Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations
St000214: Permutations ⟶ ℤ
Values
[1] => [.,.] => [1] => [1] => 0
[1,2] => [.,[.,.]] => [2,1] => [2,1] => 1
[2,1] => [[.,.],.] => [1,2] => [1,2] => 0
[1,2,3] => [.,[.,[.,.]]] => [3,2,1] => [3,2,1] => 2
[1,3,2] => [.,[[.,.],.]] => [2,3,1] => [1,3,2] => 1
[2,1,3] => [[.,.],[.,.]] => [3,1,2] => [2,3,1] => 0
[2,3,1] => [[.,.],[.,.]] => [3,1,2] => [2,3,1] => 0
[3,1,2] => [[.,[.,.]],.] => [2,1,3] => [2,1,3] => 1
[3,2,1] => [[[.,.],.],.] => [1,2,3] => [1,2,3] => 0
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => 3
[1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [1,4,3,2] => 2
[1,3,2,4] => [.,[[.,.],[.,.]]] => [4,2,3,1] => [2,4,3,1] => 1
[1,3,4,2] => [.,[[.,.],[.,.]]] => [4,2,3,1] => [2,4,3,1] => 1
[1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,4,3] => 2
[1,4,3,2] => [.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,4,3] => 1
[2,1,3,4] => [[.,.],[.,[.,.]]] => [4,3,1,2] => [3,4,2,1] => 1
[2,1,4,3] => [[.,.],[[.,.],.]] => [3,4,1,2] => [3,1,4,2] => 0
[2,3,1,4] => [[.,.],[.,[.,.]]] => [4,3,1,2] => [3,4,2,1] => 1
[2,3,4,1] => [[.,.],[.,[.,.]]] => [4,3,1,2] => [3,4,2,1] => 1
[2,4,1,3] => [[.,.],[[.,.],.]] => [3,4,1,2] => [3,1,4,2] => 0
[2,4,3,1] => [[.,.],[[.,.],.]] => [3,4,1,2] => [3,1,4,2] => 0
[3,1,2,4] => [[.,[.,.]],[.,.]] => [4,2,1,3] => [3,2,4,1] => 1
[3,1,4,2] => [[.,[.,.]],[.,.]] => [4,2,1,3] => [3,2,4,1] => 1
[3,2,1,4] => [[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => 0
[3,2,4,1] => [[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => 0
[3,4,1,2] => [[.,[.,.]],[.,.]] => [4,2,1,3] => [3,2,4,1] => 1
[3,4,2,1] => [[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => 0
[4,1,2,3] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => 2
[4,1,3,2] => [[.,[[.,.],.]],.] => [2,3,1,4] => [1,3,2,4] => 1
[4,2,1,3] => [[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => 0
[4,2,3,1] => [[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => 0
[4,3,1,2] => [[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => 1
[4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => 0
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => 4
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,5,4,3,2] => 3
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,5,4,3,1] => 2
[1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,5,4,3,1] => 2
[1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,1,5,4,3] => 3
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => 2
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,5,4,2,1] => 2
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,1,5,4,2] => 1
[1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,5,4,2,1] => 2
[1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,5,4,2,1] => 2
[1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,1,5,4,2] => 1
[1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,1,5,4,2] => 1
[1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,5,4,1] => 2
[1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,5,4,1] => 2
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,5,4,1] => 1
[1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,5,4,1] => 1
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,5,4,1] => 2
[1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,5,4,1] => 1
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,1,5,4] => 3
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,5,4] => 2
[1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,3,1,5,4] => 1
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,3,1,5,4] => 1
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,1,3,5,4] => 2
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,5,4] => 1
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => 2
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,1,5,3,2] => 1
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,1,5,3,4] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,2,1,5,3] => 1
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,4,2,5,3] => 0
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => 2
[2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,1,5,3,2] => 1
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => 2
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => 2
[2,3,5,1,4] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,1,5,3,2] => 1
[2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,1,5,3,2] => 1
[2,4,1,3,5] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,4,1,5,3] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,4,5,3,1] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => 0
[2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,2,1,5,3] => 1
[2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,4,2,5,3] => 0
[2,5,3,1,4] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,2,1,5,3] => 1
[2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,2,1,5,3] => 1
[2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,4,2,5,3] => 0
[2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,4,2,5,3] => 0
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
[3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[3,5,1,2,4] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
>>> Load all 2492 entries. <<<[3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => 1
[3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => 0
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => 2
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => 2
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,4,3,5,1] => 1
[4,1,3,5,2] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,4,3,5,1] => 1
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => 2
[4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,4,3,5,1] => 1
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => 1
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => 1
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => 0
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => 0
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => 1
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => 0
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => 2
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,4,3,5,1] => 1
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => 0
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => 1
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => 0
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => 3
[5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,4,3,2,5] => 2
[5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,4,3,1,5] => 1
[5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,4,3,1,5] => 1
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,1,4,3,5] => 2
[5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,4,3,5] => 1
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,4,2,1,5] => 1
[5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,1,4,2,5] => 0
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,4,2,1,5] => 1
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,4,2,1,5] => 1
[5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,1,4,2,5] => 0
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,1,4,2,5] => 0
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,2,4,1,5] => 1
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,2,4,1,5] => 1
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => 0
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => 0
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,2,4,1,5] => 1
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => 0
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => 2
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,3,2,4,5] => 1
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => 0
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => 0
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => 1
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 5
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,6,5,4,3,2] => 4
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,6,5,4,3,1] => 3
[1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,6,5,4,3,1] => 3
[1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,1,6,5,4,3] => 4
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,6,5,4,3] => 3
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => 3
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [3,1,6,5,4,2] => 2
[1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => 3
[1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => 3
[1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [3,1,6,5,4,2] => 2
[1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [3,1,6,5,4,2] => 2
[1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [3,2,6,5,4,1] => 3
[1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [3,2,6,5,4,1] => 3
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,3,6,5,4,1] => 2
[1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,3,6,5,4,1] => 2
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [3,2,6,5,4,1] => 3
[1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,3,6,5,4,1] => 2
[1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [3,2,1,6,5,4] => 4
[1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,3,2,6,5,4] => 3
[1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,3,1,6,5,4] => 2
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,3,1,6,5,4] => 2
[1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,1,3,6,5,4] => 3
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,3,6,5,4] => 2
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,6,5,3,2,1] => 3
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,1,6,5,3,2] => 2
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,2,1,6,5,3] => 2
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,4,2,6,5,3] => 1
[1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,6,5,3,2,1] => 3
[1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,1,6,5,3,2] => 2
[1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,6,5,3,2,1] => 3
[1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,6,5,3,2,1] => 3
[1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,1,6,5,3,2] => 2
[1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,1,6,5,3,2] => 2
[1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => 1
[1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,2,1,6,5,3] => 2
[1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,4,2,6,5,3] => 1
[1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,2,1,6,5,3] => 2
[1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,2,1,6,5,3] => 2
[1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,4,2,6,5,3] => 1
[1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,4,2,6,5,3] => 1
[1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => 3
[1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => 2
[1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => 2
[1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => 1
[1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => 3
[1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => 3
[1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [2,4,3,6,5,1] => 2
[1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [2,4,3,6,5,1] => 2
[1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => 3
[1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [2,4,3,6,5,1] => 2
[1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => 2
[1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => 2
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => 1
[1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => 1
[1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => 2
[1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => 1
[1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => 3
[1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [2,4,3,6,5,1] => 2
[1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => 1
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => 2
[1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => 1
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [4,3,2,1,6,5] => 4
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,3,2,6,5] => 3
[1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [2,4,3,1,6,5] => 2
[1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [2,4,3,1,6,5] => 2
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [2,1,4,3,6,5] => 3
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,2,4,3,6,5] => 2
[1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [3,4,2,1,6,5] => 2
[1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,1,4,2,6,5] => 1
[1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [3,4,2,1,6,5] => 2
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [3,4,2,1,6,5] => 2
[1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,1,4,2,6,5] => 1
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,1,4,2,6,5] => 1
[1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,2,4,1,6,5] => 2
[1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,2,4,1,6,5] => 2
[1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,4,1,6,5] => 1
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,4,1,6,5] => 1
[1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,2,4,1,6,5] => 2
[1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,4,1,6,5] => 1
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,1,4,6,5] => 3
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,6,5] => 2
[1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [2,3,1,4,6,5] => 1
[1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [2,3,1,4,6,5] => 1
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,1,3,4,6,5] => 2
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,6,5] => 1
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 2
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => 2
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => 1
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => 2
[2,1,6,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => 1
[2,1,6,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,1,6,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => 1
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => 0
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 2
[2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => 2
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => 1
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 2
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 2
[2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => 2
[2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => 1
[2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => 2
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => 1
[2,3,6,4,1,5] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => 2
[2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => 2
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => 1
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => 1
[2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,3,6,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => 1
[2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,4,6,5,3,1] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => 0
[2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,1,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,3,1,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,4,1,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,4,1,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,6,1,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,6,3,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => 1
