Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00141: Binary trees —pruning number to logarithmic height⟶ Dyck paths
Mp00023: Dyck paths —to non-crossing permutation⟶ Permutations
St000237: Permutations ⟶ ℤ
Values
[1] => [.,.] => [1,0] => [1] => 0
[1,2] => [.,[.,.]] => [1,0,1,0] => [1,2] => 0
[2,1] => [[.,.],.] => [1,1,0,0] => [2,1] => 1
[1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => [1,2,3] => 0
[1,3,2] => [.,[[.,.],.]] => [1,0,1,1,0,0] => [1,3,2] => 1
[2,1,3] => [[.,.],[.,.]] => [1,1,1,0,0,0] => [3,2,1] => 0
[2,3,1] => [[.,.],[.,.]] => [1,1,1,0,0,0] => [3,2,1] => 0
[3,1,2] => [[.,[.,.]],.] => [1,1,0,0,1,0] => [2,1,3] => 1
[3,2,1] => [[[.,.],.],.] => [1,1,0,1,0,0] => [2,3,1] => 2
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 0
[1,2,4,3] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 1
[1,3,2,4] => [.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[1,3,4,2] => [.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[1,4,2,3] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 1
[1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 2
[2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 0
[2,1,4,3] => [[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[2,3,1,4] => [[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 0
[2,3,4,1] => [[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 0
[2,4,1,3] => [[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[2,4,3,1] => [[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[3,1,2,4] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 0
[3,1,4,2] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 0
[3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 1
[3,2,4,1] => [[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 1
[3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 0
[3,4,2,1] => [[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 1
[4,1,2,3] => [[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 1
[4,1,3,2] => [[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 2
[4,2,1,3] => [[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[4,2,3,1] => [[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[4,3,1,2] => [[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 2
[4,3,2,1] => [[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 3
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 1
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 1
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 2
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 1
[1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 1
[1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 1
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 1
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 1
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 2
[1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 1
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 2
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 3
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 0
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,1,5,3,4] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 2
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 0
[2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 0
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 0
[2,3,5,1,4] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[2,4,1,3,5] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,4,1,5,3] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,4,5,3,1] => [[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 0
[2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 2
[2,5,3,1,4] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 2
[2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 2
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 0
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 1
[3,5,1,2,4] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
>>> Load all 4234 entries. <<<[3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 0
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 0
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[4,1,3,5,2] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 0
[4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 1
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 1
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 1
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 0
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 0
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 1
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 1
[5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 2
[5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 2
[5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 3
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 2
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 2
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 2
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 2
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 2
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 2
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 2
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 3
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 2
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 2
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 3
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 4
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 0
[1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 0
[1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 1
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => 2
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 0
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 1
[1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 0
[1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 0
[1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 1
[1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 1
[1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => 0
[1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => 0
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => 0
[1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 1
[1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 1
[1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 2
[1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => 1
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => 1
[1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 2
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 3
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 0
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 1
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 2
[1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 0
[1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 1
[1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 0
[1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 0
[1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 1
[1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 1
[1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 2
[1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 1
[1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 2
[1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 2
[1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => 0
[1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 1
[1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 1
[1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 2
[1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => 0
[1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => 0
[1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => 1
[1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => 1
[1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => 0
[1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => 1
[1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => 1
[1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => 1
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => 2
[1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => 2
[1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => 1
[1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => 2
[1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => 0
[1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => 1
[1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => 1
[1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => 2
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 1
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 2
[1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => 1
[1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => 1
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 2
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 3
[1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 2
[1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 1
[1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 2
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 2
[1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => 1
[1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => 1
[1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 2
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 2
[1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => 1
[1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 2
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 2
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 3
[1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 2
[1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 2
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 3
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 4
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 0
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 2
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[2,1,6,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,1,6,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,1,6,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 3
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 0
[2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 2
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 0
[2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 0
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 0
[2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 0
[2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 2
[2,3,6,4,1,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 2
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 2
[2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,3,6,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 0
[2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,4,6,5,3,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,1,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,3,1,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,4,1,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,4,1,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,6,1,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,6,3,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 0
[2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,5,6,4,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,6,1,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,1,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 3
[2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[2,6,3,1,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,6,3,4,1,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[2,6,3,5,1,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 2
[2,6,4,1,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,4,1,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,4,3,1,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,4,5,1,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[2,6,5,1,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 3
[2,6,5,3,1,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 2
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 3
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 3
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,1,2,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,5,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,1,6,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,1,6,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,2,4,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,2,5,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,5,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,5,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,2,6,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,2,6,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 0
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 1
[3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,6,1,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,6,2,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,4,6,5,1,2] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,2,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,4,6,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,6,1,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,6,2,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,6,2,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,5,6,4,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 0
[3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 1
[3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,1,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,1,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,1,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,6,2,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,6,4,1,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,4,2,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,4,2,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[3,6,4,5,2,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[3,6,5,1,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 2
[3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 3
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,3,6,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,1,3,6,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,3,6,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,2,6,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,6,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,6,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,1,2,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,3,6,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 0
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 0
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 1
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,6,1,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,6,2,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,3,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 2
[4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 1
[4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 3
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 0
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 0
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[5,1,2,4,6,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 0
[5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,3,4,6,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,3,6,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 2
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 2
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 2
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 0
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[5,1,6,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 2
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,1,4,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,1,4,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,4,1,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,4,1,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,4,6,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 1
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 1
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 1
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 3
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 3
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 3
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 1
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 3
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 0
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 0
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 2
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 0
[5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 1
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 0
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 1
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 1
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 1
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 3
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 1
[6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 2
[6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => 1
[6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => 1
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 2
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 3
[6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 1
[6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 1
[6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 1
[6,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[6,1,3,5,4,2] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 2
[6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => 1
[6,1,4,2,5,3] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => 1
[6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 2
[6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 2
[6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => 1
[6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 2
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 2
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 3
[6,1,5,3,2,4] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 2
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 3
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 4
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 2
[6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 2
[6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 3
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[6,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 2
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[6,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 2
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 2
[6,2,4,1,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[6,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 2
[6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 3
[6,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 2
[6,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 2
[6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 3
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 3
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,1,2,5,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,1,5,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 2
[6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 2
[6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 3
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[6,4,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 2
[6,4,1,3,5,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 2
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 2
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 2
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 2
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 3
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 3
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 2
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 3
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 2
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 2
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 3
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 2
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 3
[6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 2
[6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 2
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 3
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 4
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 2
[6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 3
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 2
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 2
[6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 3
[6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 3
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 2
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 2
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 3
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 3
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 2
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 3
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 3
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 4
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 3
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 3
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 4
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 5
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => 1
[1,5,3,2,4,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,2,4,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,2,6,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,2,6,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,2,7,4,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,2,7,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,4,6,2,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,4,6,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,4,7,2,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,4,7,6,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,6,4,2,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,6,4,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,6,7,2,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,6,7,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,3,7,2,4,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,7,4,2,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,7,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,7,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,3,7,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,6,3,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,3,2,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,3,4,2,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,3,4,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,3,7,2,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,3,7,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,7,3,2,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,6,7,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => 0
[1,5,7,3,2,4,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,3,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,3,4,2,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,3,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,3,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,3,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,6,3,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,5,7,6,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 1
[1,6,2,4,3,5,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,4,3,7,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,4,5,3,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,4,5,7,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,4,7,3,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,4,7,5,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,5,4,3,7] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => 2
[1,6,2,5,4,7,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => 2
[1,6,2,5,7,4,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => 2
[1,6,2,7,4,3,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,7,4,5,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,2,7,5,4,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => 2
[1,6,3,2,5,4,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,2,5,7,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,2,7,5,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,2,4,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,7,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,5,7,4,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,7,2,5,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,3,7,5,4,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,4,2,3,5,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,2,3,7,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,2,5,3,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,2,5,7,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,2,7,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,2,7,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,3,2,5,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,3,2,7,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,3,7,5,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,5,2,3,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,5,2,7,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,5,3,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,5,3,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,5,7,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,7,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,7,3,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,7,3,5,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,4,7,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,4,7,5,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,5,2,4,3,7] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => 2
[1,6,5,2,4,7,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => 2
[1,6,5,2,7,4,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => 2
[1,6,5,3,2,4,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,3,2,7,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,3,4,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,3,4,7,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,3,7,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,3,7,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,4,2,3,7] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => 2
[1,6,5,4,2,7,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => 2
[1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => 3
[1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => 3
[1,6,5,4,7,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => 2
[1,6,5,4,7,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => 3
