Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Mp00206: Posets —antichains of maximal size⟶ Lattices
St001875: Lattices ⟶ ℤ
Values
[2,3,1,4] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => 3
[2,4,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => 3
[3,1,2,4] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => 3
[3,1,4,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => 3
[3,4,1,2] => [3,4,1,2] => ([(0,3),(1,2)],4) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[3,4,2,5,1] => [3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[3,5,2,4,1] => [3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[4,2,3,5,1] => [4,2,5,3,1] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[4,2,5,3,1] => [4,2,5,3,1] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[4,5,2,3,1] => [4,5,2,3,1] => ([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,5,3,1,2] => [4,5,3,1,2] => ([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,2,3,1,4] => [5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[5,2,4,1,3] => [5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[5,3,1,2,4] => [5,3,1,4,2] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[5,3,1,4,2] => [5,3,1,4,2] => ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => 3
[5,3,4,1,2] => [5,3,4,1,2] => ([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[3,2,4,5,1,6] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,2,4,6,1,5] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,2,5,4,1,6] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,2,5,6,1,4] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,2,6,4,1,5] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,2,6,5,1,4] => [3,2,6,5,1,4] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,4,2,1,5,6] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,4,2,1,6,5] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,4,2,5,1,6] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[3,4,2,6,1,5] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[3,5,2,1,4,6] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,5,2,1,6,4] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,5,2,4,1,6] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[3,5,2,6,1,4] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[3,6,2,1,4,5] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,6,2,1,5,4] => [3,6,2,1,5,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[3,6,2,4,1,5] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[3,6,2,5,1,4] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[4,2,3,5,1,6] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,2,3,6,1,5] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,2,5,3,1,6] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,2,5,6,1,3] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,2,6,3,1,5] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,2,6,5,1,3] => [4,2,6,5,1,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,2,5,6] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,2,6,5] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,5,2,6] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,5,6,2] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,6,2,5] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,1,6,5,2] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,5,1,2,6] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,5,1,6,2] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,5,6,1,2] => [4,3,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,3,6,1,2,5] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,6,1,5,2] => [4,3,6,1,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,3,6,5,1,2] => [4,3,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,5,2,1,3,6] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,5,2,1,6,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,5,2,3,1,6] => [4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[4,5,2,6,1,3] => [4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[4,5,3,1,2,6] => [4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[4,5,3,1,6,2] => [4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[4,5,3,6,1,2] => [4,6,3,5,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[4,5,3,6,2,1] => [4,6,3,5,2,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[4,6,2,1,3,5] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,6,2,1,5,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[4,6,2,3,1,5] => [4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[4,6,2,5,1,3] => [4,6,2,5,1,3] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[4,6,3,1,2,5] => [4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[4,6,3,1,5,2] => [4,6,3,1,5,2] => ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[4,6,3,5,1,2] => [4,6,3,5,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[4,6,3,5,2,1] => [4,6,3,5,2,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,3,4,6] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,3,6,4] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,4,3,6] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,4,6,3] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,6,3,4] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,1,6,4,3] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,3,1,4,6] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,3,1,6,4] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,3,4,1,6] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,2,3,6,1,4] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,2,4,1,3,6] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,4,1,6,3] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,4,3,1,6] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,2,4,6,1,3] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,2,6,1,3,4] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,6,1,4,3] => [5,2,6,1,4,3] => ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => 3
[5,2,6,3,1,4] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,2,6,4,1,3] => [5,2,6,4,1,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,3,1,2,4,6] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,1,2,6,4] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,1,4,2,6] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,1,4,6,2] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,1,6,2,4] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,1,6,4,2] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,4,1,2,6] => [5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,4,1,6,2] => [5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,4,6,1,2] => [5,3,6,4,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,4,6,2,1] => [5,3,6,4,2,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[5,3,6,1,2,4] => [5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,6,1,4,2] => [5,3,6,1,4,2] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => 4
[5,3,6,4,1,2] => [5,3,6,4,1,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,6,4,2,1] => [5,3,6,4,2,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[5,6,2,1,3,4] => [5,6,2,1,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