[2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,5,6,4,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => 0
[2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => 2
[2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => 1
[2,6,1,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,1,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => 1
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => 0
[2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => 2
[2,6,3,1,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => 1
[2,6,3,4,1,5] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => 2
[2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => 2
[2,6,3,5,1,4] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => 1
[2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => 1
[2,6,4,1,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,4,1,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,4,3,1,5] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,4,5,1,3] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => 0
[2,6,5,1,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => 1
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => 0
[2,6,5,3,1,4] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => 1
[2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => 1
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => 0
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => 0
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,1,2,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,5,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,1,6,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,1,6,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,2,4,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,2,5,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,5,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,5,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,2,6,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,2,6,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 2
[3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,6,1,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,6,2,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,4,6,5,1,2] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => 2
[3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => 1
[3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,2,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,4,6,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,6,1,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,6,2,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,6,2,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,5,6,4,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => 1
[3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => 0
[3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,1,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,1,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,1,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,6,2,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,6,4,1,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,4,2,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,4,2,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => 2
[3,6,4,5,2,1] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => 1
[3,6,5,1,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => 1
[3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => 0
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,3,6,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,1,3,6,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,3,6,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,2,6,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,6,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,6,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,1,2,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,3,6,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 3
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => 2
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 1
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,6,1,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,6,2,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,3,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => 2
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => 1
[4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => 0
[4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => 1
[4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => 0
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 3
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 3
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => 2
[5,1,2,4,6,3] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => 2
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 3
[5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => 2
[5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,3,4,6,2] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,3,6,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => 2
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => 2
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => 1
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => 1
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => 2
[5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => 1
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 3
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => 2
[5,1,6,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => 2
[5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => 1
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,1,4,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,1,4,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,4,1,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,4,1,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,4,6,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => 1
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => 1
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => 1
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 0
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 0
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 0
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => 1
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 0
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 3
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => 2
[5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => 1
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => 2
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => 1
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 1
[5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => 0
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 1
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 0
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => 1
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 0
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 0
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 4
[6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,5,4,3,2,6] => 3
[6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,5,4,3,1,6] => 2
[6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,5,4,3,1,6] => 2
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,1,5,4,3,6] => 3
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,2,5,4,3,6] => 2
[6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,5,4,2,1,6] => 2
[6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,1,5,4,2,6] => 1
[6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,5,4,2,1,6] => 2
[6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,5,4,2,1,6] => 2
[6,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,1,5,4,2,6] => 1
[6,1,3,5,4,2] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,1,5,4,2,6] => 1
[6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => 2
[6,1,4,2,5,3] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => 2
[6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => 1
[6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => 1
[6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => 2
[6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => 1
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1,5,4,6] => 3
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,5,4,6] => 2
[6,1,5,3,2,4] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [2,3,1,5,4,6] => 1
[6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [2,3,1,5,4,6] => 1
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,1,3,5,4,6] => 2
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,5,4,6] => 1
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => 2
[6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => 1
[6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => 1
[6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,4,2,5,3,6] => 0
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => 2
[6,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => 1
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => 2
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => 2
[6,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => 1
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => 1
[6,2,4,1,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => 0
[6,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => 1
[6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,4,2,5,3,6] => 0
[6,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => 1
[6,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => 1
[6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,4,2,5,3,6] => 0
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,4,2,5,3,6] => 0
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,1,2,5,4] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,1,5,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => 1
[6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => 0
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => 2
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => 2
[6,4,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,4,3,5,1,6] => 1
[6,4,1,3,5,2] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,4,3,5,1,6] => 1
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => 2
[6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,4,3,5,1,6] => 1
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => 1
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => 1
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => 0
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => 0
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => 1
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => 0
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => 2
[6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,4,3,5,1,6] => 1
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 0
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => 1
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => 0
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 3
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,4,3,2,5,6] => 2
[6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => 1
[6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => 1
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,1,4,3,5,6] => 2
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,4,3,5,6] => 1
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => 1
[6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => 0
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => 1
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => 1
[6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => 0
[6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => 0
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => 1
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => 1
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => 0
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => 0
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => 1
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => 0
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 2
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,3,2,4,5,6] => 1
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => 0
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => 0
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 1
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 6
[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,7,6,5,4,3,2] => 5
[1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,1,7,6,5,4,3] => 5
[1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => 5
[1,7,5,4,3,2,6] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => 1
[1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => 1
[1,7,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => 1
[1,7,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => 1
[1,7,6,4,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,4,1,5,7,6] => 1
[1,7,6,4,3,5,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,4,1,5,7,6] => 1
[1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,4,1,5,7,6] => 1
[1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => 1
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[2,7,6,1,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[2,7,6,5,1,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[2,7,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => 0
[6,4,3,2,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,2,1,7,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,2,7,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,5,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,5,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,7,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,7,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,3,7,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,5,3,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,5,3,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,5,3,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,5,7,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,7,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,7,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,7,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,4,7,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,5,3,1,2,4,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,1,2,7,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,1,4,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,1,4,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,1,7,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,1,7,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,2,1,4,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,2,4,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,2,4,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,2,7,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,2,7,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,4,1,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,4,7,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,7,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,3,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,3,7,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,4,1,2,3,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,5,4,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,5,4,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,5,4,2,1,3,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,2,3,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,2,3,7,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,2,7,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,2,7,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,3,1,2,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[6,5,4,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,7,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[6,5,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,7,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,7,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[6,7,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,7,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,7,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,7,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => 0