[1,6,5,7,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => 2
[1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,7,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,5,7,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => 2
[1,6,5,7,4,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => 3
[1,6,7,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,7,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => 0
[1,6,7,2,5,4,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => 2
[1,6,7,3,2,5,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,7,3,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,7,3,5,4,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 1
[1,6,7,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,7,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,7,4,3,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,7,4,3,5,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => 0
[1,6,7,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => 1
[1,6,7,5,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => 2
[1,6,7,5,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,7,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => 1
[1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => 2
[1,6,7,5,4,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => 3
[1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 1
[1,7,5,3,2,4,6] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,3,2,6,4] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,3,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,3,6,2,4] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,3,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,6,3,2,4] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 1
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 0
[2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[2,7,6,1,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[2,7,6,5,1,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[2,7,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 4
[3,1,2,7,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,1,7,2,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,1,7,6,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,1,7,6,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,1,7,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,2,7,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,2,7,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,2,7,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,4,2,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,2,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,2,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,6,2,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,6,2,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 1
[3,7,1,2,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,1,6,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,1,6,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,2,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,2,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,2,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,2,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,1,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,1,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,1,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,2,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,2,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,2,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,5,1,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,5,1,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,5,2,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,5,2,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[3,7,6,5,4,1,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => 3
[3,7,6,5,4,2,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 4
[4,1,2,3,7,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,2,7,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,2,7,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,2,7,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,2,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,2,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,2,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,6,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,6,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,1,7,6,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,2,1,3,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,3,6,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,3,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,5,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,1,6,7,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,1,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,1,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,5,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,7,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,3,6,7,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,3,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,2,6,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,3,1,2,7,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,1,7,2,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,1,7,6,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,1,7,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,1,2,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,1,6,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,6,1,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,6,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,3,7,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,6,2,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,3,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,2,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,1,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,1,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,3,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,3,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,7,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,2,7,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,7,2,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,5,7,2,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,2,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,5,2,1,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,6,7,5,2,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 0
[4,7,1,2,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,1,2,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,1,2,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,1,6,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,1,6,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,1,6,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,3,1,2,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,3,1,6,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,3,6,1,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,3,6,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,3,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,6,1,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,6,1,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,6,1,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,6,3,1,2,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,6,3,1,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,6,3,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[4,7,6,5,1,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => 2
[4,7,6,5,3,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => 3
[5,1,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,2,3,7,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,2,7,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,2,7,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,2,7,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,4,3,2,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,4,3,6,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,4,3,6,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,4,6,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,4,6,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,4,6,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,6,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,6,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,6,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,6,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,7,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,7,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,1,7,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,2,1,3,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,3,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,1,3,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,3,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,3,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,1,3,7,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,1,6,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,6,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,6,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,1,7,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,1,7,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,1,7,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,1,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,1,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,1,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,1,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,1,7,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,4,7,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,6,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,6,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,6,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,6,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,7,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,7,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,3,7,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,6,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,7,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,6,7,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,2,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,1,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,3,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,6,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,6,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,2,7,6,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,4,1,3,2,6,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,1,3,6,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,1,3,6,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,1,6,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,1,6,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,1,6,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,3,1,2,6,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,1,6,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,1,6,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,3,6,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,6,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,6,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,3,6,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,3,6,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,6,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,6,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,6,1,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,6,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,6,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,6,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,6,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,6,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,4,6,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,4,6,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,4,6,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,6,1,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,6,1,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,6,1,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,6,1,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,6,2,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,7,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,2,7,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,4,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,6,4,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,6,4,1,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,6,4,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,6,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,6,4,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,6,4,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,6,4,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,6,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,6,7,1,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,4,5,3,1,7] => 2
[5,6,7,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,7,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,7,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,5,3,4,2,1,7] => 0
[5,6,7,4,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,3,2,5,4,1,7] => 2
[5,6,7,4,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,4,2,5,1,7] => 2
[5,6,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,3,4,5,2,1,7] => 3
[5,7,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,7,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,7,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,7,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,7,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => 1
[5,7,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[5,7,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 1
[6,1,3,2,4,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,2,4,7,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,2,7,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,2,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,2,7,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,5,2,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,5,7,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,7,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,4,7,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,7,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,7,4,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,3,7,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,7,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,7,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,1,7,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,2,1,3,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,1,3,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,1,3,5,4,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,1,3,5,7,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,1,3,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,1,3,7,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,1,5,3,4,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,1,5,3,7,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,1,5,7,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,1,7,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,1,7,3,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,1,7,5,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,3,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,1,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,1,5,4,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,1,5,7,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,1,7,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,4,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,4,7,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,5,1,4,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,5,7,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,5,7,4,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,7,1,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,7,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,7,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,3,7,5,4,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,5,1,3,4,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,1,3,7,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,1,7,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,1,4,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,1,7,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,4,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,4,7,1] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,7,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,3,7,4,1] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,7,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,5,7,3,4,1] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,7,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,7,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,7,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,7,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,7,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,7,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,7,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,2,7,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,7,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,2,7,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,7,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,2,7,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,3,1,2,4,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,2,4,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,2,7,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,5,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,5,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,4,7,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,7,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,7,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,1,7,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,2,1,4,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,1,4,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,1,7,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,4,7,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,7,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,7,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,2,7,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,1,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,1,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,1,5,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,1,5,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,1,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,1,7,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,2,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,2,1,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,2,7,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,5,1,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,5,1,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,7,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,7,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,7,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,7,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,4,7,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,4,7,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,3,7,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,3,7,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,5,2,1,3,4,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,1,3,7,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,1,7,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,1,4,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,1,7,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,4,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,7,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,7,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,7,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,2,7,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,7,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,7,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,5,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,7,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,7,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,7,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,2,5,4,3,1,7] => 0
[6,7,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,7,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,7,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,7,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,7,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,7,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,7,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 0
[6,7,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,7,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 1
[6,7,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,7,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,7,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 1
[6,7,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,4,3,2,5,1,7] => 0
[6,7,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,4,3,5,2,1,7] => 1
[6,7,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,7,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[6,7,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,3,5,4,2,1,7] => 1
[7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 1
[7,1,5,3,2,4,6] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,3,2,6,4] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,3,4,2,6] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,3,4,6,2] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,3,6,2,4] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,3,6,4,2] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,6,3,2,4] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,1,5,6,3,4,2] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 1
[7,5,2,1,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,1,3,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,1,6,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,1,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,1,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,4,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,6,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,3,6,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,6,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,6,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,2,6,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,6,2,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,6,2,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,5,6,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 1
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 2
[7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 3
[7,6,5,1,2,4,3] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 4
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 4
[7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 5
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 5
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => 6
[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => 7
[3,4,5,6,7,8,2,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[7,8,5,6,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,8,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,8,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,4,5,6,7,2,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[7,5,6,2,3,4,8,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,2,3,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,5,2,3,4,6,8,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,2,3,4,5,6,8,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,4,5,6,2,7,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,4,5,2,6,7,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[5,2,3,4,6,7,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,2,5,6,7,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,2,4,5,6,7,8,1] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[8,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 6
[8,7,6,5,4,1,2,3] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 5
[8,7,6,4,5,1,2,3] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => 3
[7,8,5,6,2,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,6,8,2,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,8,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,8,5,6,2,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,6,8,2,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,8,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[8,7,6,5,1,2,3,4] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 4
[8,7,6,4,1,2,3,5] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => 3
[7,8,5,2,3,4,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,8,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,8,5,2,1,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,8,2,3,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,8,2,3,1,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,8,2,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 1
[3,4,5,6,7,2,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[7,5,6,2,3,4,1,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,2,3,4,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,2,3,4,5,6,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,4,5,6,2,7,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,4,5,2,6,7,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[5,2,3,4,6,7,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,2,5,6,7,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,2,4,5,6,7,1,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[7,5,6,2,3,1,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,2,3,1,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,5,6,2,1,3,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,7,2,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,5,2,3,4,1,6,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,2,3,4,5,1,6,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,5,2,3,1,4,6,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,2,3,4,1,5,6,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,2,3,1,4,5,6,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,2,1,3,4,5,6,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,4,5,6,2,1,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[5,6,2,3,4,1,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,5,2,6,1,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[5,2,3,4,6,1,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,2,5,6,1,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,2,4,5,6,1,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[5,6,2,1,3,4,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,5,2,1,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[5,2,3,4,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,2,5,1,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,2,4,5,1,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[5,2,3,1,4,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,1,3,4,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,2,1,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[3,2,4,1,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 1