>>> Load all 874 entries. <<<[5,6,2,1,4,3] => [5,6,2,1,4,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,2,3,1,4] => [5,6,2,4,1,3] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,2,4,1,3] => [5,6,2,4,1,3] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,3,1,2,4] => [5,6,3,1,4,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,3,1,4,2] => [5,6,3,1,4,2] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,3,4,2,1] => [5,6,3,4,2,1] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,2,3,1] => [5,6,4,2,3,1] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,3,1,2] => [5,6,4,3,1,2] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,4,2,5,1] => [6,3,5,2,4,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,3,5,2,4,1] => [6,3,5,2,4,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,4,2,3,5,1] => [6,4,2,5,3,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,4,2,5,3,1] => [6,4,2,5,3,1] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,4,5,2,3,1] => [6,4,5,2,3,1] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,5,3,1,2] => [6,4,5,3,1,2] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,2,3,1,4] => [6,5,2,4,1,3] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,5,2,4,1,3] => [6,5,2,4,1,3] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,2,4] => [6,5,3,1,4,2] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,4,2] => [6,5,3,1,4,2] => ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => 3
[6,5,3,4,1,2] => [6,5,3,4,1,2] => ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[3,4,5,2,6,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,4,5,2,7,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,4,6,2,5,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,4,6,2,7,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,4,7,2,5,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,4,7,2,6,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,4,2,6,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,4,2,7,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,6,2,4,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,6,2,7,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,7,2,4,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,5,7,2,6,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,4,2,5,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,4,2,7,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,5,2,4,1,7] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,5,2,7,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,7,2,4,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,6,7,2,5,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,4,2,5,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,4,2,6,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,5,2,4,1,6] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,5,2,6,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,6,2,4,1,5] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[3,7,6,2,5,1,4] => [3,7,6,2,5,1,4] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,5,6,2,7,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,5,7,2,6,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,6,5,2,7,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,6,7,2,5,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,7,5,2,6,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,3,7,6,2,5,1] => [4,3,7,6,2,5,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,3,2,6,7,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,3,2,7,6,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,3,6,2,1,7] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,3,6,2,7,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,5,3,7,2,1,6] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,3,7,2,6,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,5,6,2,3,1,7] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,6,2,7,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,6,3,1,2,7] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,6,3,1,7,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,6,3,7,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,5,7,2,3,1,6] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,7,2,6,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,7,3,1,2,6] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,7,3,1,6,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,5,7,3,6,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,6,3,2,5,7,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,3,2,7,5,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,3,5,2,1,7] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,3,5,2,7,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,6,3,7,2,1,5] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,3,7,2,5,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,6,5,2,3,1,7] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,5,2,7,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,5,3,1,2,7] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,5,3,1,7,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,5,3,7,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,6,7,2,3,1,5] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,7,2,5,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,7,3,1,2,5] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,7,3,1,5,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,6,7,3,5,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,7,3,2,5,6,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,3,2,6,5,1] => [4,7,3,2,6,5,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,3,5,2,1,6] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,3,5,2,6,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,7,3,6,2,1,5] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,3,6,2,5,1] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[4,7,5,2,3,1,6] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,5,2,6,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,5,3,1,2,6] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,5,3,1,6,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,5,3,6,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[4,7,6,2,3,1,5] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,6,2,5,1,3] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,6,3,1,2,5] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,6,3,1,5,2] => [4,7,6,3,1,5,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[4,7,6,3,5,1,2] => [4,7,6,3,5,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,3,4,6,2,7,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,3,4,7,2,6,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,3,6,4,2,7,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,3,6,7,2,4,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,3,7,4,2,6,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,3,7,6,2,4,1] => [5,3,7,6,2,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,3,6,7,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,3,7,6,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,6,3,7,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,6,7,3,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,7,3,6,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,2,7,6,3,1] => [5,4,2,7,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,6,2,3,7,1] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,6,2,7,3,1] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,6,7,2,3,1] => [5,4,7,6,2,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,6,7,3,1,2] => [5,4,7,6,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,7,2,3,6,1] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,7,2,6,3,1] => [5,4,7,2,6,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,4,7,6,2,3,1] => [5,4,7,6,2,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,7,6,3,1,2] => [5,4,7,6,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,3,2,4,7,1] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,7,4,1] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,3,4,2,1,7] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[5,6,3,4,2,7,1] => [5,7,3,6,2,4,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[5,6,3,7,2,1,4] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[5,6,3,7,2,4,1] => [5,7,3,6,2,4,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[5,6,4,1,2,3,7] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