[6,7,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,7,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,7,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,7,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => 1
[6,7,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => 0
[6,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => 2
[6,7,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,7,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => 0
[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => 1
[6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => 0
[7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 5
[7,1,2,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,6,5,4,3,1,7] => 3
[7,1,2,3,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,6,5,4,3,1,7] => 3
[7,1,2,4,3,5,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => 3
[7,1,2,4,5,3,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => 3
[7,1,2,4,5,6,3] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => 3
[7,1,3,2,4,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => 3
[7,1,3,4,2,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => 3
[7,1,3,4,5,2,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => 3
[7,1,3,4,5,6,2] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => 3
[7,1,4,2,3,5,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,4,2,5,3,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,4,2,5,6,3] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,4,5,2,3,6] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,4,5,2,6,3] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,4,5,6,2,3] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => 3
[7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => 1
[7,2,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => 3
[7,2,3,1,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => 3
[7,2,3,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => 3
[7,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => 3
[7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => 3
[7,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,1,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,2,1,4,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,2,4,1,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,2,4,5,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,2,1,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,2,5,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,5,2,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => 3
[7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => 2
[7,4,1,2,3,5,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,1,2,5,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,1,2,5,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,1,5,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,1,5,2,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,1,5,6,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,2,1,3,5,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,1,5,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,1,5,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,3,1,5,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,3,5,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,1,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,1,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,3,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,2,5,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,1,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,5,1,2,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,5,1,6,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,5,2,1,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,2,1,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,2,3,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,2,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,6,1,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => 3
[7,4,5,6,2,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,4,5,6,2,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => 1
[7,5,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => 3
[7,5,1,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => 3
[7,5,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => 3
[7,5,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => 3
[7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => 0
[7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => 0
[7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => 0
[7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => 0
[7,5,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => 3
[7,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => 0
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 4
[7,6,4,3,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => 0
[7,6,4,3,2,5,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => 0
[7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => 0
[7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => 0
[7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 3
[7,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => 0
[7,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => 0
[7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => 0
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => 2
[7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[7,6,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => 0
[7,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => 0
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 1
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[7,8,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[8,6,7,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[7,6,8,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => 0
[8,6,5,7,4,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[8,7,6,4,5,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => 0
[8,7,5,4,6,3,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => 0
[8,6,5,4,7,3,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[7,8,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,8,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,8,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[8,7,6,4,3,5,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => 0
[8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => 0
[8,6,5,4,3,7,2,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[8,3,4,5,6,7,2,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[7,6,5,3,4,8,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,8,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,8,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,8,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,4,8,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,8,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,8,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,8,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[8,7,6,4,3,2,5,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => 0
[8,7,5,4,3,2,6,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => 0
[8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[8,3,4,5,6,2,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,3,4,5,2,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,3,4,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,3,2,4,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[7,6,5,3,4,2,8,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,4,2,3,8,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,3,2,4,8,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[8,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => 1
[7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[7,6,8,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[7,6,5,8,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[7,6,5,4,8,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[5,6,7,8,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,8,5,3,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[8,3,4,5,6,7,1,2] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[7,6,5,4,3,8,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[7,5,3,4,6,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,3,4,5,6,8,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,6,3,4,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,4,6,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,4,5,6,7,8,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[7,8,6,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,8,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,8,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,4,8,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[8,7,6,5,4,1,2,3] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => 2
[7,8,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[7,6,8,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[7,6,5,8,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[8,4,5,6,7,1,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[7,6,5,4,8,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[7,8,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,8,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,8,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,8,5,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,8,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[5,6,7,8,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[8,7,6,5,1,2,3,4] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 3
[7,8,5,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,5,6,8,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[8,7,6,4,3,2,1,5] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => 0
[8,7,6,1,2,3,4,5] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => 4
[8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => 0
[7,8,3,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,8,5,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,8,3,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,8,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[8,7,1,2,3,4,5,6] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => 5
[7,8,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => 0
[8,3,4,5,6,2,1,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,3,4,2,5,6,1,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,3,2,4,5,6,1,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,2,3,4,5,6,1,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[8,3,4,5,6,1,2,7] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[8,4,5,6,1,2,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[8,3,4,5,2,1,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,2,3,4,5,1,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[8,3,4,5,1,2,6,7] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[8,4,5,1,2,3,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[8,3,4,2,1,5,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,2,3,4,1,5,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[8,3,4,1,2,5,6,7] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[8,4,1,2,3,5,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[8,3,2,1,4,5,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => 3
[8,2,3,1,4,5,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[8,3,1,2,4,5,6,7] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[8,2,1,3,4,5,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => 4
[8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 6
[7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => 0
[7,6,5,3,4,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,4,2,3,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,3,2,4,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,6,5,4,3,1,2,8] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[5,6,3,4,7,1,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,4,5,6,7,1,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[7,6,5,4,2,1,3,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,6,5,4,1,2,3,8] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[7,6,5,3,2,1,4,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[5,6,7,3,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,5,6,1,2,3,4,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,6,7,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[7,5,3,1,2,4,6,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,1,2,3,4,6,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,3,4,1,2,5,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,1,2,4,5,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[5,6,3,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,4,5,6,1,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,1,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[5,3,1,2,4,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 7
[4,8,7,6,5,3,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,3,8,7,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[2,4,6,8,7,5,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,8,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[4,3,2,8,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[2,4,3,6,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[3,4,2,5,8,7,6,1] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[2,4,6,5,3,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,3,4,5,6,8,7,1] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,8,7] => 1
[1,4,7,8,6,5,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,4,7,6,5,8,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,4,3,7,8,6,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,4,3,7,6,8,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,3,4,5,7,8,6,2] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,3,4,5,7,6,8,2] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[2,1,4,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[1,2,4,6,7,8,5,3] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[4,3,2,1,8,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[2,4,3,1,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[1,4,3,2,7,6,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[3,4,5,2,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[3,4,2,5,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[3,2,4,5,1,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[1,3,4,5,2,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[3,2,4,1,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[1,3,4,2,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[3,2,1,4,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[1,3,2,4,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[2,4,6,5,3,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,5,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,3,4,5,6,1,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[2,1,4,6,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,1,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,3,4,5,1,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[2,3,4,1,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[2,3,1,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2] => 6