[2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 0
[1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => 0
[3,8,7,6,5,4,2,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,4,7,6,5,8,2,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,8,7,6,5,4,3,1] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[2,4,6,8,7,5,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,7,8,5,3,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,5,4,7,8,6,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,5,7,8,6,3,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,6,5,8,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,7,5,8,3,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,5,4,7,6,8,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,6,5,7,8,3,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,8,7,6,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[2,3,5,7,8,6,4,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,7,6,8,4,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[3,4,2,7,8,6,5,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,3,6,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,7,8,5,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,4,7,8,6,5,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,5,4,3,7,8,6,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,5,3,7,8,6,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,5,4,7,8,6,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,4,5,7,8,6,1] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,4,6,5,3,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[3,4,7,6,5,2,8,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,6,7,5,3,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,5,4,7,6,3,8,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,6,5,7,3,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,3,5,7,6,4,8,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[3,4,2,7,6,5,8,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,3,6,7,5,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,4,7,6,5,8,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,5,4,3,7,6,8,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,3,5,4,7,6,8,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,4,3,5,7,6,8,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,4,5,7,6,8,1] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,4,6,5,3,7,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,3,6,5,7,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,3,5,7,8,6,4,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,4,6,7,8,5,2] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,4,6,7,5,8,2] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,5,4,7,6,8,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,4,6,5,7,8,2] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[2,1,5,7,8,6,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,5,7,6,8,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,4,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,7,8,5,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,5,4,7,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,4,5,7,8,6,3] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,1,4,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,5,7,6,4,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,4,6,7,5,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,5,4,7,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[3,2,1,8,7,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[2,3,1,5,7,8,6,4] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,1,5,7,6,8,4] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[1,3,2,5,7,8,6,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => 4
[3,4,2,1,7,8,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,4,2,1,7,6,8,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,3,1,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,1,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,4,1,7,8,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,2,4,1,7,6,8,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[1,3,4,2,6,7,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,3,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,1,4,7,8,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,2,1,4,7,6,8,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[1,3,2,4,6,7,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[2,5,4,3,1,7,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,5,3,1,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,3,5,1,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,4,5,1,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[1,3,5,4,2,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,2,5,4,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[2,1,3,5,4,7,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,4,1,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,1,4,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,1,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,1,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,4,6,5,3,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,5,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,1,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,7] => 1
[3,4,7,6,5,2,1,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,5,7,6,4,3,1,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,6,7,5,3,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,5,4,7,6,3,1,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,3,5,7,6,4,1,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[3,4,2,7,6,5,1,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,3,4,5,7,6,1,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,4,3,6,5,7,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,3,5,7,6,4,2,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,4,6,7,5,2,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,5,4,7,6,2,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,4,6,5,7,2,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,2,5,7,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[3,2,4,1,7,6,5,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[1,3,4,2,6,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[2,1,4,3,6,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,2,1,4,7,6,5,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[1,3,2,4,6,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[2,5,4,3,1,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,5,3,1,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,5,4,1,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,4,3,5,1,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,4,5,1,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[1,3,5,4,2,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[2,1,5,4,3,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,3,1,5,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[2,3,4,1,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,3,1,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,1,3,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,4,6,5,3,1,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,3,6,5,1,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,5,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,3,1,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,3,2,4,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,2,7,5,6,8,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,5,3,4,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,4,2,7,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,3,4,2,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,5,3,4,6,2,8,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,3,4,6,7,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,4,8,6,7,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,7,3,5,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,6,4,3,5,8,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,6,4,5,3,2,8,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,6,4,5,3,8,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[2,1,4,8,5,7,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,3,1,7,5,6,4,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,3,7,5,4,6,1,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,3,7,5,4,6,8,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,3,7,5,6,4,1,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,3,7,5,6,4,8,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,4,3,8,5,7,6,1] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,8,3,5,4,7,6,1] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[2,8,3,5,7,6,4,1] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[2,8,3,7,5,6,4,1] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[2,7,4,3,5,6,8,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,7,4,5,6,3,1,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,7,4,5,6,3,8,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[3,2,6,4,5,1,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,7,4,6,5,1,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,2,7,4,6,5,8,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,2,3,1,6,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,3,1,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,3,1,6,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,3,1,6,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,3,6,5,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,3,8,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,3,4,1,6,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,3,4,1,8,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,3,4,6,1,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,3,4,8,6,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,3,4,8,7,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,3,4,5,1,8,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,3,4,5,8,7,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,3,5,4,1,8,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,2,3,5,4,6,1,8] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,5,6,4,1,8] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[8,2,3,5,7,6,4,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[8,2,3,7,5,6,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 2
[7,2,4,5,3,6,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,2,4,5,3,6,8,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,3,2,4,1,7,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,4,7,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,2,1,7,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,2,7,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,2,7,6,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,4,2,5,1,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,4,5,2,1,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,4,5,2,8,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,4,1,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,1,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,1,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,1,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,7,1,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,3,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,1,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,7,1,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,4,6,7,8,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,7,8,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,7,8,1,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,5,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,1,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,1,7,3,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,1,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,1,5,3,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,1,3,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,1,4,5,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,1,5,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,1,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,1,4,5,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,1,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,7,1,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,4,5,7,8,1,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,3,5,1,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,7,1,4,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,1,7,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,7,1,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,1,5,7,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,7,1,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,5,7,8,1,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,3,4,5,7,1,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,3,4,5,7,1,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[2,3,4,5,7,8,1,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 0
[3,1,4,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,1,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,1,4,7,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,7,1,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,1,4,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,7,1,8,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,7,8,1,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,1,4,2,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,1,2,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[1,3,5,2,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,2,5,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,2,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,2,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,2,7,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,2,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,2,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,2,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,8,2,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,4,6,2,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,4,6,2,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,4,6,7,2,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[1,3,4,6,7,2,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 0
[3,1,2,4,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,1,2,4,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,1,2,4,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[1,8,2,3,4,5,6,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 1
[1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 1
[1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => 1
[5,4,6,2,1,3,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,3,2,7,1,8,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,8,1,7,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,1,10,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 7
[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,1] => 9
[4,2,6,1,3,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,2,8,1,3,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,8,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[4,2,6,7,1,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,6,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,2,6,8,1,4,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,6,8,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,6,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,2,4,8,1,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,2,5,1,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,8,2,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,2,7,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,8,2,4,1,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,3,2,7,1,4,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,2,6,1,3,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,3,2,8,1,4,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,5,2,8,1,3,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[8,7,4,6,1,2,3,5] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[5,8,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,4,2,6,8,1,3,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,3,2,7,8,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,2,6,8,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[8,7,3,4,6,1,2,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[5,3,7,2,6,1,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,8,2,7,1,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[7,5,8,2,6,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,7,4,1,3,5,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,5,4,1,7,3,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,3,7,5,1,4,8,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,7,4,5,1,3,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,7,4,8,1,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,3,7,5,6,1,8,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,7,4,5,6,1,8,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9] => 1
[2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,1,5,7,4,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,5,7,4,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,6,7,2,8,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,8,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,8,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,8,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,8,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,8,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,5,4,7,6,1,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[7,8,2,4,5,1,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,8,2,3,1,5,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[6,2,8,3,1,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,3,8,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,5,3,7,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[4,2,1,3,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,1,8,3,4,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,8,1,3,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[8,7,4,1,6,2,3,5] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[4,8,7,1,6,2,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[5,4,2,6,8,1,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,3,2,7,1,8,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,7,1,6,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,7,1,6,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,5,8,7,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,3,2,7,1,4,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,8,2,1,7,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,8,2,1,4,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,8,2,1,4,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,2,1,8,3,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,8,1,3,7,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,2,8,3,1,7,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,3,8,1,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,1,2,3,8,7,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[1,5,3,8,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[4,6,8,2,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,1,3,2,6,4,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[8,1,3,2,5,4,7,6] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[2,1,8,3,5,4,7,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[8,1,5,3,7,2,6,4] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[2,1,4,3,8,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,2,8,3,7,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,7,3,8,2,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,8,2,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,6,2,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,2,7,3,8,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,7,3,1,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,1,7,3,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,5,8,2,1,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,7,3,8,2,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,4,7,8,2,6,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,7,3,8,2,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,7,4,1,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,4,5,8,3,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,4,5,3,7,1,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[1,5,3,6,7,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[4,2,6,7,8,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,7,8,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,7,8,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,5,8,2,1,6,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[1,5,6,3,4,8,7,2] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[4,6,2,7,3,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,6,8,4,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,8,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,8,2,3,1,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[1,5,7,3,8,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,8,3,7,6,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[6,5,1,3,2,8,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[4,6,2,1,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,1,4,8,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,7,1,8,4,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,1,2,8,7,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[1,6,5,3,4,8,7,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,7,5,3,8,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[4,8,1,2,7,3,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[1,5,8,3,7,4,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[2,1,5,4,7,3,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,2,6,3,7,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,3,7,1,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,1,7,3,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,1,7,3,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,3,7,1,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,3,7,5,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,5,7,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,5,7,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,1,7,5,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,4,5,7,3,1,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[1,7,3,5,6,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[2,3,5,7,6,8,1,4] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[4,2,6,8,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,3,7,2,1,8,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,8,2,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,6,2,4,5,1,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,8,3,2,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,7,8,4,5,3,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,4,3,1,8,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,5,7,4,8,6,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,6,5,3,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,4,2,1,6,8,3,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[1,5,8,6,3,7,4,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,2,6,3,8,7,4,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,2,6,8,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,8,7,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,5,2,3,1,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,8,6,2,3,1,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[3,2,1,6,4,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,8,7,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,5,8,2,3,1,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[4,6,2,1,3,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,1,4,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,4,6,3,7,5,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,7,4,2,8,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,1,8,2,7,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[3,6,2,4,1,5,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,8,1,2,7,6,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,4,2,8,5,7,6,1] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[5,6,2,1,8,7,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,2,5,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,5,2,6,3,8,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,8,3,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,7,8,4,5,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,3,8,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,1,4,8,3,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,5,2,8,3,1,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,5,2,8,3,1,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,5,8,2,1,3,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,1,6,8,7,3,4,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,5,2,8,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,6,8,2,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,5,2,8,3,4,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,5,2,8,3,7,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,1,6,8,7,3,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,7,8,6,3,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,2,6,3,8,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,4,8,1,5,7,3,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[4,6,7,5,2,1,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,6,5,8,3,2,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[5,1,6,3,4,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,2,3,5,4,8,1,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,8,7,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,3,7,8,2,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,8,7,6,5,4,1,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[5,8,2,6,3,7,1,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,5,7,4,8,1,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,3,7,2,4,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,6,8,2,7,1,4,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,8,7,6,1,2,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[2,3,4,5,6,7,8,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,7,8,9,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,7,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[5,3,2,7,4,6,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,2,1,8,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,2,3,1,8,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,8,5,2,3,6,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,8,2,1,7,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[1,8,2,7,3,4,5,6] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 2
