3,7,6,5] => [6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,4,1,6,3,7,5] => [6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,4,1,7,5,6,3] => [6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,4,3,1,5,6,7] => [6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,4,3,1,5,7,6] => [6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,4,3,1,6,5,7] => [6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,4,3,1,7,6,5] => [6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,4,3,5,1,6,7] => [6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,3,5,1,7,6] => [6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,3,5,6,1,7] => [6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,3,5,6,7,1] => [6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,5,7,1,6] => [6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,5,7,6,1] => [6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,3,6,1,5,7] => [6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,3,6,5,1,7] => [6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,3,6,5,7,1] => [6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,6,7,1,5] => [6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,7,1,5,6] => [6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,7,1,6,5] => [6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,3,7,6,1,5] => [6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,3,7,6,5,1] => [6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,5,1,3,6,7] => [6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,5,1,3,7,6] => [6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,5,6,1,3,7] => [6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,5,6,7,1,3] => [6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,5,7,1,3,6] => [6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,5,7,6,1,3] => [6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,6,1,3,5,7] => [6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,6,3,1,7,5] => [6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[2,4,6,3,7,5,1] => [6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,4,6,5,1,3,7] => [6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,4,6,5,7,1,3] => [6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,6,7,1,3,5] => [6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,7,1,3,5,6] => [6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,7,1,3,6,5] => [6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,4,7,5,1,6,3] => [6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,4,7,5,6,3,1] => [6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[2,4,7,6,1,3,5] => [6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,4,7,6,5,1,3] => [6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,5,1,3,4,6,7] => [6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,5,1,3,4,7,6] => [6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,5,1,4,3,6,7] => [6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,5,1,4,3,7,6] => [6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,5,1,6,4,7,3] => [6,3,7,2,4,1,5] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,5,1,6,7,4,3] => [6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,5,1,7,3,6,4] => [6,3,7,1,5,2,4] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,5,1,7,4,3,6] => [6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,5,3,1,6,7,4] => [6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,5,3,1,7,4,6] => [6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,5,4,1,3,6,7] => [6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,5,4,1,3,7,6] => [6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,5,4,3,1,6,7] => [6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,5,4,3,1,7,6] => [6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,5,4,3,6,1,7] => [6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,4,3,6,7,1] => [6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,4,3,7,1,6] => [6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,4,3,7,6,1] => [6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,4,6,1,3,7] => [6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,4,6,7,1,3] => [6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,4,7,1,3,6] => [6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,4,7,6,1,3] => [6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,6,1,3,4,7] => [6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,6,1,4,3,7] => [6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,6,4,7,3,1] => [6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,5,6,7,1,3,4] => [6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,6,7,1,4,3] => [6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,7,1,3,4,6] => [6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,7,1,4,3,6] => [6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,5,7,3,1,6,4] => [6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,5,7,6,1,3,4] => [6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,5,7,6,1,4,3] => [6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,6,1,3,4,5,7] => [6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,6,1,3,5,4,7] => [6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,6,1,4,3,5,7] => [6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,6,1,5,4,3,7] => [6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,6,3,1,4,7,5] => [6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[2,6,3,1,7,5,4] => [6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,6,3,4,1,7,5] => [6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,6,3,4,7,5,1] => [6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,6,3,7,5,1,4] => [6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,6,4,5,1,7,3] => [6,2,4,3,7,1,5] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,6,4,5,7,3,1] => [6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,6,4,7,3,1,5] => [6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,6,4,7,3,5,1] => [6,2,4,1,5,3,7] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,6,5,1,3,4,7] => [6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,6,5,1,4,3,7] => [6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,6,5,1,7,4,3] => [6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,6,5,3,1,7,4] => [6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,6,5,4,1,3,7] => [6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,6,5,4,3,1,7] => [6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,6,5,4,3,7,1] => [6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,5,4,7,1,3] => [6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,5,7,1,3,4] => [6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,5,7,1,4,3] => [6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,7,1,3,4,5] => [6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,7,1,3,5,4] => [6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,7,1,4,3,5] => [6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,7,1,5,4,3] => [6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,6,7,4,3,5,1] => [6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,6,7,4,5,3,1] => [6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,7,1,3,4,5,6] => [6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,3,4,6,5] => [6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,3,5,4,6] => [6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,3,6,5,4] => [6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,4,3,5,6] => [6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,4,3,6,5] => [6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,5,4,3,6] => [6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,1,6,5,4,3] => [6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[2,7,3,1,5,6,4] => [6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,7,3,1,6,4,5] => [6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[2,7,3,5,1,6,4] => [6,1,5,3,7,2,4] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,7,3,6,4,5,1] => [6,1,5,2,4,3,7] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[2,7,4,3,5,1,6] => [6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,7,4,3,6,5,1] => [6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[2,7,4,5,3,1,6] => [6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,7,4,6,5,3,1] => [6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,7,5,1,4,6,3] => [6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,7,5,1,6,3,4] => [6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[2,7,5,4,6,3,1] => [6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,7,5,6,3,1,4] => [6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[2,7,5,6,3,4,1] => [6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,7,6,1,3,4,5] => [6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,7,6,1,3,5,4] => [6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,7,6,1,4,3,5] => [6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,7,6,1,5,4,3] => [6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[2,7,6,5,1,3,4] => [6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,7,6,5,1,4,3] => [6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[2,7,6,5,4,1,3] => [6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,7,6,5,4,3,1] => [6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,4,5,6,7] => [5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,4,5,7,6] => [5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,4,6,5,7] => [5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,4,7,6,5] => [5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,5,4,6,7] => [5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,5,4,7,6] => [5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,5,6,7,4] => [5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,5,7,4,6] => [5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,6,5,4,7] => [5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,2,6,5,7,4] => [5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,6,7,4,5] => [5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,6,7,5,4] => [5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,7,4,5,6] => [5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,7,4,6,5] => [5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,7,5,4,6] => [5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[3,1,2,7,6,5,4] => [5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[3,1,4,2,6,7,5] => [5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[3,1,4,2,7,5,6] => [5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[3,1,4,6,7,5,2] => [5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,4,7,5,2,6] => [5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,5,6,4,7,2] => [5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,5,7,2,6,4] => [5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,6,4,2,7,5] => [5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[3,1,6,4,5,7,2] => [5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,6,4,7,2,5] => [5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,6,4,7,5,2] => [5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,6,7,5,2,4] => [5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,7,2,5,6,4] => [5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,7,2,6,4,5] => [5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[3,1,7,5,2,4,6] => [5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,7,5,2,6,4] => [5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[3,1,7,5,6,4,2] => [5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[3,2,1,4,5,6,7] => [5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,4,5,7,6] => [5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,4,6,5,7] => [5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,5,4,6,7] => [5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,5,4,7,6] => [5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,6,5,4,7] => [5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,1,7,6,5,4] => [5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[3,2,4,1,5,6,7] => [5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,4,1,5,7,6] => [5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,4,1,6,5,7] => [5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,4,1,7,6,5] => [5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,4,5,1,6,7] => [5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,4,5,1,7,6] => [5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,4,5,6,1,7] => [5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,4,5,6,7,1] => [5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,5,7,1,6] => [5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,5,7,6,1] => [5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,4,6,1,5,7] => [5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,4,6,5,1,7] => [5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,4,6,5,7,1] => [5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,6,7,1,5] => [5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,7,1,5,6] => [5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,7,1,6,5] => [5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,4,7,6,1,5] => [5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,4,7,6,5,1] => [5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,5,1,4,6,7] => [5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,5,1,4,7,6] => [5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,5,4,1,6,7] => [5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,5,4,1,7,6] => [5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,5,4,6,1,7] => [5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,5,4,6,7,1] => [5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,5,4,7,1,6] => [5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,5,4,7,6,1] => [5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,5,6,1,4,7] => [5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,5,6,7,1,4] => [5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,5,7,1,4,6] => [5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,5,7,6,1,4] => [5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,6,1,4,5,7] => [5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,6,1,5,4,7] => [5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,6,5,1,4,7] => [5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,6,5,4,1,7] => [5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,2,6,5,4,7,1] => [5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,6,5,7,1,4] => [5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,6,7,1,4,5] => [5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,6,7,1,5,4] => [5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,7,1,4,5,6] => [5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,7,1,4,6,5] => [5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,7,1,5,4,6] => [5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,7,1,6,5,4] => [5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,2,7,6,1,4,5] => [5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,7,6,1,5,4] => [5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,2,7,6,5,1,4] => [5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,2,7,6,5,4,1] => [5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,1,2,5,6,7] => [5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,1,2,5,7,6] => [5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,1,2,6,5,7] => [5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,1,2,7,6,5] => [5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,1,6,2,7,5] => [5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[3,4,1,7,5,6,2] => [5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[3,4,2,1,5,6,7] => [5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,2,1,5,7,6] => [5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,2,1,6,5,7] => [5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,2,1,7,6,5] => [5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,4,2,5,1,6,7] => [5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,4,2,5,1,7,6] => [5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,4,2,5,6,1,7] => [5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,4,2,5,6,7,1] => [5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,5,7,1,6] => [5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,5,7,6,1] => [5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,4,2,6,1,5,7] => [5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,4,2,6,1,7,5] => [5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[3,4,2,6,5,1,7] => [5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,4,2,6,5,7,1] => [5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,6,7,1,5] => [5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,6,7,5,1] => [5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,2,7,1,5,6] => [5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,7,1,6,5] => [5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,4,2,7,5,1,6] => [5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,2,7,5,6,1] => [5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[3,4,2,7,6,1,5] => [5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,4,2,7,6,5,1] => [5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,4,5,1,2,6,7] => [5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,5,1,2,7,6] => [5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,5,2,1,6,7] => [5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,4,5,2,1,7,6] => [5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,4,5,2,6,1,7] => [5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,4,5,2,6,7,1] => [5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,5,2,7,1,6] => [5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,5,2,7,6,1] => [5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,4,5,6,1,2,7] => [5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,4,5,6,2,1,7] => [5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,4,5,6,2,7,1] => [5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,5,6,7,1,2] => [5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,5,6,7,2,1] => [5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,5,7,1,2,6] => [5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,5,7,1,6,2] => [5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,5,7,2,1,6] => [5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,5,7,6,1,2] => [5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,4,5,7,6,2,1] => [5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,4,6,1,2,5,7] => [5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,4,6,1,5,2,7] => [5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,4,6,2,1,5,7] => [5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,4,6,2,1,7,5] => [5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[3,4,6,2,5,7,1] => [5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,6,2,7,1,5] => [5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,6,2,7,5,1] => [5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,4,6,5,1,2,7] => [5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,6,5,2,1,7] => [5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,4,6,5,2,7,1] => [5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,6,5,7,1,2] => [5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,6,5,7,2,1] => [5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,6,7,1,2,5] => [5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,6,7,1,5,2] => [5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,6,7,2,1,5] => [5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,7,1,2,5,6] => [5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,7,1,2,6,5] => [5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,4,7,1,5,2,6] => [5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,7,1,5,6,2] => [5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,7,1,6,2,5] => [5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,4,7,1,6,5,2] => [5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,4,7,2,1,5,6] => [5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,7,2,1,6,5] => [5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,4,7,5,1,6,2] => [5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,4,7,5,6,2,1] => [5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[3,4,7,6,1,2,5] => [5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,4,7,6,1,5,2] => [5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,4,7,6,2,1,5] => [5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,4,7,6,5,1,2] => [5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,4,7,6,5,2,1] => [5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,5,1,2,4,6,7] => [5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,5,1,2,4,7,6] => [5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,5,1,4,2,6,7] => [5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,5,1,4,2,7,6] => [5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,5,1,6,4,7,2] => [5,3,7,2,4,1,6] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,5,1,7,2,6,4] => [5,3,7,1,6,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,5,2,1,4,6,7] => [5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,5,2,1,4,7,6] => [5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,5,2,4,6,1,7] => [5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,5,2,4,6,7,1] => [5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,5,2,4,7,1,6] => [5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,5,2,4,7,6,1] => [5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,5,2,6,1,4,7] => [5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,5,2,6,4,7,1] => [5,3,6,2,4,1,7] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,5,2,6,7,1,4] => [5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,5,2,7,1,4,6] => [5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,5,2,7,1,6,4] => [5,3,6,1,7,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,5,2,7,6,1,4] => [5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,5,4,1,2,6,7] => [5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,5,4,1,2,7,6] => [5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,5,4,2,1,6,7] => [5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,5,4,2,1,7,6] => [5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,5,4,2,6,1,7] => [5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,5,4,2,6,7,1] => [5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,5,4,2,7,1,6] => [5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,5,4,2,7,6,1] => [5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,5,4,6,1,2,7] => [5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,5,4,6,2,1,7] => [5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,5,4,6,2,7,1] => [5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,4,6,7,1,2] => [5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,5,4,6,7,2,1] => [5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,5,4,7,1,2,6] => [5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,5,4,7,1,6,2] => [5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,4,7,2,1,6] => [5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,5,4,7,6,1,2] => [5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,5,4,7,6,2,1] => [5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,5,6,1,2,4,7] => [5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,5,6,1,4,2,7] => [5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,5,6,2,1,4,7] => [5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,5,6,2,4,7,1] => [5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,6,2,7,1,4] => [5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,6,4,7,2,1] => [5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,5,6,7,1,2,4] => [5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,5,6,7,1,4,2] => [5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,5,6,7,2,1,4] => [5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,5,7,1,2,4,6] => [5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,5,7,1,4,2,6] => [5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,5,7,1,4,6,2] => [5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,7,1,6,2,4] => [5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,5,7,2,1,4,6] => [5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,5,7,2,1,6,4] => [5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,5,7,6,1,2,4] => [5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,5,7,6,1,4,2] => [5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,5,7,6,2,1,4] => [5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,6,1,2,4,5,7] => [5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,6,1,2,5,4,7] => [5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,6,1,4,2,5,7] => [5