[1,4,7,6,5,3,2,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,3,4,5,7,6,2,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,2,4,6,7,5,3,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,2,4,6,5,7,3,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,4,3,2,7,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,2,4,3,6,7,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,3,4,5,2,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,3,4,2,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,2,4,6,5,3,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,8,4,7,6,5,3,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,8,7] => 1
[1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,8,7] => 1
[2,8,7,4,6,5,3,1] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[4,2,3,8,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[8,2,7,6,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[8,3,2,7,6,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[7,3,6,5,4,2,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,6,5,4,2,8,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[8,3,7,6,5,4,2,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[2,4,1,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,1,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,3,4,5,6,8,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => 4
[3,1,4,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,1,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,1,5,2,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,5,1,2,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,1,4,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,1,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,5,8,1,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,1,4,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,1,4,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,1,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,1,5,6,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,1,6,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,1,4,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,1,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,1,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,6,1,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,1,4,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,1,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,1,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,6,1,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[3,4,5,6,7,1,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => 5
[1,3,4,5,7,2,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[1,3,4,5,7,8,2,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 3
[3,1,2,4,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[1,4,2,5,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,2,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,2,6,3,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,2,3,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,2,5,6,7,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,2,6,7,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,2,7,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,7,2,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,2,5,6,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,2,6,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,2,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,7,2,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,4,5,6,7,8,2,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[1,2,4,6,3,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,2,4,6,3,7,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,2,4,6,7,8,3,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => 3
[1,4,2,7,3,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,2,3,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,7,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,2,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,8,2,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,7,3,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,2,3,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,3,7,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,3,7,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,7,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,2,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,2,3,7,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,1,8,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[4,8,1,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[4,1,2,8,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[4,1,2,3,8,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[1,4,2,3,5,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => 5
[5,1,6,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,7,1,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,2,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,7,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,7,1,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,7,1,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,2,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,7,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,2,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,6,1,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,6,2,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,6,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => 5
[7,1,8,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[7,1,2,8,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[7,1,2,3,8,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[7,1,2,3,4,8,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => 5
[1,8,2,3,4,5,6,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,8,7] => 6
[1,2,8,3,4,5,6,7] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [5,4,3,2,1,8,7,6] => 6
[1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [4,3,2,1,8,7,6,5] => 6
[1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [3,2,1,8,7,6,5,4] => 6
[1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,1,8,7,6,5,4,3] => 6
[5,8,4,3,1,7,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,8,4,3,6,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[6,8,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[4,8,6,1,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,2,8,6,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,8,7,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,8,6,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[9,10,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,10,1] => 1
[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[5,3,6,1,2,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,8,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,5,8,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,3,6,7,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,4,8,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,3,7,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,4,3,6,1,2,5,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,5,3,6,1,2,4,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[6,5,3,8,1,2,4,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,3,8,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[6,5,2,4,8,1,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,3,6,8,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,3,6,2,5,1,4,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,8,2,4,1,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,5,8,3,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[5,4,8,3,7,1,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,5,8,2,4,1,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,3,7,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[5,8,4,7,3,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,8,5,7,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,8,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,8,3,6,2,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,8,4,6,3,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,8,5,6,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,6,5,4,2,8,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[7,3,1,2,4,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,3,1,2,6,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,3,1,8,2,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,3,1,8,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[8,4,1,5,2,3,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[4,3,1,8,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[8,4,1,5,6,2,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[8,4,1,5,6,7,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[7,3,4,1,2,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,8,5,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,3,4,1,6,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,4,5,1,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[2,8,7,5,6,1,3,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,3,4,5,6,1,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => 7
[9,3,1,2,4,5,6,7,8] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [7,6,8,5,4,3,2,1,9] => 5
[9,3,4,1,2,5,6,7,8] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [7,6,8,5,4,3,2,1,9] => 5
[9,3,4,5,6,7,1,2,8] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [7,6,8,5,4,3,2,1,9] => 5
[9,3,4,5,6,7,8,1,2] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [7,6,8,5,4,3,2,1,9] => 5
[5,6,7,8,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[6,5,8,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[5,4,3,8,7,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,1,3,2,8,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,8,3,2,1,6,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,8,5,6,2,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,3,1,2,8,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[4,2,1,3,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,5,8,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,2,6,1,5,3,8,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[8,3,7,2,6,1,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[7,3,8,2,6,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,8,2,4,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[5,6,7,3,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[8,1,2,4,5,6,3,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => 4
[7,5,8,2,1,4,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,3,8,4,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,6,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,1,6,8,4,2,5,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[7,5,8,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,4,3,1,8,2,6,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[3,2,8,1,7,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[7,5,1,2,8,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,3,6,4,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,6,1,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,6,1,7,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,1,6,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[6,5,3,1,2,4,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[2,8,7,4,1,6,3,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[2,1,8,7,5,3,4,6] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[6,5,3,8,4,1,7,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,1,6,4,5,8,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[4,8,1,2,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[4,1,2,8,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,5,2,4,8,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[8,3,4,1,5,6,7,2] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[5,6,3,7,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,3,7,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,5,3,1,8,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,6,5,3,2,1,8,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,8,3,6,2,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,2,8,1,7,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[8,1,6,7,2,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => 4
[7,5,1,2,8,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[4,3,8,7,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,8,5,6,1,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[6,5,2,1,4,3,8,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[5,6,3,7,4,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[2,1,8,7,4,3,6,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[7,5,2,4,8,1,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[6,5,3,8,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[4,1,8,3,6,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,5,8,6,1,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,5,8,2,4,1,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,8,2,4,6,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[6,5,8,2,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,5,8,2,4,3,7,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,1,8,3,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,1,8,3,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,8,2,1,6,5,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[4,3,8,1,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,8,3,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,3,8,7,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[5,6,7,3,8,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,6,7,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,4,6,3,8,1,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[5,3,6,4,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,5,1,2,8,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[4,3,8,7,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[6,5,3,1,8,4,7,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,5,3,1,2,8,4,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[1,8,2,7,3,4,5,6] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [4,3,2,1,6,5,8,7] => 5
[6,5,3,4,8,7,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,1,4,6,8,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[6,5,3,1,8,2,7,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,1,4,8,6,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[6,5,3,1,8,2,4,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,8,3,1,2,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[6,5,3,8,1,2,7,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,5,2,1,8,7,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[1,6,2,5,3,4,7,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,8,2,7,3,5,4,6] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [2,4,3,1,6,5,8,7] => 3