[5,4,1,3,6,8,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[1,5,3,4,6,8,2,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[3,7,8,2,4,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[8,1,5,3,7,2,4,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[8,1,4,3,2,5,7,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[5,6,2,1,3,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,3,7,8,2,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,1,7,8,4,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,8,2,3,4,7,5,6] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 2
[1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 2
[1,8,2,7,3,6,4,5] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 3
[4,6,2,7,5,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,8,4,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,6,2,8,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,8,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,8,4,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[3,2,6,8,4,1,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,8,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,7,8,1,4,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[1,3,7,5,2,6,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,7,5,4,2,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[7,2,8,4,5,6,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,2,3,8,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,4,8,5,1,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,1,8,7,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,2,4,7,8,6,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,8,5,1,3,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[4,6,5,7,8,2,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,1,6,7,8,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,7,3,2,6,8,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,7,4,8,2,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,6,4,8,2,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,1,6,8,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,1,7,5,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,8,4,1,7,5,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,3,2,7,6,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,3,2,1,7,6,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,4,6,1,7,5,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,3,5,1,7,6,8,4] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[1,3,5,2,7,6,8,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[2,8,3,5,7,6,1,4] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[6,8,2,3,5,7,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,3,2,1,4,5,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,7,8,4,2,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,6,2,8,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,5,2,1,8,3,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,4,6,7,3,8,5,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[4,2,6,7,3,1,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,8,2,7,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,8,7,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,8,2,1,7,3,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[1,6,8,4,3,7,5,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,6,2,8,1,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[1,6,4,8,3,7,5,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,8,5,7,2,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,8,5,2,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[8,7,4,1,6,5,2,3] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[8,7,4,1,6,2,5,3] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[8,7,6,5,4,1,3,2] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 6
[1,5,3,2,7,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,2,3,1,8,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,1,3,8,7,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,3,1,6,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,6,3,4,1,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,8,6,7,3,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,1,7,4,5,3,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,2,3,1,8,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[2,1,7,4,8,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,8,2,4,5,6,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,2,5,3,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,4,7,1,5,2,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[1,7,3,8,5,2,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[5,7,8,6,3,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,6,4,3,8,2,5,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[2,4,5,1,7,8,6,3] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[7,2,1,4,8,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,6,2,7,3,1,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,2,3,5,4,1,6,8] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,8,2,3,7,6,4,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[2,5,7,8,1,4,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,2,1,8,6,3,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,8,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,6,1,7,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,1,4,7,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,7,5,1,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,7,4,1,5,8,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,3,7,1,5,8,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,2,8,1,3,7,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,6,2,3,7,8,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[6,8,4,7,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,8,3,1,7,5,4,6] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[5,2,8,7,1,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,2,3,7,5,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,8,3,7,6,4,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,1,8,7,2,6,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,1,2,8,7,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,8,1,3,7,5,4,6] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[6,2,1,8,7,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[8,1,4,5,3,7,6,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[6,4,1,8,3,2,7,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8] => 1
[2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9] => 1
[2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,9,11,10] => 1
[1,2,8,3,7,4,5,6] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 2
[8,1,7,2,6,3,5,4] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 4
[3,2,8,7,1,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[8,7,6,1,5,4,3,2] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 6
[1,8,7,2,6,5,3,4] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 4
[4,6,2,1,5,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,7,1,4,6,5,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[8,7,1,2,3,6,5,4] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 4
[4,8,2,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[8,1,2,3,4,5,7,6] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 2
[2,8,3,1,5,7,4,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[2,4,1,6,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[5,3,7,2,6,4,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,1,8,7,2,3,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[4,2,1,6,5,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,2,3,1,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,2,1,3,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,1,3,2,8,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,7,3,2,8,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,8,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,7,3,8,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,3,4,5,8,7,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,8,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,6,4,2,8,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,6,1,8,7,3,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,4,1,5,3,8,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,6,5,3,4,8,2,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[4,2,8,5,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,6,8,2,4,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,7,3,8,2,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,7,4,8,5,6,1,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,7,3,8,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,8,2,7,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,8,2,7,3,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,7,2,8,4,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,8,5,7,2,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,8,2,6,1,7,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9] => 0
[1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10] => 0
[3,2,4,5,6,7,8,9,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[5,6,4,8,2,7,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,6,4,8,2,3,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,7,3,6,2,8,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,6,2,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,5,7,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,7,3,4,2,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,4,2,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,3,7,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,8,3,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,8,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,8,5,2,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,6,5,2,1,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,4,2,3,1,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,4,6,1,3,2,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[5,6,8,7,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,3,2,8,7,4,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[8,1,3,7,4,6,5,2] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => 3
[8,1,3,5,4,7,6,2] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[1,7,5,6,3,2,4,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,7,3,2,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,8,2,3,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,1] => 8
[1,7,3,8,5,2,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[7,2,3,1,8,5,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[6,2,1,8,3,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,8,3,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,8,2,1,4,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,7,5,3,4,6,8,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[5,2,6,3,1,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,8,4,1,3,2,5,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,3,6,7,1,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,2,3,1,4,5,8,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[5,2,8,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,8,1,3,4,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 1
[11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10,11] => 1
[5,7,8,3,2,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,7,8,4,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,7,8,3,2,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,6,4,8,2,5,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,5,8,7,2,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,4,8,5,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,5,1,4,3,7,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,6,2,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,6,7,2,3,1,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,1,7,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,1,5,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,8,2,4,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,4,1,8,5,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[4,2,6,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,6,1,8,3,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,2,6,1,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,1,7,5,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,5,7,4,1,6,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,7,4,1,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,6,2,1,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,5,7,4,8,1,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,6,1,7,8,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,7,1,4,8,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,3,2,8,1,4,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,2,3,1,5,4,8,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,4,5,1,3,2,8,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[8,1,5,3,4,2,7,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[8,1,7,3,4,2,6,5] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7] => 3
[8,1,7,2,4,3,6,5] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => 3
[8,1,3,2,7,4,6,5] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => 3
[2,1,8,3,7,4,6,5] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 3
[8,2,3,1,7,4,6,5] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => 3
[8,2,3,1,5,4,7,6] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[4,2,3,1,8,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[8,2,3,1,7,5,6,4] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 2
[2,1,8,3,7,5,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[8,1,7,2,6,4,5,3] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => 3
[6,5,8,1,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[1,5,8,7,3,6,2,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[3,6,2,8,4,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,2,8,7,3,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,2,7,8,4,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[1,7,5,8,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[5,6,8,4,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[1,6,8,4,5,3,2,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,7,3,8,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[7,2,3,8,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,6,2,8,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,2,7,3,4,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,6,2,8,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,2,3,1,7,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,6,2,5,1,7,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,5,1,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,7,3,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,2,7,3,8,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,8,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,2,8,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,4,2,5,6,7,8,9,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,2,4,5,6,7,8,9,10,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[6,3,8,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,5,7,3,6,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,8,2,1,7,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[2,5,7,1,8,6,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,7,8,1,6,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[3,2,8,1,7,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[4,1,8,7,2,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[4,8,1,7,2,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,8,1,2,7,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,4,6,1,3,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[8,1,3,5,7,2,6,4] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[4,2,6,1,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,6,2,1,4,8,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,6,2,1,8,3,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,5,2,1,8,3,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,3,2,1,4,8,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,2,3,1,4,8,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,4,3,6,1,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,5,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[4,2,6,5,3,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,5,1,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,5,8,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,5,8,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,5,8,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,1,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,5,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[4,2,6,5,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,8,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,8,1,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,8,5,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,8,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,1,5,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[4,2,6,8,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,8,3,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,3,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,3,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,1,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,8,5,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,8,5,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,8,1,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,1,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,1,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[4,6,5,2,8,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,3,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,1,4,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,1,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,1,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,1,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,3,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[4,6,2,8,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,1,7,4,5,8,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,8,2,1,7,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,5,1,3,4,8,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[1,5,3,2,8,4,6,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[6,2,8,3,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[4,8,2,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,2,7,1,4,6,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,8,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,6,8,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,7,1,3,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,6,1,8,4,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,6,1,8,7,4,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,6,8,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,7,1,8,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,6,8,7,4,3,2,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[7,8,2,1,4,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,4,6,3,7,1,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[7,2,3,5,4,1,8,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[2,8,3,5,4,1,7,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[4,2,6,3,8,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[9,8,7,6,5,4,1,2,3] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9] => 6
[9,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,1,9] => 7
[10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,10] => 8
[4,2,8,5,1,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,6,7,2,5,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,4,6,1,7,5,3,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,4,6,2,8,1,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,7,3,2,1,6,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,1,6,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,5,4,1,3,7,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[3,6,8,2,1,7,4,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,4,1,6,3,2,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[5,7,3,6,2,8,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,4,1,5,8,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,4,1,5,8,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,4,1,5,8,3,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,8,2,7,1,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,8,1,7,2,6,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[2,8,3,7,5,6,1,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[2,8,3,7,4,6,1,5] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 3
[5,2,3,8,4,6,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,8,2,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,7,3,8,4,6,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[8,7,3,1,4,6,2,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[3,6,2,4,8,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,4,7,2,8,1,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[6,5,1,3,4,2,8,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[7,2,1,4,5,6,8,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,4,6,7,3,1,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,6,8,4,2,3,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[8,6,5,1,2,4,7,3] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => 3
[5,2,8,6,1,7,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,1,3,6,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,7,4,1,5,6,8,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[8,1,3,5,7,6,2,4] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[3,4,7,8,5,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[5,6,8,1,3,2,4,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,8,5,1,3,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[4,2,1,3,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,1,8,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,8,2,1,4,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[8,1,6,5,7,2,4,3] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => 3
[2,7,1,8,4,5,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[4,2,1,6,3,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,1,3,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,8,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,1,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,6,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,6,3,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,3,6,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,8,2,1,3,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,4,1,8,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,6,8,1,5,2,4,3] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8,3,2,5,4,7,6,1] => 3
[2,4,8,3,5,7,6,1] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[1,5,7,3,8,4,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[8,1,5,3,7,4,6,2] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[1,6,8,5,3,7,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[6,4,8,1,7,3,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,7,5,6,3,2,8,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[5,3,7,8,2,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,6,2,1,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,2,1,8,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,8,2,7,1,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,8,2,7,6,1,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,8,2,7,6,5,1,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,8,2,7,6,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[2,4,6,7,3,8,1,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,5,6,7,8,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,6,7,8,3,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,7,4,8,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,2,8,1,3,5,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,3,8,4,7,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,8,1,2,3,7,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[4,2,6,1,8,7,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,3,7,5,4,1,8,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,7,1,4,8,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,2,6,3,4,1,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,8,1,7,3,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,8,7,6,5,1,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,8,7,6,5,4,1,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[6,8,2,7,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,8,2,7,6,3,4,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,8,1,7,3,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[8,2,3,5,7,1,6,4] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[5,8,7,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,2,8,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,3,4,8,2,7,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,7,4,2,6,1,5,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,7,3,2,6,4,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,5,7,2,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,1,4,6,8,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[5,3,2,7,4,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,3,1,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,3,4,1,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,3,4,5,1,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,3,4,5,6,1,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 0
[2,3,1,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,1,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,1,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,1,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,7,1,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,7,8,1,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 0
[5,3,7,6,4,2,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,3,2,7,4,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,2,6,3,7,4,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[8,1,6,7,5,2,4,3] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => 3
[4,2,6,3,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,7,3,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,2,4,1,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[8,7,6,4,1,5,2,3] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => 3
[4,2,8,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[2,7,1,4,5,8,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,5,1,7,4,3,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,1,4,7,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,3,8,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,5,8,7,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,3,4,2,8,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,4,1,7,5,6,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[6,8,5,7,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[4,8,5,2,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[1,5,7,8,3,2,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,8,3,2,4,6,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,5,8,7,3,2,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,5,8,3,2,4,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,7,3,5,2,8,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,7,3,2,4,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,7,8,4,6,2,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,7,4,6,8,2,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,7,6,8,3,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,2,3,4,8,6,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,3,8,7,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[8,2,3,7,5,6,1,4] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 2