,1,2,7,3] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,1,3,2,7] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,1,3,7,2] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,1,7,2,3] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,1,7,3,2] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,2,3,7,1] => [5,7,4,2,6,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,6,4,2,7,3,1] => [5,7,4,2,6,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,6,4,3,1,2,7] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,3,1,7,2] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,3,7,1,2] => [5,7,4,3,6,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,7,1,2,3] => [5,7,4,6,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,7,1,3,2] => [5,7,4,6,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,7,2,1,3] => [5,7,4,6,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,4,7,2,3,1] => [5,7,4,6,2,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,4,7,3,1,2] => [5,7,4,6,3,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,6,4,7,3,2,1] => [5,7,4,6,3,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[5,6,7,2,3,1,4] => [5,7,6,2,4,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,7,2,4,1,3] => [5,7,6,2,4,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,7,3,1,2,4] => [5,7,6,3,1,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,7,3,1,4,2] => [5,7,6,3,1,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,6,7,3,4,1,2] => [5,7,6,3,4,1,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,7,3,2,4,6,1] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,3,2,6,4,1] => [5,7,3,2,6,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,3,4,2,1,6] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[5,7,3,4,2,6,1] => [5,7,3,6,2,4,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[5,7,3,6,2,1,4] => [5,7,3,6,2,1,4] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[5,7,3,6,2,4,1] => [5,7,3,6,2,4,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[5,7,4,1,2,3,6] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,1,2,6,3] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,1,3,2,6] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,1,3,6,2] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,1,6,2,3] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,1,6,3,2] => [5,7,4,1,6,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,2,3,6,1] => [5,7,4,2,6,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,7,4,2,6,3,1] => [5,7,4,2,6,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,7,4,3,1,2,6] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,7,4,3,1,6,2] => [5,7,4,3,1,6,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,7,4,3,6,1,2] => [5,7,4,3,6,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,7,4,6,1,2,3] => [5,7,4,6,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,6,1,3,2] => [5,7,4,6,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,6,2,1,3] => [5,7,4,6,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,4,6,2,3,1] => [5,7,4,6,2,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,7,4,6,3,1,2] => [5,7,4,6,3,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,7,4,6,3,2,1] => [5,7,4,6,3,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[5,7,6,2,3,1,4] => [5,7,6,2,4,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,6,2,4,1,3] => [5,7,6,2,4,1,3] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,6,3,1,2,4] => [5,7,6,3,1,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,6,3,1,4,2] => [5,7,6,3,1,4,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[5,7,6,3,4,1,2] => [5,7,6,3,4,1,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,4,5,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,4,7,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,5,4,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,5,7,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,7,4,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,3,7,5,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,3,5,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,3,7,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,5,3,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,5,7,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,7,3,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,4,7,5,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,3,4,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,3,7,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,4,3,1,7] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,4,7,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,7,3,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,5,7,4,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,3,4,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,3,5,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,4,3,1,5] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,4,5,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,5,3,1,4] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,2,7,5,4,1,3] => [6,2,7,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,2,4,5,7,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,2,4,7,5,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,2,5,4,7,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,2,5,7,4,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,2,7,4,5,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,2,7,5,4,1] => [6,3,2,7,5,4,1] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,4,2,5,7,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,4,2,7,5,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,4,5,2,1,7] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,4,5,2,7,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,4,5,7,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,4,7,2,1,5] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,4,7,2,5,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,4,7,5,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,5,2,4,7,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,5,2,7,4,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,5,4,2,1,7] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,5,4,2,7,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,5,4,7,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,5,7,2,1,4] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,5,7,2,4,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,5,7,4,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,7,2,4,5,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,7,2,5,4,1] => [6,3,7,2,5,4,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,7,4,2,1,5] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,7,4,2,5,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,7,4,5,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,3,7,5,2,1,4] => [6,3,7,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,3,7,5,2,4,1] => [6,3,7,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,3,7,5,4,1,2] => [6,3,7,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,1,2,3,5,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,2,3,7,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,2,5,3,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,2,5,7,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,2,7,3,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,2,7,5,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,2,5,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,2,7,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,5,2,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,5,7,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,7,2,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,3,7,5,