[1,6,2,5,3,7,4,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,8,2,3,4,7,5,6] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [2,1,6,5,4,3,8,7] => 5
[1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,1,4,3,8,7,6,5] => 5
[1,7,2,8,3,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[1,8,2,7,3,6,4,5] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [2,1,4,3,6,5,8,7] => 4
[5,3,6,1,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,3,1,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,5,2,1,6,8,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,1,6,8,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,1,6,4,8,2,5,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[7,5,2,6,8,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,8,1,6,3,5,2,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[7,8,3,6,5,2,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[4,8,5,7,2,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,5,2,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[8,3,2,7,6,5,1,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[8,7,6,5,4,1,3,2] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[8,3,2,7,6,1,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[7,3,4,1,8,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,4,3,1,8,6,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[1,6,2,5,7,3,4,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[7,3,4,1,5,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,1,8,6,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,6,2,5,1,8,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[8,4,5,1,6,2,7,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[4,1,8,5,6,2,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,3,8,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,8,5,1,4,2,6,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[1,4,7,2,5,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,1,8,3,6,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,5,2,4,3,1,6,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,2,8,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,2,7,5,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,1,8,6,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,8,7,4,3,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,8,5,3,1,2,7,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[3,1,4,5,8,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[4,8,3,1,7,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[5,8,4,7,3,1,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,8,5,3,1,7,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[8,4,5,1,2,6,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[5,6,3,7,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,3,7,5,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[1,4,7,5,2,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,6,2,7,5,3,8,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,8,6,4,2,7,3,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[8,4,1,5,2,6,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,9,8,7,6,5,4,3,2] => 7
[1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,10,9,8,7,6,5,4,3,2] => 8
[1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,11,10,9,8,7,6,5,4,3,2] => 9
[8,1,7,2,6,3,5,4] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [1,3,2,5,4,7,6,8] => 3
[8,7,6,1,5,4,3,2] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[7,5,8,3,1,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,4,3,1,2,6,5,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,5,1,4,2,6,3,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[1,7,2,3,6,4,5,8] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[4,8,2,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[2,4,1,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[6,5,2,8,4,7,3,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,3,8,7,1,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[1,8,6,3,7,5,2,4] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[8,7,1,6,2,5,4,3] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [1,2,4,3,6,5,7,8] => 2
[7,8,1,6,3,2,5,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[4,2,8,5,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[8,1,2,7,3,4,6,5] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [1,4,3,2,7,6,5,8] => 4
[6,5,1,8,7,4,2,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[2,1,8,7,5,6,3,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[8,1,7,6,5,2,4,3] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [1,3,2,4,5,7,6,8] => 2
[1,2,8,7,6,3,4,5] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [3,2,1,4,5,8,7,6] => 4
[3,8,7,6,4,5,2,1] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[1,8,7,6,5,4,2,3] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [2,1,3,4,5,6,8,7] => 2
[1,8,6,7,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,8,5,7,4,6,2,3] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[7,8,1,6,4,5,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[1,8,4,7,3,6,2,5] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[4,8,5,7,2,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,8,6,7,3,5,2,4] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[6,8,5,7,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => 8
[1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => 9
[4,8,5,2,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,3,2,6,8,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,6,8,1,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[8,1,3,4,5,6,7,2] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [5,7,6,4,3,2,1,8] => 4
[6,5,8,2,4,7,3,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,5,2,8,4,1,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,8,1,6,3,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[8,9,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,9,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,5,9,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,5,4,9,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => 0
[9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,7,10,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,7,6,10,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,7,6,5,10,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,7,6,5,4,10,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[8,7,6,5,4,2,3,9,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[9,8,7,6,5,4,3,10,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[8,7,6,5,4,3,1,2,9] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => 1
[9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => 0
[5,3,1,6,7,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => 8
[10,9,1,2,3,4,5,6,7,8] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => 7
[11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => 9
[5,3,6,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,4,5,8,2,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[3,4,5,2,8,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[6,5,1,8,4,2,3,7] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[7,5,1,6,4,2,3,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,8,5,1,6,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,9,8] => 1
[1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,10,9] => 1
[10,9,8,7,6,5,4,3,2,1,11] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,11,10] => 1
[4,2,3,1,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,1,3,2,8,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[6,5,8,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[2,8,7,4,1,6,5,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[1,2,4,8,7,5,3,6] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,1,5,3,8,7,6,4] => 3
[1,4,2,7,8,5,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[2,8,1,7,4,3,6,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[2,8,1,7,5,3,4,6] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,8,3,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[9,2,1,3,4,5,6,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[10,2,1,3,4,5,6,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[9,2,3,1,4,5,6,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[2,8,7,4,3,6,1,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[4,1,8,2,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[8,3,2,1,7,6,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[2,4,6,1,3,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,1,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,1,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,1,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,3,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,3,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,3,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,1,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,1,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,1,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,1,4,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,1,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,1,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,1,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,3,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[4,8,2,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[9,8,1,2,3,4,5,6,7] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => 6
[9,8,7,1,2,3,4,5,6] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => 5
[9,8,7,6,1,2,3,4,5] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => 4
[9,8,7,6,5,1,2,3,4] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => 3
[9,8,7,6,5,4,1,2,3] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => 2
[9,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => 1
[10,9,8,1,2,3,4,5,6,7] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => 6
[10,9,8,7,1,2,3,4,5,6] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => 5
[10,9,8,7,6,1,2,3,4,5] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => 4
[10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => 3
[10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => 2
[10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => 1
[4,2,8,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[5,3,6,4,1,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,8,2,6,1,5,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,8,1,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[1,8,6,7,2,5,3,4] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [3,2,5,4,6,1,8,7] => 3
[2,8,1,7,5,6,3,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[1,8,2,7,5,6,3,4] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [3,2,4,1,6,5,8,7] => 3
[1,8,2,7,4,6,3,5] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [3,1,4,2,6,5,8,7] => 2
[2,8,1,7,4,6,3,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[1,8,3,7,2,6,4,5] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => 2
[3,8,2,7,1,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[4,8,3,7,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[2,8,1,7,3,6,4,5] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => 2
[7,5,2,8,6,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,1,8,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,3,8,6,2,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,1,8,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,2,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,7,8,3,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[4,8,1,3,6,7,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,4,3,8,1,2,7,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,5,3,1,4,2,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[5,3,1,6,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,4,5,8,2,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[1,10,2,3,4,5,6,7,8,9] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [8,7,6,5,4,3,2,1,10,9] => 8
[1,4,7,2,5,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,3,8,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[6,8,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,8,4,6,3,1,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[6,8,5,2,1,4,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,6,2,4,1,8,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,4,7,2,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,8,5,2,4,6,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[2,1,8,7,4,6,3,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[6,5,8,2,4,1,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,8,1,6,4,2,5,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,8,7] => 1
[4,8,7,3,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,3,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,3,2,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,3,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,3,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,3,6,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[5,8,7,6,4,3,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[5,3,6,1,7,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,4,3,7,6,8,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,4,3,7,2,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[5,3,6,1,4,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[6,5,2,1,8,4,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,5,3,8,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[8,2,7,6,5,1,4,3] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[4,3,8,7,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,5,3,8,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[4,2,8,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[2,1,4,6,8,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[8,1,7,6,5,4,3,2] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,7,6,8] => 1
[4,8,7,3,1,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,8,5,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,1,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,3,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,3,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,3,1,6,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,8,5,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,3,4,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,4,1,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,1,2,8,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,6,1,2,8,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,4,2,6,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,6,4,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,6,4,1,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,6,4,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,1,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,8,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,8,2,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,6,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,8,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,8,6,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,6,1,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,8,4,1,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,8,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,8,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,8,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,4,1,8,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,1,8,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,1,8,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,8,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,6,3,8,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,6,1,8,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,6,8,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,2,8,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,2,8,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,4,8,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,4,8,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,4,1,6,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,5,3,1,4,6,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => 1