[1,3,7,5,2,6,8,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,5,3,2,4,8,6,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,7,5,3,2,8,6,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,3,2,4,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[6,8,5,1,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,4,6,8,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,2,3,6,4,1,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,2,3,4,8,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[2,1,7,4,5,8,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,2,8,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[8,2,3,7,1,5,6,4] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 2
[6,4,8,7,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[7,8,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,8,3,7,1,5,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[6,4,1,3,2,8,5,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,6,5,2,8,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,3,8,7,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,5,8,6,3,4,7,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[4,6,5,2,8,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,7,1,4,3,8,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[8,1,7,2,5,4,3,6] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => 3
[8,1,7,2,5,4,6,3] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => 3
[1,5,3,8,6,7,2,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,7,5,6,3,8,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[5,8,6,7,2,3,1,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[3,4,1,7,5,8,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,3,1,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[8,7,4,1,2,3,6,5] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[8,7,4,1,2,6,3,5] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[8,7,3,1,4,2,6,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[8,7,3,1,2,4,6,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[4,2,6,8,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,8,4,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,4,8,5,7,1,3,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,5,8,2,1,7,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,3,8,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,8,7,6,5,1,2,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[2,5,4,7,3,6,1,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,6,3,7,5,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[4,2,6,3,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,1,3,7,5,4,8,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[3,6,8,2,1,4,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,6,3,1,8,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,8,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[2,5,7,1,4,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,8,1,5,7,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,4,8,1,3,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[5,8,6,7,2,1,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,8,6,7,2,3,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,8,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,6,7,5,1,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,7,5,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,4,1,7,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[4,2,8,5,3,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,1,6,7,5,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,4,7,1,5,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,1,7,5,2,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[5,8,2,6,3,4,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,5,8,7,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[1,7,3,5,8,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[4,2,6,7,3,1,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[8,1,4,5,3,7,2,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[5,4,2,3,1,6,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[6,2,3,4,8,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,3,8,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,6,3,8,1,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,3,2,8,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,8,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,8,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,3,4,5,8,1,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,4,5,7,3,8,1,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[5,2,1,6,3,8,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,4,8,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[1,5,7,3,2,6,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,8,2,3,6,7,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,5,2,3,1,6,8,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,5,7,4,1,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,6,1,7,8,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,6,8,7,4,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,7,4,1,6,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[8,1,3,7,4,2,6,5] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => 3
[3,8,7,2,6,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[5,2,1,8,7,3,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,3,7,6,2,1,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,1,4,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,2,6,1,8,3,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,2,1,6,5,7,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,7,3,5,6,2,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[8,1,3,5,7,2,4,6] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[2,4,5,7,8,1,6,3] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,1,4,8,5,7,3,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[4,2,6,3,8,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,4,3,1,5,8,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,2,3,1,4,5,8,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[1,3,5,7,8,6,2,4] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[5,6,4,8,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,1,6,3,8,4,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[2,4,5,7,3,8,6,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,5,1,7,4,3,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,7,4,1,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,7,3,8,2,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,2,7,8,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,1,7,8,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,3,6,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,4,5,8,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,4,6,5,8,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[1,5,3,2,8,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[3,7,4,8,2,1,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,2,6,4,8,1,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,7,5,3,8,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[7,2,4,8,5,3,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,2,6,8,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,4,2,1,6,8,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[3,4,7,8,2,1,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,2,3,1,6,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,1,3,6,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,3,8,2,7,4,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,7,4,5,8,3,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,8,2,6,1,3,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,5,7,8,4,1,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,8,6,2,1,3,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,7,8,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[3,4,7,2,1,8,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,6,8,2,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,7,2,1,4,8,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,6,2,7,8,5,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,1,6,3,8,4,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,6,2,3,8,4,1,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,7,8,3,4,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,8,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,3,5,7,2,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[2,9,8,7,6,5,4,3,1] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => 6
[2,10,9,8,7,6,5,4,3,1] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 7
[1,7,3,2,5,4,8,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,8,4,1,3,5,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[3,4,7,8,6,2,5,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,7,3,2,4,1,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,1,3,6,4,8,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,3,2,7,5,8,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,2,7,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[2,3,1,7,5,4,8,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,5,3,7,4,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[2,8,3,5,1,4,7,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[5,2,6,7,3,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,1,7,8,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,4,6,1,3,8,7,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[2,1,3,7,8,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,5,4,7,6,8,1,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,1,4,3,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,8,4,7,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,8,5,7,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[3,7,4,8,2,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,8,3,7,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,7,8,3,6,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,4,8,7,2,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,8,4,7,2,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,7,3,6,8,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,7,8,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,4,8,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,4,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,7,2,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,4,5,6,7,8,9,2,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,4,5,6,7,8,9,10,2,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[3,6,8,2,7,4,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,4,2,7,8,1,6,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[4,8,2,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,3,4,2,8,7,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,6,4,5,2,8,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,5,3,4,8,6,2,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[2,7,4,1,5,3,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[4,8,5,2,7,3,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,6,8,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[3,6,8,4,7,2,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,7,3,6,4,8,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,3,7,5,6,8,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[4,6,2,7,5,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,4,7,2,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,2,7,4,6,8,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,5,2,3,4,8,1,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,2,1,8,3,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,3,2,8,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,4,1,3,8,5,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,2,3,1,8,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,1,8,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,2,8,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[6,8,2,3,5,1,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,2,3,8,5,6,1,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[1,7,5,3,6,8,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,3,6,8,7,4,2] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[2,8,7,1,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[3,8,7,1,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,7,4,3,5,8,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,5,2,8,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,2,8,7,3,4,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,6,8,2,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,5,4,7,1,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,1,6,5,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,1,8,2,7,3,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[4,2,1,6,7,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,4,2,6,3,8,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[7,8,2,1,3,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[6,2,8,3,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[1,5,3,6,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[5,2,1,8,3,6,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,8,2,4,5,1,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,7,2,5,1,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,3,6,1,4,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[1,5,3,6,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[5,2,1,6,3,4,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,3,2,1,7,4,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,1,4,7,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,4,5,8,2,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,3,4,5,8,2,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,1,8,3,5,7,4,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[3,2,1,6,8,4,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,9,8,7,6,5,4,1,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => 6
[2,8,7,6,5,1,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[3,6,2,1,4,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,4,7,1,5,2,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[6,5,8,2,3,7,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,4,1,6,7,8,5,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[6,3,4,8,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,7,4,8,5,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,5,7,8,4,1,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,4,6,2,8,3,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,3,2,7,8,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,1,3,5,8,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,6,8,2,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,8,2,1,3,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[4,6,2,8,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,7,8,4,1,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,2,3,4,8,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,2,3,8,5,1,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,8,5,1,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,8,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[7,2,3,5,8,1,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,2,6,3,7,1,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,3,5,8,1,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,4,5,1,8,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[6,2,3,8,4,7,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[4,6,7,2,5,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,2,1,3,4,8,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[3,6,8,2,4,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,8,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,3,1,6,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[1,5,3,2,6,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[8,1,3,5,4,7,2,6] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[2,8,1,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[7,5,2,6,3,1,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,8,4,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[6,4,8,1,3,2,5,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[3,7,2,4,6,5,1,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[7,2,1,4,3,5,6,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[3,2,6,4,1,8,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,5,3,2,8,6,4,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,8,2,3,1,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,4,1,3,6,2,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[7,2,4,8,1,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,8,7,6,1,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 5
[3,1,8,7,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[3,8,7,2,1,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[6,4,8,1,7,5,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,2,3,8,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[4,6,2,3,8,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,2,3,8,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,3,8,4,2,1,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,2,1,3,8,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,3,8,2,4,1,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,6,2,1,7,5,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,3,7,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,3,8,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,1,3,8,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,4,1,3,5,8,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,2,1,3,5,8,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[4,2,1,3,6,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,1,6,3,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,2,1,8,3,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,2,1,3,8,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[1,6,4,3,8,5,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,6,4,8,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[6,4,1,8,3,5,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,4,8,1,3,5,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[6,2,8,1,3,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[4,2,8,1,3,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[2,4,1,8,3,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[4,6,2,1,3,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,6,8,4,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[5,6,4,2,8,3,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,6,4,1,8,7,3,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[3,6,8,4,5,7,2,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,6,4,2,8,3,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,8,6,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,5,2,8,1,7,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,8,3,5,1,7,4,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[6,3,2,8,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,4,8,3,1,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,3,2,4,8,1,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,6,8,7,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,8,3,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,5,7,4,6,3,8,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,8,3,2,4,7,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[8,2,1,3,5,7,4,6] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[1,3,7,2,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[3,8,7,1,6,5,2,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[8,7,4,6,1,5,2,3] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[4,8,7,6,1,5,2,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,2,4,7,6,1,5,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,4,6,7,1,5,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[7,2,3,1,5,6,4,8] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,3,7,2,1,4,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,8,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,4,5,8,3,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,2,4,5,1,3,6,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,5,3,8,6,7,4,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,3,7,4,2,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,4,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,4,2,1,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,2,1,6,3,7,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,1,6,3,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,1,6,3,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,3,5,7,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,1,8,3,7,5,4,6] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[1,7,5,3,2,8,4,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,3,8,2,6,4,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[4,2,6,7,5,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,1,6,8,3,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[1,5,6,8,3,4,2,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,3,6,7,8,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[5,2,3,6,7,8,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,3,7,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,3,7,8,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,4,1,8,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,2,7,1,8,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,3,7,8,5,2,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[5,2,3,4,8,1,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,6,7,3,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,5,3,6,8,2,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[4,2,6,7,3,8,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,5,3,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,5,2,3,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,8,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,5,8,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,3,6,8,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,5,8,7,2,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,8,2,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,5,8,2,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,6,4,8,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,4,8,1,5,3,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[5,7,6,8,3,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,8,2,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,4,8,5,3,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[3,6,4,2,8,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,8,1,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,6,2,8,4,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,2,6,8,4,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,6,8,3,1,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,4,6,8,3,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[5,2,1,3,4,8,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[7,5,8,2,6,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[1,5,6,7,3,4,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[3,4,2,8,5,1,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[4,8,5,7,2,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[1,3,7,5,8,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[2,7,4,5,8,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,6,5,3,8,4,2,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[3,6,4,8,2,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,3,2,4,8,7,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,7,2,4,6,1,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,3,7,2,8,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,2,8,1,7,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,1,3,8,7,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,4,8,1,3,7,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[7,5,8,6,2,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[4,2,6,8,7,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,8,7,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,2,6,7,5,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,6,1,4,5,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,8,7,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,4,7,6,2,5,8,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[7,5,2,3,4,8,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,8,2,6,3,1,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,8,2,3,7,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,1,4,5,3,6,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,7,1,4,5,3,6,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,6,2,1,3,7,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,1,3,7,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[2,4,6,1,5,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[6,5,1,8,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,8,5,2,3,4,1,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,8,7,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,1,3,4,6,8,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,5,8,1,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,8,2,3,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,8,2,3,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,8,2,3,5,6,1,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,8,2,5,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,2,3,5,1,4,8,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[8,1,3,5,7,4,6,2] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[5,6,7,2,8,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,3,8,6,7,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[3,6,8,2,4,1,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,2,8,1,6,7,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,6,4,3,2,8,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,5,3,2,8,4,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[4,6,8,2,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[1,6,4,8,7,5,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[5,8,2,1,7,3,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,1,8,7,6,2,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,1,8,7,6,5,2,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[1,7,3,5,2,4,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,7,3,5,2,6,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,7,5,3,4,8,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[6,8,3,7,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,4,7,2,6,8,5,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,4,7,2,6,8,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,4,7,2,6,5,1,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,4,7,2,6,5,8,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[6,8,5,1,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,8,5,1,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,2,3,8,4,1,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,3,7,2,4,6,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,2,1,6,8,7,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,6,8,5,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,1,6,8,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,6,1,8,7,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,6,1,8,3,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,2,1,6,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,5,2,8,6,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,3,8,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,6,4,2,1,5,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,3,4,2,1,5,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,6,4,2,1,3,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[2,5,4,1,7,8,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,3,4,2,1,8,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,6,4,2,1,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,8,5,7,6,2,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[1,5,3,7,4,2,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,8,5,2,3,1,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,8,6,2,3,1,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,5,8,2,3,1,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[1,5,3,8,2,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,5,3,2,4,7,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,6,1,3,4,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[4,6,2,1,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,4,2,7,1,6,8,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[3,7,2,4,8,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,2,7,4,8,1,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,1,6,3,8,7,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,4,6,1,3,8,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[1,3,5,7,4,6,8,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,4,7,2,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,4,7,8,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,4,7,2,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,4,8,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,4,8,6,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,5,7,8,4,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 0