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,2,3,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,2,7,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,3,2,7] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,3,7,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,7,2,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,5,7,3,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,2,3,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,2,5,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,3,2,5] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,3,5,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,5,2,3] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,1,7,5,3,2] => [6,4,1,7,5,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,2,3,5,7,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,2,3,7,5,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,2,5,3,7,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,2,5,7,3,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,2,7,3,5,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,2,7,5,3,1] => [6,4,2,7,5,3,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,5,1,2,3,7] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,1,2,7,3] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,1,3,2,7] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,1,3,7,2] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,1,7,2,3] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,1,7,3,2] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,2,3,7,1] => [6,4,7,2,5,3,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,5,2,7,3,1] => [6,4,7,2,5,3,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,5,7,1,2,3] => [6,4,7,5,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,7,1,3,2] => [6,4,7,5,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,7,2,1,3] => [6,4,7,5,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,5,7,2,3,1] => [6,4,7,5,2,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,4,5,7,3,1,2] => [6,4,7,5,3,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,4,5,7,3,2,1] => [6,4,7,5,3,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,2,3,5] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,2,5,3] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,3,2,5] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,3,5,2] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,5,2,3] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,1,5,3,2] => [6,4,7,1,5,3,2] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,2,3,5,1] => [6,4,7,2,5,3,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,7,2,5,3,1] => [6,4,7,2,5,3,1] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[6,4,7,5,1,2,3] => [6,4,7,5,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,5,1,3,2] => [6,4,7,5,1,3,2] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,5,2,1,3] => [6,4,7,5,2,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,4,7,5,2,3,1] => [6,4,7,5,2,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,4,7,5,3,1,2] => [6,4,7,5,3,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,4,7,5,3,2,1] => [6,4,7,5,3,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,3,4,1,7] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,3,7,1,4] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,4,3,1,7] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,4,7,1,3] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,3,1,4] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,4,1,3] => [6,5,2,7,4,1,3] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,2,4,7] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,2,7,4] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,4,2,7] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,4,7,2] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,7,2,4] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,1,7,4,2] => [6,5,3,1,7,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,4,1,2,7] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,4,1,7,2] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,4,7,1,2] => [6,5,3,7,4,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,3,7,1,2,4] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,7,1,4,2] => [6,5,3,7,1,4,2] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => 3
[6,5,3,7,4,1,2] => [6,5,3,7,4,1,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,7,2,3,1,4] => [6,5,7,2,4,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,7,2,4,1,3] => [6,5,7,2,4,1,3] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,7,3,1,2,4] => [6,5,7,3,1,4,2] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,7,3,1,4,2] => [6,5,7,3,1,4,2] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[6,5,7,3,4,1,2] => [6,5,7,3,4,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,3,4,1,5] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,3,5,1,4] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,4,3,1,5] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,4,5,1,3] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,5,3,1,4] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,2,5,4,1,3] => [6,7,2,5,4,1,3] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,2,4,5,1] => [6,7,3,2,5,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,2,5,4,1] => [6,7,3,2,5,4,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,4,2,1,5] => [6,7,3,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,4,2,5,1] => [6,7,3,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,3,4,5,1,2] => [6,7,3,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,5,2,1,4] => [6,7,3,5,2,1,4] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,3,5,2,4,1] => [6,7,3,5,2,4,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,3,5,4,1,2] => [6,7,3,5,4,1,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,2,3,5] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,2,5,3] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,3,2,5] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,3,5,2] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,5,2,3] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,1,5,3,2] => [6,7,4,1,5,3,2] => ([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,2,3,5,1] => [6,7,4,2,5,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,4,2,5,3,1] => [6,7,4,2,5,3,1] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,4,3,1,2,5] => [6,7,4,3,1,5,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,3,1,5,2] => [6,7,4,3,1,5,2] => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,3,5,1,2] => [6,7,4,3,5,1,2] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,5,1,2,3] => [6,7,4,5,1,3,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,5,1,3,2] => [6,7,4,5,1,3,2] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,5,2,1,3] => [6,7,4,5,2,1,3] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,4,5,3,2,1] => [6,7,4,5,3,2,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,2,1,3,4] => [6,7,5,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,2,1,4,3] => [6,7,5,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,2,3,1,4] => [6,7,5,2,4,1,3] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,5,2,4,1,3] => [6,7,5,2,4,1,3] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,5,3,1,2,4] => [6,7,5,3,1,4,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,5,3,1,4,2] => [6,7,5,3,1,4,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,5,3,4,2,1] => [6,7,5,3,4,2,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,4,2,3,1] => [6,7,5,4,2,3,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,4,3,1,2] => [6,7,5,4,3,1,2] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,3,2,4,5,1,6] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,2,4,6,1,5] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,2,5,4,1,6] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,2,5,6,1,4] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,2,6,4,1,5] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,2,6,5,1,4] => [7,3,2,6,5,1,4] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,4,2,1,5,6] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,4,2,1,6,5] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,4,2,5,1,6] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,3,4,2,6,1,5] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,3,5,2,1,4,6] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,5,2,1,6,4] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,5,2,4,1,6] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,3,5,2,6,1,4] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,3,6,2,1,4,5] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,1,5,4] => [7,3,6,2,1,5,4] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,4,1,5] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,3,6,2,5,1,4] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,4,2,3,5,1,6] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,2,3,6,1,5] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,2,5,3,1,6] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,2,5,6,1,3] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,2,6,3,1,5] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,2,6,5,1,3] => [7,4,2,6,5,1,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,2,5,6] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,2,6,5] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,5,2,6] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,5,6,2] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,6,2,5] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,1,6,5,2] => [7,4,3,1,6,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,5,1,2,6] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,5,1,6,2] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,5,6,1,2] => [7,4,3,6,5,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,4,3,6,1,2,5] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,6,1,5,2] => [7,4,3,6,1,5,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,3,6,5,1,2] => [7,4,3,6,5,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,4,5,2,1,3,6] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,5,2,1,6,3] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,5,2,3,1,6] => [7,4,6,2,5,1,3] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,4,5,2,6,1,3] => [7,4,6,2,5,1,3] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,4,5,3,1,2,6] => [7,4,6,3,1,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,4,5,3,1,6,2] => [7,4,6,3,1,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,4,5,3,6,1,2] => [7,4,6,3,5,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,4,5,3,6,2,1] => [7,4,6,3,5,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,1,3,5] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,1,5,3] => [7,4,6,2,1,5,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,3,1,5] => [7,4,6,2,5,1,3] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,4,6,2,5,1,3] => [7,4,6,2,5,1,3] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,4,6,3,1,2,5] => [7,4,6,3,1,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,4,6,3,1,5,2] => [7,4,6,3,1,5,2] => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,4,6,3,5,1,2] => [7,4,6,3,5,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,4,6,3,5,2,1] => [7,4,6,3,5,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,3,4,6] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,3,6,4] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,4,3,6] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,4,6,3] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,6,3,4] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,1,6,4,3] => [7,5,2,1,6,4,3] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,3,1,4,6] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,3,1,6,4] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,3,4,1,6] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,2,3,6,1,4] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,2,4,1,3,6] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,4,1,6,3] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,4,3,1,6] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,2,4,6,1,3] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,2,6,1,3,4] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,6,1,4,3] => [7,5,2,6,1,4,3] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,2,6,3,1,4] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,2,6,4,1,3] => [7,5,2,6,4,1,3] => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,5,3,1,2,4,6] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,1,2,6,4] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,1,4,2,6] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,1,4,6,2] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,1,6,2,4] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,1,6,4,2] => [7,5,3,1,6,4,2] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,4,1,2,6] => [7,5,3,6,1,4,2] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,4,1,6,2] => [7,5,3,6,1,4,2] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,4,6,1,2] => [7,5,3,6,4,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,3,4,6,2,1] => [7,5,3,6,4,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,3,6,1,2,4] => [7,5,3,6,1,4,2] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,6,1,4,2] => [7,5,3,6,1,4,2] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => 4
[7,5,3,6,4,1,2] => [7,5,3,6,4,1,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,3,6,4,2,1] => [7,5,3,6,4,2,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,5,6,2,1,3,4] => [7,5,6,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,5,6,2,1,4,3] => [7,5,6,2,1,4,3] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,5,6,2,3,1,4] => [7,5,6,2,4,1,3] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,6,2,4,1,3] => [7,5,6,2,4,1,3] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,6,3,1,2,4] => [7,5,6,3,1,4,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,6,3,1,4,2] => [7,5,6,3,1,4,2] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,5,6,3,4,2,1] => [7,5,6,3,4,2,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,5,6,4,2,3,1] => [7,5,6,4,2,3,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,5,6,4,3,1,2] => [7,5,6,4,3,1,2] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,6,3,4,2,5,1] => [7,6,3,5,2,4,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,3,5,2,4,1] => [7,6,3,5,2,4,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,4,2,3,5,1] => [7,6,4,2,5,3,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,4,2,5,3,1] => [7,6,4,2,5,3,1] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,4,5,2,3,1] => [7,6,4,5,2,3,1] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,6,4,5,3,1,2] => [7,6,4,5,3,1,2] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,6,5,2,3,1,4] => [7,6,5,2,4,1,3] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,5,2,4,1,3] => [7,6,5,2,4,1,3] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,5,3,1,2,4] => [7,6,5,3,1,4,2] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,5,3,1,4,2] => [7,6,5,3,1,4,2] => ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => 3