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,6,1,4,2,7,5] => [5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[3,6,1,4,5,2,7] => [5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,6,1,5,2,4,7] => [5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,6,1,5,4,2,7] => [5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,6,2,1,4,5,7] => [5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,6,2,1,4,7,5] => [5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[3,6,2,1,5,4,7] => [5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,6,2,4,1,7,5] => [5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[3,6,2,4,5,7,1] => [5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,4,7,1,5] => [5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,4,7,5,1] => [5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,6,2,5,4,7,1] => [5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,5,7,1,4] => [5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,7,1,4,5] => [5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,7,1,5,4] => [5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,6,2,7,5,1,4] => [5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,6,4,2,7,5,1] => [5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,6,4,5,1,7,2] => [5,2,4,3,7,1,6] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,6,4,5,2,7,1] => [5,2,4,3,6,1,7] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,6,4,5,7,2,1] => [5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,6,4,7,1,5,2] => [5,2,4,1,7,3,6] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,6,4,7,2,1,5] => [5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,6,4,7,2,5,1] => [5,2,4,1,6,3,7] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,6,5,1,2,4,7] => [5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,6,5,1,4,2,7] => [5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,6,5,2,1,4,7] => [5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,6,5,2,4,7,1] => [5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,6,5,2,7,1,4] => [5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,6,5,4,1,2,7] => [5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,6,5,4,2,1,7] => [5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,6,5,4,2,7,1] => [5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,6,5,4,7,1,2] => [5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,6,5,4,7,2,1] => [5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,6,5,7,1,2,4] => [5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,6,5,7,1,4,2] => [5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,6,5,7,2,1,4] => [5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,6,7,1,2,4,5] => [5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,6,7,1,2,5,4] => [5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,6,7,1,4,2,5] => [5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,6,7,1,4,5,2] => [5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,6,7,1,5,2,4] => [5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,6,7,1,5,4,2] => [5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,6,7,2,1,4,5] => [5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,6,7,2,1,5,4] => [5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,6,7,5,1,4,2] => [5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,7,1,2,4,5,6] => [5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,7,1,2,4,6,5] => [5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,7,1,2,5,4,6] => [5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,7,1,2,6,5,4] => [5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[3,7,1,4,2,5,6] => [5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,7,1,4,2,6,5] => [5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,7,1,4,5,2,6] => [5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,7,1,4,5,6,2] => [5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,4,6,2,5] => [5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,4,6,5,2] => [5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,7,1,5,2,4,6] => [5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,7,1,5,2,6,4] => [5,1,7,3,6,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,7,1,5,4,2,6] => [5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,7,1,5,4,6,2] => [5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,5,6,2,4] => [5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,6,2,4,5] => [5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,6,2,5,4] => [5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[3,7,1,6,4,5,2] => [5,1,7,2,4,3,6] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[3,7,1,6,5,2,4] => [5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[3,7,1,6,5,4,2] => [5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[3,7,2,1,4,5,6] => [5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,7,2,1,4,6,5] => [5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,7,2,1,5,4,6] => [5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,7,2,1,5,6,4] => [5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,7,2,1,6,4,5] => [5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[3,7,2,1,6,5,4] => [5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[3,7,2,5,1,6,4] => [5,1,6,3,7,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,7,2,6,4,5,1] => [5,1,6,2,4,3,7] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[3,7,5,1,4,2,6] => [5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,7,5,1,4,6,2] => [5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,7,5,1,6,2,4] => [5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[3,7,5,1,6,4,2] => [5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[3,7,5,6,1,4,2] => [5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[3,7,5,6,2,1,4] => [5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[3,7,5,6,2,4,1] => [5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[3,7,6,1,2,4,5] => [5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,7,6,1,2,5,4] => [5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[3,7,6,1,4,2,5] => [5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,7,6,1,4,5,2] => [5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,7,6,1,5,2,4] => [5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[3,7,6,1,5,4,2] => [5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[3,7,6,2,1,4,5] => [5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,7,6,2,1,5,4] => [5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[3,7,6,5,1,2,4] => [5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[3,7,6,5,1,4,2] => [5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[3,7,6,5,2,1,4] => [5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[3,7,6,5,4,1,2] => [5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[3,7,6,5,4,2,1] => [5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,2,3,5,6,7] => [4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,2,3,5,7,6] => [4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,2,3,6,5,7] => [4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,2,3,7,6,5] => [4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,2,6,3,7,5] => [4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[4,1,2,7,5,6,3] => [4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[4,1,3,2,5,6,7] => [4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,3,2,5,7,6] => [4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,3,2,6,5,7] => [4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,3,2,7,6,5] => [4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,1,3,6,2,7,5] => [4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,1,3,7,5,6,2] => [4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,1,6,2,3,7,5] => [4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,1,7,5,6,2,3] => [4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,2,1,3,5,6,7] => [4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,2,1,3,5,7,6] => [4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,2,1,3,6,5,7] => [4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,2,1,3,7,6,5] => [4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[4,2,1,5,3,6,7] => [4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[4,2,1,5,3,7,6] => [4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[4,2,1,6,3,7,5] => [4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[4,2,1,6,5,3,7] => [4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[4,2,1,7,5,6,3] => [4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[4,2,1,7,6,5,3] => [4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[4,2,3,1,6,7,5] => [4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[4,2,3,1,7,5,6] => [4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[4,2,3,5,1,6,7] => [4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,3,5,1,7,6] => [4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,3,5,6,1,7] => [4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,3,5,6,7,1] => [4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,5,7,1,6] => [4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,5,7,6,1] => [4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,3,6,1,5,7] => [4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,3,6,1,7,5] => [4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[4,2,3,6,5,1,7] => [4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,3,6,5,7,1] => [4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,6,7,1,5] => [4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,6,7,5,1] => [4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[4,2,3,7,1,5,6] => [4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,7,1,6,5] => [4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,3,7,5,1,6] => [4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[4,2,3,7,5,6,1] => [4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[4,2,3,7,6,1,5] => [4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,3,7,6,5,1] => [4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,5,1,3,6,7] => [4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,5,1,3,7,6] => [4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,5,6,1,3,7] => [4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,5,6,7,1,3] => [4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,5,7,1,3,6] => [4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,5,7,6,1,3] => [4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,6,1,3,5,7] => [4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,6,1,3,7,5] => [4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[4,2,6,3,1,7,5] => [4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,2,6,3,7,5,1] => [4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[4,2,6,5,1,3,7] => [4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,2,6,5,7,1,3] => [4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,6,7,1,3,5] => [4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,6,7,5,1,3] => [4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[4,2,7,1,3,5,6] => [4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,7,1,3,6,5] => [4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[4,2,7,5,1,3,6] => [4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[4,2,7,5,1,6,3] => [4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[4,2,7,5,6,1,3] => [4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[4,2,7,5,6,3,1] => [4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,2,7,6,1,3,5] => [4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[4,2,7,6,5,1,3] => [4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,3,1,2,5,6,7] => [4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[4,3,1,2,5,7,6] => [4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[4,3,1,2,6,5,7] => [4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[4,3,1,2,7,6,5] => [4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[4,3,1,6,7,5,2] => [4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[4,3,1,7,5,2,6] => [4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[4,3,2,1,5,6,7] => [4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,2,1,5,7,6] => [4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,2,1,6,5,7] => [4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,2,1,7,6,5] => [4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[4,3,2,5,1,6,7] => [4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