[1,3,7,2,5,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,7,5,2,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[2,5,7,4,3,8,1,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,6,2,1,7,8,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,7,8,2,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[8,1,5,7,3,2,4,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[4,6,7,8,2,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,4,8,3,1,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,8,7,2,3,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,8,7,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[8,2,3,7,4,1,6,5] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => 3
[7,5,8,6,2,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,8,7,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,5,2,8,7,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,5,2,8,7,1,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,4,1,8,7,5,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,6,4,8,7,3,5,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[6,4,1,8,7,3,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,3,2,6,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,2,6,7,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,7,3,2,8,5,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,3,2,7,5,4,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[3,6,4,8,2,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,3,7,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,2,7,4,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,2,3,5,7,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,8,4,2,1,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,8,2,3,4,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,8,1,3,5,4,7,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[1,7,8,3,5,4,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,3,2,1,8,4,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,7,8,4,3,5,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,3,7,2,6,1,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,2,8,1,6,3,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,8,2,5,1,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,8,3,6,7,1,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[3,8,7,6,1,2,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[3,8,7,6,2,1,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[2,3,7,5,6,8,1,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,6,8,5,7,3,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,5,8,3,4,6,7,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[3,4,7,8,6,2,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,8,2,1,6,7,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,5,8,7,3,2,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[3,6,8,4,7,2,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,5,8,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,6,8,2,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,8,1,3,2,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,6,8,4,3,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[3,6,4,8,7,2,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,6,4,8,3,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,6,5,3,8,2,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[2,10,9,8,7,6,5,4,1,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 7
[3,9,8,7,6,5,4,1,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,1] => 5
[3,2,8,7,6,5,1,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[8,1,5,7,3,2,6,4] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[7,8,5,2,3,6,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,8,5,2,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,4,5,7,3,6,8,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[5,1,3,4,6,8,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,2,3,6,7,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,3,6,1,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,1,3,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,7,3,5,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,7,2,4,6,8,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,6,7,2,3,8,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,5,6,2,1,3,8,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[1,7,8,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,7,5,8,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,7,8,6,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,7,8,3,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,3,7,8,5,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,7,5,3,8,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,7,5,8,3,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,7,8,5,3,6,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,7,8,3,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,7,3,8,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,7,3,5,8,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,3,7,8,6,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[7,5,6,2,8,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,4,8,1,7,3,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,1,5,7,8,4,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,8,3,4,2,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,2,6,1,5,7,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,4,6,7,3,5,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[3,4,8,2,5,7,6,1] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[2,5,7,4,8,6,1,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[7,2,3,5,1,8,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,6,2,7,5,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,5,3,6,2,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,8,3,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,2,8,1,3,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,4,1,3,7,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,4,1,8,5,7,3,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[5,8,2,1,7,6,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,2,3,6,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,3,4,8,7,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,3,4,6,8,1,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,2,8,5,7,6,1,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,8,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,3,4,8,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,3,4,1,8,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,2,3,4,8,7,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,3,4,1,5,8,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[6,4,8,5,1,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[8,7,4,1,2,6,5,3] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,7,4,5,6,8,1] => 3
[7,5,2,3,1,4,8,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,4,6,8,2,3,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,3,7,8,2,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,6,8,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,8,7,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,3,7,8,6,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,6,2,8,7,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,7,3,8,6,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,6,8,2,7,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,2,6,1,3,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,8,2,3,1,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,8,2,4,3,5,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,8,2,4,1,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,4,1,6,5,7,3,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[4,6,5,7,2,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,5,3,6,4,7,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,6,2,7,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[4,6,2,3,1,7,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,4,3,6,1,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,3,7,2,8,5,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[4,6,2,7,1,8,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,1,6,3,7,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,3,1,7,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,3,1,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,7,5,3,8,2,6,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[3,7,2,4,8,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,6,2,7,1,8,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,6,2,7,1,5,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,5,8,2,3,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,6,8,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,7,8,2,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,3,8,4,2,7,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,6,2,8,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,7,8,3,2,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,5,2,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[7,5,2,3,8,6,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,5,7,8,4,3,6,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,1,6,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,3,5,1,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,5,2,8,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,3,5,8,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,8,7,5,2,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,7,4,8,3,5,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,7,4,8,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,2,8,4,3,5,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,2,1,8,4,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,2,1,8,4,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,7,5,3,6,4,8,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,6,5,8,7,3,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[4,1,8,7,6,2,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[1,5,7,3,4,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,8,3,4,7,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,5,7,3,4,6,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,6,3,4,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[4,6,2,3,1,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,3,4,5,8,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[6,2,3,8,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[8,2,3,5,7,1,4,6] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[5,7,8,3,2,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,2,3,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[3,7,8,2,1,4,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,3,2,4,1,8,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[7,2,3,4,8,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[1,5,3,8,7,6,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,1,6,8,3,4,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,2,6,3,8,1,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,8,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,8,4,5,7,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,6,8,5,7,2,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,3,2,7,6,8,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,8,4,6,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,7,4,8,6,2,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,6,4,8,7,2,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[7,2,8,4,5,1,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,3,7,5,6,2,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[7,2,8,4,1,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,3,2,7,8,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[6,5,2,1,8,7,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,5,2,3,8,7,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,1,6,3,8,2,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => 6
[6,2,3,4,8,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,4,8,5,3,7,1,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,4,1,8,5,3,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[8,1,4,5,3,2,7,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[2,3,7,5,4,8,1,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[6,8,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,3,7,5,4,8,2,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,7,3,5,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[5,3,7,4,6,8,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,4,6,8,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,3,5,4,8,1,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,6,2,1,5,7,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,2,3,8,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[4,6,2,7,5,1,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,2,7,4,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,2,3,8,4,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,5,4,1,7,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,8,5,2,1,7,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,2,1,8,3,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,1,8,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[7,5,2,1,8,6,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,3,2,7,6,1,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,3,2,8,7,1,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,2,8,3,7,4,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,8,3,7,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,8,4,3,1,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,3,2,7,8,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,1,6,3,8,7,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[7,5,2,1,3,8,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[3,4,7,5,6,1,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,7,4,5,3,8,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,4,8,1,3,2,7,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,8,6,3,4,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,3,8,4,2,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,5,8,3,2,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[3,2,7,8,4,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[2,4,6,5,1,7,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[8,7,6,4,1,2,5,3] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,4,8,5,6,7,1] => 3
[1,3,7,5,8,2,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,7,3,5,8,2,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,2,3,8,7,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,8,2,7,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[3,6,8,2,4,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,2,1,8,7,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,6,5,2,7,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,8,2,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,4,1,7,8,5,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[5,6,8,4,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[6,3,8,7,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,3,7,8,5,6,1,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,8,2,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[7,2,1,4,5,8,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,8,7,6,1,2,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[6,2,8,7,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,6,8,1,7,3,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,5,8,3,7,4,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,8,2,3,6,4,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,8,2,3,4,7,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,1,7,4,3,5,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,8,2,4,3,1,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,3,2,4,7,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,8,5,7,2,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,8,2,7,3,4,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,1,3,6,4,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,3,2,1,4,8,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,2,8,3,5,7,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,2,1,3,6,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,2,1,3,4,5,8,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,1,9,8,7,6,5,4,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,1] => 5
[1,6,4,8,3,2,5,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[2,7,4,3,1,5,6,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,1,7,4,8,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,2,8,6,1,3,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,5,8,1,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[4,6,2,8,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,8,2,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,8,7,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,7,2,3,1,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,7,2,8,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,7,2,1,8,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,7,2,1,3,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,8,7,4,2,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[8,6,5,1,2,7,4,3] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => 3
[6,4,1,8,5,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,4,2,6,8,7,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[3,6,4,5,2,1,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,7,8,3,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,3,7,5,8,2,6,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[3,6,2,1,4,5,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,5,1,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,8,2,7,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,8,2,3,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,2,8,1,7,3,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,8,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,3,4,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[3,4,8,2,1,5,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[2,5,7,6,1,4,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[1,5,6,3,4,8,2,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[5,8,6,2,3,7,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,4,8,5,7,3,6,1] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[4,2,6,8,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,3,7,8,5,1,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,5,3,8,7,4,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,7,5,8,6,3,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[2,3,1,7,5,8,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,1,5,7,8,4,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,6,2,7,3,1,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,8,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,8,7,6,1,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,1,6,3,2,8,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[7,5,8,2,6,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,3,8,6,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[3,7,4,6,5,2,8,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,2,6,8,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,2,4,3,5,1,8,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[8,2,3,5,1,7,6,4] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[6,3,2,8,4,1,5,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,6,2,7,1,3,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,8,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,7,2,1,5,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,2,1,7,6,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,8,1,7,6,2,3,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[1,3,7,5,4,2,8,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[5,2,6,3,4,7,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,4,7,5,8,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,4,1,7,5,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[8,2,3,1,5,7,6,4] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[6,3,2,1,8,4,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,2,6,8,3,1,5,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,2,8,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[2,7,8,4,5,6,3,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[3,7,2,4,8,1,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,8,7,1,2,3,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[4,6,7,5,2,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,8,1,5,3,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,7,2,8,4,1,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[1,6,8,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[3,1,4,7,8,5,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[4,8,2,3,1,5,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[2,7,4,1,8,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[4,2,3,8,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[8,2,3,5,4,7,1,6] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[2,4,3,5,7,8,1,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[5,3,7,4,8,6,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,7,8,4,5,1,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,4,2,6,1,3,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[6,8,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[3,2,4,8,1,5,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[5,4,2,6,3,1,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,4,2,6,8,3,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[2,7,8,4,5,1,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[3,8,7,6,5,2,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,8,7,6,2,5,4,1] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,8,7,6,5,2,1,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[5,3,7,6,2,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,2,8,7,6,1,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[4,1,8,2,3,7,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[6,8,2,3,1,7,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[2,7,4,3,8,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,3,7,2,4,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,4,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,3,2,4,7,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,3,2,7,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,7,3,2,1,4,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,4,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,7,3,2,5,4,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,3,7,2,4,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[5,3,2,7,4,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,4,7,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,1,4,7,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,2,1,7,4,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,3,2,7,5,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,7,2,5,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,7,5,2,4,6,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,7,5,3,2,4,6,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[2,9,8,7,1,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => 6
[2,10,9,8,7,1,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 7
[2,10,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 7
[3,6,4,2,8,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,6,4,5,8,7,2,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,6,4,3,8,5,2,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[7,2,3,1,5,8,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,5,4,8,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[1,6,4,5,8,3,2,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,2,6,1,3,7,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,7,1,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,8,2,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,2,3,8,7,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,2,8,3,1,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,2,6,5,1,7,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,8,3,5,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,2,3,8,4,1,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[7,2,8,3,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[4,6,2,7,3,1,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,5,3,7,6,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[4,2,6,5,7,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,7,5,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,4,8,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[6,4,8,1,3,7,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,8,6,3,7,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,5,2,1,8,3,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,6,3,1,8,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,8,6,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,1,3,6,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,1,3,8,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[4,2,6,3,5,7,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[8,1,4,3,5,7,6,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[4,6,7,2,5,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,8,7,1,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,6,4,8,2,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,6,4,8,7,5,2,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[7,2,3,1,5,6,8,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,3,8,5,6,4,1] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,3,7,4,8,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,3,2,1,4,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,8,4,1,5,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,5,4,7,8,1,6,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,6,7,8,1,5,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,8,1,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[3,2,6,8,1,7,4,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,3,7,5,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,8,7,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,3,5,7,4,8,6,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,4,6,3,7,8,5,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,7,3,2,6,8,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[8,2,3,7,5,4,1,6] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 2