[7,3,2,6,8,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,2,8,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,1,4,8,2,6,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[5,8,4,7,6,3,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,4,8,3,1,6,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[4,3,1,8,7,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,1,6,4,8,5,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[4,2,8,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,1,8,6,3,5,4,2] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[7,1,6,4,2,3,5,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[7,1,6,4,5,2,3,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[4,3,8,1,2,7,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,3,8,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,5,2,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[6,8,5,3,1,4,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[1,8,6,4,2,7,5,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,6,2,7,5,8,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[7,6,5,4,3,1,8,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => 1
[8,7,6,5,4,3,1,9,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => 1
[9,8,7,6,5,4,3,1,10,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,10,1] => 1
[4,3,8,2,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[6,8,5,2,7,4,3,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[5,8,4,3,7,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,3,6,5,8,2,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,2,4,8,1,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[5,4,8,3,7,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,5,1,6,2,3,8,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[6,5,3,1,8,4,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,5,3,8,1,4,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,5,3,8,1,4,7,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,1,4,2,6,8,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[4,8,7,3,1,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[4,1,8,5,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[1,7,8,2,3,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[1,2,8,3,6,4,5,7] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [3,2,5,4,1,8,7,6] => 4
[5,6,3,1,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,2,8,3,6,4,7,5] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [3,2,5,4,1,8,7,6] => 4
[4,2,1,8,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,6,7,1,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,6,7,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,2,8,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,6,7,1,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,2,8,5,3,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,7,8,5,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,1,8,6,3,5,2,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[4,8,1,6,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,8,6,2,5,3,4,7] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [3,2,5,4,6,1,8,7] => 3
[1,8,6,4,5,2,3,7] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[4,1,8,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,8,6,5,4,3,2,7] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,8,7] => 1
[1,4,7,2,8,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[5,3,6,7,1,4,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,1,4,5,6,2,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,7,6,3,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[5,8,4,3,7,1,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,1,3,8,2,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,1,2,5,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,3,2,8,1,6,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[8,2,1,7,6,5,4,3] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[3,8,7,6,2,1,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[4,8,1,6,5,7,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,3,1,6,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[10,11,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[8,7,6,5,4,3,9,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => 1
[11,10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => 1
[5,6,3,1,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[2,4,6,5,8,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[5,4,8,7,6,3,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,5,3,8,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[1,8,4,3,7,2,6,5] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[4,1,8,5,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[3,4,5,1,8,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[7,8,1,6,4,2,3,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[8,4,1,2,5,6,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[7,3,2,6,5,1,8,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[1,8,6,4,5,2,7,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,4,2,7,8,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,6,7,8,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,2,3,4,5,6,7,10,8,9] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [2,1,10,9,8,7,6,5,4,3] => 8
[1,2,3,4,5,10,6,7,8,9] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [4,3,2,1,10,9,8,7,6,5] => 8
[1,2,3,10,4,5,6,7,8,9] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [6,5,4,3,2,1,10,9,8,7] => 8
[8,3,7,2,6,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[8,7,6,2,5,4,3,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,4,2,5,3,6,7,8] => 0
[8,2,7,1,6,5,4,3] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[8,1,7,2,6,5,4,3] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [1,2,3,5,4,7,6,8] => 2
[8,3,7,6,5,2,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[8,7,6,2,5,1,4,3] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,4,2,5,3,6,7,8] => 0
[8,7,6,1,5,2,4,3] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [1,3,2,5,4,6,7,8] => 2
[4,8,1,5,2,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[4,8,3,7,1,5,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[5,6,7,3,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,3,7,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,3,4,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,6,7,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,4,6,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,7,2,3,6,4,8,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[6,5,8,7,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[1,4,7,2,8,5,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,8,2,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[3,8,7,2,6,4,5,1] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[7,5,2,6,8,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,1,3,8,2,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,1,8,6,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,5,2,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,5,2,8,4,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[8,1,6,2,3,4,5,7] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => 4
[3,4,5,8,7,2,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[5,4,3,1,8,2,7,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,5,2,6,4,3,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,8,3,7,6,2,4,5] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => 2
[3,4,5,8,6,7,1,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[7,1,6,2,5,3,8,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[1,8,6,4,7,2,3,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,8,5,4,7,2,6,3] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[7,2,8,6,1,5,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,6,5,4,2,1,8,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => 0
[8,7,6,5,4,2,1,9,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[5,3,1,6,2,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,4,1,5,6,2,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,4,1,5,2,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,4,5,8,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,4,5,8,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,4,5,8,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,4,8,3,6,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,1,6,3,2,5,4,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[1,8,6,7,4,2,5,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,8,2,7,4,3,6,5] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [3,1,4,2,6,5,8,7] => 2
[7,3,2,6,8,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,2,8,4,1,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,4,6,3,8,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,5,6,8,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,6,1,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,4,3,1,8,7,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,5,3,4,8,1,7,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[3,2,8,7,6,1,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[4,8,6,5,1,7,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[8,3,2,7,1,6,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[7,3,6,2,1,5,4,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[5,4,8,7,3,6,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,6,5,3,8,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => 0
[7,4,8,6,3,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[8,1,3,4,5,2,6,7] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [5,7,6,4,3,2,1,8] => 4
[8,1,3,2,4,5,6,7] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [5,7,6,4,3,2,1,8] => 4
[7,5,1,8,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,3,1,4,8,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,3,1,6,7,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[6,5,3,1,8,7,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[5,4,3,1,8,7,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,5,2,1,8,6,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,3,2,1,8,6,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[1,4,7,2,5,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,2,8,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,1,3,8,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,1,3,6,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,1,8,6,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,1,6,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,6,1,3,5,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,8,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,8,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,8,1,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[9,8,6,5,4,3,2,1,7] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => 0
[9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => 0
[8,7,6,2,5,4,1,3] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,4,2,5,3,6,7,8] => 0
[10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => 0
[5,4,3,8,7,1,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,5,8,6,2,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[6,5,8,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,8,7,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[4,1,8,5,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[8,3,1,4,5,6,7,2] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[7,2,6,1,5,3,4,8] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[4,8,1,5,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[2,8,7,1,4,6,5,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[7,5,1,2,3,4,8,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,5,2,8,1,4,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,4,7,5,2,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,3,7,8,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[7,1,6,3,5,8,4,2] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[5,3,6,7,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,6,5,4,1,2,8,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[4,8,1,6,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,4,3,1,2,8,7,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[2,4,6,8,3,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[3,4,5,2,8,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[3,2,4,5,8,7,1,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[4,8,5,7,2,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,6,1,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,8,2,6,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,2,8,1,6,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[10,9,8,7,6,5,4,3,2,11,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[7,3,1,4,8,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,5,6,8,2,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[2,8,7,5,3,4,1,6] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,3,1,4,5,2,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,6,3,1,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,6,1,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,1,5,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,5,6,2,1,8,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,2,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,5,1,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[8,1,2,4,5,3,6,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => 4
[6,8,5,3,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,1,6,4,8,2,3,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[4,8,7,3,5,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[5,8,7,4,3,1,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[7,3,8,2,1,6,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,2,8,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,3,8,7,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[3,2,1,8,7,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[4,8,5,7,6,2,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,5,6,1,8,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[1,8,6,3,2,5,7,4] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[7,8,5,2,1,4,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,1,6,3,2,5,8,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[1,4,7,6,3,2,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[4,8,3,2,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,3,8,2,7,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,3,2,8,1,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,8,3,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,1,5,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[1,4,7,3,8,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[7,1,6,4,2,3,8,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[4,8,7,3,5,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[4,8,7,5,3,6,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[4,8,2,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[3,8,7,6,2,4,1,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[7,8,2,6,5,1,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,8,2,6,5,3,1,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[3,8,7,6,4,2,1,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[6,8,5,2,4,1,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[8,2,7,6,5,4,1,3] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[7,3,8,6,5,4,2,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,1,6,8,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,4,3,8,1,2,6,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[5,3,6,1,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,3,7,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,7,3,1,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,7,3,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,3,7,8,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[3,2,4,5,8,1,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => 2