[7,6,5,3,4,1,2] => [7,6,5,3,4,1,2] => ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,5,6,4,3,2,1] => [7,8,5,6,4,3,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,7,5,8,4,3,2,1] => [6,8,5,7,4,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,5,6,8,4,3,2,1] => [7,5,8,6,4,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,6,4,5,3,2,1] => [7,8,6,4,5,3,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,6,7,4,5,3,2,1] => [8,6,7,4,5,3,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,5,6,4,7,3,2,1] => [8,5,7,4,6,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[8,6,4,5,7,3,2,1] => [8,6,4,7,5,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,6,5,3,4,2,1] => [7,8,6,5,3,4,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,6,7,5,3,4,2,1] => [8,6,7,5,3,4,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,5,6,3,4,2,1] => [8,7,5,6,3,4,2,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,4,5,3,6,2,1] => [8,7,4,6,3,5,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[8,7,5,3,4,6,2,1] => [8,7,5,3,6,4,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,6,5,4,2,3,1] => [7,8,6,5,4,2,3,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,6,7,5,4,2,3,1] => [8,6,7,5,4,2,3,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,5,6,4,2,3,1] => [8,7,5,6,4,2,3,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,6,4,5,2,3,1] => [8,7,6,4,5,2,3,1] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,6,3,4,2,5,1] => [8,7,6,3,5,2,4,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,7,4,2,3,8,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,6,5,4,3,1,2] => [7,8,6,5,4,3,1,2] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,6,7,5,4,3,1,2] => [8,6,7,5,4,3,1,2] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,5,6,4,3,1,2] => [8,7,5,6,4,3,1,2] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,6,4,5,3,1,2] => [8,7,6,4,5,3,1,2] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,6,5,3,4,1,2] => [8,7,6,5,3,4,1,2] => ([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,6,4,3,7,8,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,5,3,4,7,8,1,2] => [6,5,3,8,7,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,4,3,6,7,8,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,7,6,5,2,3,1,4] => [8,7,6,5,2,4,1,3] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[8,7,6,5,3,1,2,4] => [8,7,6,5,3,1,4,2] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,7,8,2,1,3,4] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,4,2,1,5,6] => [7,8,3,6,2,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,8,4,2,3,1,5,6] => [7,8,4,2,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,4,5,6] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[8,5,6,4,1,2,3,7] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,5,2,3,6,1,8] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[4,5,3,6,2,7,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[6,4,2,3,5,7,1,8] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,5,3,1,2,4,6,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[5,6,3,2,4,1,7,8] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,4,3,1,2,7,8] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,4,3,5,1,2,7,8] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,6,5,2,1,8,7] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,5,6,2,1,8,7] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,6,5,2,1,7,8] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,5,4,6,1,8] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,5,4,8,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,4,5,2,3,8,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,6,4,3,1,2,8,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,7,4,3,8,1,2,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,7,4,3,1,8,2,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,8,4,3,1,7,6,2] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,8,4,3,7,1,5,2] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,4,6,2,8,3,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,6,8,4,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,8,6,5,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,4,8,2,6,5,1,3] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,5,8,7,2,1,4,3] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,2,4,1,3,7,8] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,7,1,2,5,8] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,3,4,8] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,8,1,2,5,7] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,8,1,3,4,7] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,5,1,4,8] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,8,2,5,1,4,6] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,8,2,6,1,4,5] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,8,3,7,2,6,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[8,7,6,5,2,4,1,3] => [8,7,6,5,2,4,1,3] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[5,4,3,8,7,6,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,8,3,7,5,1,2] => [6,4,8,3,7,5,1,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,6,5,4] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,4,2,6,1,5,3] => [7,8,4,2,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,7,3,8,5,1,2] => [6,4,8,3,7,5,1,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,7,3,5,8,1,2] => [6,4,8,3,7,5,1,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,3,7,6,8,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,3,7,8,6,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,4,8,3,5,7,1,2] => [6,4,8,3,7,5,1,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,3,8,6,7,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[5,4,3,6,8,7,1,2] => [5,4,3,8,7,6,1,2] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,4,2,5,1,6,3] => [7,8,4,2,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,4,2,5,1,3,6] => [7,8,4,2,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,5,4,6] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,5,6,4] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,7,8,2,1,4,3] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,8,7,2,1,3,4] => [6,5,8,7,2,1,4,3] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,4,2,6,1,3,5] => [7,8,4,2,6,1,5,3] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,6,4,5] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,8,3,2,1,4,6,5] => [7,8,3,2,1,6,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[7,3,8,2,6,1,5,4] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,7,4,3,8,1,5,2] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[7,8,3,4,2,1,6,5] => [7,8,3,6,2,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[8,7,6,3,5,2,4,1] => [8,7,6,3,5,2,4,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,7,4,2,6,3,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,5,7,4,1,6,3,2] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,3,2,6,1,7,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,7,6,2,1,8,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,8,1,7,5,2] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,5,3,1,8,6,4,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[6,5,2,1,7,3,8,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,4,1,8,5] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,7,8,2,1,5,6] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,3,6,2,1,5,4] => [7,8,3,6,2,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,5,2,8,1,7,4,3] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,7,3,5,1,8] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,8,3,4] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,5,1,2,8,7] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,8,7,2,1,6,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,4,3,8,7] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,4,1,8,7] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,7,8,2,1,6,4] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,4,3,7,1,2,5] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,4,3,8,1,5,7,2] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,3,4,8,7,1,