[8,1,3,5,7,6,4,2] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[8,1,7,3,4,6,2,5] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7] => 3
[2,8,3,7,4,6,5,1] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 3
[8,1,7,2,6,4,3,5] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => 3
[8,2,3,7,4,6,1,5] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => 3
[2,4,8,5,7,6,3,1] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[8,1,7,2,4,6,5,3] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => 3
[5,7,6,3,2,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,8,2,3,1,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,5,8,1,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,5,8,2,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,6,2,7,3,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[2,4,6,1,5,7,3,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[7,5,2,3,8,1,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[7,5,2,3,8,4,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[8,2,3,4,5,6,7,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[4,6,7,8,5,2,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,2,4,8,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[1,5,6,8,3,7,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[5,6,8,1,3,4,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[2,7,1,8,4,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[4,6,2,5,7,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,5,1,3,8,7,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,1,6,8,3,7,4,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[3,8,7,6,5,1,2,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[2,1,5,7,4,3,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,4,1,3,8,7,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,1,8,3,5,7,6,4] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[8,2,1,3,4,5,6,7,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[3,2,4,5,6,7,8,1,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[8,2,3,1,4,5,6,7,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[6,8,3,2,1,7,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,4,6,1,8,7,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[6,3,2,8,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,6,4,8,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,8,2,5,3,7,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[7,5,2,3,4,8,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[4,6,7,2,1,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,3,1,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,6,7,8,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,8,7,1,3,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,5,7,4,6,1,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,4,7,8,1,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,3,7,4,6,2,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,6,2,8,3,7,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,2,1,6,3,8,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[2,5,7,4,3,1,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,3,4,2,7,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,7,2,4,1,6,5,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[2,4,1,6,5,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,2,3,1,4,8,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,3,4,1,8,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,2,3,1,8,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[5,3,7,8,4,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,7,3,5,4,8,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,3,8,4,7,6,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[8,6,5,1,7,2,4,3] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => 3
[6,8,5,1,7,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,1,6,3,4,8,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,3,8,2,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,8,1,7,6,2,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[8,1,7,6,4,2,5,3] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,8,6,7,3] => 3
[1,5,6,3,8,2,4,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[2,4,6,8,5,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[3,6,4,8,5,2,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,4,6,3,5,7,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,1,6,5,7,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,7,3,2,6,1,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,6,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,2,6,4,1,8,5,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,4,1,8,7,3,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,8,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,6,3,1,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,3,6,1,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,3,8,6,4,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,2,3,4,5,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[4,8,2,5,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[5,8,2,3,4,7,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,6,8,5,2,7,3,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,2,7,8,3,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,4,5,8,2,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[7,2,4,5,1,6,3,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,3,7,4,8,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,8,3,6,7,4,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,6,8,2,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[2,3,5,7,4,6,8,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[5,8,2,1,6,3,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,5,7,3,6,2,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,3,7,6,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[4,2,6,5,7,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,2,3,5,8,1,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[1,5,6,7,3,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,7,3,5,8,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,4,1,8,5,3,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,6,8,7,2,5,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,5,1,8,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[1,5,3,4,7,8,2,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,6,3,7,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[2,4,8,5,1,7,3,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[8,9,2,1,3,4,5,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[3,2,7,4,8,6,1,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,3,2,1,8,7,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,2,3,1,8,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,1,4,5,8,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,7,2,1,8,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,2,1,8,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,8,2,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,7,8,4,6,2,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,6,8,5,2,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,8,2,3,5,4,1,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,6,5,2,7,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,8,3,7,5,1,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[2,7,1,4,5,3,8,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,5,8,7,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,2,3,6,7,8,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[1,3,7,8,5,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[8,1,4,5,7,6,3,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[2,4,1,8,5,7,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,8,3,7,4,1,6,5] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 3
[8,2,3,4,5,6,9,1,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[4,2,6,3,8,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,8,3,4,7,5,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,7,4,6,8,2,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[7,2,4,5,6,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,2,4,8,1,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,7,4,8,1,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,2,3,8,1,5,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,1,8,3,5,6,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,1,6,3,8,2,4,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[4,6,2,7,8,3,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,7,3,2,8,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,8,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,6,2,8,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,4,6,3,8,7,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,3,6,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,3,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,8,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,5,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,5,7,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,3,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,1,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,8,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,8,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,5,1,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,7,3,5,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,7,1,5,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,7,1,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,5,1,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,1,8,3,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,3,8,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,5,8,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,5,3,1,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,7,3,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[2,4,6,8,7,5,1,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 1
[3,8,7,6,2,5,1,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[1,5,3,8,2,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,5,7,3,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[8,2,3,4,5,6,7,9,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[6,2,3,5,8,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[1,3,7,5,6,8,4,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,5,6,3,4,2,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,6,4,2,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,3,7,4,6,2,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,7,3,6,4,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[2,5,7,4,1,3,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[7,5,2,3,1,8,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,3,1,7,8,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[3,7,2,1,8,4,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,6,8,2,7,3,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,5,7,8,4,6,1,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,8,2,7,3,6,4,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,4,2,7,8,6,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[4,6,2,5,3,1,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,4,5,1,8,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,8,2,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,4,1,3,5,8,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,2,6,1,3,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,7,8,4,2,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,6,2,8,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,7,5,8,2,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,4,1,7,8,5,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,3,7,8,5,4,1,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[7,2,4,1,3,8,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,6,8,2,3,7,5,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,6,3,5,7,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,8,4,5,1,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,2,6,8,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[3,7,2,4,1,8,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[2,4,8,3,5,7,1,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[3,2,1,7,4,6,5,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,7,8,6,3,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,2,6,3,8,7,1,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[1,5,7,3,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[7,6,1,5,2,4,3,8] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8,3,2,5,4,7,6,1] => 3
[1,7,3,5,6,8,4,2] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,7,3,5,2,8,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,8,3,2,7,4,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,6,5,3,2,8,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[8,7,3,1,4,6,5,2] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[5,8,2,7,6,1,3,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[8,7,3,4,6,5,1,2] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[8,7,3,4,1,2,6,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[4,8,7,1,2,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[8,7,3,4,1,6,5,2] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => 3
[6,3,8,7,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,5,7,3,6,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[2,5,7,1,8,4,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[1,5,7,8,6,3,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[8,1,7,2,5,6,4,3] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => 3
[8,1,3,5,2,7,6,4] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[2,4,1,6,7,5,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,5,1,7,8,6,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,4,5,1,7,6,3,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[3,8,7,1,6,2,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[3,7,4,2,1,8,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[4,8,5,7,2,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,2,1,6,8,4,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,8,7,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[3,6,4,2,5,1,8,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,3,7,2,6,8,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,4,6,8,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[6,8,7,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[1,5,7,3,8,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,8,7,2,6,5,1,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[5,1,6,3,2,4,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[2,4,6,7,8,5,1,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,7,8,3,1,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,5,7,8,3,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,3,8,7,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[7,2,1,3,4,8,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[2,4,5,7,1,8,6,3] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[3,4,8,2,5,1,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[6,4,8,1,5,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,6,8,7,3,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[8,1,4,5,7,3,2,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[7,2,3,8,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[3,8,7,6,1,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[3,2,6,4,8,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,2,3,6,8,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,2,8,3,5,1,7,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,8,3,5,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[4,2,8,5,7,1,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,4,7,1,5,6,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,5,7,4,6,8,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,8,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,5,7,6,3,2,8,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,8,7,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,6,8,1,3,7,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,6,8,5,3,2,4,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[5,7,3,6,8,4,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,6,3,2,8,4,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,3,2,7,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[7,5,8,6,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[1,5,6,3,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[5,3,7,2,6,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,8,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,3,7,8,4,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,7,3,8,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,3,7,5,8,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[5,2,3,8,1,7,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[1,5,3,8,2,4,6,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[6,2,8,3,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[1,5,3,2,8,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,5,6,7,3,2,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,7,3,5,6,2,8,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[5,8,2,7,3,4,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,7,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,8,2,1,3,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,8,7,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,3,7,5,6,8,4,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,3,2,7,6,4,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,3,7,5,4,8,6,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[3,4,7,6,8,2,5,1] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,2,8,6,3,7,1,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,2,4,5,3,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,6,2,1,8,3,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[1,5,3,2,8,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[6,2,3,8,7,5,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[3,4,7,5,8,1,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[4,2,6,3,7,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,8,3,6,4,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,2,8,3,7,4,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,2,6,3,8,4,1,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[7,2,4,3,8,5,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,2,6,3,1,7,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,2,7,4,1,6,5,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,6,2,7,8,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,2,6,8,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,8,5,2,7,3,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,3,7,6,2,4,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,7,2,5,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,5,1,8,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,4,8,5,1,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[4,2,6,3,1,8,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[1,5,3,8,4,6,2,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[7,2,3,5,8,4,1,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[5,2,6,1,7,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[4,2,6,8,3,7,1,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[1,7,8,5,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,8,3,6,4,7,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[3,8,1,7,2,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[1,5,3,2,6,8,4,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[6,2,3,5,8,4,1,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[4,2,8,5,3,7,6,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,4,5,1,8,3,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,3,6,8,7,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[6,3,2,8,7,4,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[4,6,2,7,5,8,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,5,8,2,7,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,7,3,4,2,6,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,4,6,8,2,3,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[6,8,5,2,1,3,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,6,1,3,2,4,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,3,7,2,1,8,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,4,5,6,7,8,2,9,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,4,5,6,7,8,9,2,10,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[6,2,8,3,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,7,4,3,8,1,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,3,7,8,5,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,3,2,7,8,5,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,5,7,6,8,3,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[2,1,7,4,3,8,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[7,2,3,8,5,4,1,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,2,6,5,3,1,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,3,5,7,4,8,1,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[5,7,3,4,8,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,5,2,3,1,8,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,5,4,7,8,3,1,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,6,7,8,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[8,1,5,3,2,4,7,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[2,7,4,3,8,5,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[6,8,2,7,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,5,2,8,1,6,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,1,6,8,3,2,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,2,3,6,8,4,7,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,2,1,3,8,4,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[7,2,1,8,4,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,7,3,4,6,2,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,5,2,3,8,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[2,7,4,8,5,3,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,4,6,8,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[1,6,8,7,5,3,2,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,5,3,2,6,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,8,6,3,2,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[7,5,2,6,3,4,8,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,2,8,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[5,4,2,3,6,1,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[1,5,3,4,7,8,6,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[2,3,7,5,4,1,6,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[3,4,7,2,1,6,5,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,5,7,1,4,6,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,5,7,1,4,3,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[3,4,7,2,1,6,8,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[5,7,3,2,8,1,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,5,7,1,4,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[8,6,5,1,2,4,3,7] => [[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,8,4,3,5,7,6,1] => 3
[2,5,1,4,7,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[1,7,3,2,5,6,4,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[1,5,8,3,6,2,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[2,7,4,5,8,1,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,8,6,2,3,4,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[4,6,2,5,7,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,1,7,8,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,7,1,4,8,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,8,2,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[1,5,6,3,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[2,4,5,7,3,6,1,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[4,8,5,2,1,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[3,6,2,8,7,4,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[8,9,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[3,4,7,8,5,1,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[3,2,6,8,7,4,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,3,7,5,1,8,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,2,1,3,8,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,2,8,3,1,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,8,1,3,5,7,4,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[2,4,6,7,8,3,5,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[1,5,3,2,4,6,8,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,8,7,6,3,2,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,5,7,6,3,2,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,2,1,4,8,5,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[6,5,1,8,3,2,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,6,4,1,3,8,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[7,2,8,1,4,5,6,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[7,5,2,3,6,8,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,2,8,3,5,1,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[1,6,5,8,3,7,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[7,5,2,1,6,8,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,8,7,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,8,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[3,4,8,5,7,2,1,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[3,6,4,8,5,7,2,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,1,3,2,6,8,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[3,2,4,8,5,7,1,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[4,6,2,8,5,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,3,8,7,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,3,7,5,4,8,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[1,5,6,3,8,4,2,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[5,7,3,8,4,2,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[10,1,9,2,8,3,7,4,6,5] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9] => 5