,2,5,1,7,6] => [4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,2,5,6,1,7] => [4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,2,5,6,7,1] => [4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,5,7,1,6] => [4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,5,7,6,1] => [4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,2,6,1,5,7] => [4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,2,6,5,1,7] => [4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,2,6,5,7,1] => [4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,6,7,1,5] => [4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,7,1,5,6] => [4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,7,1,6,5] => [4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,2,7,6,1,5] => [4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,2,7,6,5,1] => [4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,5,1,2,6,7] => [4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,5,1,2,7,6] => [4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,5,2,1,6,7] => [4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,3,5,2,1,7,6] => [4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,3,5,2,6,1,7] => [4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,3,5,2,6,7,1] => [4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,5,2,7,1,6] => [4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,5,2,7,6,1] => [4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,3,5,6,1,2,7] => [4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,5,6,2,1,7] => [4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,3,5,6,2,7,1] => [4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,5,6,7,1,2] => [4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,5,6,7,2,1] => [4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,5,7,1,2,6] => [4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,5,7,1,6,2] => [4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,5,7,2,1,6] => [4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,5,7,6,1,2] => [4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,5,7,6,2,1] => [4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,3,6,1,2,5,7] => [4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,6,1,5,2,7] => [4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,3,6,2,1,5,7] => [4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,3,6,2,1,7,5] => [4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[4,3,6,2,5,7,1] => [4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,6,2,7,1,5] => [4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,6,2,7,5,1] => [4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,3,6,5,1,2,7] => [4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,6,5,2,1,7] => [4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,3,6,5,2,7,1] => [4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,6,5,7,1,2] => [4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,6,5,7,2,1] => [4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,6,7,1,2,5] => [4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,6,7,1,5,2] => [4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,6,7,2,1,5] => [4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,7,1,2,5,6] => [4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,7,1,2,6,5] => [4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,3,7,1,5,2,6] => [4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,7,1,5,6,2] => [4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,7,1,6,2,5] => [4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,3,7,1,6,5,2] => [4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,3,7,2,1,5,6] => [4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,7,2,1,6,5] => [4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,3,7,5,1,6,2] => [4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,3,7,5,6,2,1] => [4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[4,3,7,6,1,2,5] => [4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,3,7,6,1,5,2] => [4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,3,7,6,2,1,5] => [4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,3,7,6,5,1,2] => [4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,3,7,6,5,2,1] => [4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,5,1,2,3,6,7] => [4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,1,2,3,7,6] => [4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,1,3,2,6,7] => [4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,1,3,2,7,6] => [4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,2,1,3,6,7] => [4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,5,2,1,3,7,6] => [4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,5,2,3,6,1,7] => [4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,2,3,6,7,1] => [4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,2,3,7,1,6] => [4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,2,3,7,6,1] => [4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,2,6,1,3,7] => [4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,2,6,7,1,3] => [4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,2,7,1,3,6] => [4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,2,7,6,1,3] => [4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,3,2,1,6,7] => [4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,3,2,1,7,6] => [4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,5,3,2,6,1,7] => [4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,3,2,6,7,1] => [4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,3,2,7,1,6] => [4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,5,3,2,7,6,1] => [4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,5,3,6,2,1,7] => [4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[4,5,3,6,2,7,1] => [4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,5,3,6,7,2,1] => [4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,5,3,7,1,6,2] => [4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,5,3,7,2,1,6] => [4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,5,3,7,6,2,1] => [4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[4,5,6,1,2,3,7] => [4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,6,1,3,2,7] => [4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,6,2,1,3,7] => [4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,5,6,2,3,7,1] => [4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,5,6,2,7,1,3] => [4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,5,6,3,2,1,7] => [4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,5,6,3,2,7,1] => [4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,5,6,3,7,2,1] => [4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,6,7,1,2,3] => [4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,5,6,7,1,3,2] => [4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,5,6,7,2,1,3] => [4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,5,6,7,3,2,1] => [4,3,2,1,5,6,7] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,5,7,1,2,3,6] => [4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,5,7,1,3,2,6] => [4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,5,7,1,3,6,2] => [4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,5,7,1,6,2,3] => [4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,5,7,1,6,3,2] => [4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,5,7,2,1,3,6] => [4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,5,7,2,1,6,3] => [4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,7,3,2,1,6] => [4,3,1,5,6,7,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,5,7,6,1,2,3] => [4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,7,6,1,3,2] => [4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,5,7,6,2,1,3] => [4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,5,7,6,3,2,1] => [4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,6,1,2,3,5,7] => [4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,6,1,3,2,5,7] => [4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,6,1,3,5,2,7] => [4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,6,1,5,2,3,7] => [4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,6,1,5,3,2,7] => [4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,6,2,1,3,5,7] => [4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,6,2,1,3,7,5] => [4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[4,6,2,1,5,3,7] => [4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[4,6,2,3,5,7,1] => [4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,6,2,3,7,1,5] => [4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,6,2,3,7,5,1] => [4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,6,2,5,3,7,1] => [4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,6,2,5,7,1,3] => [4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,6,2,7,1,3,5] => [4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,6,2,7,1,5,3] => [4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,6,2,7,5,1,3] => [4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,6,3,1,2,7,5] => [4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,6,3,2,1,5,7] => [4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,6,3,2,5,7,1] => [4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,6,3,2,7,1,5] => [4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,6,3,2,7,5,1] => [4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,6,3,5,7,2,1] => [4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,6,3,7,2,1,5] => [4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,6,3,7,5,1,2] => [4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[4,6,5,1,2,3,7] => [4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,6,5,1,3,2,7] => [4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,6,5,2,1,3,7] => [4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,6,5,2,3,7,1] => [4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,5,2,7,1,3] => [4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,5,3,2,1,7] => [4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,6,5,3,2,7,1] => [4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,5,3,7,2,1] => [4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,6,5,7,1,2,3] => [4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,6,5,7,1,3,2] => [4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,6,5,7,2,1,3] => [4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,6,5,7,3,2,1] => [4,2,3,1,5,6,7] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,6,7,1,2,3,5] => [4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,6,7,1,3,2,5] => [4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,6,7,1,3,5,2] => [4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,7,1,5,2,3] => [4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,7,1,5,3,2] => [4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,6,7,2,1,3,5] => [4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,6,7,2,1,5,3] => [4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,6,7,3,2,1,5] => [4,2,1,5,6,7,3] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,6,7,5,2,3,1] => [4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[4,7,1,2,3,5,6] => [4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,7,1,2,3,6,5] => [4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,7,1,3,2,5,6] => [4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,7,1,3,2,6,5] => [4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[4,7,1,3,5,2,6] => [4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,1,3,5,6,2] => [4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,7,1,3,6,2,5] => [4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,7,1,3,6,5,2] => [4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,1,5,2,3,6] => [4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,1,5,3,2,6] => [4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,1,5,3,6,2] => [4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,7,1,5,6,2,3] => [4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,7,1,5,6,3,2] => [4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,7,1,6,2,3,5] => [4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[4,7,1,6,2,5,3] => [4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[4,7,1,6,3,2,5] => [4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[4,7,1,6,5,2,3] => [4