2] => [6,5,3,8,7,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,7,8,2,1,4,6] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,8,7,4,3] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,6,3,7,2,5,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[6,5,2,1,8,3,4,7] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,6,7,2,1,8,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,7,6,5,3,1,4,2] => [8,7,6,5,3,1,4,2] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,5,2,4,1,8,6] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,5,1,8,4] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,6,7,2,1,8,4] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,8,4,3] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,5,2,4,3,7,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,4,5,6,3,1,7,2] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,3,2,8,1,6,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,6,4,7,5,3,2,1] => [8,6,4,7,5,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[4,6,3,5,2,7,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,6,3,5,2,8,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,6,3,8,2,5,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,8,3,6,2,5,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,8,3,6,2,7,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,6,3,8,2,7,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,6,3,7,2,8,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,6,2,5,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,6,2,8,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,8,2,6,1,5] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,8,3,7,2,5,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,8,2,5,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,5,2,8,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,7,3,5,2,6,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,5,3,7,2,6,1,8] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,5,3,7,2,8,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,5,3,8,2,7,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,8,3,5,2,7,1,6] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,8,3,5,2,6,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,5,3,8,2,6,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,5,3,6,2,8,1,7] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[4,3,8,5,2,1,6,7] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,4,7,8,3] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,4,8,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,5,2,1,7,8,4,3] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,8,3,7,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,8,7,5,1,3] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,7,1,4,8] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,7,1,8,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,4,3,8,7,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,7,6,2,1,8,4] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,5,2,6,1,4,8] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,8,4,3,7] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,3,2,7,1,6,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,6,8,2,1,5,7] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,5,8,3,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,7,8,3,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,3,8,7,4,1,2] => [6,5,3,8,7,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,8,7,2,1,6,4] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,5,8,6,4,3,2,1] => [7,5,8,6,4,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[8,4,5,7,3,1,6,2] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,5,3,1,4,2,6,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,4,2,8,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,2,8,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,4,8,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,8,4,6,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,8,2,6,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,8,2,4,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,2,4,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,4,2,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,8,4,2,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,8,6,2,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,8,4,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,6,8,2,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,4,8,2,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,4,6,2,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,2,6,4,8] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,2,8,4,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,2,8,6,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,4,8,6,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,4,6,8,2] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,2,6,8,4] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[7,5,3,1,2,4,8,6] => [7,5,3,1,8,6,4,2] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
[6,8,5,7,4,3,2,1] => [6,8,5,7,4,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,5,3,1,8] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,7,4,3,1,8,6,2] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,3,8,6,2,1,4,7] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,5,2,7,4,3,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,4,3,7,6,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[8,5,7,4,1,6,2,3] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,5,7,4,1,2,6,3] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,5,8,6,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[4,3,6,7,2,1,5,8] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,3,7,8,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,7,6,2,1,4,8] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,3,2,6,1,4,7] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,7,1,5,8,2] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,4,3,8] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,3,8,4,7,1,2] => [6,5,3,8,7,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,7,3,2,4,1,8,6] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,5,7,4,6,3,2,1] => [8,5,7,4,6,3,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[6,7,4,3,5,1,8,2] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,4,2,8,5,3,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,6,8,2,1,4,7] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,5,2,4,1,6,8] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,5,6,8,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,6,8,5,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,4,2,8,3,5,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,8,5,1,3] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,6,8,4,2,7,3,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,3,8,4] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,4,3,8,6,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,5,2,8,1,7,3,4] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,7,4,6,3,5,2,1] => [8,7,4,6,3,5,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[8,5,6,4,1,7,2,3] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,6,8,2,1,7,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,7,5,3,6,4,2,1] => [8,7,5,3,6,4,2,1] => ([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,3,7,4,8] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,8,1,4,7] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,4,3,1,2,6,8] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[8,5,7,4,1,2,3,6] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,3,8,5,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,7,5,8,1,3] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,7,5,3,1,8] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,8,1,5,2,7] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,5,3,7,1,8] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,8,4,5,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,8,6,4,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,5,2,6,1,8,4] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,4,2,6,1,8,5] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,5,2,3,4,7,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,6,2,3,8,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,4,3,7,1,5,2,8] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,4,3,6,7,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,7,4,3,6,8,1,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,3,6,4,2,1,7,8] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,7,4,8,3] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,5,2,3,7,4,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,8,7,2,1,4,6] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,8,4,2,6,3,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,8,7,3,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,7,8,5,1,3] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,8,7,2,1,5,6] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,7,1,2,8,5] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,8,1,2,7,5] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,7,1,4,8,3] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,4,7,6,3,1,5,2] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,3,7,8,4,1,2] => [6,5,3,8,7,4,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[7,4,6,2,3,5,1,8] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,4,2,5,7,3,1,8] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,5,2,6,8,1,3] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,8,3,2,7,1,4,6] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,3,8,1,7,2,5] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,6,4,8,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,4,2,7,3,8,1,5] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,8,3,6,2,1,4,5] => [7,8,3,6,2,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[5,8,3,2,4,1,6,7] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,3,4,8,7] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,8,1,4,3,7] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,3,2,4,1,6,8] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,5,3,8,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,5,7,2,1,6,8] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,4,6,5,3,1,7,2] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,8,5,6,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,8,4,3,1,6,7,2] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,7,3,2,6,1,8,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,6,2,8,1,5,4] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,5,8,2,1,7,6] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,4,3,1,8,2,7] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[5,8,3,2,4,1,7,6] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,5,8,2,1,6,7] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,8,2,6,3,1,5] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,2,8,4,6,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[5,6,7,4,2,8,3,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,8,6,2,1,7,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,8,7,3,1,5] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,8,2,5,6,1,3] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,8,5,2,7,3,4,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,8,4,3,1,7,2,6] => [5,8,4,3,1,7,6,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[6,5,2,1,7,3,4,8] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,8,4,7,3] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,3,1,8,7,4] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,8,2,4,1,6,5] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,3,2,8,1,4,6] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,7,5,2,1,6,8] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,6,3,2,8,1,7,4] => [5,8,3,2,7,1,6,4] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,7,5,2,3,8,4,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,3,5,8,1,7] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,4,8,5,1,6] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[8,5,6,4,1,3,2,7] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,4,8,2,3,5,1,6] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,8,3,5,2,1,6,4] => [7,8,3,6,2,1,5,4] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 4
[6,7,5,2,4,8,3,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,8,4,2,1,6,7] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,4,1,3,8,7] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,3,8,4,7] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,1,3,8,7,4] => [6,5,2,1,8,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,3,1,7,8,4] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,7,5,2,8,4,3,1] => [6,8,5,2,7,4,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,4,3,5,1,7,2] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[8,4,6,7,3,1,5,2] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,7,8,4,2,3,6,1] => [5,8,7,4,2,6,3,1] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,4,6,8,1,5] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,3,5,2,8,1,4,6] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,5,2,4,1,7,8,3] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[5,3,4,7,2,1,6,8] => [5,3,8,7,2,1,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[4,3,7,8,2,1,6,5] => [4,3,8,7,2,1,6,5] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,8,2,5,1,6,4] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[8,5,6,4,1,7,3,2] => [8,5,7,4,1,6,3,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,8,4,3,5,1,2,7] => [6,8,4,3,7,1,5,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
[8,4,7,6,3,1,2,5] => [8,4,7,6,3,1,5,2] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,2,6,5,8,1,4] => [7,3,2,8,6,5,1,4] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[7,4,5,2,6,3,1,8] => [7,4,8,2,6,5,1,3] => ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
[6,4,3,7,1,8,2,5] => [6,4,3,8,1,7,5,2] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,2,3,7,8,1,5] => [6,4,2,8,7,5,1,3] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[7,3,8,2,4,1,5,6] => [7,3,8,2,6,1,5,4] => ([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
[6,4,5,3,8,7,1,2] => [6,4,8,3,7,5,1,2] => ([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3
[6,5,2,4,1,8,3,7] => [6,5,2,8,1,7,4,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => 3
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Description
The number of simple modules with projective dimension at most 1.
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
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Map
antichains of maximal size
Description
The lattice of antichains of maximal size in a poset.
The set of antichains of maximal size can be ordered by setting $A \leq B \leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow} B$, where $\mathop{\downarrow} A$ is the order ideal generated by $A$.
This is a sublattice of the lattice of all antichains with respect to the same order relation. In particular, it is distributive.
The set of antichains of maximal size can be ordered by setting $A \leq B \leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow} B$, where $\mathop{\downarrow} A$ is the order ideal generated by $A$.
This is a sublattice of the lattice of all antichains with respect to the same order relation. In particular, it is distributive.
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