[6,5,8,3,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,8,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,5,2,6,4,1,3,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,7,5,6,3,1,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[1,8,6,3,7,5,4,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[4,8,3,7,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[4,2,8,5,7,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,6,7,5,1,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[2,8,7,1,5,6,3,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,8,5,2,1,4,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[5,4,8,7,3,1,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,5,3,4,1,2,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[5,3,6,7,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,5,1,2,3,8,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[5,6,3,4,1,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,3,1,6,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,2,8,6,5,1,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[5,6,3,7,1,4,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,1,6,3,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,8,5,2,4,1,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,8,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,3,6,8,5,2,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[9,8,7,6,5,4,3,1,2,10] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,10,1] => 1
[8,7,6,5,4,2,1,3,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[7,3,6,5,2,1,4,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,6,5,2,1,8,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[2,8,7,3,6,1,4,5] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => 2
[4,2,1,8,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,7,5,6,8,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[6,5,1,4,2,3,8,7] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[2,1,8,7,3,6,4,5] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => 2
[4,8,6,1,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,8,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,3,4,8,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,5,1,8,4,2,6,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,5,2,8,4,6,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,5,7,2,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,8,6,1,7,5,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,6,7,3,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,6,7,3,8,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,4,8,3,7,1,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,8,5,1,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,1,6,4,2,5,3,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[1,8,6,3,5,7,4,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[4,3,2,8,7,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,1,8,6,3,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,4,6,3,1,8,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[1,8,5,4,2,3,7,6] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[7,4,3,8,1,6,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[6,5,3,8,7,1,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[1,8,3,2,7,6,4,5] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => 2
[4,8,6,1,3,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,3,2,6,1,8,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,1,4,5,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,1,6,2,8,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[7,2,8,1,6,5,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,1,6,4,5,2,8,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[7,5,1,4,2,8,6,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[6,5,8,1,4,2,7,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[7,1,8,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[3,8,7,2,1,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[5,3,6,1,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[8,2,7,6,1,5,4,3] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => 0
[5,3,6,1,7,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,8,3,7,6,4,5,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => 2
[5,3,1,4,6,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,2,8,1,5,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[2,8,1,7,4,6,5,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[4,8,2,3,1,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,7,3,6,2,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[4,2,3,8,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,8,6,4,2,3,7,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[2,1,8,7,5,3,6,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,5,1,8,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[4,8,3,2,1,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,3,6,5,2,8,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,5,2,8,1,4,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,8,1,2,5,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[8,1,2,4,3,5,6,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => 4
[4,8,7,6,3,5,2,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,7,6,3,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,1,6,3,5,8,2,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[1,8,5,4,2,7,6,3] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[7,2,6,5,3,8,1,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[5,3,1,4,2,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,2,8,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,5,2,4,8,6,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,2,4,6,3,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,8,2,7,5,3,6,4] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [3,2,4,1,6,5,8,7] => 3
[7,5,2,1,6,4,8,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,2,8,6,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,8,5,7,4,2,6,3] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[2,4,6,8,1,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[1,8,2,7,4,6,5,3] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [3,1,4,2,6,5,8,7] => 2
[1,6,2,7,8,5,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[7,5,8,2,1,4,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,1,2,8,5,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[9,2,3,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[7,4,3,6,5,8,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,4,6,8,5,3,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[2,8,7,5,3,1,4,6] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[2,4,6,1,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[7,5,1,2,6,8,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[1,8,6,2,5,7,3,4] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [3,2,5,4,6,1,8,7] => 3
[4,8,2,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,1,8,6,5,3,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,3,6,7,8,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,8,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,8,1,6,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,1,3,2,6,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,8,4,7,3,6,5,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[2,8,7,1,3,6,4,5] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => 2
[6,5,3,1,4,8,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[2,4,6,8,5,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[4,8,6,5,1,3,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,5,2,8,4,3,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[10,2,3,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[1,8,5,4,2,7,3,6] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[5,6,3,7,1,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,8,4,3,2,7,6,5] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[4,8,2,5,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,3,6,2,8,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[4,1,8,3,2,6,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,1,8,5,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[5,3,6,1,4,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[1,4,2,7,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,3,2,6,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[4,3,8,7,2,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,8,5,2,1,6,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,1,6,5,3,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,4,7,8,5,2,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,3,8,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,4,3,1,6,2,8,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,4,3,1,8,6,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,1,6,4,2,8,5,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[8,1,2,4,5,6,7,3] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => 4
[9,2,3,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[7,4,3,1,6,5,8,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,1,8,6,4,5,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[6,8,5,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,8,7,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[1,6,7,2,5,3,4,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,2,8,3,6,7,4,5] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [3,2,5,4,1,8,7,6] => 4
[7,8,3,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[2,4,6,3,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,3,6,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,3,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,8,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,5,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,5,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,3,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,1,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,8,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,8,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,5,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,7,3,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,7,1,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,7,1,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,5,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,1,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,3,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,5,8,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,5,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,7,3,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[2,4,6,8,7,5,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => 0
[5,6,3,1,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,4,3,8,1,7,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[6,5,3,8,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[4,3,8,2,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,3,7,2,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,3,7,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[1,7,2,3,8,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[1,7,2,3,6,8,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => 4
[7,2,6,5,3,4,1,8] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[4,8,7,3,1,2,5,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[3,8,2,1,7,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[7,3,8,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,2,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,8,5,2,4,1,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[6,8,5,3,1,7,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,1,6,3,5,4,2,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[1,2,4,3,8,7,5,6] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,1,5,3,8,7,6,4] => 3
[7,8,5,2,4,3,6,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,7,5,3,1,2,6] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[6,8,7,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[2,8,7,1,4,3,6,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[2,8,7,5,6,3,4,1] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[2,8,7,5,6,3,1,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[2,8,7,5,3,1,6,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[2,8,7,5,3,6,4,1] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[4,1,8,6,7,3,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,5,7,2,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,8,6,4,2,5,3,7] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[4,8,7,5,3,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,3,6,2,1,8,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[1,8,6,4,2,5,7,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[4,3,2,8,7,1,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[5,4,8,3,1,7,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[8,1,6,2,3,4,7,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => 4
[1,4,7,2,5,6,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,2,8,3,5,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,2,8,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[4,2,8,5,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,5,2,4,3,8,6,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,6,1,2,3,8,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,5,2,1,4,3,8,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,8,6,3,5,2,7,4] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[1,4,7,3,6,8,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[6,8,5,2,1,7,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[3,4,5,8,1,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[1,8,6,7,4,2,3,5] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[7,3,1,2,8,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[6,5,8,1,4,2,3,7] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[7,3,6,2,5,4,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[1,4,7,3,6,5,2,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[7,3,1,4,8,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,1,6,3,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[9,1,3,4,5,6,7,8,2] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,2,3,1,9] => [6,8,7,5,4,3,2,1,9] => 5
[7,5,2,4,3,6,8,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,1,6,3,8,5,2,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[6,8,5,1,4,2,3,7] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[5,8,4,3,1,7,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[9,1,3,2,4,5,6,7,8] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,2,3,1,9] => [6,8,7,5,4,3,2,1,9] => 5