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,1,6,5,3,2] => [4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[4,7,2,1,3,5,6] => [4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,7,2,1,3,6,5] => [4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[4,7,2,1,5,3,6] => [4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,7,2,1,5,6,3] => [4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,7,2,1,6,3,5] => [4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,7,2,1,6,5,3] => [4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[4,7,3,2,1,5,6] => [4,1,5,6,7,3,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,7,3,2,1,6,5] => [4,1,5,6,7,2,3] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[4,7,5,1,2,6,3] => [4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[4,7,5,1,3,6,2] => [4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,7,5,1,6,2,3] => [4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,7,5,1,6,3,2] => [4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[4,7,5,2,3,1,6] => [4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[4,7,5,6,2,1,3] => [4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[4,7,5,6,3,1,2] => [4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[4,7,6,1,2,3,5] => [4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,7,6,1,3,2,5] => [4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[4,7,6,1,3,5,2] => [4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,7,6,1,5,2,3] => [4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,7,6,1,5,3,2] => [4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[4,7,6,2,1,3,5] => [4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,7,6,2,1,5,3] => [4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[4,7,6,3,2,1,5] => [4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[4,7,6,5,1,2,3] => [4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,7,6,5,1,3,2] => [4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[4,7,6,5,2,1,3] => [4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[4,7,6,5,3,2,1] => [4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,2,3,4,6,7] => [3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,2,3,4,7,6] => [3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,2,4,3,6,7] => [3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,2,4,3,7,6] => [3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,2,6,4,7,3] => [3,7,6,2,4,1,5] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[5,1,2,6,7,4,3] => [3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[5,1,2,7,3,6,4] => [3,7,6,1,5,2,4] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[5,1,2,7,4,3,6] => [3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[5,1,3,2,4,6,7] => [3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,3,2,4,7,6] => [3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,3,4,2,6,7] => [3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,1,3,4,2,7,6] => [3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,1,3,6,4,7,2] => [3,7,5,2,4,1,6] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[5,1,3,7,2,6,4] => [3,7,5,1,6,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[5,1,4,2,3,6,7] => [3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,1,4,2,3,7,6] => [3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,1,4,3,2,6,7] => [3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,4,3,2,7,6] => [3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,1,6,3,2,7,4] => [3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[5,1,6,3,7,4,2] => [3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[5,1,6,4,7,2,3] => [3,7,2,4,1,6,5] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[5,1,6,4,7,3,2] => [3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[5,1,7,2,3,6,4] => [3,7,1,6,5,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[5,1,7,3,2,6,4] => [3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[5,1,7,4,2,6,3] => [3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[5,1,7,4,6,3,2] => [3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[5,2,1,3,4,6,7] => [3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[5,2,1,3,4,7,6] => [3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[5,2,1,4,3,6,7] => [3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[5,2,1,4,3,7,6] => [3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[5,2,3,4,6,1,7] => [3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,3,4,6,7,1] => [3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,3,4,7,1,6] => [3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,3,4,7,6,1] => [3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,3,6,1,4,7] => [3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,3,6,4,7,1] => [3,6,5,2,4,1,7] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[5,2,3,6,7,1,4] => [3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,3,7,1,4,6] => [3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,3,7,1,6,4] => [3,6,5,1,7,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[5,2,3,7,6,1,4] => [3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,4,3,6,1,7] => [3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,4,3,6,7,1] => [3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,4,3,7,1,6] => [3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,4,3,7,6,1] => [3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,4,6,1,3,7] => [3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,4,6,7,1,3] => [3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,4,7,1,3,6] => [3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,4,7,6,1,3] => [3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,6,1,3,4,7] => [3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,6,1,4,3,7] => [3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,6,4,7,1,3] => [3,6,2,4,1,7,5] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[5,2,6,4,7,3,1] => [3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[5,2,6,7,1,3,4] => [3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,6,7,1,4,3] => [3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,7,1,3,4,6] => [3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,7,1,3,6,4] => [3,6,1,7,5,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[5,2,7,1,4,3,6] => [3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,2,7,3,1,6,4] => [3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[5,2,7,6,1,3,4] => [3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,2,7,6,1,4,3] => [3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,3,1,2,6,7,4] => [3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[5,3,1,2,7,4,6] => [3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[5,3,1,6,4,7,2] => [3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[5,3,1,7,2,6,4] => [3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[5,3,2,1,4,6,7] => [3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,3,2,1,4,7,6] => [3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[5,3,2,4,6,1,7] => [3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,3,2,4,6,7,1] => [3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,3,2,4,7,1,6] => [3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,3,2,4,7,6,1] => [3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,3,2,6,1,4,7] => [3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,3,2,6,7,1,4] => [3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,3,2,7,1,4,6] => [3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[5,3,2,7,6,1,4] => [3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[5,3,4,2,1,6,7] => [3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[5,3,4,2,1,7,6] => [3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[5,3,4,6,2,1,7] => [3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[5,3,4,6,2,7,1] => [3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,4,6,7,2,1] => [3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[5,3,4,7,1,6,2] => [3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,4,7,2,1,6] => [3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[5,3,4,7,6,2,1] => [3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[5,3,6,2,1,4,7] => [3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[5,3,6,2,4,7,1] => [3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,6,2,7,1,4] => [3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,6,4,7,2,1] => [3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[5,3,6,7,2,1,4] => [3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[5,3,7,1,4,6,2] => [3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,7,1,6,2,4] => [3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[5,3,7,2,1,4,6] => [3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[5,3,7,2,1,6,4] => [3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[5,3,7,6,2,1,4] => [3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[5,4,1,2,3,6,7] => [3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,1,2,3,7,6] => [3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,1,3,2,6,7] => [3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,1,3,2,7,6] => [3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,2,1,3,6,7] => [3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,2,1,3,7,6] => [3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[5,4,2,3,6,1,7] => [3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,4,2,3,6,7,1] => [3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,4,2,3,7,1,6] => [3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,4,2,3,7,6,1] => [3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,4,2,6,1,3,7] => [3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,4,2,6,7,1,3] => [3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,4,2,7,1,3,6] => [3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,4,2,7,6,1,3] => [3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,4,3,1,2,6,7] => [3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[5,4,3,1,2,7,6] => [3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[5,4,3,2,1,6,7] => [3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,3,2,1,7,6] => [3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[5,4,3,2,6,1,7] => [3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,3,2,6,7,1] => [3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,3,2,7,1,6] => [3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,3,2,7,6,1] => [3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,3,6,1,2,7] => [3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,3,6,2,1,7] => [3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,4,3,6,2,7,1] => [3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,3,6,7,1,2] => [3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,3,6,7,2,1] => [3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,4,3,7,1,2,6] => [3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,3,7,1,6,2] => [3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,3,7,2,1,6] => [3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,4,3,7,6,1,2] => [3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,3,7,6,2,1] => [3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,4,6,1,2,3,7] => [3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,6,1,3,2,7] => [3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,6,2,1,3,7] => [3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,4,6,2,3,7,1] => [3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,6,2,7,1,3] => [3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,6,3,2,1,7] => [3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,4,6,3,2,7,1] => [3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,4,6,3,7,2,1] => [3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,6,7,1,2,3] => [3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,6,7,1,3,2] => [3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,6,7,2,1,3] => [3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,4,6,7,3,2,1] => [3,4,2,1,5,6,7] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[5,4,7,1,2,3,6] => [3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,7,1,3,2,6] => [3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,4,7,1,3,6,2] => [3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,7,1,6,2,3] => [3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,4,7,1,6,3,2] => [3