[1,5,6,3,8,2,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[1,5,6,3,7,2,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,7,5,3,6,2,8,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,5,7,3,4,2,8,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,8,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,1,6,8,3,7,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,5,8,6,7,3,4,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[6,8,4,7,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[8,9,2,3,4,5,1,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[5,2,1,6,3,4,8,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,1,3,4,6,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[3,6,2,4,5,8,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,6,4,5,2,8,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[8,1,3,5,7,4,2,6] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 2
[5,1,3,4,2,6,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[6,8,4,1,3,7,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,8,1,7,6,5,2,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[3,8,7,2,6,1,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 5
[3,4,7,8,5,1,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[5,1,6,8,3,4,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[4,8,1,2,7,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[6,3,8,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,5,8,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,3,8,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,6,2,4,8,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[4,6,2,8,3,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,2,7,8,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,3,2,4,7,8,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,6,4,1,8,3,2,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[2,3,7,8,5,1,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[6,2,3,1,8,5,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[4,6,5,2,7,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,4,6,2,3,1,8,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[3,9,1,8,7,6,5,4,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,9,1] => 5
[6,3,4,8,7,2,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,7,8,1,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,7,3,4,2,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,2,6,5,7,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,5,8,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,3,7,6,8,2,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,2,8,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,2,6,4,8,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,8,2,6,3,7,4,1] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,5,6,2,3,8,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[3,6,2,8,4,7,5,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[5,7,8,3,4,6,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,5,8,3,6,4,2,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[1,5,8,6,3,4,2,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,7,8,3,2,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,8,2,7,1,3,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[1,5,3,7,4,2,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[1,5,3,2,4,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[3,2,6,4,8,5,7,1] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[8,1,4,3,5,2,7,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[6,4,8,5,7,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,6,7,2,5,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,3,8,7,4,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,6,2,7,8,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,7,8,2,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,1,3,6,2,4,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,5,6,3,7,8,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[1,5,7,6,3,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[4,6,2,7,1,3,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,5,3,8,4,2,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,6,2,3,7,4,1,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[7,2,8,1,4,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,5,6,3,8,4,7,2] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[2,7,8,4,1,3,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,5,8,7,6,3,4,2] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[1,6,4,8,5,7,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[5,4,2,3,6,8,1,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[5,6,1,8,3,7,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[2,3,7,1,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[4,6,5,2,1,7,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,5,1,7,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,8,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,8,7,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,4,2,1,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,4,2,1,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[3,4,2,5,1,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[7,2,8,4,5,6,3,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,8,7,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,5,7,4,1,3,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[6,8,5,2,7,1,3,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[2,7,4,5,3,8,6,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,6,8,4,3,2,5,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[1,7,5,3,2,6,4,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[1,6,4,8,5,3,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,2,6,7,8,1,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,3,6,7,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,4,3,6,7,8,1,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[6,8,5,2,7,3,1,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[7,2,1,4,3,5,8,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,6,8,7,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[4,6,8,2,3,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,8,2,1,3,5,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[6,5,8,1,3,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,8,4,5,1,3,2,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,6,3,2,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[2,5,1,4,7,3,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,6,5,1,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,5,2,7,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,5,2,1,7,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,2,7,8,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,8,3,7,1,4,6,5] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 3
[5,3,7,4,2,6,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,4,2,6,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,5,7,8,4,6,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,3,2,4,7,1,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,6,8,4,5,2,1,7] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[7,2,3,4,1,8,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[5,2,8,3,1,4,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,6,2,4,8,1,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[7,2,8,4,1,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,8,2,1,3,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[5,3,4,2,7,1,8,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,5,2,1,3,8,4,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,3,2,4,8,5,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,8,7,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[2,7,4,5,6,8,1,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,3,7,6,4,8,2,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,6,4,3,8,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[6,8,2,3,1,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[7,2,1,3,5,6,8,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[3,2,4,1,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[4,2,6,3,5,1,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,2,6,3,7,8,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[8,1,5,7,3,4,6,2] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[5,8,2,7,6,3,1,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,5,2,1,3,8,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[1,6,8,7,4,3,5,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,6,8,2,5,7,1,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[2,5,4,7,6,1,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[5,6,2,3,8,4,7,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[5,6,2,3,1,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[6,5,2,3,8,4,7,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[6,8,2,3,1,5,4,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,8,2,3,1,6,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,2,1,3,5,8,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[6,8,7,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,2,1,3,6,7,8,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[8,1,5,7,3,6,2,4] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[5,3,7,4,2,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,2,1,3,7,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,6,1,5,7,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,5,2,1,6,3,4,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[5,6,4,2,1,8,3,7] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[7,2,4,3,8,1,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,5,8,2,7,3,4,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[1,5,6,3,8,7,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[2,4,6,5,7,8,1,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,7,5,8,1,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,6,3,7,8,1,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[5,2,8,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[3,4,8,5,2,1,7,6] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[2,3,7,5,8,1,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,5,4,7,3,8,1,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[3,7,8,4,2,1,6,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[3,6,8,4,2,7,1,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[3,4,5,6,7,8,2,1,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,4,5,6,7,2,1,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[5,7,3,2,4,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,2,8,3,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[7,5,2,8,3,1,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,4,3,6,5,2,1,8] => 0
[6,4,5,1,3,8,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,5,3,7,6,4,8,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[6,2,3,8,1,5,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[2,5,7,4,8,3,6,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[8,1,5,7,3,6,4,2] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[8,1,3,7,2,4,6,5] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => 3
[6,4,1,8,3,2,5,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,6,5,3,8,2,4,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,6,8,4,7,3,2,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[2,1,5,7,4,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,3,5,7,8,1,6,4] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[8,1,7,2,4,6,3,5] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => 3
[1,5,3,6,8,2,4,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[7,2,1,3,8,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[1,7,5,3,2,4,8,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[2,8,3,1,5,4,7,6] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 2
[1,7,8,5,3,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[2,8,3,1,7,5,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[2,7,4,1,5,8,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[5,7,8,3,4,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,7,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[7,2,8,3,4,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[4,6,7,2,3,8,1,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,6,2,5,3,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,5,2,1,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[7,2,4,5,8,6,3,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,3,8,4,7,2,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,1,3,2,4,6,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[5,4,2,6,8,7,3,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,8,5,2,7,6,3,1] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[2,3,5,7,8,4,6,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[4,6,7,5,2,8,3,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,5,7,8,6,1,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,6,7,2,1,5,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,8,7,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,5,3,4,8,2,6,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[8,1,6,5,2,7,4,3] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => 3
[1,7,5,3,8,6,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[2,4,3,8,1,5,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,5,8,1,3,2,4,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,3,2,1,7,8,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,6,5,3,8,4,7,2] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,5,3,4,8,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[4,6,2,5,1,7,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,3,5,1,7,6,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[2,1,7,4,8,5,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[2,4,6,5,7,1,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[2,4,3,8,5,7,1,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[5,4,6,2,1,8,7,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,6,2,1,5,8,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[4,6,7,2,3,8,5,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,3,7,8,1,5,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,2,6,7,8,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[5,6,2,7,8,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[2,3,7,5,8,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[2,3,7,8,5,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,6,5,3,2,4,8,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,7,3,5,2,4,8,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[7,2,1,3,5,4,6,8] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,2,3,6,7,5,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,5,4,7,3,1,8,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,7,8,1,4,5,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[4,1,2,8,7,3,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [5,2,3,4,6,7,8,1] => 3
[5,8,2,7,3,1,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[8,1,7,6,4,5,2,3] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,8,6,7,3] => 3
[5,8,2,3,7,4,1,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[4,6,5,8,2,1,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[3,2,7,4,6,1,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[5,2,3,8,7,1,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[6,3,2,4,5,8,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[3,7,4,8,6,2,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[1,7,3,2,8,5,6,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[7,2,1,4,5,6,3,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,5,6,7,3,4,2,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[4,6,8,5,2,1,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,7,8,3,2,4,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,4,1,8,5,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[2,3,5,4,7,1,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 0
[6,8,4,1,5,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[7,2,8,4,5,3,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[6,3,8,2,7,4,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[6,5,1,3,8,4,2,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,1,3,2,6,8,4,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,2,7,4,6,5,3,1] => 1
[1,5,7,3,6,4,2,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,4,7,1,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[2,3,7,5,8,6,1,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,6,2,8,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[6,8,4,5,1,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,2,3,8,1,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[8,1,4,5,7,3,6,2] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 3
[2,5,7,4,6,8,1,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[4,2,3,6,8,5,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[1,5,6,3,7,2,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[6,8,5,1,7,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,2,3,8,7,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[4,6,8,2,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,6,8,4,7,2,3,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,6,5,7,2,3,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,6,2,8,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[4,6,7,8,2,1,5,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,6,4,2,8,1,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[6,8,7,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,7,6,8,3,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[2,4,8,5,7,3,1,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[2,4,3,8,5,1,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[6,2,8,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[7,2,8,3,1,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 0
[5,7,6,3,2,4,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,8,6,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,4,7,2,1,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,2,6,3,1,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,8,2,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,2,8,7,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,6,2,8,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[8,1,5,7,6,3,2,4] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[8,1,5,3,7,6,2,4] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[6,5,1,8,3,7,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,7,6,3,8,2,4,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,4,1,8,5,3,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,4,3,6,7,1,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 0
[4,6,5,2,1,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[3,4,5,6,2,1,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[3,4,5,2,1,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 1
[7,2,4,5,6,8,3,1] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[2,7,4,5,6,8,3,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[1,6,8,4,7,5,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[4,6,5,8,2,3,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,2,3,8,7,1,4,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,2,4,1,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[3,4,2,5,1,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[4,2,3,6,8,5,7,1] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[6,5,1,8,3,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[4,6,7,8,5,2,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[7,2,8,3,5,6,1,4] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[1,7,3,8,5,4,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[7,2,8,4,5,3,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[1,5,8,3,4,6,2,7] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8,7,5,4,6,3,2] => 1
[5,8,2,6,3,1,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,1,4,8,5,3,7,6] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 2
[1,5,8,3,4,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[5,6,4,8,7,2,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[8,9,2,3,4,5,6,1,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[6,8,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[2,5,7,8,4,3,1,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[1,6,8,5,3,2,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,8,4,7,6,5,3,2] => 2
[1,3,7,5,8,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 0
[6,4,1,8,3,7,5,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,8,5,2,7,3,1,6] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[1,5,7,6,3,8,2,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[8,2,1,3,4,5,6,9,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[8,2,3,1,4,5,6,9,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 0
[3,4,7,6,8,2,1,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 2
[2,8,1,3,7,5,6,4] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 2
[3,4,7,1,5,8,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => 0
[1,5,3,6,8,4,7,2] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,8,7,4,6,5,3,2] => 1
[6,5,1,3,8,4,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[5,3,2,1,7,8,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,4,1,7,3,2,5] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[5,8,2,1,3,6,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[2,7,4,8,3,1,5,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 0
[8,2,1,3,7,4,6,5] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => 3
[6,5,8,2,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[4,2,6,7,5,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[4,2,8,5,7,1,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => 2
[6,5,8,1,7,3,2,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[1,6,4,3,8,7,5,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[7,2,3,5,6,8,4,1] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[7,2,4,5,3,1,6,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[3,7,4,6,2,1,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,2,3,8,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[6,3,2,4,8,7,1,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,4,6,2,8,7,3,1] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[4,6,5,7,2,1,8,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,7,3,2,8,4,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[7,2,4,1,5,3,8,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 0
[5,6,7,2,3,8,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => 0
[3,2,1,7,4,6,8,5] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[1,5,3,4,7,2,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 0
[3,1,8,7,6,2,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,8,1] => 4
[5,2,3,6,1,8,4,7] => [[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => 1
[3,4,5,6,2,7,8,9,10,1] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[5,3,4,7,6,2,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,6,2,1,8,4,7,5] => [[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,3,2,7,5,6,8,1] => 2
[2,3,7,1,5,6,4,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,5,6,7,3,2,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8,7,4,5,6,3,2] => 0
[8,1,5,3,4,7,2,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[4,6,2,3,7,1,8,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[6,8,7,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[6,4,5,8,7,1,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[4,6,7,5,8,2,1,3] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[2,5,7,6,4,1,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[2,1,3,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[5,3,2,7,6,1,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,6,4,2,8,7,1,3] => [[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,3,7,4,6,5,2,1] => 2
[2,3,7,1,8,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 0
[1,7,3,8,2,5,4,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[6,3,2,8,1,7,4,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[1,6,8,7,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[6,8,7,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 2
[5,4,1,3,6,8,7,2] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => 3
[6,8,2,3,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,7,6,3,4,2,8,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[4,6,7,2,3,5,8,1] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[5,3,7,8,2,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,7,5,3,4,8,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,8,5,4,7,6,3,2] => 0
[5,8,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[3,4,8,5,7,2,6,1] => [[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 3
[1,5,3,8,4,7,2,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8,7,5,6,4,3,2] => 2
[6,4,8,1,5,3,7,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
[1,6,4,3,5,8,2,7] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[5,7,6,3,4,2,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,8,7,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,5,4,3,6,2,1,8] => 2
[5,7,3,6,4,2,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,4,5,2,1,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 1
[5,3,7,8,4,2,1,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[6,5,8,2,3,4,1,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,3,6,5,4,2,1,8] => 2
[5,8,2,3,7,4,6,1] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => 2
[7,8,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 0
[4,6,7,5,2,3,1,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 0
[1,6,4,5,8,7,3,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,8,6,5,4,7,3,2] => 2
[8,1,5,3,2,7,4,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[5,3,7,2,8,6,9,1,10,4] => [[[[.,.],.],[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,7,6,5,4,3,2,1,9,10] => 1
[2,4,5,7,1,6,8,3] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 0
[2,5,7,8,6,4,1,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[8,1,5,3,7,4,2,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 2
[5,2,1,3,8,4,6,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,5,1,3,8,2,4,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => 2
[8,2,3,5,4,1,7,6] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 2
[4,2,6,3,5,8,1,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 1
[5,3,2,7,6,4,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,3,7,4,6,2,1,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,3,2,1,8,6,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[5,7,6,3,2,1,8,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[1,7,3,5,4,2,6,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 0
[2,5,4,7,1,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 1
[8,1,7,6,4,2,3,5] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,8,6,7,3] => 3
[5,7,3,4,2,8,6,1] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 1
[3,7,4,2,6,8,5,1] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,3,2,8,5,7,6,1] => 2
[6,2,8,3,7,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 1
[5,2,3,8,6,1,4,7] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => 1
[6,4,5,1,8,7,3,2] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
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 small exceedances.
This is the number of indices $i$ such that $\pi_i=i+1$.
This is the number of indices $i$ such that $\pi_i=i+1$.
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
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
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