[7,2,6,1,5,8,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[4,2,8,5,3,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,2,6,5,1,8,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[6,5,2,4,8,7,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[3,8,2,7,6,4,1,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[8,3,4,5,1,6,7,2] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[6,5,2,1,8,4,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,1,8,6,3,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[7,5,8,1,6,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[2,8,7,1,4,6,3,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[7,5,6,2,8,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,4,7,5,2,8,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,5,2,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[6,5,8,7,2,4,3,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,1,4,2,3,6,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[8,1,6,2,7,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => 4
[7,1,6,2,5,3,4,8] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[8,4,1,2,5,3,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[7,5,6,2,4,3,8,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[8,3,7,6,2,1,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[8,3,7,6,2,5,1,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[4,1,3,8,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[4,8,5,2,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[6,8,7,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[1,4,7,5,2,6,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,3,7,2,8,6,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,4,2,7,5,3,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,8,4,7,3,2,6,5] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[6,5,8,2,1,7,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[1,8,6,3,2,5,4,7] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[8,3,7,2,1,6,5,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[6,5,1,4,2,8,7,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[7,3,6,8,5,2,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,8,4,6,5,3,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[2,8,7,5,1,6,3,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,4,8,3,1,2,6,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,6,5,4,1,8,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => 2
[7,4,8,6,3,1,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,3,1,4,2,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,4,8,3,1,7,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,3,8,7,2,6,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[3,8,7,2,6,4,1,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[1,8,4,7,6,3,5,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[7,5,2,4,8,3,6,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,2,6,5,8,3,4,1] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[5,6,3,1,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,5,1,2,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,5,2,4,8,3,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,2,8,1,4,6,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,8,1,6,3,5,4,2] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[1,4,7,6,8,3,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[2,8,1,7,5,3,6,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[4,1,8,5,2,6,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[6,5,8,7,2,4,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[10,2,3,4,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[1,8,2,7,3,5,6,4] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [2,4,3,1,6,5,8,7] => 3
[1,8,4,3,7,6,2,5] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => 1
[3,2,8,7,1,6,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[7,4,6,8,3,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[8,3,4,5,6,1,7,2] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => 4
[6,5,2,8,7,4,3,1] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,2,8,6,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,8,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,8,5,2,4,3,1,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[8,3,7,2,6,5,1,4] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[4,8,5,1,2,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[6,8,7,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[4,3,8,7,6,2,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[7,5,1,4,8,2,3,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,1,6,8,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => 3
[6,8,5,2,7,4,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,3,8,6,5,2,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,8,2,6,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,4,7,3,2,8,6,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[7,3,2,1,6,5,8,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,3,2,6,1,5,8,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[6,8,5,2,7,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,8,5,7,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[6,5,8,2,7,4,1,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[9,2,3,4,5,6,1,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[2,8,7,4,6,3,5,1] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[2,8,7,4,6,3,1,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[1,8,6,4,5,7,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[1,8,6,4,2,3,5,7] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[2,8,7,1,5,3,6,4] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[1,8,6,4,7,5,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => 2
[4,1,8,6,3,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,8,6,3,5,4,2,7] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => 1
[1,8,2,7,5,3,4,6] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [3,2,4,1,6,5,8,7] => 3
[6,5,2,4,1,3,8,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[1,8,5,4,7,2,3,6] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => 2
[3,1,4,5,8,6,2,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[5,6,3,4,1,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,4,5,1,6,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,3,1,6,4,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,4,5,1,8,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[7,5,8,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,4,6,3,8,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,5,2,1,4,6,8,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[10,9,11,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => 0
[2,8,7,5,1,3,4,6] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => 1
[7,5,2,6,1,8,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[5,3,1,4,6,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,5,6,1,4,8,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[8,4,1,5,2,6,7,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[5,3,4,1,6,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[6,5,8,2,7,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[7,5,8,2,1,6,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[4,8,3,7,6,2,1,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,1,6,3,7,2,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,4,7,8,6,3,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[7,3,1,8,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[4,8,3,2,7,6,5,1] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => 0
[4,8,1,3,6,2,7,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[1,4,7,3,6,8,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[6,5,2,8,7,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[1,4,7,5,8,2,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,3,2,8,6,1,5,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,5,8,2,6,1,4,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[9,7,8,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => 0
[2,1,8,7,4,6,5,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[6,5,3,8,1,7,2,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[6,5,3,4,1,8,2,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[4,8,5,2,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,4,8,3,6,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,3,6,2,5,4,8,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,8,5,2,6,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[1,4,7,5,8,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,5,2,6,1,4,8,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,8,1,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[4,3,1,8,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,2,6,5,3,1,4,8] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,5,8,1,4,2,3,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,4,6,8,3,1,2,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[4,3,8,1,7,5,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[7,5,2,4,1,3,8,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,2,6,8,5,1,3,4] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => 1
[7,4,3,8,1,6,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[1,6,2,7,5,3,4,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[1,4,3,7,6,2,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[1,6,2,5,7,3,8,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[8,4,5,1,2,6,7,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[4,8,5,6,1,2,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,3,6,5,8,2,4,1] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[3,4,5,8,6,1,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[3,4,5,8,6,1,2,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => 4
[6,8,5,1,7,4,2,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => 2
[5,3,6,7,4,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[4,8,1,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,3,1,6,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[8,9,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => 1
[8,7,9,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => 1
[8,7,9,6,5,4,2,3,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[5,6,3,7,8,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[5,4,3,8,1,7,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,8,2,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[1,4,7,5,6,2,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,4,8,3,1,6,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[1,4,7,2,5,3,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[4,8,1,5,6,2,3,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => 4
[7,5,1,2,3,8,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[7,3,8,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[5,8,4,3,7,1,2,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[4,8,5,2,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[7,4,8,6,5,3,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[8,4,1,5,6,2,7,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[4,8,7,3,5,1,6,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => 2
[1,4,7,5,2,3,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[1,4,7,5,8,2,6,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => 3
[7,4,3,8,6,1,5,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,4,3,1,6,5,2,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[1,6,7,2,5,8,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => 4
[7,8,5,6,2,4,3,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,5,1,8,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[8,1,6,2,3,7,4,5] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => 4
[4,2,8,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => 1
[10,2,3,1,4,5,6,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[9,2,3,4,1,5,6,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[7,8,5,1,4,6,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => 2
[7,3,1,4,5,6,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => 3
[3,8,7,2,6,1,4,5] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => 1
[8,4,5,1,6,7,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => 4
[4,8,6,5,7,1,3,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[5,3,1,6,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => 3
[7,3,2,6,5,8,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => 0
[7,4,8,6,3,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => 1
[7,1,6,3,5,4,8,2] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => 1
[9,8,10,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,10,1] => 1
[8,7,9,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[8,9,7,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[8,9,7,6,5,4,2,3,1] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[9,2,3,4,5,1,6,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => 5
[10,2,3,4,5,6,7,1,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[10,2,3,4,5,6,1,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[10,2,3,4,5,1,6,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[10,2,3,4,1,5,6,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => 6
[7,5,2,1,8,4,3,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[2,8,7,4,1,3,6,5] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => 0
[10,8,7,6,9,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => 0
[8,7,6,5,4,2,3,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => 0
[9,8,6,5,4,3,7,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => 0
[7,5,8,2,4,3,6,1] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => 0
[7,1,8,6,4,2,3,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => 2
[1,4,7,6,8,3,5,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
[9,7,6,5,4,3,2,8,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => 0
[5,8,7,4,6,3,1,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => 1
[8,3,7,6,2,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => 0
[10,8,9,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => 0
[4,1,3,8,6,2,5,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => 1
[6,5,2,4,1,8,3,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => 0
[10,8,7,6,5,4,3,2,9,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => 0
[6,5,8,3,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => 1
[7,8,5,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => 3
[9,7,6,5,4,3,8,2,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => 0
[9,8,6,5,4,7,3,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => 0
[10,8,7,6,5,4,3,9,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => 0
[1,4,3,7,6,2,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => 1
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 3,2,1 9,11,3,1 39,48,28,4,1 189,297,166,62,5,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 3 + 2\ q + q^{2}$
$F_{4} = 9 + 11\ q + 3\ q^{2} + q^{3}$
$F_{5} = 39 + 48\ q + 28\ q^{2} + 4\ q^{3} + q^{4}$
$F_{6} = 189 + 297\ q + 166\ q^{2} + 62\ q^{3} + 5\ q^{4} + q^{5}$
Description
The number of adjacencies of a permutation.
An adjacency of a permutation $\pi$ is an index $i$ such that $\pi(i)-1 = \pi(i+1)$. Adjacencies are also known as small descents.
This can be also described as an occurrence of the bivincular pattern ([2,1], {((0,1),(1,0),(1,1),(1,2),(2,1)}), i.e., the middle row and the middle column are shaded, see [3].
An adjacency of a permutation $\pi$ is an index $i$ such that $\pi(i)-1 = \pi(i+1)$. Adjacencies are also known as small descents.
This can be also described as an occurrence of the bivincular pattern ([2,1], {((0,1),(1,0),(1,1),(1,2),(2,1)}), i.e., the middle row and the middle column are shaded, see [3].
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
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