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,4,7,2,1,3,6] => [3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,4,7,2,1,6,3] => [3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,7,3,2,1,6] => [3,4,1,5,6,7,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[5,4,7,6,1,2,3] => [3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,7,6,1,3,2] => [3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,4,7,6,2,1,3] => [3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,4,7,6,3,2,1] => [3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,6,1,2,3,4,7] => [3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,1,2,4,3,7] => [3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,1,3,2,4,7] => [3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,1,3,4,2,7] => [3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,6,1,4,2,3,7] => [3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,6,1,4,3,2,7] => [3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,2,1,3,4,7] => [3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,6,2,1,4,3,7] => [3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,6,2,3,4,7,1] => [3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,2,3,7,1,4] => [3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,2,4,3,7,1] => [3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,2,4,7,1,3] => [3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,2,7,1,3,4] => [3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,2,7,1,4,3] => [3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,3,2,1,4,7] => [3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,6,3,2,4,7,1] => [3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,6,3,2,7,1,4] => [3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,6,3,2,7,4,1] => [3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[5,6,3,4,7,2,1] => [3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,3,7,2,1,4] => [3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,4,1,7,3,2] => [3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[5,6,4,3,2,1,7] => [3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,4,3,2,7,1] => [3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,6,4,3,7,2,1] => [3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,6,4,7,2,1,3] => [3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[5,6,4,7,2,3,1] => [3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[5,6,4,7,3,1,2] => [3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[5,6,4,7,3,2,1] => [3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[5,6,7,1,2,3,4] => [3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,6,7,1,2,4,3] => [3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,6,7,1,3,2,4] => [3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,6,7,1,3,4,2] => [3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,6,7,1,4,2,3] => [3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,6,7,1,4,3,2] => [3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,6,7,2,1,3,4] => [3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,6,7,2,1,4,3] => [3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,6,7,3,2,1,4] => [3,2,1,5,6,7,4] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[5,6,7,4,3,2,1] => [3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,7,1,2,3,4,6] => [3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,7,1,2,4,3,6] => [3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,7,1,3,2,4,6] => [3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,7,1,3,4,2,6] => [3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,7,1,3,4,6,2] => [3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,3,6,2,4] => [3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,4,2,3,6] => [3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[5,7,1,4,3,2,6] => [3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[5,7,1,4,3,6,2] => [3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,4,6,2,3] => [3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,4,6,3,2] => [3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,7,1,6,2,3,4] => [3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,6,2,4,3] => [3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,1,6,3,2,4] => [3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[5,7,1,6,4,3,2] => [3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[5,7,2,1,3,4,6] => [3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,7,2,1,3,6,4] => [3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[5,7,2,1,4,3,6] => [3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,7,2,1,4,6,3] => [3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,2,1,6,3,4] => [3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,2,1,6,4,3] => [3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,2,3,1,6,4] => [3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[5,7,3,1,2,6,4] => [3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[5,7,3,2,1,4,6] => [3,1,5,6,7,4,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[5,7,3,2,1,6,4] => [3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[5,7,3,2,6,4,1] => [3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[5,7,4,1,6,3,2] => [3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[5,7,4,3,2,1,6] => [3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[5,7,6,1,2,3,4] => [3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,6,1,2,4,3] => [3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,6,1,3,2,4] => [3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,6,1,3,4,2] => [3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,7,6,1,4,2,3] => [3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[5,7,6,1,4,3,2] => [3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[5,7,6,2,1,3,4] => [3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,7,6,2,1,4,3] => [3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,7,6,3,2,1,4] => [3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[5,7,6,4,3,2,1] => [3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,2,3,4,5,7] => [2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,2,3,5,4,7] => [2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,2,4,3,5,7] => [2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,2,5,4,3,7] => [2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,3,2,4,5,7] => [2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,3,2,5,4,7] => [2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,3,4,2,5,7] => [2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[6,1,3,4,2,7,5] => [2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[6,1,3,4,5,2,7] => [2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,3,5,2,4,7] => [2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,3,5,4,2,7] => [2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[6,1,4,2,3,5,7] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[6,1,4,2,3,7,5] => [2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[6,1,4,3,2,5,7] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,1,4,3,5,2,7] => [2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,4,5,2,3,7] => [2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,4,5,3,2,7] => [2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,5,2,3,4,7] => [2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,5,2,4,3,7] => [2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,5,3,2,4,7] => [2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[6,1,5,4,2,3,7] => [2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[6,1,5,4,3,2,7] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,2,1,3,4,5,7] => [2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,2,1,3,4,7,5] => [2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[6,2,1,3,5,4,7] => [2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,2,1,4,3,5,7] => [2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,2,1,4,3,7,5] => [2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[6,2,1,4,5,3,7] => [2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[6,2,1,5,3,4,7] => [2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[6,2,1,5,4,3,7] => [2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,2,3,4,1,7,5] => [2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[6,2,3,4,5,7,1] => [2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,4,7,1,5] => [2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,4,7,5,1] => [2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,2,3,5,4,7,1] => [2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,5,7,1,4] => [2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,7,1,4,5] => [2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,7,1,5,4] => [2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,3,7,5,1,4] => [2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,2,4,1,3,7,5] => [2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[6,2,4,3,5,7,1] => [2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,4,3,7,1,5] => [2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,4,3,7,5,1] => [2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,2,4,5,3,7,1] => [2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,4,5,7,1,3] => [2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,4,7,1,3,5] => [2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,4,7,1,5,3] => [2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,4,7,5,1,3] => [2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,2,5,3,4,7,1] => [2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,5,3,7,1,4] => [2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,5,4,3,7,1] => [2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,5,4,7,1,3] => [2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,5,7,1,3,4] => [2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,5,7,1,4,3] => [2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,7,1,3,4,5] => [2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,7,1,3,5,4] => [2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,7,1,4,3,5] => [2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,7,1,4,5,3] => [2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,7,1,5,3,4] => [2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,2,7,1,5,4,3] => [2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,2,7,5,1,3,4] => [2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,2,7,5,1,4,3] => [2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,3,1,2,4,7,5] => [2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[6,3,1,2,7,5,4] => [2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[6,3,1,4,2,7,5] => [2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[6,3,2,1,4,5,7] => [2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,3,2,1,5,4,7] => [2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[6,3,2,4,5,7,1] => [2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,4,7,1,5] => [2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,4,7,5,1] => [2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,3,2,5,1,7,4] => [2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,3,2,5,4,7,1] => [2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,5,7,1,4] => [2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,5,7,4,1] => [2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[6,3,2,7,1,4,5] => [2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,7,1,5,4] => [2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[6,3,2,7,4,1,5] => [2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[6,3,2,7,4,5,1] => [2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,3,2,7,5,1,4] => [2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[6,3,4,1,2,7,5] => [2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[6,3,4,2,1,7,5] => [2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[6,3,4,2,7,5,1] => [2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[6,3,4,5,7,2,1] => [2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,4,7,2,1,5] => [2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,4,7,5,1,2] => [2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[6,3,5,1,7,4,2] => [2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[6,3,5,4,7,2,1] => [2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,5,7,2,1,4] => [2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,7,2,1,4,5] => [2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,7,2,1,5,4] => [2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,3,7,4,2,5,1] => [2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[6,3,7,5,1,2,4] => [2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[6,3,7,5,1,4,2] => [2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[6,4,1,5,7,3,2] => [2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[6,4,1,7,3,2,5] => [2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[6,4,2,3,1,7,5] => [2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[6,4,2,3,7,5,1] => [2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[6,4,2,7,5,1,3] => [2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[6,4,3,1,7,5,2] => [2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,4,3,2,1,5,7] => [2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,4,3,2,5,7,1] => [2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,4,3,2,7,1,5] => [2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[6,4,3,5,7,2,1] => [2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,4,3,7,2,1,5] => [2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[6,4,5,1,2,7,3] => [2,4,3,7,6,1,5] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[6,4,5,1,3,7,2] => [2,4,3,7,5,1,6] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[6,4,5,1,7,2,3] => [2,4,3,7,1,6,5] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[6,4,5,1,7,3,2] => [2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[6,4,5,2,3,7,1] => [2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[6,4,5,2,7,1,3] => [2,4,3,6,1,7,5] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[6,4,5,2,7,3,1] => [2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[6,4,5,3,1,7,2] => [2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[6,4,5,3,7,2,1] => [2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[6,4,5,7,2,1,3] => [2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[6,4,5,7,2,3,1] => [2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[6,4,5,7,3,1,2] => [2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[6,4,5,7,3,2,1] => [2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[6,4,7,1,3,5,2] => [2,4,1,7,5,3,6] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[6,4,7,1,5,2,3] => [2,4,1,7,3,6,5] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[6,4,7,2,1,3,5] => [2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[6,4,7,2,1,5,3] => [2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[6,4,7,2,3,1,5] => [2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[6,4,7,2,3,5,1] => [2,4,1,6,5,3,7] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[6,4,7,2,5,1,3] => [2,4,1,6,3,7,5] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[6,4,7,2,5,3,1] => [2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[6,4,7,3,1,2,5] => [2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[6,4,7,3,1,5,2] => [2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[6,4,7,3,2,1,5] => [2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[6,4,7,3,2,5,1] => [2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[6,4,7,3,5,1,2] => [2,4,1,5,3,7,6] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[6,4,7,5,2,3,1] => [2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,5,1,2,3,4,7] => [2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[6,5,1,2,4,3,7] => [2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[6,5,1,2,7,4,3] => [2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[6,5,1,3,2,4,7] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[6,5,1,3,4,2,7] => [2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,5,1,4,2,3,7] => [2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[6,5,1,4,3,2,7] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[6,5,2,1,3,4,7] => [2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[6,5,2,1,4,3,7] => [2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[6,5,2,3,4,7,1] => [2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,2,3,7,1,4] => [2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,2,4,3,7,1] => [2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,2,4,7,1,3] => [2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,2,7,1,3,4] => [2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,2,7,1,4,3] => [2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,3,1,2,7,4] => [2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[6,5,3,2,1,4,7] => [2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[6,5,3,2,4,7,1] => [2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,3,2,7,1,4] => [2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,5,3,4,2,1,7] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[6,5,3,4,7,2,1] => [2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[6,5,3,7,2,1,4] => [2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[6,5,4,1,2,3,7] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[6,5,4,1,3,2,7] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[6,5,4,2,1,3,7] => [2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[6,5,4,2,3,7,1] => [2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,5,4,2,7,1,3] => [2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,5,4,3,1,2,7] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,5,4,3,2,1,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[6,5,4,3,2,7,1] => [2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,4,3,7,1,2] => [2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,4,3,7,2,1] => [2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,5,4,7,1,2,3] => [2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,4,7,1,3,2] => [2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,4,7,2,1,3] => [2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,5,4,7,3,2,1] => [2,3,4,1,5,6,7] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[6,5,7,1,2,3,4] => [2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,7,1,2,4,3] => [2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,7,1,3,2,4] => [2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,7,1,3,4,2] => [2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,5,7,1,4,2,3] => [2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,5,7,1,4,3,2] => [2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,5,7,2,1,3,4] => [2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,5,7,2,1,4,3] => [2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,5,7,3,2,1,4] => [2,3,1,5,6,7,4] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[6,5,7,4,3,2,1] => [2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,1,2,3,4,5] => [2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,2,3,5,4] => [2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,2,4,3,5] => [2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,2,5,4,3] => [2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,3,2,4,5] => [2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,3,2,5,4] => [2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,3,4,2,5] => [2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,7,1,3,4,5,2] => [2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,3,5,2,4] => [2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,3,5,4,2] => [2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,7,1,4,2,3,5] => [2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,7,1,4,3,2,5] => [2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,1,4,3,5,2] => [2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,4,5,2,3] => [2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,4,5,3,2] => [2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,5,2,3,4] => [2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,5,2,4,3] => [2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,5,3,2,4] => [2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[6,7,1,5,4,2,3] => [2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[6,7,1,5,4,3,2] => [2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[6,7,2,1,3,4,5] => [2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,2,1,3,5,4] => [2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,2,1,4,3,5] => [2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,2,1,4,5,3] => [2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[6,7,2,1,5,3,4] => [2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[6,7,2,1,5,4,3] => [2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,3,2,1,4,5] => [2,1,5,6,7,4,3] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[6,7,3,2,1,5,4] => [2,1,5,6,7,3,4] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[6,7,4,3,2,1,5] => [2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[6,7,4,3,5,1,2] => [2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[6,7,4,5,3,1,2] => [2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[6,7,5,1,3,4,2] => [2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[6,7,5,1,4,2,3] => [2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[6,7,5,2,3,1,4] => [2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,7,5,2,4,3,1] => [2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[6,7,5,4,3,2,1] => [2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,3,4,6,5] => [1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,3,5,4,6] => [1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,3,6,5,4] => [1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,4,3,5,6] => [1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,4,3,6,5] => [1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,5,4,3,6] => [1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,2,6,5,4,3] => [1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,3,2,4,5,6] => [1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,3,2,4,6,5] => [1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,3,2,5,4,6] => [1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,3,2,6,5,4] => [1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,3,4,2,5,6] => [1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,3,4,2,6,5] => [1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,3,4,5,2,6] => [1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,3,4,5,6,2] => [1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,4,6,2,5] => [1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,4,6,5,2] => [1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,3,5,2,4,6] => [1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,3,5,2,6,4] => [1,7,5,3,6,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[7,1,3,5,4,2,6] => [1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,3,5,4,6,2] => [1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,5,6,2,4] => [1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,6,2,4,5] => [1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,6,2,5,4] => [1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,3,6,4,5,2] => [1,7,5,2,4,3,6] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[7,1,3,6,5,2,4] => [1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,3,6,5,4,2] => [1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,4,2,3,5,6] => [1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,4,2,3,6,5] => [1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,4,3,2,5,6] => [1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,4,3,2,6,5] => [1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,4,3,5,2,6] => [1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,4,3,5,6,2] => [1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,4,3,6,2,5] => [1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,4,3,6,5,2] => [1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,4,5,2,3,6] => [1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,4,5,3,2,6] => [1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,4,5,3,6,2] => [1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,4,5,6,2,3] => [1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,4,5,6,3,2] => [1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,4,6,2,3,5] => [1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,4,6,2,5,3] => [1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,4,6,3,2,5] => [1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,4,6,5,2,3] => [1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,4,6,5,3,2] => [1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,5,2,3,4,6] => [1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,5,2,3,6,4] => [1,7,3,6,5,2,4] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[7,1,5,2,4,3,6] => [1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,5,3,2,4,6] => [1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,5,3,4,6,2] => [1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,5,3,6,2,4] => [1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,5,4,2,3,6] => [1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,5,4,3,2,6] => [1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,1,5,4,3,6,2] => [1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,5,4,6,2,3] => [1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,5,4,6,3,2] => [1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,5,6,2,3,4] => [1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,5,6,2,4,3] => [1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,5,6,3,2,4] => [1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,5,6,4,3,2] => [1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,2,3,4,5] => [1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,2,3,5,4] => [1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,2,4,3,5] => [1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,2,4,5,3] => [1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,6,2,5,3,4] => [1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,1,6,2,5,4,3] => [1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,3,2,4,5] => [1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,6,3,2,5,4] => [1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 2
[7,1,6,4,3,2,5] => [1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 2
[7,1,6,4,5,2,3] => [1,7,2,4,3,6,5] => [1,7,2,4,3,6,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
[7,1,6,5,2,3,4] => [1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,6,5,2,4,3] => [1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,6,5,3,2,4] => [1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
[7,1,6,5,4,2,3] => [1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 2
[7,1,6,5,4,3,2] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,2,1,3,4,5,6] => [1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,3,4,6,5] => [1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,3,5,4,6] => [1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,3,5,6,4] => [1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[7,2,1,3,6,4,5] => [1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[7,2,1,3,6,5,4] => [1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,4,3,5,6] => [1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,4,3,6,5] => [1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,4,5,3,6] => [1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[7,2,1,4,5,6,3] => [1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,4,6,3,5] => [1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,4,6,5,3] => [1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[7,2,1,5,3,4,6] => [1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[7,2,1,5,3,6,4] => [1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[7,2,1,5,4,3,6] => [1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,1,5,4,6,3] => [1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,5,6,3,4] => [1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,5,6,4,3] => [1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,6,3,4,5] => [1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,6,3,5,4] => [1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,6,4,3,5] => [1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,2,1,6,4,5,3] => [1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
[7,2,1,6,5,3,4] => [1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
[7,2,1,6,5,4,3] => [1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,2,3,1,5,6,4] => [1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[7,2,3,1,6,4,5] => [1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[7,2,3,5,1,6,4] => [1,6,5,3,7,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[7,2,3,6,4,5,1] => [1,6,5,2,4,3,7] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[7,2,5,1,3,6,4] => [1,6,3,7,5,2,4] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[7,2,5,3,1,6,4] => [1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[7,2,6,4,5,1,3] => [1,6,2,4,3,7,5] => [1,6,2,4,3,7,5] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 2
[7,2,6,4,5,3,1] => [1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 2
[7,3,1,2,5,6,4] => [1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[7,3,1,2,6,4,5] => [1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[7,3,1,5,2,6,4] => [1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[7,3,1,6,4,5,2] => [1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
[7,3,2,1,4,5,6] => [1,5,6,7,4,3,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[7,3,2,1,4,6,5] => [1,5,6,7,4,2,3] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[7,3,2,1,5,4,6] => [1,5,6,7,3,4,2] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[7,3,2,1,5,6,4] => [1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[7,3,2,1,6,4,5] => [1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 2
[7,3,2,1,6,5,4] => [1,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 2
[7,3,2,5,1,6,4] => [1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[7,3,2,5,6,4,1] => [1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[7,3,2,6,4,1,5] => [1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[7,3,2,6,4,5,1] => [1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
[7,3,5,1,2,6,4] => [1,5,3,7,6,2,4] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[7,3,6,4,5,1,2] => [1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2
[7,4,1,5,6,3,2] => [1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[7,4,1,6,3,2,5] => [1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
[7,4,2,5,1,6,3] => [1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[7,4,2,6,3,5,1] => [1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2
[7,4,3,2,1,5,6] => [1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,4,3,2,1,6,5] => [1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 2
[7,4,3,5,1,2,6] => [1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[7,4,3,6,5,1,2] => [1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 2
[7,4,5,1,6,3,2] => [1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,4,5,3,1,2,6] => [1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[7,4,6,3,2,5,1] => [1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,4,6,5,3,1,2] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[7,5,1,2,4,6,3] => [1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[7,5,1,2,6,3,4] => [1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[7,5,1,3,4,2,6] => [1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[7,5,1,3,4,6,2] => [1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,3,6,2,4] => [1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,3,6,4,2] => [1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[7,5,1,4,2,3,6] => [1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[7,5,1,4,2,6,3] => [1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[7,5,1,4,3,6,2] => [1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,4,6,2,3] => [1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,4,6,3,2] => [1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,6,2,3,4] => [1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,6,2,4,3] => [1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,6,3,2,4] => [1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
[7,5,1,6,3,4,2] => [1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 2
[7,5,1,6,4,2,3] => [1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 2
[7,5,2,3,1,4,6] => [1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,5,2,3,1,6,4] => [1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,5,2,4,3,1,6] => [1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,5,2,6,4,3,1] => [1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 2
[7,5,4,3,2,1,6] => [1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
[7,5,4,6,3,1,2] => [1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[7,5,6,1,3,4,2] => [1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[7,5,6,1,4,2,3] => [1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2
[7,5,6,2,1,3,4] => [1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[7,5,6,2,1,4,3] => [1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 2
[7,5,6,2,3,4,1] => [1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[7,5,6,2,4,1,3] => [1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[7,5,6,3,1,2,4] => [1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[7,5,6,3,1,4,2] => [1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[7,5,6,3,4,1,2] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[7,5,6,3,4,2,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[7,6,1,2,3,4,5] => [1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,2,3,5,4] => [1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,2,4,3,5] => [1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,2,5,4,3] => [1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,3,2,4,5] => [1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,3,2,5,4] => [1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,3,4,2,5] => [1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[7,6,1,3,4,5,2] => [1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,3,5,2,4] => [1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,3,5,4,2] => [1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[7,6,1,4,2,3,5] => [1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[7,6,1,4,3,2,5] => [1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,1,4,3,5,2] => [1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,4,5,2,3] => [1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,4,5,3,2] => [1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,5,2,3,4] => [1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,5,2,4,3] => [1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,5,3,2,4] => [1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 2
[7,6,1,5,4,2,3] => [1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 2
[7,6,1,5,4,3,2] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,2,1,3,4,5] => [1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,2,1,3,5,4] => [1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,2,1,4,3,5] => [1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,2,1,4,5,3] => [1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[7,6,2,1,5,3,4] => [1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 2
[7,6,2,1,5,4,3] => [1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,3,2,1,4,5] => [1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,3,2,1,5,4] => [1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 2
[7,6,4,3,2,1,5] => [1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 2
[7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[7,6,5,1,2,4,3] => [1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[7,6,5,1,3,2,4] => [1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[7,6,5,1,3,4,2] => [1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,6,5,1,4,2,3] => [1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 2
[7,6,5,1,4,3,2] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[7,6,5,2,1,3,4] => [1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[7,6,5,2,1,4,3] => [1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 2
[7,6,5,3,2,1,4] => [1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
[7,6,5,3,4,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[7,6,5,4,1,2,3] => [1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[7,6,5,4,1,3,2] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[7,6,5,4,2,1,3] => [1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,2 8,16 16,104 32,688
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 16\ q^{2}$
$F_{5} = 16\ q + 104\ q^{2}$
$F_{6} = 32\ q + 688\ q^{2}$
Description
The order dimension or Dushnik-Miller dimension of a poset.
This is the minimal number of linear orderings whose intersection is the given poset.
This is the minimal number of linear orderings whose intersection is the given poset.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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